| 1 | MODULE advec_ws |
|---|
| 2 | |
|---|
| 3 | !-----------------------------------------------------------------------------! |
|---|
| 4 | ! Current revisions: |
|---|
| 5 | ! ------------------ |
|---|
| 6 | ! Number of IBITS() calls with identical arguments is reduced. |
|---|
| 7 | ! |
|---|
| 8 | ! Former revisions: |
|---|
| 9 | ! ----------------- |
|---|
| 10 | ! $Id: advec_ws.f90 888 2012-04-20 15:03:46Z suehring $ |
|---|
| 11 | |
|---|
| 12 | ! 862 2012-03-26 14:21:38Z suehring |
|---|
| 13 | ! ws-scheme also work with topography in combination with vector version. |
|---|
| 14 | ! ws-scheme also work with outflow boundaries in combination with |
|---|
| 15 | ! vector version. |
|---|
| 16 | ! Degradation of the applied order of scheme is now steered by multiplying with |
|---|
| 17 | ! Integer wall_flags_0. 2nd order scheme, WS3 and WS5 are calculated on each |
|---|
| 18 | ! grid point and mulitplied with the appropriate flag. |
|---|
| 19 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
|---|
| 20 | ! term derived according to the 4th and 6th order terms is applied. It turns |
|---|
| 21 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
|---|
| 22 | ! Therefore, the function diss_2nd is removed. |
|---|
| 23 | ! Near walls a divergence correction is necessary to overcome numerical |
|---|
| 24 | ! instabilities due to too less divergence reduction of the velocity field. |
|---|
| 25 | ! boundary_flags and logicals steering the degradation are removed. |
|---|
| 26 | ! Empty SUBROUTINE local_diss removed. |
|---|
| 27 | ! Further formatting adjustments. |
|---|
| 28 | ! |
|---|
| 29 | ! 801 2012-01-10 17:30:36Z suehring |
|---|
| 30 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
|---|
| 31 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
|---|
| 32 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
|---|
| 33 | ! dimension. |
|---|
| 34 | ! |
|---|
| 35 | ! 743 2011-08-18 16:10:16Z suehring |
|---|
| 36 | ! Evaluation of turbulent fluxes with WS-scheme only for the whole model |
|---|
| 37 | ! domain. Therefor dimension of arrays needed for statistical evaluation |
|---|
| 38 | ! decreased. |
|---|
| 39 | ! |
|---|
| 40 | ! 736 2011-08-17 14:13:26Z suehring |
|---|
| 41 | ! Bugfix concerning OpenMP parallelization. i_omp introduced, because first |
|---|
| 42 | ! index where fluxes on left side have to be calculated explicitly is |
|---|
| 43 | ! different on each thread. Furthermore the swapping of fluxes is now |
|---|
| 44 | ! thread-safe by adding an additional dimension. |
|---|
| 45 | ! |
|---|
| 46 | ! 713 2011-03-30 14:21:21Z suehring |
|---|
| 47 | ! File reformatted. |
|---|
| 48 | ! Bugfix in vertical advection of w concerning the optimized version for |
|---|
| 49 | ! vector architecture. |
|---|
| 50 | ! Constants adv_mom_3, adv_mom_5, adv_sca_5, adv_sca_3 reformulated as |
|---|
| 51 | ! broken numbers. |
|---|
| 52 | ! |
|---|
| 53 | ! 709 2011-03-30 09:31:40Z raasch |
|---|
| 54 | ! formatting adjustments |
|---|
| 55 | ! |
|---|
| 56 | ! 705 2011-03-25 11:21:43 Z suehring $ |
|---|
| 57 | ! Bugfix in declaration of logicals concerning outflow boundaries. |
|---|
| 58 | ! |
|---|
| 59 | ! 411 2009-12-11 12:31:43 Z suehring |
|---|
| 60 | ! Allocation of weight_substep moved to init_3d_model. |
|---|
| 61 | ! Declaration of ws_scheme_sca and ws_scheme_mom moved to check_parameters. |
|---|
| 62 | ! Setting bc for the horizontal velocity variances added (moved from |
|---|
| 63 | ! flow_statistics). |
|---|
| 64 | ! |
|---|
| 65 | ! Initial revision |
|---|
| 66 | ! |
|---|
| 67 | ! 411 2009-12-11 12:31:43 Z suehring |
|---|
| 68 | ! |
|---|
| 69 | ! Description: |
|---|
| 70 | ! ------------ |
|---|
| 71 | ! Advection scheme for scalars and momentum using the flux formulation of |
|---|
| 72 | ! Wicker and Skamarock 5th order. Additionally the module contains of a |
|---|
| 73 | ! routine using for initialisation and steering of the statical evaluation. |
|---|
| 74 | ! The computation of turbulent fluxes takes place inside the advection |
|---|
| 75 | ! routines. |
|---|
| 76 | ! Near non-cyclic boundaries the order of the applied advection scheme is |
|---|
| 77 | ! degraded. |
|---|
| 78 | ! A divergence correction is applied. It is necessary for topography, since |
|---|
| 79 | ! the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
|---|
| 80 | ! partly numerical instabilities. |
|---|
| 81 | !-----------------------------------------------------------------------------! |
|---|
| 82 | |
|---|
| 83 | PRIVATE |
|---|
| 84 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, & |
|---|
| 85 | ws_init, ws_statistics |
|---|
| 86 | |
|---|
| 87 | INTERFACE ws_init |
|---|
| 88 | MODULE PROCEDURE ws_init |
|---|
| 89 | END INTERFACE ws_init |
|---|
| 90 | |
|---|
| 91 | INTERFACE ws_statistics |
|---|
| 92 | MODULE PROCEDURE ws_statistics |
|---|
| 93 | END INTERFACE ws_statistics |
|---|
| 94 | |
|---|
| 95 | INTERFACE advec_s_ws |
|---|
| 96 | MODULE PROCEDURE advec_s_ws |
|---|
| 97 | MODULE PROCEDURE advec_s_ws_ij |
|---|
| 98 | END INTERFACE advec_s_ws |
|---|
| 99 | |
|---|
| 100 | INTERFACE advec_u_ws |
|---|
| 101 | MODULE PROCEDURE advec_u_ws |
|---|
| 102 | MODULE PROCEDURE advec_u_ws_ij |
|---|
| 103 | END INTERFACE advec_u_ws |
|---|
| 104 | |
|---|
| 105 | INTERFACE advec_v_ws |
|---|
| 106 | MODULE PROCEDURE advec_v_ws |
|---|
| 107 | MODULE PROCEDURE advec_v_ws_ij |
|---|
| 108 | END INTERFACE advec_v_ws |
|---|
| 109 | |
|---|
| 110 | INTERFACE advec_w_ws |
|---|
| 111 | MODULE PROCEDURE advec_w_ws |
|---|
| 112 | MODULE PROCEDURE advec_w_ws_ij |
|---|
| 113 | END INTERFACE advec_w_ws |
|---|
| 114 | |
|---|
| 115 | CONTAINS |
|---|
| 116 | |
|---|
| 117 | |
|---|
| 118 | !------------------------------------------------------------------------------! |
|---|
| 119 | ! Initialization of WS-scheme |
|---|
| 120 | !------------------------------------------------------------------------------! |
|---|
| 121 | SUBROUTINE ws_init |
|---|
| 122 | |
|---|
| 123 | USE arrays_3d |
|---|
| 124 | USE constants |
|---|
| 125 | USE control_parameters |
|---|
| 126 | USE indices |
|---|
| 127 | USE pegrid |
|---|
| 128 | USE statistics |
|---|
| 129 | |
|---|
| 130 | ! |
|---|
| 131 | !-- Set the appropriate factors for scalar and momentum advection. |
|---|
| 132 | adv_sca_5 = 1./60. |
|---|
| 133 | adv_sca_3 = 1./12. |
|---|
| 134 | adv_sca_1 = 1./2. |
|---|
| 135 | adv_mom_5 = 1./120. |
|---|
| 136 | adv_mom_3 = 1./24. |
|---|
| 137 | adv_mom_1 = 1./4. |
|---|
| 138 | ! |
|---|
| 139 | !-- Arrays needed for statical evaluation of fluxes. |
|---|
| 140 | IF ( ws_scheme_mom ) THEN |
|---|
| 141 | |
|---|
| 142 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
|---|
| 143 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
|---|
| 144 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
|---|
| 145 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
|---|
| 146 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
|---|
| 147 | |
|---|
| 148 | sums_wsus_ws_l = 0.0 |
|---|
| 149 | sums_wsvs_ws_l = 0.0 |
|---|
| 150 | sums_us2_ws_l = 0.0 |
|---|
| 151 | sums_vs2_ws_l = 0.0 |
|---|
| 152 | sums_ws2_ws_l = 0.0 |
|---|
| 153 | |
|---|
| 154 | ENDIF |
|---|
| 155 | |
|---|
| 156 | IF ( ws_scheme_sca ) THEN |
|---|
| 157 | |
|---|
| 158 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
|---|
| 159 | sums_wspts_ws_l = 0.0 |
|---|
| 160 | |
|---|
| 161 | IF ( humidity .OR. passive_scalar ) THEN |
|---|
| 162 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
|---|
| 163 | sums_wsqs_ws_l = 0.0 |
|---|
| 164 | ENDIF |
|---|
| 165 | |
|---|
| 166 | IF ( ocean ) THEN |
|---|
| 167 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
|---|
| 168 | sums_wssas_ws_l = 0.0 |
|---|
| 169 | ENDIF |
|---|
| 170 | |
|---|
| 171 | ENDIF |
|---|
| 172 | |
|---|
| 173 | ! |
|---|
| 174 | !-- Arrays needed for reasons of speed optimization for cache and noopt |
|---|
| 175 | !-- version. For the vector version the buffer arrays are not necessary, |
|---|
| 176 | !-- because the the fluxes can swapped directly inside the loops of the |
|---|
| 177 | !-- advection routines. |
|---|
| 178 | IF ( loop_optimization /= 'vector' ) THEN |
|---|
| 179 | |
|---|
| 180 | IF ( ws_scheme_mom ) THEN |
|---|
| 181 | |
|---|
| 182 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 183 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 184 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 185 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 186 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 187 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 188 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 189 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 190 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 191 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 192 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 193 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 194 | |
|---|
| 195 | ENDIF |
|---|
| 196 | |
|---|
| 197 | IF ( ws_scheme_sca ) THEN |
|---|
| 198 | |
|---|
| 199 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 200 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 201 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 202 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 203 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 204 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 205 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 206 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 207 | |
|---|
| 208 | IF ( humidity .OR. passive_scalar ) THEN |
|---|
| 209 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 210 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 211 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 212 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 213 | ENDIF |
|---|
| 214 | |
|---|
| 215 | IF ( ocean ) THEN |
|---|
| 216 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 217 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 218 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 219 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 220 | ENDIF |
|---|
| 221 | |
|---|
| 222 | ENDIF |
|---|
| 223 | |
|---|
| 224 | ENDIF |
|---|
| 225 | |
|---|
| 226 | END SUBROUTINE ws_init |
|---|
| 227 | |
|---|
| 228 | |
|---|
| 229 | !------------------------------------------------------------------------------! |
|---|
| 230 | ! Initialize variables used for storing statistic qauntities (fluxes, variances) |
|---|
| 231 | !------------------------------------------------------------------------------! |
|---|
| 232 | SUBROUTINE ws_statistics |
|---|
| 233 | |
|---|
| 234 | USE control_parameters |
|---|
| 235 | USE statistics |
|---|
| 236 | |
|---|
| 237 | IMPLICIT NONE |
|---|
| 238 | |
|---|
| 239 | ! |
|---|
| 240 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
|---|
| 241 | !-- beginning of prognostic_equations. |
|---|
| 242 | IF ( ws_scheme_mom ) THEN |
|---|
| 243 | sums_wsus_ws_l = 0.0 |
|---|
| 244 | sums_wsvs_ws_l = 0.0 |
|---|
| 245 | sums_us2_ws_l = 0.0 |
|---|
| 246 | sums_vs2_ws_l = 0.0 |
|---|
| 247 | sums_ws2_ws_l = 0.0 |
|---|
| 248 | ENDIF |
|---|
| 249 | |
|---|
| 250 | IF ( ws_scheme_sca ) THEN |
|---|
| 251 | sums_wspts_ws_l = 0.0 |
|---|
| 252 | IF ( humidity .OR. passive_scalar ) sums_wsqs_ws_l = 0.0 |
|---|
| 253 | IF ( ocean ) sums_wssas_ws_l = 0.0 |
|---|
| 254 | |
|---|
| 255 | ENDIF |
|---|
| 256 | |
|---|
| 257 | END SUBROUTINE ws_statistics |
|---|
| 258 | |
|---|
| 259 | |
|---|
| 260 | !------------------------------------------------------------------------------! |
|---|
| 261 | ! Scalar advection - Call for grid point i,j |
|---|
| 262 | !------------------------------------------------------------------------------! |
|---|
| 263 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char,swap_flux_y_local, & |
|---|
| 264 | swap_diss_y_local, swap_flux_x_local, & |
|---|
| 265 | swap_diss_x_local, i_omp, tn ) |
|---|
| 266 | |
|---|
| 267 | USE arrays_3d |
|---|
| 268 | USE constants |
|---|
| 269 | USE control_parameters |
|---|
| 270 | USE grid_variables |
|---|
| 271 | USE indices |
|---|
| 272 | USE pegrid |
|---|
| 273 | USE statistics |
|---|
| 274 | |
|---|
| 275 | IMPLICIT NONE |
|---|
| 276 | |
|---|
| 277 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
|---|
| 278 | ibit7, ibit8, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 279 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
|---|
| 280 | REAL, DIMENSION(:,:,:), POINTER :: sk |
|---|
| 281 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, & |
|---|
| 282 | flux_r, flux_t |
|---|
| 283 | REAL, DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local, & |
|---|
| 284 | swap_flux_y_local |
|---|
| 285 | REAL, DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: & |
|---|
| 286 | swap_diss_x_local, & |
|---|
| 287 | swap_flux_x_local |
|---|
| 288 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
|---|
| 289 | |
|---|
| 290 | ! |
|---|
| 291 | !-- Compute southside fluxes of the respective PE bounds. |
|---|
| 292 | IF ( j == nys ) THEN |
|---|
| 293 | ! |
|---|
| 294 | !-- Up to the top of the highest topography. |
|---|
| 295 | DO k = nzb+1, nzb_max |
|---|
| 296 | |
|---|
| 297 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 298 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 299 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 300 | |
|---|
| 301 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 302 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 303 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 304 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 305 | + ibit3 * adv_sca_1 & |
|---|
| 306 | ) * & |
|---|
| 307 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 308 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 309 | + ibit4 * adv_sca_3 & |
|---|
| 310 | ) * & |
|---|
| 311 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 312 | + ( ibit5 * adv_sca_5 & |
|---|
| 313 | ) * & |
|---|
| 314 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 315 | ) |
|---|
| 316 | |
|---|
| 317 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 318 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 319 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 320 | + ibit3 * adv_sca_1 & |
|---|
| 321 | ) * & |
|---|
| 322 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 323 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 324 | + ibit4 * adv_sca_3 & |
|---|
| 325 | ) * & |
|---|
| 326 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 327 | + ( ibit5 * adv_sca_5 & |
|---|
| 328 | ) * & |
|---|
| 329 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 330 | ) |
|---|
| 331 | |
|---|
| 332 | ENDDO |
|---|
| 333 | ! |
|---|
| 334 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 335 | DO k = nzb_max+1, nzt |
|---|
| 336 | |
|---|
| 337 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 338 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 339 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 340 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 341 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 342 | ) * adv_sca_5 |
|---|
| 343 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 344 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 345 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 346 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 347 | ) * adv_sca_5 |
|---|
| 348 | |
|---|
| 349 | ENDDO |
|---|
| 350 | |
|---|
| 351 | ENDIF |
|---|
| 352 | ! |
|---|
| 353 | !-- Compute leftside fluxes of the respective PE bounds. |
|---|
| 354 | IF ( i == i_omp ) THEN |
|---|
| 355 | |
|---|
| 356 | DO k = nzb+1, nzb_max |
|---|
| 357 | |
|---|
| 358 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 359 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 360 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 361 | |
|---|
| 362 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 363 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 364 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 365 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 366 | + ibit0 * adv_sca_1 & |
|---|
| 367 | ) * & |
|---|
| 368 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 369 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 370 | + ibit1 * adv_sca_3 & |
|---|
| 371 | ) * & |
|---|
| 372 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 373 | + ( ibit2 * adv_sca_5 & |
|---|
| 374 | ) * & |
|---|
| 375 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 376 | ) |
|---|
| 377 | |
|---|
| 378 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 379 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 380 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 381 | + ibit0 * adv_sca_1 & |
|---|
| 382 | ) * & |
|---|
| 383 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 384 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 385 | + ibit1 * adv_sca_3 & |
|---|
| 386 | ) * & |
|---|
| 387 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 388 | + ( ibit2 * adv_sca_5 & |
|---|
| 389 | ) * & |
|---|
| 390 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 391 | ) |
|---|
| 392 | |
|---|
| 393 | ENDDO |
|---|
| 394 | |
|---|
| 395 | DO k = nzb_max+1, nzt |
|---|
| 396 | |
|---|
| 397 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 398 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 399 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 400 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 401 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 402 | ) * adv_sca_5 |
|---|
| 403 | |
|---|
| 404 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 405 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 406 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 407 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 408 | ) * adv_sca_5 |
|---|
| 409 | |
|---|
| 410 | ENDDO |
|---|
| 411 | |
|---|
| 412 | ENDIF |
|---|
| 413 | |
|---|
| 414 | flux_t(0) = 0.0 |
|---|
| 415 | diss_t(0) = 0.0 |
|---|
| 416 | flux_d = 0.0 |
|---|
| 417 | diss_d = 0.0 |
|---|
| 418 | ! |
|---|
| 419 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 420 | !-- vertical parts up to the top of the highest topography. |
|---|
| 421 | DO k = nzb+1, nzb_max |
|---|
| 422 | ! |
|---|
| 423 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
|---|
| 424 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
|---|
| 425 | !-- flux at the end. |
|---|
| 426 | |
|---|
| 427 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 428 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 429 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 430 | |
|---|
| 431 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 432 | flux_r(k) = u_comp * ( & |
|---|
| 433 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 434 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 435 | + ibit0 * adv_sca_1 & |
|---|
| 436 | ) * & |
|---|
| 437 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 438 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 439 | + ibit1 * adv_sca_3 & |
|---|
| 440 | ) * & |
|---|
| 441 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 442 | + ( ibit2 * adv_sca_5 & |
|---|
| 443 | ) * & |
|---|
| 444 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 445 | ) |
|---|
| 446 | |
|---|
| 447 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 448 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 449 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 450 | + ibit0 * adv_sca_1 & |
|---|
| 451 | ) * & |
|---|
| 452 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 453 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 454 | + ibit1 * adv_sca_3 & |
|---|
| 455 | ) * & |
|---|
| 456 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 457 | + ( ibit2 * adv_sca_5 & |
|---|
| 458 | ) * & |
|---|
| 459 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 460 | ) |
|---|
| 461 | |
|---|
| 462 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 463 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 464 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 465 | |
|---|
| 466 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 467 | flux_n(k) = v_comp * ( & |
|---|
| 468 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 469 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 470 | + ibit3 * adv_sca_1 & |
|---|
| 471 | ) * & |
|---|
| 472 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 473 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 474 | + ibit4 * adv_sca_3 & |
|---|
| 475 | ) * & |
|---|
| 476 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 477 | + ( ibit5 * adv_sca_5 & |
|---|
| 478 | ) * & |
|---|
| 479 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 480 | ) |
|---|
| 481 | |
|---|
| 482 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 483 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 484 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 485 | + ibit3 * adv_sca_1 & |
|---|
| 486 | ) * & |
|---|
| 487 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 488 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 489 | + ibit4 * adv_sca_3 & |
|---|
| 490 | ) * & |
|---|
| 491 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 492 | + ( ibit5 * adv_sca_5 & |
|---|
| 493 | ) * & |
|---|
| 494 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 495 | ) |
|---|
| 496 | ! |
|---|
| 497 | !-- k index has to be modified near bottom and top, else array |
|---|
| 498 | !-- subscripts will be exceeded. |
|---|
| 499 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 500 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 501 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 502 | |
|---|
| 503 | k_ppp = k + 3 * ibit8 |
|---|
| 504 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 505 | k_mm = k - 2 * ibit8 |
|---|
| 506 | |
|---|
| 507 | |
|---|
| 508 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 509 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 510 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 511 | + ibit6 * adv_sca_1 & |
|---|
| 512 | ) * & |
|---|
| 513 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 514 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 515 | + ibit7 * adv_sca_3 & |
|---|
| 516 | ) * & |
|---|
| 517 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 518 | + ( ibit8 * adv_sca_5 & |
|---|
| 519 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 520 | ) |
|---|
| 521 | |
|---|
| 522 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 523 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 524 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 525 | + ibit6 * adv_sca_1 & |
|---|
| 526 | ) * & |
|---|
| 527 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 528 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 529 | + ibit7 * adv_sca_3 & |
|---|
| 530 | ) * & |
|---|
| 531 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 532 | + ( ibit8 * adv_sca_5 & |
|---|
| 533 | ) * & |
|---|
| 534 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 535 | ) |
|---|
| 536 | ! |
|---|
| 537 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 538 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 539 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 540 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 541 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 542 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 543 | |
|---|
| 544 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 545 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 546 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 547 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 548 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 549 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 550 | ) * ddzw(k) & |
|---|
| 551 | ) + sk(k,j,i) * div |
|---|
| 552 | |
|---|
| 553 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 554 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 555 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 556 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 557 | flux_d = flux_t(k) |
|---|
| 558 | diss_d = diss_t(k) |
|---|
| 559 | |
|---|
| 560 | ENDDO |
|---|
| 561 | ! |
|---|
| 562 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 563 | !-- vertical parts above the top of the highest topography. No degradation |
|---|
| 564 | !-- for the horizontal parts, but for the vertical it is stell needed. |
|---|
| 565 | DO k = nzb_max+1, nzt |
|---|
| 566 | |
|---|
| 567 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 568 | flux_r(k) = u_comp * ( & |
|---|
| 569 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 570 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 571 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 572 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 573 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 574 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 575 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 576 | |
|---|
| 577 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 578 | flux_n(k) = v_comp * ( & |
|---|
| 579 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 580 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 581 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 582 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 583 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 584 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 585 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 586 | ! |
|---|
| 587 | !-- k index has to be modified near bottom and top, else array |
|---|
| 588 | !-- subscripts will be exceeded. |
|---|
| 589 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 590 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 591 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 592 | |
|---|
| 593 | k_ppp = k + 3 * ibit8 |
|---|
| 594 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 595 | k_mm = k - 2 * ibit8 |
|---|
| 596 | |
|---|
| 597 | |
|---|
| 598 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 599 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 600 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 601 | + ibit6 * adv_sca_1 & |
|---|
| 602 | ) * & |
|---|
| 603 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 604 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 605 | + ibit7 * adv_sca_3 & |
|---|
| 606 | ) * & |
|---|
| 607 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 608 | + ( ibit8 * adv_sca_5 & |
|---|
| 609 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 610 | ) |
|---|
| 611 | |
|---|
| 612 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 613 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 614 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 615 | + ibit6 * adv_sca_1 & |
|---|
| 616 | ) * & |
|---|
| 617 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 618 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 619 | + ibit7 * adv_sca_3 & |
|---|
| 620 | ) * & |
|---|
| 621 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 622 | + ( ibit8 * adv_sca_5 & |
|---|
| 623 | ) * & |
|---|
| 624 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 625 | ) |
|---|
| 626 | ! |
|---|
| 627 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 628 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 629 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 630 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 631 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 632 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 633 | |
|---|
| 634 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 635 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 636 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 637 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 638 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 639 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 640 | ) * ddzw(k) & |
|---|
| 641 | ) + sk(k,j,i) * div |
|---|
| 642 | |
|---|
| 643 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 644 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 645 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 646 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 647 | flux_d = flux_t(k) |
|---|
| 648 | diss_d = diss_t(k) |
|---|
| 649 | |
|---|
| 650 | ENDDO |
|---|
| 651 | |
|---|
| 652 | ! |
|---|
| 653 | !-- Evaluation of statistics |
|---|
| 654 | SELECT CASE ( sk_char ) |
|---|
| 655 | |
|---|
| 656 | CASE ( 'pt' ) |
|---|
| 657 | |
|---|
| 658 | DO k = nzb, nzt |
|---|
| 659 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
|---|
| 660 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 661 | * weight_substep(intermediate_timestep_count) |
|---|
| 662 | ENDDO |
|---|
| 663 | |
|---|
| 664 | CASE ( 'sa' ) |
|---|
| 665 | |
|---|
| 666 | DO k = nzb, nzt |
|---|
| 667 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
|---|
| 668 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 669 | * weight_substep(intermediate_timestep_count) |
|---|
| 670 | ENDDO |
|---|
| 671 | |
|---|
| 672 | CASE ( 'q' ) |
|---|
| 673 | |
|---|
| 674 | DO k = nzb, nzt |
|---|
| 675 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
|---|
| 676 | ( flux_t(k) + diss_t(k) ) & |
|---|
| 677 | * weight_substep(intermediate_timestep_count) |
|---|
| 678 | ENDDO |
|---|
| 679 | |
|---|
| 680 | END SELECT |
|---|
| 681 | |
|---|
| 682 | END SUBROUTINE advec_s_ws_ij |
|---|
| 683 | |
|---|
| 684 | |
|---|
| 685 | |
|---|
| 686 | |
|---|
| 687 | !------------------------------------------------------------------------------! |
|---|
| 688 | ! Advection of u-component - Call for grid point i,j |
|---|
| 689 | !------------------------------------------------------------------------------! |
|---|
| 690 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
|---|
| 691 | |
|---|
| 692 | USE arrays_3d |
|---|
| 693 | USE constants |
|---|
| 694 | USE control_parameters |
|---|
| 695 | USE grid_variables |
|---|
| 696 | USE indices |
|---|
| 697 | USE statistics |
|---|
| 698 | |
|---|
| 699 | IMPLICIT NONE |
|---|
| 700 | |
|---|
| 701 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
|---|
| 702 | ibit16, ibit17, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 703 | REAL :: diss_d, div, flux_d, gu, gv, u_comp_l, v_comp, w_comp |
|---|
| 704 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 705 | flux_t, u_comp |
|---|
| 706 | |
|---|
| 707 | gu = 2.0 * u_gtrans |
|---|
| 708 | gv = 2.0 * v_gtrans |
|---|
| 709 | ! |
|---|
| 710 | !-- Compute southside fluxes for the respective boundary of PE |
|---|
| 711 | IF ( j == nys ) THEN |
|---|
| 712 | |
|---|
| 713 | DO k = nzb+1, nzb_max |
|---|
| 714 | |
|---|
| 715 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 716 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 717 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 718 | |
|---|
| 719 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 720 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 721 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 722 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 723 | + ibit12 * adv_mom_1 & |
|---|
| 724 | ) * & |
|---|
| 725 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 726 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 727 | + ibit13 * adv_mom_3 & |
|---|
| 728 | ) * & |
|---|
| 729 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 730 | + ( ibit14 * adv_mom_5 & |
|---|
| 731 | ) * & |
|---|
| 732 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 733 | ) |
|---|
| 734 | |
|---|
| 735 | diss_s_u(k,tn) = - ABS ( v_comp ) * ( & |
|---|
| 736 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 737 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 738 | + ibit12 * adv_mom_1 & |
|---|
| 739 | ) * & |
|---|
| 740 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 741 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 742 | + ibit13 * adv_mom_3 & |
|---|
| 743 | ) * & |
|---|
| 744 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 745 | + ( ibit14 * adv_mom_5 & |
|---|
| 746 | ) * & |
|---|
| 747 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 748 | ) |
|---|
| 749 | |
|---|
| 750 | ENDDO |
|---|
| 751 | |
|---|
| 752 | DO k = nzb_max+1, nzt |
|---|
| 753 | |
|---|
| 754 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 755 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 756 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 757 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 758 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 759 | diss_s_u(k,tn) = - ABS(v_comp) * ( & |
|---|
| 760 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 761 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 762 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 763 | |
|---|
| 764 | ENDDO |
|---|
| 765 | |
|---|
| 766 | ENDIF |
|---|
| 767 | ! |
|---|
| 768 | !-- Compute leftside fluxes for the respective boundary of PE |
|---|
| 769 | IF ( i == i_omp ) THEN |
|---|
| 770 | |
|---|
| 771 | DO k = nzb+1, nzb_max |
|---|
| 772 | |
|---|
| 773 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 774 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 775 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 776 | |
|---|
| 777 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 778 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 779 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 780 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 781 | + ibit9 * adv_mom_1 & |
|---|
| 782 | ) * & |
|---|
| 783 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 784 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 785 | + ibit10 * adv_mom_3 & |
|---|
| 786 | ) * & |
|---|
| 787 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 788 | + ( ibit11 * adv_mom_5 & |
|---|
| 789 | ) * & |
|---|
| 790 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 791 | ) |
|---|
| 792 | |
|---|
| 793 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
|---|
| 794 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 795 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 796 | + ibit9 * adv_mom_1 & |
|---|
| 797 | ) * & |
|---|
| 798 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 799 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 800 | + ibit10 * adv_mom_3 & |
|---|
| 801 | ) * & |
|---|
| 802 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 803 | + ( ibit11 * adv_mom_5 & |
|---|
| 804 | ) * & |
|---|
| 805 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 806 | ) |
|---|
| 807 | |
|---|
| 808 | ENDDO |
|---|
| 809 | |
|---|
| 810 | DO k = nzb_max+1, nzt |
|---|
| 811 | |
|---|
| 812 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 813 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 814 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 815 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 816 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 817 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
|---|
| 818 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 819 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 820 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 821 | |
|---|
| 822 | ENDDO |
|---|
| 823 | |
|---|
| 824 | ENDIF |
|---|
| 825 | |
|---|
| 826 | flux_t(0) = 0.0 |
|---|
| 827 | diss_t(0) = 0.0 |
|---|
| 828 | flux_d = 0.0 |
|---|
| 829 | diss_d = 0.0 |
|---|
| 830 | ! |
|---|
| 831 | !-- Now compute the fluxes tendency terms for the horizontal and |
|---|
| 832 | !-- vertical parts. |
|---|
| 833 | DO k = nzb+1, nzb_max |
|---|
| 834 | |
|---|
| 835 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 836 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 837 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 838 | |
|---|
| 839 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 840 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 841 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 842 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 843 | + ibit9 * adv_mom_1 & |
|---|
| 844 | ) * & |
|---|
| 845 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 846 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 847 | + ibit10 * adv_mom_3 & |
|---|
| 848 | ) * & |
|---|
| 849 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 850 | + ( ibit11 * adv_mom_5 & |
|---|
| 851 | ) * & |
|---|
| 852 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 853 | ) |
|---|
| 854 | |
|---|
| 855 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 856 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 857 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 858 | + ibit9 * adv_mom_1 & |
|---|
| 859 | ) * & |
|---|
| 860 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 861 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 862 | + ibit10 * adv_mom_3 & |
|---|
| 863 | ) * & |
|---|
| 864 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 865 | + ( ibit11 * adv_mom_5 & |
|---|
| 866 | ) * & |
|---|
| 867 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 868 | ) |
|---|
| 869 | |
|---|
| 870 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 871 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 872 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 873 | |
|---|
| 874 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 875 | flux_n(k) = v_comp * ( & |
|---|
| 876 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 877 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 878 | + ibit12 * adv_mom_1 & |
|---|
| 879 | ) * & |
|---|
| 880 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 881 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 882 | + ibit13 * adv_mom_3 & |
|---|
| 883 | ) * & |
|---|
| 884 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 885 | + ( ibit14 * adv_mom_5 & |
|---|
| 886 | ) * & |
|---|
| 887 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 888 | ) |
|---|
| 889 | |
|---|
| 890 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 891 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 892 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 893 | + ibit12 * adv_mom_1 & |
|---|
| 894 | ) * & |
|---|
| 895 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 896 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 897 | + ibit13 * adv_mom_3 & |
|---|
| 898 | ) * & |
|---|
| 899 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 900 | + ( ibit14 * adv_mom_5 & |
|---|
| 901 | ) * & |
|---|
| 902 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 903 | ) |
|---|
| 904 | ! |
|---|
| 905 | !-- k index has to be modified near bottom and top, else array |
|---|
| 906 | !-- subscripts will be exceeded. |
|---|
| 907 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 908 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 909 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 910 | |
|---|
| 911 | k_ppp = k + 3 * ibit17 |
|---|
| 912 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 913 | k_mm = k - 2 * ibit17 |
|---|
| 914 | |
|---|
| 915 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 916 | flux_t(k) = w_comp * ( & |
|---|
| 917 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 918 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 919 | + ibit15 * adv_mom_1 & |
|---|
| 920 | ) * & |
|---|
| 921 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 922 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 923 | + ibit16 * adv_mom_3 & |
|---|
| 924 | ) * & |
|---|
| 925 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 926 | + ( ibit17 * adv_mom_5 & |
|---|
| 927 | ) * & |
|---|
| 928 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 929 | ) |
|---|
| 930 | |
|---|
| 931 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 932 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 933 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 934 | + ibit15 * adv_mom_1 & |
|---|
| 935 | ) * & |
|---|
| 936 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 937 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 938 | + ibit16 * adv_mom_3 & |
|---|
| 939 | ) * & |
|---|
| 940 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 941 | + ( ibit17 * adv_mom_5 & |
|---|
| 942 | ) * & |
|---|
| 943 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 944 | ) |
|---|
| 945 | ! |
|---|
| 946 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 947 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 948 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 949 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 950 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 951 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
|---|
| 952 | ) * 0.5 |
|---|
| 953 | |
|---|
| 954 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 955 | ( flux_r(k) + diss_r(k) & |
|---|
| 956 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 957 | + ( flux_n(k) + diss_n(k) & |
|---|
| 958 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 959 | + ( flux_t(k) + diss_t(k) & |
|---|
| 960 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 961 | ) + div * u(k,j,i) |
|---|
| 962 | |
|---|
| 963 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 964 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 965 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 966 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 967 | flux_d = flux_t(k) |
|---|
| 968 | diss_d = diss_t(k) |
|---|
| 969 | ! |
|---|
| 970 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 971 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 972 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 973 | + ( flux_r(k) * & |
|---|
| 974 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 975 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 976 | + diss_r(k) * & |
|---|
| 977 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 978 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 979 | * weight_substep(intermediate_timestep_count) |
|---|
| 980 | ! |
|---|
| 981 | !-- Statistical Evaluation of w'u'. |
|---|
| 982 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 983 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 984 | * weight_substep(intermediate_timestep_count) |
|---|
| 985 | ENDDO |
|---|
| 986 | |
|---|
| 987 | DO k = nzb_max+1, nzt |
|---|
| 988 | |
|---|
| 989 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 990 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 991 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 992 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 993 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 994 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 995 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 996 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 997 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 998 | |
|---|
| 999 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 1000 | flux_n(k) = v_comp * ( & |
|---|
| 1001 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 1002 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 1003 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1004 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1005 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 1006 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 1007 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1008 | ! |
|---|
| 1009 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1010 | !-- subscripts will be exceeded. |
|---|
| 1011 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 1012 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 1013 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 1014 | |
|---|
| 1015 | k_ppp = k + 3 * ibit17 |
|---|
| 1016 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 1017 | k_mm = k - 2 * ibit17 |
|---|
| 1018 | |
|---|
| 1019 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 1020 | flux_t(k) = w_comp * ( & |
|---|
| 1021 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 1022 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 1023 | + ibit15 * adv_mom_1 & |
|---|
| 1024 | ) * & |
|---|
| 1025 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 1026 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 1027 | + ibit16 * adv_mom_3 & |
|---|
| 1028 | ) * & |
|---|
| 1029 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 1030 | + ( ibit17 * adv_mom_5 & |
|---|
| 1031 | ) * & |
|---|
| 1032 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 1033 | ) |
|---|
| 1034 | |
|---|
| 1035 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1036 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 1037 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 1038 | + ibit15 * adv_mom_1 & |
|---|
| 1039 | ) * & |
|---|
| 1040 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 1041 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 1042 | + ibit16 * adv_mom_3 & |
|---|
| 1043 | ) * & |
|---|
| 1044 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 1045 | + ( ibit17 * adv_mom_5 & |
|---|
| 1046 | ) * & |
|---|
| 1047 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 1048 | ) |
|---|
| 1049 | ! |
|---|
| 1050 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1051 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1052 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1053 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 1054 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 1055 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) * ddzw(k) & |
|---|
| 1056 | ) * 0.5 |
|---|
| 1057 | |
|---|
| 1058 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1059 | ( flux_r(k) + diss_r(k) & |
|---|
| 1060 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 1061 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1062 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 1063 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1064 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1065 | ) + div * u(k,j,i) |
|---|
| 1066 | |
|---|
| 1067 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 1068 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 1069 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 1070 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 1071 | flux_d = flux_t(k) |
|---|
| 1072 | diss_d = diss_t(k) |
|---|
| 1073 | ! |
|---|
| 1074 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 1075 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1076 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 1077 | + ( flux_r(k) * & |
|---|
| 1078 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 1079 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 1080 | + diss_r(k) * & |
|---|
| 1081 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 1082 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 1083 | * weight_substep(intermediate_timestep_count) |
|---|
| 1084 | ! |
|---|
| 1085 | !-- Statistical Evaluation of w'u'. |
|---|
| 1086 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 1087 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1088 | * weight_substep(intermediate_timestep_count) |
|---|
| 1089 | ENDDO |
|---|
| 1090 | |
|---|
| 1091 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 1092 | |
|---|
| 1093 | |
|---|
| 1094 | |
|---|
| 1095 | END SUBROUTINE advec_u_ws_ij |
|---|
| 1096 | |
|---|
| 1097 | |
|---|
| 1098 | |
|---|
| 1099 | !-----------------------------------------------------------------------------! |
|---|
| 1100 | ! Advection of v-component - Call for grid point i,j |
|---|
| 1101 | !-----------------------------------------------------------------------------! |
|---|
| 1102 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
|---|
| 1103 | |
|---|
| 1104 | USE arrays_3d |
|---|
| 1105 | USE constants |
|---|
| 1106 | USE control_parameters |
|---|
| 1107 | USE grid_variables |
|---|
| 1108 | USE indices |
|---|
| 1109 | USE statistics |
|---|
| 1110 | |
|---|
| 1111 | IMPLICIT NONE |
|---|
| 1112 | |
|---|
| 1113 | INTEGER :: i, ibit18, ibit19, ibit20, ibit21, ibit22, ibit23, ibit24, & |
|---|
| 1114 | ibit25, ibit26, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 1115 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp_l, w_comp |
|---|
| 1116 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1117 | flux_t, v_comp |
|---|
| 1118 | |
|---|
| 1119 | gu = 2.0 * u_gtrans |
|---|
| 1120 | gv = 2.0 * v_gtrans |
|---|
| 1121 | |
|---|
| 1122 | ! |
|---|
| 1123 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 1124 | IF ( i == i_omp ) THEN |
|---|
| 1125 | |
|---|
| 1126 | DO k = nzb+1, nzb_max |
|---|
| 1127 | |
|---|
| 1128 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 1129 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 1130 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 1131 | |
|---|
| 1132 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 1133 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 1134 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 1135 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 1136 | + ibit18 * adv_mom_1 & |
|---|
| 1137 | ) * & |
|---|
| 1138 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 1139 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 1140 | + ibit19 * adv_mom_3 & |
|---|
| 1141 | ) * & |
|---|
| 1142 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 1143 | + ( ibit20 * adv_mom_5 & |
|---|
| 1144 | ) * & |
|---|
| 1145 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 1146 | ) |
|---|
| 1147 | |
|---|
| 1148 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1149 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 1150 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 1151 | + ibit18 * adv_mom_1 & |
|---|
| 1152 | ) * & |
|---|
| 1153 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 1154 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 1155 | + ibit19 * adv_mom_3 & |
|---|
| 1156 | ) * & |
|---|
| 1157 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 1158 | + ( ibit20 * adv_mom_5 & |
|---|
| 1159 | ) * & |
|---|
| 1160 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 1161 | ) |
|---|
| 1162 | |
|---|
| 1163 | ENDDO |
|---|
| 1164 | |
|---|
| 1165 | DO k = nzb_max+1, nzt |
|---|
| 1166 | |
|---|
| 1167 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 1168 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 1169 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 1170 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 1171 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1172 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1173 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 1174 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 1175 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1176 | |
|---|
| 1177 | ENDDO |
|---|
| 1178 | |
|---|
| 1179 | ENDIF |
|---|
| 1180 | ! |
|---|
| 1181 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 1182 | IF ( j == nysv ) THEN |
|---|
| 1183 | |
|---|
| 1184 | DO k = nzb+1, nzb_max |
|---|
| 1185 | |
|---|
| 1186 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 1187 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 1188 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 1189 | |
|---|
| 1190 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 1191 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 1192 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 1193 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 1194 | + ibit21 * adv_mom_1 & |
|---|
| 1195 | ) * & |
|---|
| 1196 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 1197 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 1198 | + ibit22 * adv_mom_3 & |
|---|
| 1199 | ) * & |
|---|
| 1200 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 1201 | + ( ibit23 * adv_mom_5 & |
|---|
| 1202 | ) * & |
|---|
| 1203 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 1204 | ) |
|---|
| 1205 | |
|---|
| 1206 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 1207 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 1208 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 1209 | + ibit21 * adv_mom_1 & |
|---|
| 1210 | ) * & |
|---|
| 1211 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 1212 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 1213 | + ibit22 * adv_mom_3 & |
|---|
| 1214 | ) * & |
|---|
| 1215 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 1216 | + ( ibit23 * adv_mom_5 & |
|---|
| 1217 | ) * & |
|---|
| 1218 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 1219 | ) |
|---|
| 1220 | |
|---|
| 1221 | ENDDO |
|---|
| 1222 | |
|---|
| 1223 | DO k = nzb_max+1, nzt |
|---|
| 1224 | |
|---|
| 1225 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 1226 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 1227 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 1228 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 1229 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1230 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 1231 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 1232 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 1233 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1234 | |
|---|
| 1235 | ENDDO |
|---|
| 1236 | |
|---|
| 1237 | ENDIF |
|---|
| 1238 | |
|---|
| 1239 | flux_t(0) = 0.0 |
|---|
| 1240 | diss_t(0) = 0.0 |
|---|
| 1241 | flux_d = 0.0 |
|---|
| 1242 | diss_d = 0.0 |
|---|
| 1243 | ! |
|---|
| 1244 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1245 | !-- verical parts. |
|---|
| 1246 | DO k = nzb+1, nzb_max |
|---|
| 1247 | |
|---|
| 1248 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 1249 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 1250 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 1251 | |
|---|
| 1252 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 1253 | flux_r(k) = u_comp * ( & |
|---|
| 1254 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 1255 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 1256 | + ibit18 * adv_mom_1 & |
|---|
| 1257 | ) * & |
|---|
| 1258 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 1259 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 1260 | + ibit19 * adv_mom_3 & |
|---|
| 1261 | ) * & |
|---|
| 1262 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 1263 | + ( ibit20 * adv_mom_5 & |
|---|
| 1264 | ) * & |
|---|
| 1265 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 1266 | ) |
|---|
| 1267 | |
|---|
| 1268 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1269 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 1270 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 1271 | + ibit18 * adv_mom_1 & |
|---|
| 1272 | ) * & |
|---|
| 1273 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 1274 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 1275 | + ibit19 * adv_mom_3 & |
|---|
| 1276 | ) * & |
|---|
| 1277 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 1278 | + ( ibit20 * adv_mom_5 & |
|---|
| 1279 | ) * & |
|---|
| 1280 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 1281 | ) |
|---|
| 1282 | |
|---|
| 1283 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 1284 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 1285 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 1286 | |
|---|
| 1287 | |
|---|
| 1288 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 1289 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 1290 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 1291 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 1292 | + ibit21 * adv_mom_1 & |
|---|
| 1293 | ) * & |
|---|
| 1294 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 1295 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 1296 | + ibit22 * adv_mom_3 & |
|---|
| 1297 | ) * & |
|---|
| 1298 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 1299 | + ( ibit23 * adv_mom_5 & |
|---|
| 1300 | ) * & |
|---|
| 1301 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 1302 | ) |
|---|
| 1303 | |
|---|
| 1304 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 1305 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 1306 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 1307 | + ibit21 * adv_mom_1 & |
|---|
| 1308 | ) * & |
|---|
| 1309 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 1310 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 1311 | + ibit22 * adv_mom_3 & |
|---|
| 1312 | ) * & |
|---|
| 1313 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 1314 | + ( ibit23 * adv_mom_5 & |
|---|
| 1315 | ) * & |
|---|
| 1316 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 1317 | ) |
|---|
| 1318 | ! |
|---|
| 1319 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1320 | !-- subscripts will be exceeded. |
|---|
| 1321 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 1322 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 1323 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 1324 | |
|---|
| 1325 | k_ppp = k + 3 * ibit26 |
|---|
| 1326 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 1327 | k_mm = k - 2 * ibit26 |
|---|
| 1328 | |
|---|
| 1329 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 1330 | flux_t(k) = w_comp * ( & |
|---|
| 1331 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 1332 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 1333 | + ibit24 * adv_mom_1 & |
|---|
| 1334 | ) * & |
|---|
| 1335 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 1336 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 1337 | + ibit25 * adv_mom_3 & |
|---|
| 1338 | ) * & |
|---|
| 1339 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 1340 | + ( ibit26 * adv_mom_5 & |
|---|
| 1341 | ) * & |
|---|
| 1342 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 1343 | ) |
|---|
| 1344 | |
|---|
| 1345 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1346 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 1347 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 1348 | + ibit24 * adv_mom_1 & |
|---|
| 1349 | ) * & |
|---|
| 1350 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 1351 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 1352 | + ibit25 * adv_mom_3 & |
|---|
| 1353 | ) * & |
|---|
| 1354 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 1355 | + ( ibit26 * adv_mom_5 & |
|---|
| 1356 | ) * & |
|---|
| 1357 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 1358 | ) |
|---|
| 1359 | ! |
|---|
| 1360 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1361 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1362 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1363 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1364 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 1365 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
|---|
| 1366 | ) * 0.5 |
|---|
| 1367 | |
|---|
| 1368 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1369 | ( flux_r(k) + diss_r(k) & |
|---|
| 1370 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 1371 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1372 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 1373 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1374 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1375 | ) + v(k,j,i) * div |
|---|
| 1376 | |
|---|
| 1377 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 1378 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 1379 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 1380 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 1381 | flux_d = flux_t(k) |
|---|
| 1382 | diss_d = diss_t(k) |
|---|
| 1383 | |
|---|
| 1384 | ! |
|---|
| 1385 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 1386 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1387 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 1388 | + ( flux_n(k) & |
|---|
| 1389 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1390 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 1391 | + diss_n(k) & |
|---|
| 1392 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1393 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 1394 | * weight_substep(intermediate_timestep_count) |
|---|
| 1395 | ! |
|---|
| 1396 | !-- Statistical Evaluation of w'v'. |
|---|
| 1397 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 1398 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1399 | * weight_substep(intermediate_timestep_count) |
|---|
| 1400 | |
|---|
| 1401 | ENDDO |
|---|
| 1402 | |
|---|
| 1403 | DO k = nzb_max+1, nzt |
|---|
| 1404 | |
|---|
| 1405 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 1406 | flux_r(k) = u_comp * ( & |
|---|
| 1407 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 1408 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 1409 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1410 | |
|---|
| 1411 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1412 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 1413 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 1414 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1415 | |
|---|
| 1416 | |
|---|
| 1417 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 1418 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 1419 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 1420 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 1421 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1422 | |
|---|
| 1423 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 1424 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 1425 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 1426 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1427 | ! |
|---|
| 1428 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1429 | !-- subscripts will be exceeded. |
|---|
| 1430 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 1431 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 1432 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 1433 | |
|---|
| 1434 | k_ppp = k + 3 * ibit26 |
|---|
| 1435 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 1436 | k_mm = k - 2 * ibit26 |
|---|
| 1437 | |
|---|
| 1438 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 1439 | flux_t(k) = w_comp * ( & |
|---|
| 1440 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 1441 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 1442 | + ibit24 * adv_mom_1 & |
|---|
| 1443 | ) * & |
|---|
| 1444 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 1445 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 1446 | + ibit25 * adv_mom_3 & |
|---|
| 1447 | ) * & |
|---|
| 1448 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 1449 | + ( ibit26 * adv_mom_5 & |
|---|
| 1450 | ) * & |
|---|
| 1451 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 1452 | ) |
|---|
| 1453 | |
|---|
| 1454 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1455 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 1456 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 1457 | + ibit24 * adv_mom_1 & |
|---|
| 1458 | ) * & |
|---|
| 1459 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 1460 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 1461 | + ibit25 * adv_mom_3 & |
|---|
| 1462 | ) * & |
|---|
| 1463 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 1464 | + ( ibit26 * adv_mom_5 & |
|---|
| 1465 | ) * & |
|---|
| 1466 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 1467 | ) |
|---|
| 1468 | ! |
|---|
| 1469 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1470 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1471 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1472 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1473 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 1474 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) * ddzw(k) & |
|---|
| 1475 | ) * 0.5 |
|---|
| 1476 | |
|---|
| 1477 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1478 | ( flux_r(k) + diss_r(k) & |
|---|
| 1479 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 1480 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1481 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 1482 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1483 | - flux_d - diss_d ) * ddzw(k) & |
|---|
| 1484 | ) + v(k,j,i) * div |
|---|
| 1485 | |
|---|
| 1486 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 1487 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 1488 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 1489 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 1490 | flux_d = flux_t(k) |
|---|
| 1491 | diss_d = diss_t(k) |
|---|
| 1492 | |
|---|
| 1493 | ! |
|---|
| 1494 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 1495 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 1496 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 1497 | + ( flux_n(k) & |
|---|
| 1498 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1499 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 1500 | + diss_n(k) & |
|---|
| 1501 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 1502 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 1503 | * weight_substep(intermediate_timestep_count) |
|---|
| 1504 | ! |
|---|
| 1505 | !-- Statistical Evaluation of w'v'. |
|---|
| 1506 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 1507 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1508 | * weight_substep(intermediate_timestep_count) |
|---|
| 1509 | |
|---|
| 1510 | ENDDO |
|---|
| 1511 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 1512 | |
|---|
| 1513 | |
|---|
| 1514 | END SUBROUTINE advec_v_ws_ij |
|---|
| 1515 | |
|---|
| 1516 | |
|---|
| 1517 | |
|---|
| 1518 | !------------------------------------------------------------------------------! |
|---|
| 1519 | ! Advection of w-component - Call for grid point i,j |
|---|
| 1520 | !------------------------------------------------------------------------------! |
|---|
| 1521 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
|---|
| 1522 | |
|---|
| 1523 | USE arrays_3d |
|---|
| 1524 | USE constants |
|---|
| 1525 | USE control_parameters |
|---|
| 1526 | USE grid_variables |
|---|
| 1527 | USE indices |
|---|
| 1528 | USE statistics |
|---|
| 1529 | |
|---|
| 1530 | IMPLICIT NONE |
|---|
| 1531 | |
|---|
| 1532 | INTEGER :: i, ibit27, ibit28, ibit29, ibit30, ibit31, ibit32, ibit33, & |
|---|
| 1533 | ibit34, ibit35, i_omp, j, k, k_mm, k_pp, k_ppp, tn |
|---|
| 1534 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp, w_comp |
|---|
| 1535 | REAL, DIMENSION(nzb:nzt+1) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1536 | flux_t |
|---|
| 1537 | |
|---|
| 1538 | gu = 2.0 * u_gtrans |
|---|
| 1539 | gv = 2.0 * v_gtrans |
|---|
| 1540 | |
|---|
| 1541 | ! |
|---|
| 1542 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 1543 | IF ( j == nys ) THEN |
|---|
| 1544 | |
|---|
| 1545 | DO k = nzb+1, nzb_max |
|---|
| 1546 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 1547 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 1548 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 1549 | |
|---|
| 1550 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 1551 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 1552 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 1553 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 1554 | + ibit30 * adv_mom_1 & |
|---|
| 1555 | ) * & |
|---|
| 1556 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 1557 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 1558 | + ibit31 * adv_mom_3 & |
|---|
| 1559 | ) * & |
|---|
| 1560 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 1561 | + ( ibit32 * adv_mom_5 & |
|---|
| 1562 | ) * & |
|---|
| 1563 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 1564 | ) |
|---|
| 1565 | |
|---|
| 1566 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 1567 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 1568 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 1569 | + ibit30 * adv_mom_1 & |
|---|
| 1570 | ) * & |
|---|
| 1571 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 1572 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 1573 | + ibit31 * adv_mom_3 & |
|---|
| 1574 | ) * & |
|---|
| 1575 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 1576 | + ( ibit32 * adv_mom_5 & |
|---|
| 1577 | ) * & |
|---|
| 1578 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 1579 | ) |
|---|
| 1580 | |
|---|
| 1581 | ENDDO |
|---|
| 1582 | |
|---|
| 1583 | DO k = nzb_max+1, nzt |
|---|
| 1584 | |
|---|
| 1585 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 1586 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 1587 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 1588 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 1589 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1590 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 1591 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 1592 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 1593 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1594 | |
|---|
| 1595 | ENDDO |
|---|
| 1596 | |
|---|
| 1597 | ENDIF |
|---|
| 1598 | ! |
|---|
| 1599 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 1600 | IF ( i == i_omp ) THEN |
|---|
| 1601 | |
|---|
| 1602 | DO k = nzb+1, nzb_max |
|---|
| 1603 | |
|---|
| 1604 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 1605 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 1606 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 1607 | |
|---|
| 1608 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 1609 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 1610 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 1611 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 1612 | + ibit27 * adv_mom_1 & |
|---|
| 1613 | ) * & |
|---|
| 1614 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 1615 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 1616 | + ibit28 * adv_mom_3 & |
|---|
| 1617 | ) * & |
|---|
| 1618 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 1619 | + ( ibit29 * adv_mom_5 & |
|---|
| 1620 | ) * & |
|---|
| 1621 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 1622 | ) |
|---|
| 1623 | |
|---|
| 1624 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1625 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 1626 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 1627 | + ibit27 * adv_mom_1 & |
|---|
| 1628 | ) * & |
|---|
| 1629 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 1630 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 1631 | + ibit28 * adv_mom_3 & |
|---|
| 1632 | ) * & |
|---|
| 1633 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 1634 | + ( ibit29 * adv_mom_5 & |
|---|
| 1635 | ) * & |
|---|
| 1636 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 1637 | ) |
|---|
| 1638 | |
|---|
| 1639 | ENDDO |
|---|
| 1640 | |
|---|
| 1641 | DO k = nzb_max+1, nzt |
|---|
| 1642 | |
|---|
| 1643 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 1644 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 1645 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 1646 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 1647 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1648 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 1649 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 1650 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 1651 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1652 | |
|---|
| 1653 | ENDDO |
|---|
| 1654 | |
|---|
| 1655 | ENDIF |
|---|
| 1656 | ! |
|---|
| 1657 | !-- The lower flux has to be calculated explicetely for the tendency at |
|---|
| 1658 | !-- the first w-level. For topography wall this is done implicitely by |
|---|
| 1659 | !-- wall_flags_0. |
|---|
| 1660 | k = nzb + 1 |
|---|
| 1661 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 1662 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 1663 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 1664 | flux_d = flux_t(0) |
|---|
| 1665 | diss_d = diss_t(0) |
|---|
| 1666 | ! |
|---|
| 1667 | !-- Now compute the fluxes and tendency terms for the horizontal |
|---|
| 1668 | !-- and vertical parts. |
|---|
| 1669 | DO k = nzb+1, nzb_max |
|---|
| 1670 | |
|---|
| 1671 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 1672 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 1673 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 1674 | |
|---|
| 1675 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 1676 | flux_r(k) = u_comp * ( & |
|---|
| 1677 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 1678 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 1679 | + ibit27 * adv_mom_1 & |
|---|
| 1680 | ) * & |
|---|
| 1681 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 1682 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 1683 | + ibit28 * adv_mom_3 & |
|---|
| 1684 | ) * & |
|---|
| 1685 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 1686 | + ( ibit29 * adv_mom_5 & |
|---|
| 1687 | ) * & |
|---|
| 1688 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 1689 | ) |
|---|
| 1690 | |
|---|
| 1691 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1692 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 1693 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 1694 | + ibit27 * adv_mom_1 & |
|---|
| 1695 | ) * & |
|---|
| 1696 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 1697 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 1698 | + ibit28 * adv_mom_3 & |
|---|
| 1699 | ) * & |
|---|
| 1700 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 1701 | + ( ibit29 * adv_mom_5 & |
|---|
| 1702 | ) * & |
|---|
| 1703 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 1704 | ) |
|---|
| 1705 | |
|---|
| 1706 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 1707 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 1708 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 1709 | |
|---|
| 1710 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 1711 | flux_n(k) = v_comp * ( & |
|---|
| 1712 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 1713 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 1714 | + ibit30 * adv_mom_1 & |
|---|
| 1715 | ) * & |
|---|
| 1716 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 1717 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 1718 | + ibit31 * adv_mom_3 & |
|---|
| 1719 | ) * & |
|---|
| 1720 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 1721 | + ( ibit32 * adv_mom_5 & |
|---|
| 1722 | ) * & |
|---|
| 1723 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 1724 | ) |
|---|
| 1725 | |
|---|
| 1726 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1727 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 1728 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 1729 | + ibit30 * adv_mom_1 & |
|---|
| 1730 | ) * & |
|---|
| 1731 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 1732 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 1733 | + ibit31 * adv_mom_3 & |
|---|
| 1734 | ) * & |
|---|
| 1735 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 1736 | + ( ibit32 * adv_mom_5 & |
|---|
| 1737 | ) * & |
|---|
| 1738 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 1739 | ) |
|---|
| 1740 | ! |
|---|
| 1741 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1742 | !-- subscripts will be exceeded. |
|---|
| 1743 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 1744 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 1745 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 1746 | |
|---|
| 1747 | k_ppp = k + 3 * ibit35 |
|---|
| 1748 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 1749 | k_mm = k - 2 * ibit35 |
|---|
| 1750 | |
|---|
| 1751 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 1752 | flux_t(k) = w_comp * ( & |
|---|
| 1753 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 1754 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 1755 | + ibit33 * adv_mom_1 & |
|---|
| 1756 | ) * & |
|---|
| 1757 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 1758 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 1759 | + ibit34 * adv_mom_3 & |
|---|
| 1760 | ) * & |
|---|
| 1761 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 1762 | + ( ibit35 * adv_mom_5 & |
|---|
| 1763 | ) * & |
|---|
| 1764 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 1765 | ) |
|---|
| 1766 | |
|---|
| 1767 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1768 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 1769 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 1770 | + ibit33 * adv_mom_1 & |
|---|
| 1771 | ) * & |
|---|
| 1772 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 1773 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 1774 | + ibit34 * adv_mom_3 & |
|---|
| 1775 | ) * & |
|---|
| 1776 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 1777 | + ( ibit35 * adv_mom_5 & |
|---|
| 1778 | ) * & |
|---|
| 1779 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 1780 | ) |
|---|
| 1781 | |
|---|
| 1782 | ! |
|---|
| 1783 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1784 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1785 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1786 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1787 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 1788 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
|---|
| 1789 | ) * 0.5 |
|---|
| 1790 | |
|---|
| 1791 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1792 | ( flux_r(k) + diss_r(k) & |
|---|
| 1793 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 1794 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1795 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 1796 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1797 | - flux_d - diss_d ) * ddzu(k+1) & |
|---|
| 1798 | ) + div * w(k,j,i) |
|---|
| 1799 | |
|---|
| 1800 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 1801 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 1802 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 1803 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 1804 | flux_d = flux_t(k) |
|---|
| 1805 | diss_d = diss_t(k) |
|---|
| 1806 | ! |
|---|
| 1807 | !-- Statistical Evaluation of w'w'. |
|---|
| 1808 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 1809 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1810 | * weight_substep(intermediate_timestep_count) |
|---|
| 1811 | |
|---|
| 1812 | ENDDO |
|---|
| 1813 | |
|---|
| 1814 | DO k = nzb_max+1, nzt |
|---|
| 1815 | |
|---|
| 1816 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 1817 | flux_r(k) = u_comp * ( & |
|---|
| 1818 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 1819 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 1820 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1821 | |
|---|
| 1822 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 1823 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 1824 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 1825 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 1826 | |
|---|
| 1827 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 1828 | flux_n(k) = v_comp * ( & |
|---|
| 1829 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 1830 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 1831 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1832 | |
|---|
| 1833 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 1834 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 1835 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 1836 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 1837 | ! |
|---|
| 1838 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1839 | !-- subscripts will be exceeded. |
|---|
| 1840 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 1841 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 1842 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 1843 | |
|---|
| 1844 | k_ppp = k + 3 * ibit35 |
|---|
| 1845 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 1846 | k_mm = k - 2 * ibit35 |
|---|
| 1847 | |
|---|
| 1848 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 1849 | flux_t(k) = w_comp * ( & |
|---|
| 1850 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 1851 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 1852 | + ibit33 * adv_mom_1 & |
|---|
| 1853 | ) * & |
|---|
| 1854 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 1855 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 1856 | + ibit34 * adv_mom_3 & |
|---|
| 1857 | ) * & |
|---|
| 1858 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 1859 | + ( ibit35 * adv_mom_5 & |
|---|
| 1860 | ) * & |
|---|
| 1861 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 1862 | ) |
|---|
| 1863 | |
|---|
| 1864 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 1865 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 1866 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 1867 | + ibit33 * adv_mom_1 & |
|---|
| 1868 | ) * & |
|---|
| 1869 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 1870 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 1871 | + ibit34 * adv_mom_3 & |
|---|
| 1872 | ) * & |
|---|
| 1873 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 1874 | + ( ibit35 * adv_mom_5 & |
|---|
| 1875 | ) * & |
|---|
| 1876 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 1877 | ) |
|---|
| 1878 | ! |
|---|
| 1879 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1880 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1881 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1882 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 1883 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 1884 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
|---|
| 1885 | ) * 0.5 |
|---|
| 1886 | |
|---|
| 1887 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1888 | ( flux_r(k) + diss_r(k) & |
|---|
| 1889 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 1890 | + ( flux_n(k) + diss_n(k) & |
|---|
| 1891 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 1892 | + ( flux_t(k) + diss_t(k) & |
|---|
| 1893 | - flux_d - diss_d ) * ddzu(k+1) & |
|---|
| 1894 | ) + div * w(k,j,i) |
|---|
| 1895 | |
|---|
| 1896 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 1897 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 1898 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 1899 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 1900 | flux_d = flux_t(k) |
|---|
| 1901 | diss_d = diss_t(k) |
|---|
| 1902 | ! |
|---|
| 1903 | !-- Statistical Evaluation of w'w'. |
|---|
| 1904 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 1905 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 1906 | * weight_substep(intermediate_timestep_count) |
|---|
| 1907 | |
|---|
| 1908 | ENDDO |
|---|
| 1909 | |
|---|
| 1910 | |
|---|
| 1911 | END SUBROUTINE advec_w_ws_ij |
|---|
| 1912 | |
|---|
| 1913 | |
|---|
| 1914 | !------------------------------------------------------------------------------! |
|---|
| 1915 | ! Scalar advection - Call for all grid points |
|---|
| 1916 | !------------------------------------------------------------------------------! |
|---|
| 1917 | SUBROUTINE advec_s_ws( sk, sk_char ) |
|---|
| 1918 | |
|---|
| 1919 | USE arrays_3d |
|---|
| 1920 | USE constants |
|---|
| 1921 | USE control_parameters |
|---|
| 1922 | USE grid_variables |
|---|
| 1923 | USE indices |
|---|
| 1924 | USE statistics |
|---|
| 1925 | |
|---|
| 1926 | IMPLICIT NONE |
|---|
| 1927 | |
|---|
| 1928 | INTEGER :: i, ibit0, ibit1, ibit2, ibit3, ibit4, ibit5, ibit6, & |
|---|
| 1929 | ibit7, ibit8, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 1930 | REAL, DIMENSION(:,:,:), POINTER :: sk |
|---|
| 1931 | REAL :: diss_d, div, flux_d, u_comp, v_comp |
|---|
| 1932 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 1933 | flux_t |
|---|
| 1934 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local, swap_flux_y_local |
|---|
| 1935 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local, & |
|---|
| 1936 | swap_flux_x_local |
|---|
| 1937 | CHARACTER (LEN = *), INTENT(IN) :: sk_char |
|---|
| 1938 | |
|---|
| 1939 | ! |
|---|
| 1940 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 1941 | i = nxl |
|---|
| 1942 | DO j = nys, nyn |
|---|
| 1943 | |
|---|
| 1944 | DO k = nzb+1, nzb_max |
|---|
| 1945 | |
|---|
| 1946 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 1947 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 1948 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 1949 | |
|---|
| 1950 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1951 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 1952 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 1953 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 1954 | + ibit0 * adv_sca_1 & |
|---|
| 1955 | ) * & |
|---|
| 1956 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1957 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 1958 | + ibit1 * adv_sca_3 & |
|---|
| 1959 | ) * & |
|---|
| 1960 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1961 | + ( ibit2 * adv_sca_5 & |
|---|
| 1962 | ) * & |
|---|
| 1963 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1964 | ) |
|---|
| 1965 | |
|---|
| 1966 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 1967 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 1968 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 1969 | + ibit0 * adv_sca_1 & |
|---|
| 1970 | ) * & |
|---|
| 1971 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1972 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 1973 | + ibit1 * adv_sca_3 & |
|---|
| 1974 | ) * & |
|---|
| 1975 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1976 | + ( ibit2 * adv_sca_5 & |
|---|
| 1977 | ) * & |
|---|
| 1978 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1979 | ) |
|---|
| 1980 | |
|---|
| 1981 | ENDDO |
|---|
| 1982 | |
|---|
| 1983 | DO k = nzb_max+1, nzt |
|---|
| 1984 | |
|---|
| 1985 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1986 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 1987 | 37.0 * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1988 | - 8.0 * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1989 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1990 | ) * adv_sca_5 |
|---|
| 1991 | |
|---|
| 1992 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 1993 | 10.0 * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1994 | - 5.0 * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1995 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1996 | ) * adv_sca_5 |
|---|
| 1997 | |
|---|
| 1998 | ENDDO |
|---|
| 1999 | |
|---|
| 2000 | ENDDO |
|---|
| 2001 | |
|---|
| 2002 | DO i = nxl, nxr |
|---|
| 2003 | |
|---|
| 2004 | j = nys |
|---|
| 2005 | DO k = nzb+1, nzb_max |
|---|
| 2006 | |
|---|
| 2007 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 2008 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 2009 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 2010 | |
|---|
| 2011 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 2012 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 2013 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 2014 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 2015 | + ibit3 * adv_sca_1 & |
|---|
| 2016 | ) * & |
|---|
| 2017 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 2018 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 2019 | + ibit4 * adv_sca_3 & |
|---|
| 2020 | ) * & |
|---|
| 2021 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 2022 | + ( ibit5 * adv_sca_5 & |
|---|
| 2023 | ) * & |
|---|
| 2024 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 2025 | ) |
|---|
| 2026 | |
|---|
| 2027 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 2028 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 2029 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 2030 | + ibit3 * adv_sca_1 & |
|---|
| 2031 | ) * & |
|---|
| 2032 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 2033 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 2034 | + ibit4 * adv_sca_3 & |
|---|
| 2035 | ) * & |
|---|
| 2036 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 2037 | + ( ibit5 * adv_sca_5 & |
|---|
| 2038 | ) * & |
|---|
| 2039 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 2040 | ) |
|---|
| 2041 | |
|---|
| 2042 | ENDDO |
|---|
| 2043 | ! |
|---|
| 2044 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 2045 | DO k = nzb_max+1, nzt |
|---|
| 2046 | |
|---|
| 2047 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 2048 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 2049 | 37.0 * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 2050 | - 8.0 * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 2051 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 2052 | ) * adv_sca_5 |
|---|
| 2053 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 2054 | 10.0 * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 2055 | - 5.0 * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 2056 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 2057 | ) * adv_sca_5 |
|---|
| 2058 | |
|---|
| 2059 | ENDDO |
|---|
| 2060 | |
|---|
| 2061 | DO j = nys, nyn |
|---|
| 2062 | |
|---|
| 2063 | flux_t(0) = 0.0 |
|---|
| 2064 | diss_t(0) = 0.0 |
|---|
| 2065 | flux_d = 0.0 |
|---|
| 2066 | diss_d = 0.0 |
|---|
| 2067 | |
|---|
| 2068 | DO k = nzb+1, nzb_max |
|---|
| 2069 | |
|---|
| 2070 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 2071 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 2072 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 2073 | |
|---|
| 2074 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 2075 | flux_r(k) = u_comp * ( & |
|---|
| 2076 | ( 37.0 * ibit2 * adv_sca_5 & |
|---|
| 2077 | + 7.0 * ibit1 * adv_sca_3 & |
|---|
| 2078 | + ibit0 * adv_sca_1 & |
|---|
| 2079 | ) * & |
|---|
| 2080 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 2081 | - ( 8.0 * ibit2 * adv_sca_5 & |
|---|
| 2082 | + ibit1 * adv_sca_3 & |
|---|
| 2083 | ) * & |
|---|
| 2084 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 2085 | + ( ibit2 * adv_sca_5 & |
|---|
| 2086 | ) * & |
|---|
| 2087 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 2088 | ) |
|---|
| 2089 | |
|---|
| 2090 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 2091 | ( 10.0 * ibit2 * adv_sca_5 & |
|---|
| 2092 | + 3.0 * ibit1 * adv_sca_3 & |
|---|
| 2093 | + ibit0 * adv_sca_1 & |
|---|
| 2094 | ) * & |
|---|
| 2095 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 2096 | - ( 5.0 * ibit2 * adv_sca_5 & |
|---|
| 2097 | + ibit1 * adv_sca_3 & |
|---|
| 2098 | ) * & |
|---|
| 2099 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 2100 | + ( ibit2 * adv_sca_5 & |
|---|
| 2101 | ) * & |
|---|
| 2102 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 2103 | ) |
|---|
| 2104 | |
|---|
| 2105 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 2106 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 2107 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 2108 | |
|---|
| 2109 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 2110 | flux_n(k) = v_comp * ( & |
|---|
| 2111 | ( 37.0 * ibit5 * adv_sca_5 & |
|---|
| 2112 | + 7.0 * ibit4 * adv_sca_3 & |
|---|
| 2113 | + ibit3 * adv_sca_1 & |
|---|
| 2114 | ) * & |
|---|
| 2115 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 2116 | - ( 8.0 * ibit5 * adv_sca_5 & |
|---|
| 2117 | + ibit4 * adv_sca_3 & |
|---|
| 2118 | ) * & |
|---|
| 2119 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 2120 | + ( ibit5 * adv_sca_5 & |
|---|
| 2121 | ) * & |
|---|
| 2122 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 2123 | ) |
|---|
| 2124 | |
|---|
| 2125 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 2126 | ( 10.0 * ibit5 * adv_sca_5 & |
|---|
| 2127 | + 3.0 * ibit4 * adv_sca_3 & |
|---|
| 2128 | + ibit3 * adv_sca_1 & |
|---|
| 2129 | ) * & |
|---|
| 2130 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 2131 | - ( 5.0 * ibit5 * adv_sca_5 & |
|---|
| 2132 | + ibit4 * adv_sca_3 & |
|---|
| 2133 | ) * & |
|---|
| 2134 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 2135 | + ( ibit5 * adv_sca_5 & |
|---|
| 2136 | ) * & |
|---|
| 2137 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 2138 | ) |
|---|
| 2139 | ! |
|---|
| 2140 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2141 | !-- subscripts will be exceeded. |
|---|
| 2142 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 2143 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 2144 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 2145 | |
|---|
| 2146 | k_ppp = k + 3 * ibit8 |
|---|
| 2147 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 2148 | k_mm = k - 2 * ibit8 |
|---|
| 2149 | |
|---|
| 2150 | |
|---|
| 2151 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 2152 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 2153 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 2154 | + ibit6 * adv_sca_1 & |
|---|
| 2155 | ) * & |
|---|
| 2156 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 2157 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 2158 | + ibit7 * adv_sca_3 & |
|---|
| 2159 | ) * & |
|---|
| 2160 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 2161 | + ( ibit8 * adv_sca_5 & |
|---|
| 2162 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 2163 | ) |
|---|
| 2164 | |
|---|
| 2165 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 2166 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 2167 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 2168 | + ibit6 * adv_sca_1 & |
|---|
| 2169 | ) * & |
|---|
| 2170 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 2171 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 2172 | + ibit7 * adv_sca_3 & |
|---|
| 2173 | ) * & |
|---|
| 2174 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 2175 | + ( ibit8 * adv_sca_5 & |
|---|
| 2176 | ) * & |
|---|
| 2177 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 2178 | ) |
|---|
| 2179 | ! |
|---|
| 2180 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2181 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2182 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2183 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 2184 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 2185 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 2186 | |
|---|
| 2187 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2188 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 2189 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 2190 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 2191 | swap_diss_y_local(k) ) * ddy & |
|---|
| 2192 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 2193 | ) * ddzw(k) & |
|---|
| 2194 | ) + sk(k,j,i) * div |
|---|
| 2195 | |
|---|
| 2196 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 2197 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 2198 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 2199 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 2200 | flux_d = flux_t(k) |
|---|
| 2201 | diss_d = diss_t(k) |
|---|
| 2202 | |
|---|
| 2203 | ENDDO |
|---|
| 2204 | |
|---|
| 2205 | DO k = nzb_max+1, nzt |
|---|
| 2206 | |
|---|
| 2207 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 2208 | flux_r(k) = u_comp * ( & |
|---|
| 2209 | 37.0 * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 2210 | - 8.0 * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 2211 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 2212 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 2213 | 10.0 * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 2214 | - 5.0 * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 2215 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 2216 | |
|---|
| 2217 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 2218 | flux_n(k) = v_comp * ( & |
|---|
| 2219 | 37.0 * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 2220 | - 8.0 * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 2221 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 2222 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 2223 | 10.0 * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 2224 | - 5.0 * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 2225 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 2226 | ! |
|---|
| 2227 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2228 | !-- subscripts will be exceeded. |
|---|
| 2229 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 2230 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 2231 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 2232 | |
|---|
| 2233 | k_ppp = k + 3 * ibit8 |
|---|
| 2234 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 2235 | k_mm = k - 2 * ibit8 |
|---|
| 2236 | |
|---|
| 2237 | |
|---|
| 2238 | flux_t(k) = w(k,j,i) * ( & |
|---|
| 2239 | ( 37.0 * ibit8 * adv_sca_5 & |
|---|
| 2240 | + 7.0 * ibit7 * adv_sca_3 & |
|---|
| 2241 | + ibit6 * adv_sca_1 & |
|---|
| 2242 | ) * & |
|---|
| 2243 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 2244 | - ( 8.0 * ibit8 * adv_sca_5 & |
|---|
| 2245 | + ibit7 * adv_sca_3 & |
|---|
| 2246 | ) * & |
|---|
| 2247 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 2248 | + ( ibit8 * adv_sca_5 & |
|---|
| 2249 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 2250 | ) |
|---|
| 2251 | |
|---|
| 2252 | diss_t(k) = -ABS( w(k,j,i) ) * ( & |
|---|
| 2253 | ( 10.0 * ibit8 * adv_sca_5 & |
|---|
| 2254 | + 3.0 * ibit7 * adv_sca_3 & |
|---|
| 2255 | + ibit6 * adv_sca_1 & |
|---|
| 2256 | ) * & |
|---|
| 2257 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 2258 | - ( 5.0 * ibit8 * adv_sca_5 & |
|---|
| 2259 | + ibit7 * adv_sca_3 & |
|---|
| 2260 | ) * & |
|---|
| 2261 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 2262 | + ( ibit8 * adv_sca_5 & |
|---|
| 2263 | ) * & |
|---|
| 2264 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 2265 | ) |
|---|
| 2266 | ! |
|---|
| 2267 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2268 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2269 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2270 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 2271 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 2272 | + ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 2273 | |
|---|
| 2274 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2275 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 2276 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 2277 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 2278 | swap_diss_y_local(k) ) * ddy & |
|---|
| 2279 | + ( flux_t(k) + diss_t(k) - flux_d - diss_d & |
|---|
| 2280 | ) * ddzw(k) & |
|---|
| 2281 | ) + sk(k,j,i) * div |
|---|
| 2282 | |
|---|
| 2283 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 2284 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 2285 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 2286 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 2287 | flux_d = flux_t(k) |
|---|
| 2288 | diss_d = diss_t(k) |
|---|
| 2289 | |
|---|
| 2290 | ENDDO |
|---|
| 2291 | ! |
|---|
| 2292 | !-- evaluation of statistics |
|---|
| 2293 | SELECT CASE ( sk_char ) |
|---|
| 2294 | |
|---|
| 2295 | CASE ( 'pt' ) |
|---|
| 2296 | DO k = nzb, nzt |
|---|
| 2297 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
|---|
| 2298 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2299 | * weight_substep(intermediate_timestep_count) |
|---|
| 2300 | ENDDO |
|---|
| 2301 | CASE ( 'sa' ) |
|---|
| 2302 | DO k = nzb, nzt |
|---|
| 2303 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
|---|
| 2304 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2305 | * weight_substep(intermediate_timestep_count) |
|---|
| 2306 | ENDDO |
|---|
| 2307 | CASE ( 'q' ) |
|---|
| 2308 | DO k = nzb, nzt |
|---|
| 2309 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
|---|
| 2310 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2311 | * weight_substep(intermediate_timestep_count) |
|---|
| 2312 | ENDDO |
|---|
| 2313 | |
|---|
| 2314 | END SELECT |
|---|
| 2315 | |
|---|
| 2316 | ENDDO |
|---|
| 2317 | ENDDO |
|---|
| 2318 | |
|---|
| 2319 | END SUBROUTINE advec_s_ws |
|---|
| 2320 | |
|---|
| 2321 | |
|---|
| 2322 | !------------------------------------------------------------------------------! |
|---|
| 2323 | ! Advection of u - Call for all grid points |
|---|
| 2324 | !------------------------------------------------------------------------------! |
|---|
| 2325 | SUBROUTINE advec_u_ws |
|---|
| 2326 | |
|---|
| 2327 | USE arrays_3d |
|---|
| 2328 | USE constants |
|---|
| 2329 | USE control_parameters |
|---|
| 2330 | USE grid_variables |
|---|
| 2331 | USE indices |
|---|
| 2332 | USE statistics |
|---|
| 2333 | |
|---|
| 2334 | IMPLICIT NONE |
|---|
| 2335 | |
|---|
| 2336 | INTEGER :: i, ibit9, ibit10, ibit11, ibit12, ibit13, ibit14, ibit15, & |
|---|
| 2337 | ibit16, ibit17, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 2338 | REAL :: diss_d, div, flux_d, gu, gv, v_comp, w_comp |
|---|
| 2339 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u, swap_flux_y_local_u |
|---|
| 2340 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u, & |
|---|
| 2341 | swap_flux_x_local_u |
|---|
| 2342 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 2343 | flux_t, u_comp |
|---|
| 2344 | |
|---|
| 2345 | gu = 2.0 * u_gtrans |
|---|
| 2346 | gv = 2.0 * v_gtrans |
|---|
| 2347 | |
|---|
| 2348 | ! |
|---|
| 2349 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 2350 | i = nxlu |
|---|
| 2351 | DO j = nys, nyn |
|---|
| 2352 | DO k = nzb+1, nzb_max |
|---|
| 2353 | |
|---|
| 2354 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 2355 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 2356 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 2357 | |
|---|
| 2358 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 2359 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 2360 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 2361 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 2362 | + ibit9 * adv_mom_1 & |
|---|
| 2363 | ) * & |
|---|
| 2364 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2365 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 2366 | + ibit10 * adv_mom_3 & |
|---|
| 2367 | ) * & |
|---|
| 2368 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 2369 | + ( ibit11 * adv_mom_5 & |
|---|
| 2370 | ) * & |
|---|
| 2371 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 2372 | ) |
|---|
| 2373 | |
|---|
| 2374 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
|---|
| 2375 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 2376 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 2377 | + ibit9 * adv_mom_1 & |
|---|
| 2378 | ) * & |
|---|
| 2379 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 2380 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 2381 | + ibit10 * adv_mom_3 & |
|---|
| 2382 | ) * & |
|---|
| 2383 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 2384 | + ( ibit11 * adv_mom_5 & |
|---|
| 2385 | ) * & |
|---|
| 2386 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 2387 | ) |
|---|
| 2388 | |
|---|
| 2389 | ENDDO |
|---|
| 2390 | |
|---|
| 2391 | DO k = nzb_max+1, nzt |
|---|
| 2392 | |
|---|
| 2393 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 2394 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 2395 | 37.0 * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2396 | - 8.0 * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 2397 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2398 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
|---|
| 2399 | 10.0 * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 2400 | - 5.0 * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 2401 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2402 | |
|---|
| 2403 | ENDDO |
|---|
| 2404 | ENDDO |
|---|
| 2405 | |
|---|
| 2406 | DO i = nxlu, nxr |
|---|
| 2407 | ! |
|---|
| 2408 | !-- The following loop computes the fluxes for the south boundary points |
|---|
| 2409 | j = nys |
|---|
| 2410 | DO k = nzb+1, nzb_max |
|---|
| 2411 | |
|---|
| 2412 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 2413 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 2414 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 2415 | |
|---|
| 2416 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 2417 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 2418 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 2419 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 2420 | + ibit12 * adv_mom_1 & |
|---|
| 2421 | ) * & |
|---|
| 2422 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 2423 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 2424 | + ibit13 * adv_mom_3 & |
|---|
| 2425 | ) * & |
|---|
| 2426 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 2427 | + ( ibit14 * adv_mom_5 & |
|---|
| 2428 | ) * & |
|---|
| 2429 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 2430 | ) |
|---|
| 2431 | |
|---|
| 2432 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
|---|
| 2433 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 2434 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 2435 | + ibit12 * adv_mom_1 & |
|---|
| 2436 | ) * & |
|---|
| 2437 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 2438 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 2439 | + ibit13 * adv_mom_3 & |
|---|
| 2440 | ) * & |
|---|
| 2441 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 2442 | + ( ibit14 * adv_mom_5 & |
|---|
| 2443 | ) * & |
|---|
| 2444 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 2445 | ) |
|---|
| 2446 | |
|---|
| 2447 | ENDDO |
|---|
| 2448 | |
|---|
| 2449 | DO k = nzb_max+1, nzt |
|---|
| 2450 | |
|---|
| 2451 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 2452 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 2453 | 37.0 * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 2454 | - 8.0 * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 2455 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2456 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
|---|
| 2457 | 10.0 * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 2458 | - 5.0 * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 2459 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2460 | |
|---|
| 2461 | ENDDO |
|---|
| 2462 | ! |
|---|
| 2463 | !-- Computation of interior fluxes and tendency terms |
|---|
| 2464 | DO j = nys, nyn |
|---|
| 2465 | |
|---|
| 2466 | flux_t(0) = 0.0 |
|---|
| 2467 | diss_t(0) = 0.0 |
|---|
| 2468 | flux_d = 0.0 |
|---|
| 2469 | diss_d = 0.0 |
|---|
| 2470 | |
|---|
| 2471 | DO k = nzb+1, nzb_max |
|---|
| 2472 | |
|---|
| 2473 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 2474 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 2475 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 2476 | |
|---|
| 2477 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2478 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2479 | ( 37.0 * ibit11 * adv_mom_5 & |
|---|
| 2480 | + 7.0 * ibit10 * adv_mom_3 & |
|---|
| 2481 | + ibit9 * adv_mom_1 & |
|---|
| 2482 | ) * & |
|---|
| 2483 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2484 | - ( 8.0 * ibit11 * adv_mom_5 & |
|---|
| 2485 | + ibit10 * adv_mom_3 & |
|---|
| 2486 | ) * & |
|---|
| 2487 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2488 | + ( ibit11 * adv_mom_5 & |
|---|
| 2489 | ) * & |
|---|
| 2490 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 2491 | ) |
|---|
| 2492 | |
|---|
| 2493 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2494 | ( 10.0 * ibit11 * adv_mom_5 & |
|---|
| 2495 | + 3.0 * ibit10 * adv_mom_3 & |
|---|
| 2496 | + ibit9 * adv_mom_1 & |
|---|
| 2497 | ) * & |
|---|
| 2498 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2499 | - ( 5.0 * ibit11 * adv_mom_5 & |
|---|
| 2500 | + ibit10 * adv_mom_3 & |
|---|
| 2501 | ) * & |
|---|
| 2502 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2503 | + ( ibit11 * adv_mom_5 & |
|---|
| 2504 | ) * & |
|---|
| 2505 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 2506 | ) |
|---|
| 2507 | |
|---|
| 2508 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 2509 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 2510 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 2511 | |
|---|
| 2512 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2513 | flux_n(k) = v_comp * ( & |
|---|
| 2514 | ( 37.0 * ibit14 * adv_mom_5 & |
|---|
| 2515 | + 7.0 * ibit13 * adv_mom_3 & |
|---|
| 2516 | + ibit12 * adv_mom_1 & |
|---|
| 2517 | ) * & |
|---|
| 2518 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2519 | - ( 8.0 * ibit14 * adv_mom_5 & |
|---|
| 2520 | + ibit13 * adv_mom_3 & |
|---|
| 2521 | ) * & |
|---|
| 2522 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2523 | + ( ibit14 * adv_mom_5 & |
|---|
| 2524 | ) * & |
|---|
| 2525 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 2526 | ) |
|---|
| 2527 | |
|---|
| 2528 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 2529 | ( 10.0 * ibit14 * adv_mom_5 & |
|---|
| 2530 | + 3.0 * ibit13 * adv_mom_3 & |
|---|
| 2531 | + ibit12 * adv_mom_1 & |
|---|
| 2532 | ) * & |
|---|
| 2533 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2534 | - ( 5.0 * ibit14 * adv_mom_5 & |
|---|
| 2535 | + ibit13 * adv_mom_3 & |
|---|
| 2536 | ) * & |
|---|
| 2537 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2538 | + ( ibit14 * adv_mom_5 & |
|---|
| 2539 | ) * & |
|---|
| 2540 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 2541 | ) |
|---|
| 2542 | ! |
|---|
| 2543 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2544 | !-- subscripts will be exceeded. |
|---|
| 2545 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 2546 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 2547 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 2548 | |
|---|
| 2549 | k_ppp = k + 3 * ibit17 |
|---|
| 2550 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2551 | k_mm = k - 2 * ibit17 |
|---|
| 2552 | |
|---|
| 2553 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2554 | flux_t(k) = w_comp * ( & |
|---|
| 2555 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 2556 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 2557 | + ibit15 * adv_mom_1 & |
|---|
| 2558 | ) * & |
|---|
| 2559 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2560 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 2561 | + ibit16 * adv_mom_3 & |
|---|
| 2562 | ) * & |
|---|
| 2563 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2564 | + ( ibit17 * adv_mom_5 & |
|---|
| 2565 | ) * & |
|---|
| 2566 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2567 | ) |
|---|
| 2568 | |
|---|
| 2569 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2570 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 2571 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 2572 | + ibit15 * adv_mom_1 & |
|---|
| 2573 | ) * & |
|---|
| 2574 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2575 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 2576 | + ibit16 * adv_mom_3 & |
|---|
| 2577 | ) * & |
|---|
| 2578 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2579 | + ( ibit17 * adv_mom_5 & |
|---|
| 2580 | ) * & |
|---|
| 2581 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2582 | ) |
|---|
| 2583 | ! |
|---|
| 2584 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2585 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2586 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2587 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2588 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2589 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) & |
|---|
| 2590 | * ddzw(k) & |
|---|
| 2591 | ) * 0.5 |
|---|
| 2592 | |
|---|
| 2593 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2594 | ( flux_r(k) + diss_r(k) & |
|---|
| 2595 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 2596 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2597 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 2598 | + ( flux_t(k) + diss_t(k) & |
|---|
| 2599 | - flux_d - diss_d & |
|---|
| 2600 | ) * ddzw(k) & |
|---|
| 2601 | ) + div * u(k,j,i) |
|---|
| 2602 | |
|---|
| 2603 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 2604 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 2605 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 2606 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 2607 | flux_d = flux_t(k) |
|---|
| 2608 | diss_d = diss_t(k) |
|---|
| 2609 | ! |
|---|
| 2610 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 2611 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 2612 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2613 | + ( flux_r(k) * & |
|---|
| 2614 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2615 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 2616 | + diss_r(k) * & |
|---|
| 2617 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2618 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 2619 | * weight_substep(intermediate_timestep_count) |
|---|
| 2620 | ! |
|---|
| 2621 | !-- Statistical Evaluation of w'u'. |
|---|
| 2622 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2623 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2624 | * weight_substep(intermediate_timestep_count) |
|---|
| 2625 | ENDDO |
|---|
| 2626 | |
|---|
| 2627 | DO k = nzb_max+1, nzt |
|---|
| 2628 | |
|---|
| 2629 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2630 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2631 | 37.0 * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2632 | - 8.0 * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2633 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2634 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2635 | 10.0 * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2636 | - 5.0 * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2637 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2638 | |
|---|
| 2639 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2640 | flux_n(k) = v_comp * ( & |
|---|
| 2641 | 37.0 * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2642 | - 8.0 * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2643 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2644 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 2645 | 10.0 * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2646 | - 5.0 * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2647 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2648 | ! |
|---|
| 2649 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2650 | !-- subscripts will be exceeded. |
|---|
| 2651 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 2652 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 2653 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 2654 | |
|---|
| 2655 | k_ppp = k + 3 * ibit17 |
|---|
| 2656 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2657 | k_mm = k - 2 * ibit17 |
|---|
| 2658 | |
|---|
| 2659 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2660 | flux_t(k) = w_comp * ( & |
|---|
| 2661 | ( 37.0 * ibit17 * adv_mom_5 & |
|---|
| 2662 | + 7.0 * ibit16 * adv_mom_3 & |
|---|
| 2663 | + ibit15 * adv_mom_1 & |
|---|
| 2664 | ) * & |
|---|
| 2665 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2666 | - ( 8.0 * ibit17 * adv_mom_5 & |
|---|
| 2667 | + ibit16 * adv_mom_3 & |
|---|
| 2668 | ) * & |
|---|
| 2669 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2670 | + ( ibit17 * adv_mom_5 & |
|---|
| 2671 | ) * & |
|---|
| 2672 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2673 | ) |
|---|
| 2674 | |
|---|
| 2675 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2676 | ( 10.0 * ibit17 * adv_mom_5 & |
|---|
| 2677 | + 3.0 * ibit16 * adv_mom_3 & |
|---|
| 2678 | + ibit15 * adv_mom_1 & |
|---|
| 2679 | ) * & |
|---|
| 2680 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2681 | - ( 5.0 * ibit17 * adv_mom_5 & |
|---|
| 2682 | + ibit16 * adv_mom_3 & |
|---|
| 2683 | ) * & |
|---|
| 2684 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2685 | + ( ibit17 * adv_mom_5 & |
|---|
| 2686 | ) * & |
|---|
| 2687 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2688 | ) |
|---|
| 2689 | ! |
|---|
| 2690 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2691 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 2692 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2693 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2694 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2695 | + ( w_comp - ( w(k-1,j,i) + w(k-1,j,i-1) ) ) & |
|---|
| 2696 | * ddzw(k) & |
|---|
| 2697 | ) * 0.5 |
|---|
| 2698 | |
|---|
| 2699 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2700 | ( flux_r(k) + diss_r(k) & |
|---|
| 2701 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 2702 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2703 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 2704 | + ( flux_t(k) + diss_t(k) & |
|---|
| 2705 | - flux_d - diss_d & |
|---|
| 2706 | ) * ddzw(k) & |
|---|
| 2707 | ) + div * u(k,j,i) |
|---|
| 2708 | |
|---|
| 2709 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 2710 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 2711 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 2712 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 2713 | flux_d = flux_t(k) |
|---|
| 2714 | diss_d = diss_t(k) |
|---|
| 2715 | ! |
|---|
| 2716 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 2717 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 2718 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2719 | + ( flux_r(k) * & |
|---|
| 2720 | ( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2721 | / ( u_comp(k) - gu + 1.0E-20 ) & |
|---|
| 2722 | + diss_r(k) * & |
|---|
| 2723 | ABS( u_comp(k) - 2.0 * hom(k,1,1,0) ) & |
|---|
| 2724 | / ( ABS( u_comp(k) - gu ) + 1.0E-20 ) ) & |
|---|
| 2725 | * weight_substep(intermediate_timestep_count) |
|---|
| 2726 | ! |
|---|
| 2727 | !-- Statistical Evaluation of w'u'. |
|---|
| 2728 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2729 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 2730 | * weight_substep(intermediate_timestep_count) |
|---|
| 2731 | ENDDO |
|---|
| 2732 | ENDDO |
|---|
| 2733 | ENDDO |
|---|
| 2734 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 2735 | |
|---|
| 2736 | |
|---|
| 2737 | END SUBROUTINE advec_u_ws |
|---|
| 2738 | |
|---|
| 2739 | |
|---|
| 2740 | !------------------------------------------------------------------------------! |
|---|
| 2741 | ! Advection of v - Call for all grid points |
|---|
| 2742 | !------------------------------------------------------------------------------! |
|---|
| 2743 | SUBROUTINE advec_v_ws |
|---|
| 2744 | |
|---|
| 2745 | USE arrays_3d |
|---|
| 2746 | USE constants |
|---|
| 2747 | USE control_parameters |
|---|
| 2748 | USE grid_variables |
|---|
| 2749 | USE indices |
|---|
| 2750 | USE statistics |
|---|
| 2751 | |
|---|
| 2752 | IMPLICIT NONE |
|---|
| 2753 | |
|---|
| 2754 | |
|---|
| 2755 | INTEGER :: i, ibit18, ibit19, ibit20, ibit21, ibit22, ibit23, ibit24, & |
|---|
| 2756 | ibit25, ibit26, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 2757 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, w_comp |
|---|
| 2758 | REAL, DIMENSION(nzb+1:nzt) :: swap_diss_y_local_v, swap_flux_y_local_v |
|---|
| 2759 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_v, & |
|---|
| 2760 | swap_flux_x_local_v |
|---|
| 2761 | REAL, DIMENSION(nzb:nzt) :: diss_n, diss_r, diss_t, flux_n, flux_r, & |
|---|
| 2762 | flux_t, v_comp |
|---|
| 2763 | |
|---|
| 2764 | gu = 2.0 * u_gtrans |
|---|
| 2765 | gv = 2.0 * v_gtrans |
|---|
| 2766 | ! |
|---|
| 2767 | !-- First compute the whole left boundary of the processor domain |
|---|
| 2768 | i = nxl |
|---|
| 2769 | DO j = nysv, nyn |
|---|
| 2770 | DO k = nzb+1, nzb_max |
|---|
| 2771 | |
|---|
| 2772 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 2773 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 2774 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 2775 | |
|---|
| 2776 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2777 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 2778 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 2779 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 2780 | + ibit18 * adv_mom_1 & |
|---|
| 2781 | ) * & |
|---|
| 2782 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2783 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 2784 | + ibit19 * adv_mom_3 & |
|---|
| 2785 | ) * & |
|---|
| 2786 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2787 | + ( ibit20 * adv_mom_5 & |
|---|
| 2788 | ) * & |
|---|
| 2789 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 2790 | ) |
|---|
| 2791 | |
|---|
| 2792 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 2793 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 2794 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 2795 | + ibit18 * adv_mom_1 & |
|---|
| 2796 | ) * & |
|---|
| 2797 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2798 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 2799 | + ibit19 * adv_mom_3 & |
|---|
| 2800 | ) * & |
|---|
| 2801 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2802 | + ( ibit20 * adv_mom_5 & |
|---|
| 2803 | ) * & |
|---|
| 2804 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 2805 | ) |
|---|
| 2806 | |
|---|
| 2807 | ENDDO |
|---|
| 2808 | |
|---|
| 2809 | DO k = nzb_max+1, nzt |
|---|
| 2810 | |
|---|
| 2811 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2812 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 2813 | 37.0 * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2814 | - 8.0 * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2815 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2816 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 2817 | 10.0 * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2818 | - 5.0 * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2819 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2820 | |
|---|
| 2821 | ENDDO |
|---|
| 2822 | |
|---|
| 2823 | ENDDO |
|---|
| 2824 | |
|---|
| 2825 | DO i = nxl, nxr |
|---|
| 2826 | |
|---|
| 2827 | j = nysv |
|---|
| 2828 | DO k = nzb+1, nzb_max |
|---|
| 2829 | |
|---|
| 2830 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 2831 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 2832 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 2833 | |
|---|
| 2834 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2835 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 2836 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 2837 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 2838 | + ibit21 * adv_mom_1 & |
|---|
| 2839 | ) * & |
|---|
| 2840 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2841 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 2842 | + ibit22 * adv_mom_3 & |
|---|
| 2843 | ) * & |
|---|
| 2844 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2845 | + ( ibit23 * adv_mom_5 & |
|---|
| 2846 | ) * & |
|---|
| 2847 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 2848 | ) |
|---|
| 2849 | |
|---|
| 2850 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2851 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 2852 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 2853 | + ibit21 * adv_mom_1 & |
|---|
| 2854 | ) * & |
|---|
| 2855 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2856 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 2857 | + ibit22 * adv_mom_3 & |
|---|
| 2858 | ) * & |
|---|
| 2859 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2860 | + ( ibit23 * adv_mom_5 & |
|---|
| 2861 | ) * & |
|---|
| 2862 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 2863 | ) |
|---|
| 2864 | |
|---|
| 2865 | ENDDO |
|---|
| 2866 | |
|---|
| 2867 | DO k = nzb_max+1, nzt |
|---|
| 2868 | |
|---|
| 2869 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2870 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 2871 | 37.0 * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2872 | - 8.0 * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2873 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2874 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2875 | 10.0 * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2876 | - 5.0 * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2877 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2878 | |
|---|
| 2879 | ENDDO |
|---|
| 2880 | |
|---|
| 2881 | DO j = nysv, nyn |
|---|
| 2882 | |
|---|
| 2883 | flux_t(0) = 0.0 |
|---|
| 2884 | diss_t(0) = 0.0 |
|---|
| 2885 | flux_d = 0.0 |
|---|
| 2886 | diss_d = 0.0 |
|---|
| 2887 | |
|---|
| 2888 | DO k = nzb+1, nzb_max |
|---|
| 2889 | |
|---|
| 2890 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 2891 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 2892 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 2893 | |
|---|
| 2894 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2895 | flux_r(k) = u_comp * ( & |
|---|
| 2896 | ( 37.0 * ibit20 * adv_mom_5 & |
|---|
| 2897 | + 7.0 * ibit19 * adv_mom_3 & |
|---|
| 2898 | + ibit18 * adv_mom_1 & |
|---|
| 2899 | ) * & |
|---|
| 2900 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2901 | - ( 8.0 * ibit20 * adv_mom_5 & |
|---|
| 2902 | + ibit19 * adv_mom_3 & |
|---|
| 2903 | ) * & |
|---|
| 2904 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2905 | + ( ibit20 * adv_mom_5 & |
|---|
| 2906 | ) * & |
|---|
| 2907 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 2908 | ) |
|---|
| 2909 | |
|---|
| 2910 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 2911 | ( 10.0 * ibit20 * adv_mom_5 & |
|---|
| 2912 | + 3.0 * ibit19 * adv_mom_3 & |
|---|
| 2913 | + ibit18 * adv_mom_1 & |
|---|
| 2914 | ) * & |
|---|
| 2915 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2916 | - ( 5.0 * ibit20 * adv_mom_5 & |
|---|
| 2917 | + ibit19 * adv_mom_3 & |
|---|
| 2918 | ) * & |
|---|
| 2919 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2920 | + ( ibit20 * adv_mom_5 & |
|---|
| 2921 | ) * & |
|---|
| 2922 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 2923 | ) |
|---|
| 2924 | |
|---|
| 2925 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 2926 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 2927 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 2928 | |
|---|
| 2929 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2930 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2931 | ( 37.0 * ibit23 * adv_mom_5 & |
|---|
| 2932 | + 7.0 * ibit22 * adv_mom_3 & |
|---|
| 2933 | + ibit21 * adv_mom_1 & |
|---|
| 2934 | ) * & |
|---|
| 2935 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2936 | - ( 8.0 * ibit23 * adv_mom_5 & |
|---|
| 2937 | + ibit22 * adv_mom_3 & |
|---|
| 2938 | ) * & |
|---|
| 2939 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2940 | + ( ibit23 * adv_mom_5 & |
|---|
| 2941 | ) * & |
|---|
| 2942 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 2943 | ) |
|---|
| 2944 | |
|---|
| 2945 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2946 | ( 10.0 * ibit23 * adv_mom_5 & |
|---|
| 2947 | + 3.0 * ibit22 * adv_mom_3 & |
|---|
| 2948 | + ibit21 * adv_mom_1 & |
|---|
| 2949 | ) * & |
|---|
| 2950 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2951 | - ( 5.0 * ibit23 * adv_mom_5 & |
|---|
| 2952 | + ibit22 * adv_mom_3 & |
|---|
| 2953 | ) * & |
|---|
| 2954 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2955 | + ( ibit23 * adv_mom_5 & |
|---|
| 2956 | ) * & |
|---|
| 2957 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 2958 | ) |
|---|
| 2959 | ! |
|---|
| 2960 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2961 | !-- subscripts will be exceeded. |
|---|
| 2962 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 2963 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 2964 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 2965 | |
|---|
| 2966 | k_ppp = k + 3 * ibit26 |
|---|
| 2967 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2968 | k_mm = k - 2 * ibit26 |
|---|
| 2969 | |
|---|
| 2970 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 2971 | flux_t(k) = w_comp * ( & |
|---|
| 2972 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 2973 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 2974 | + ibit24 * adv_mom_1 & |
|---|
| 2975 | ) * & |
|---|
| 2976 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2977 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 2978 | + ibit25 * adv_mom_3 & |
|---|
| 2979 | ) * & |
|---|
| 2980 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2981 | + ( ibit26 * adv_mom_5 & |
|---|
| 2982 | ) * & |
|---|
| 2983 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2984 | ) |
|---|
| 2985 | |
|---|
| 2986 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 2987 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 2988 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 2989 | + ibit24 * adv_mom_1 & |
|---|
| 2990 | ) * & |
|---|
| 2991 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2992 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 2993 | + ibit25 * adv_mom_3 & |
|---|
| 2994 | ) * & |
|---|
| 2995 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2996 | + ( ibit26 * adv_mom_5 & |
|---|
| 2997 | ) * & |
|---|
| 2998 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 2999 | ) |
|---|
| 3000 | ! |
|---|
| 3001 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3002 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3003 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3004 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3005 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 3006 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) & |
|---|
| 3007 | ) * ddzw(k) & |
|---|
| 3008 | ) * 0.5 |
|---|
| 3009 | |
|---|
| 3010 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3011 | ( flux_r(k) + diss_r(k) & |
|---|
| 3012 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 3013 | ) * ddx & |
|---|
| 3014 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3015 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 3016 | ) * ddy & |
|---|
| 3017 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3018 | - flux_d - diss_d & |
|---|
| 3019 | ) * ddzw(k) & |
|---|
| 3020 | ) + v(k,j,i) * div |
|---|
| 3021 | |
|---|
| 3022 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 3023 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 3024 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 3025 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 3026 | flux_d = flux_t(k) |
|---|
| 3027 | diss_d = diss_t(k) |
|---|
| 3028 | |
|---|
| 3029 | ! |
|---|
| 3030 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 3031 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 3032 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 3033 | + ( flux_n(k) & |
|---|
| 3034 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3035 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 3036 | + diss_n(k) & |
|---|
| 3037 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3038 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 3039 | * weight_substep(intermediate_timestep_count) |
|---|
| 3040 | ! |
|---|
| 3041 | !-- Statistical Evaluation of w'v'. |
|---|
| 3042 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 3043 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3044 | * weight_substep(intermediate_timestep_count) |
|---|
| 3045 | |
|---|
| 3046 | ENDDO |
|---|
| 3047 | |
|---|
| 3048 | DO k = nzb_max+1, nzt |
|---|
| 3049 | |
|---|
| 3050 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 3051 | flux_r(k) = u_comp * ( & |
|---|
| 3052 | 37.0 * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 3053 | - 8.0 * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 3054 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3055 | |
|---|
| 3056 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3057 | 10.0 * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 3058 | - 5.0 * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 3059 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3060 | |
|---|
| 3061 | |
|---|
| 3062 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 3063 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 3064 | 37.0 * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 3065 | - 8.0 * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 3066 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3067 | |
|---|
| 3068 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 3069 | 10.0 * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 3070 | - 5.0 * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 3071 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3072 | ! |
|---|
| 3073 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3074 | !-- subscripts will be exceeded. |
|---|
| 3075 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 3076 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 3077 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 3078 | |
|---|
| 3079 | k_ppp = k + 3 * ibit26 |
|---|
| 3080 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 3081 | k_mm = k - 2 * ibit26 |
|---|
| 3082 | |
|---|
| 3083 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 3084 | flux_t(k) = w_comp * ( & |
|---|
| 3085 | ( 37.0 * ibit26 * adv_mom_5 & |
|---|
| 3086 | + 7.0 * ibit25 * adv_mom_3 & |
|---|
| 3087 | + ibit24 * adv_mom_1 & |
|---|
| 3088 | ) * & |
|---|
| 3089 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 3090 | - ( 8.0 * ibit26 * adv_mom_5 & |
|---|
| 3091 | + ibit25 * adv_mom_3 & |
|---|
| 3092 | ) * & |
|---|
| 3093 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 3094 | + ( ibit26 * adv_mom_5 & |
|---|
| 3095 | ) * & |
|---|
| 3096 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 3097 | ) |
|---|
| 3098 | |
|---|
| 3099 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3100 | ( 10.0 * ibit26 * adv_mom_5 & |
|---|
| 3101 | + 3.0 * ibit25 * adv_mom_3 & |
|---|
| 3102 | + ibit24 * adv_mom_1 & |
|---|
| 3103 | ) * & |
|---|
| 3104 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 3105 | - ( 5.0 * ibit26 * adv_mom_5 & |
|---|
| 3106 | + ibit25 * adv_mom_3 & |
|---|
| 3107 | ) * & |
|---|
| 3108 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 3109 | + ( ibit26 * adv_mom_5 & |
|---|
| 3110 | ) * & |
|---|
| 3111 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 3112 | ) |
|---|
| 3113 | ! |
|---|
| 3114 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3115 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3116 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3117 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3118 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 3119 | + ( w_comp - ( w(k-1,j-1,i) + w(k-1,j,i) ) ) & |
|---|
| 3120 | * ddzw(k) & |
|---|
| 3121 | ) * 0.5 |
|---|
| 3122 | |
|---|
| 3123 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3124 | ( flux_r(k) + diss_r(k) & |
|---|
| 3125 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 3126 | ) * ddx & |
|---|
| 3127 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3128 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 3129 | ) * ddy & |
|---|
| 3130 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3131 | - flux_d - diss_d & |
|---|
| 3132 | ) * ddzw(k) & |
|---|
| 3133 | ) + v(k,j,i) * div |
|---|
| 3134 | |
|---|
| 3135 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 3136 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 3137 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 3138 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 3139 | flux_d = flux_t(k) |
|---|
| 3140 | diss_d = diss_t(k) |
|---|
| 3141 | |
|---|
| 3142 | ! |
|---|
| 3143 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 3144 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 3145 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 3146 | + ( flux_n(k) & |
|---|
| 3147 | * ( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3148 | / ( v_comp(k) - gv + 1.0E-20 ) & |
|---|
| 3149 | + diss_n(k) & |
|---|
| 3150 | * ABS( v_comp(k) - 2.0 * hom(k,1,2,0) ) & |
|---|
| 3151 | / ( ABS( v_comp(k) - gv ) +1.0E-20 ) ) & |
|---|
| 3152 | * weight_substep(intermediate_timestep_count) |
|---|
| 3153 | ! |
|---|
| 3154 | !-- Statistical Evaluation of w'v'. |
|---|
| 3155 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 3156 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3157 | * weight_substep(intermediate_timestep_count) |
|---|
| 3158 | |
|---|
| 3159 | ENDDO |
|---|
| 3160 | ENDDO |
|---|
| 3161 | ENDDO |
|---|
| 3162 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 3163 | |
|---|
| 3164 | |
|---|
| 3165 | END SUBROUTINE advec_v_ws |
|---|
| 3166 | |
|---|
| 3167 | |
|---|
| 3168 | !------------------------------------------------------------------------------! |
|---|
| 3169 | ! Advection of w - Call for all grid points |
|---|
| 3170 | !------------------------------------------------------------------------------! |
|---|
| 3171 | SUBROUTINE advec_w_ws |
|---|
| 3172 | |
|---|
| 3173 | USE arrays_3d |
|---|
| 3174 | USE constants |
|---|
| 3175 | USE control_parameters |
|---|
| 3176 | USE grid_variables |
|---|
| 3177 | USE indices |
|---|
| 3178 | USE statistics |
|---|
| 3179 | |
|---|
| 3180 | IMPLICIT NONE |
|---|
| 3181 | |
|---|
| 3182 | INTEGER :: i, ibit27, ibit28, ibit29, ibit30, ibit31, ibit32, ibit33, & |
|---|
| 3183 | ibit34, ibit35, j, k, k_mm, k_pp, k_ppp, tn = 0 |
|---|
| 3184 | REAL :: diss_d, div, flux_d, gu, gv, u_comp, v_comp, w_comp |
|---|
| 3185 | REAL, DIMENSION(nzb:nzt) :: diss_t, flux_t |
|---|
| 3186 | REAL, DIMENSION(nzb+1:nzt) :: diss_n, diss_r, flux_n, flux_r, & |
|---|
| 3187 | swap_diss_y_local_w, & |
|---|
| 3188 | swap_flux_y_local_w |
|---|
| 3189 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_w, & |
|---|
| 3190 | swap_flux_x_local_w |
|---|
| 3191 | |
|---|
| 3192 | gu = 2.0 * u_gtrans |
|---|
| 3193 | gv = 2.0 * v_gtrans |
|---|
| 3194 | ! |
|---|
| 3195 | !-- compute the whole left boundary of the processor domain |
|---|
| 3196 | i = nxl |
|---|
| 3197 | DO j = nys, nyn |
|---|
| 3198 | DO k = nzb+1, nzb_max |
|---|
| 3199 | |
|---|
| 3200 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 3201 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 3202 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 3203 | |
|---|
| 3204 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 3205 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 3206 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 3207 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 3208 | + ibit27 * adv_mom_1 & |
|---|
| 3209 | ) * & |
|---|
| 3210 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 3211 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 3212 | + ibit28 * adv_mom_3 & |
|---|
| 3213 | ) * & |
|---|
| 3214 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 3215 | + ( ibit29 * adv_mom_5 & |
|---|
| 3216 | ) * & |
|---|
| 3217 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 3218 | ) |
|---|
| 3219 | |
|---|
| 3220 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 3221 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 3222 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 3223 | + ibit27 * adv_mom_1 & |
|---|
| 3224 | ) * & |
|---|
| 3225 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 3226 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 3227 | + ibit28 * adv_mom_3 & |
|---|
| 3228 | ) * & |
|---|
| 3229 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 3230 | + ( ibit29 * adv_mom_5 & |
|---|
| 3231 | ) * & |
|---|
| 3232 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 3233 | ) |
|---|
| 3234 | |
|---|
| 3235 | ENDDO |
|---|
| 3236 | |
|---|
| 3237 | DO k = nzb_max+1, nzt |
|---|
| 3238 | |
|---|
| 3239 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 3240 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 3241 | 37.0 * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 3242 | - 8.0 * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 3243 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3244 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 3245 | 10.0 * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 3246 | - 5.0 * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 3247 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3248 | |
|---|
| 3249 | ENDDO |
|---|
| 3250 | |
|---|
| 3251 | ENDDO |
|---|
| 3252 | |
|---|
| 3253 | DO i = nxl, nxr |
|---|
| 3254 | |
|---|
| 3255 | j = nys |
|---|
| 3256 | DO k = nzb+1, nzb_max |
|---|
| 3257 | |
|---|
| 3258 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 3259 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 3260 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 3261 | |
|---|
| 3262 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 3263 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 3264 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 3265 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 3266 | + ibit30 * adv_mom_1 & |
|---|
| 3267 | ) * & |
|---|
| 3268 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 3269 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 3270 | + ibit31 * adv_mom_3 & |
|---|
| 3271 | ) * & |
|---|
| 3272 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 3273 | + ( ibit32 * adv_mom_5 & |
|---|
| 3274 | ) * & |
|---|
| 3275 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 3276 | ) |
|---|
| 3277 | |
|---|
| 3278 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 3279 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 3280 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 3281 | + ibit30 * adv_mom_1 & |
|---|
| 3282 | ) * & |
|---|
| 3283 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 3284 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 3285 | + ibit31 * adv_mom_3 & |
|---|
| 3286 | ) * & |
|---|
| 3287 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 3288 | + ( ibit32 * adv_mom_5 & |
|---|
| 3289 | ) * & |
|---|
| 3290 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 3291 | ) |
|---|
| 3292 | |
|---|
| 3293 | ENDDO |
|---|
| 3294 | |
|---|
| 3295 | DO k = nzb_max+1, nzt |
|---|
| 3296 | |
|---|
| 3297 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 3298 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 3299 | 37.0 * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 3300 | - 8.0 * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 3301 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3302 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 3303 | 10.0 * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 3304 | - 5.0 * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 3305 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3306 | |
|---|
| 3307 | ENDDO |
|---|
| 3308 | |
|---|
| 3309 | DO j = nys, nyn |
|---|
| 3310 | |
|---|
| 3311 | ! |
|---|
| 3312 | !-- The lower flux has to be calculated explicetely for the tendency |
|---|
| 3313 | !-- at the first w-level. For topography wall this is done implicitely |
|---|
| 3314 | !-- by wall_flags_0. |
|---|
| 3315 | k = nzb + 1 |
|---|
| 3316 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 3317 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 3318 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 3319 | flux_d = flux_t(0) |
|---|
| 3320 | diss_d = diss_t(0) |
|---|
| 3321 | |
|---|
| 3322 | DO k = nzb+1, nzb_max |
|---|
| 3323 | |
|---|
| 3324 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 3325 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 3326 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 3327 | |
|---|
| 3328 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3329 | flux_r(k) = u_comp * ( & |
|---|
| 3330 | ( 37.0 * ibit29 * adv_mom_5 & |
|---|
| 3331 | + 7.0 * ibit28 * adv_mom_3 & |
|---|
| 3332 | + ibit27 * adv_mom_1 & |
|---|
| 3333 | ) * & |
|---|
| 3334 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3335 | - ( 8.0 * ibit29 * adv_mom_5 & |
|---|
| 3336 | + ibit28 * adv_mom_3 & |
|---|
| 3337 | ) * & |
|---|
| 3338 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3339 | + ( ibit29 * adv_mom_5 & |
|---|
| 3340 | ) * & |
|---|
| 3341 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 3342 | ) |
|---|
| 3343 | |
|---|
| 3344 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3345 | ( 10.0 * ibit29 * adv_mom_5 & |
|---|
| 3346 | + 3.0 * ibit28 * adv_mom_3 & |
|---|
| 3347 | + ibit27 * adv_mom_1 & |
|---|
| 3348 | ) * & |
|---|
| 3349 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3350 | - ( 5.0 * ibit29 * adv_mom_5 & |
|---|
| 3351 | + ibit28 * adv_mom_3 & |
|---|
| 3352 | ) * & |
|---|
| 3353 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3354 | + ( ibit29 * adv_mom_5 & |
|---|
| 3355 | ) * & |
|---|
| 3356 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 3357 | ) |
|---|
| 3358 | |
|---|
| 3359 | ibit32 = IBITS(wall_flags_0(k,j,i),32,1) |
|---|
| 3360 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 3361 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 3362 | |
|---|
| 3363 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3364 | flux_n(k) = v_comp * ( & |
|---|
| 3365 | ( 37.0 * ibit32 * adv_mom_5 & |
|---|
| 3366 | + 7.0 * ibit31 * adv_mom_3 & |
|---|
| 3367 | + ibit30 * adv_mom_1 & |
|---|
| 3368 | ) * & |
|---|
| 3369 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3370 | - ( 8.0 * ibit32 * adv_mom_5 & |
|---|
| 3371 | + ibit31 * adv_mom_3 & |
|---|
| 3372 | ) * & |
|---|
| 3373 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3374 | + ( ibit32 * adv_mom_5 & |
|---|
| 3375 | ) * & |
|---|
| 3376 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 3377 | ) |
|---|
| 3378 | |
|---|
| 3379 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 3380 | ( 10.0 * ibit32 * adv_mom_5 & |
|---|
| 3381 | + 3.0 * ibit31 * adv_mom_3 & |
|---|
| 3382 | + ibit30 * adv_mom_1 & |
|---|
| 3383 | ) * & |
|---|
| 3384 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3385 | - ( 5.0 * ibit32 * adv_mom_5 & |
|---|
| 3386 | + ibit31 * adv_mom_3 & |
|---|
| 3387 | ) * & |
|---|
| 3388 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3389 | + ( ibit32 * adv_mom_5 & |
|---|
| 3390 | ) * & |
|---|
| 3391 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 3392 | ) |
|---|
| 3393 | ! |
|---|
| 3394 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3395 | !-- subscripts will be exceeded. |
|---|
| 3396 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 3397 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 3398 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 3399 | |
|---|
| 3400 | k_ppp = k + 3 * ibit35 |
|---|
| 3401 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3402 | k_mm = k - 2 * ibit35 |
|---|
| 3403 | |
|---|
| 3404 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 3405 | flux_t(k) = w_comp * ( & |
|---|
| 3406 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 3407 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 3408 | + ibit33 * adv_mom_1 & |
|---|
| 3409 | ) * & |
|---|
| 3410 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3411 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 3412 | + ibit34 * adv_mom_3 & |
|---|
| 3413 | ) * & |
|---|
| 3414 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3415 | + ( ibit35 * adv_mom_5 & |
|---|
| 3416 | ) * & |
|---|
| 3417 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3418 | ) |
|---|
| 3419 | |
|---|
| 3420 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3421 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 3422 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 3423 | + ibit33 * adv_mom_1 & |
|---|
| 3424 | ) * & |
|---|
| 3425 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3426 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 3427 | + ibit34 * adv_mom_3 & |
|---|
| 3428 | ) * & |
|---|
| 3429 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3430 | + ( ibit35 * adv_mom_5 & |
|---|
| 3431 | ) * & |
|---|
| 3432 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3433 | ) |
|---|
| 3434 | ! |
|---|
| 3435 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3436 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3437 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3438 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3439 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3440 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) & |
|---|
| 3441 | * ddzu(k+1) & |
|---|
| 3442 | ) * 0.5 |
|---|
| 3443 | |
|---|
| 3444 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3445 | ( flux_r(k) + diss_r(k) & |
|---|
| 3446 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 3447 | ) * ddx & |
|---|
| 3448 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3449 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 3450 | ) * ddy & |
|---|
| 3451 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3452 | - flux_d - diss_d & |
|---|
| 3453 | ) * ddzu(k+1) & |
|---|
| 3454 | ) + div * w(k,j,i) |
|---|
| 3455 | |
|---|
| 3456 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 3457 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 3458 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 3459 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 3460 | flux_d = flux_t(k) |
|---|
| 3461 | diss_d = diss_t(k) |
|---|
| 3462 | |
|---|
| 3463 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3464 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3465 | * weight_substep(intermediate_timestep_count) |
|---|
| 3466 | |
|---|
| 3467 | ENDDO |
|---|
| 3468 | |
|---|
| 3469 | DO k = nzb_max+1, nzt |
|---|
| 3470 | |
|---|
| 3471 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3472 | flux_r(k) = u_comp * ( & |
|---|
| 3473 | 37.0 * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3474 | - 8.0 * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3475 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3476 | |
|---|
| 3477 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3478 | 10.0 * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3479 | - 5.0 * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3480 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3481 | |
|---|
| 3482 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3483 | flux_n(k) = v_comp * ( & |
|---|
| 3484 | 37.0 * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3485 | - 8.0 * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3486 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3487 | |
|---|
| 3488 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 3489 | 10.0 * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3490 | - 5.0 * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3491 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3492 | ! |
|---|
| 3493 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3494 | !-- subscripts will be exceeded. |
|---|
| 3495 | ibit35 = IBITS(wall_flags_0(k,j,i),35,1) |
|---|
| 3496 | ibit34 = IBITS(wall_flags_0(k,j,i),34,1) |
|---|
| 3497 | ibit33 = IBITS(wall_flags_0(k,j,i),33,1) |
|---|
| 3498 | |
|---|
| 3499 | k_ppp = k + 3 * ibit35 |
|---|
| 3500 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3501 | k_mm = k - 2 * ibit35 |
|---|
| 3502 | |
|---|
| 3503 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 3504 | flux_t(k) = w_comp * ( & |
|---|
| 3505 | ( 37.0 * ibit35 * adv_mom_5 & |
|---|
| 3506 | + 7.0 * ibit34 * adv_mom_3 & |
|---|
| 3507 | + ibit33 * adv_mom_1 & |
|---|
| 3508 | ) * & |
|---|
| 3509 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3510 | - ( 8.0 * ibit35 * adv_mom_5 & |
|---|
| 3511 | + ibit34 * adv_mom_3 & |
|---|
| 3512 | ) * & |
|---|
| 3513 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3514 | + ( ibit35 * adv_mom_5 & |
|---|
| 3515 | ) * & |
|---|
| 3516 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3517 | ) |
|---|
| 3518 | |
|---|
| 3519 | diss_t(k) = - ABS( w_comp ) * ( & |
|---|
| 3520 | ( 10.0 * ibit35 * adv_mom_5 & |
|---|
| 3521 | + 3.0 * ibit34 * adv_mom_3 & |
|---|
| 3522 | + ibit33 * adv_mom_1 & |
|---|
| 3523 | ) * & |
|---|
| 3524 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3525 | - ( 5.0 * ibit35 * adv_mom_5 & |
|---|
| 3526 | + ibit34 * adv_mom_3 & |
|---|
| 3527 | ) * & |
|---|
| 3528 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3529 | + ( ibit35 * adv_mom_5 & |
|---|
| 3530 | ) * & |
|---|
| 3531 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3532 | ) |
|---|
| 3533 | ! |
|---|
| 3534 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3535 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3536 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3537 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3538 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3539 | + ( w_comp - ( w(k,j,i) + w(k-1,j,i) ) ) & |
|---|
| 3540 | * ddzu(k+1) & |
|---|
| 3541 | ) * 0.5 |
|---|
| 3542 | |
|---|
| 3543 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3544 | ( flux_r(k) + diss_r(k) & |
|---|
| 3545 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 3546 | ) * ddx & |
|---|
| 3547 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3548 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 3549 | ) * ddy & |
|---|
| 3550 | + ( flux_t(k) + diss_t(k) & |
|---|
| 3551 | - flux_d - diss_d & |
|---|
| 3552 | ) * ddzu(k+1) & |
|---|
| 3553 | ) + div * w(k,j,i) |
|---|
| 3554 | |
|---|
| 3555 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 3556 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 3557 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 3558 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 3559 | flux_d = flux_t(k) |
|---|
| 3560 | diss_d = diss_t(k) |
|---|
| 3561 | |
|---|
| 3562 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3563 | + ( flux_t(k) + diss_t(k) ) & |
|---|
| 3564 | * weight_substep(intermediate_timestep_count) |
|---|
| 3565 | |
|---|
| 3566 | ENDDO |
|---|
| 3567 | ENDDO |
|---|
| 3568 | ENDDO |
|---|
| 3569 | |
|---|
| 3570 | END SUBROUTINE advec_w_ws |
|---|
| 3571 | |
|---|
| 3572 | END MODULE advec_ws |
|---|
