[1873] | 1 | !> @file diffusion_v.f90 |
---|
[1036] | 2 | !--------------------------------------------------------------------------------! |
---|
| 3 | ! This file is part of PALM. |
---|
| 4 | ! |
---|
| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
---|
| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
---|
| 7 | ! either version 3 of the License, or (at your option) any later version. |
---|
| 8 | ! |
---|
| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
---|
| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
---|
| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
---|
| 12 | ! |
---|
| 13 | ! You should have received a copy of the GNU General Public License along with |
---|
| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
---|
| 15 | ! |
---|
[1818] | 16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
---|
[1036] | 17 | !--------------------------------------------------------------------------------! |
---|
| 18 | ! |
---|
[484] | 19 | ! Current revisions: |
---|
[1] | 20 | ! ----------------- |
---|
[1873] | 21 | ! Module renamed (removed _mod) |
---|
[1341] | 22 | ! |
---|
[1851] | 23 | ! |
---|
[1321] | 24 | ! Former revisions: |
---|
| 25 | ! ----------------- |
---|
| 26 | ! $Id: diffusion_v.f90 1873 2016-04-18 14:50:06Z maronga $ |
---|
| 27 | ! |
---|
[1851] | 28 | ! 1850 2016-04-08 13:29:27Z maronga |
---|
| 29 | ! Module renamed |
---|
| 30 | ! |
---|
| 31 | ! |
---|
[1741] | 32 | ! 1740 2016-01-13 08:19:40Z raasch |
---|
| 33 | ! unnecessary calculations of kmzm and kmzp in wall bounded parts removed |
---|
| 34 | ! |
---|
[1683] | 35 | ! 1682 2015-10-07 23:56:08Z knoop |
---|
| 36 | ! Code annotations made doxygen readable |
---|
| 37 | ! |
---|
[1341] | 38 | ! 1340 2014-03-25 19:45:13Z kanani |
---|
| 39 | ! REAL constants defined as wp-kind |
---|
| 40 | ! |
---|
[1321] | 41 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
[1320] | 42 | ! ONLY-attribute added to USE-statements, |
---|
| 43 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
| 44 | ! kinds are defined in new module kinds, |
---|
| 45 | ! revision history before 2012 removed, |
---|
| 46 | ! comment fields (!:) to be used for variable explanations added to |
---|
| 47 | ! all variable declaration statements |
---|
[1321] | 48 | ! |
---|
[1258] | 49 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
| 50 | ! openacc loop and loop vector clauses removed, declare create moved after |
---|
| 51 | ! the FORTRAN declaration statement |
---|
| 52 | ! |
---|
[1132] | 53 | ! 1128 2013-04-12 06:19:32Z raasch |
---|
| 54 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
---|
| 55 | ! j_north |
---|
| 56 | ! |
---|
[1037] | 57 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
| 58 | ! code put under GPL (PALM 3.9) |
---|
| 59 | ! |
---|
[1017] | 60 | ! 1015 2012-09-27 09:23:24Z raasch |
---|
| 61 | ! accelerator version (*_acc) added |
---|
| 62 | ! |
---|
[1002] | 63 | ! 1001 2012-09-13 14:08:46Z raasch |
---|
| 64 | ! arrays comunicated by module instead of parameter list |
---|
| 65 | ! |
---|
[979] | 66 | ! 978 2012-08-09 08:28:32Z fricke |
---|
| 67 | ! outflow damping layer removed |
---|
| 68 | ! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp |
---|
| 69 | ! |
---|
[1] | 70 | ! Revision 1.1 1997/09/12 06:24:01 raasch |
---|
| 71 | ! Initial revision |
---|
| 72 | ! |
---|
| 73 | ! |
---|
| 74 | ! Description: |
---|
| 75 | ! ------------ |
---|
[1682] | 76 | !> Diffusion term of the v-component |
---|
[1] | 77 | !------------------------------------------------------------------------------! |
---|
[1682] | 78 | MODULE diffusion_v_mod |
---|
| 79 | |
---|
[1] | 80 | |
---|
[56] | 81 | USE wall_fluxes_mod |
---|
| 82 | |
---|
[1] | 83 | PRIVATE |
---|
[1015] | 84 | PUBLIC diffusion_v, diffusion_v_acc |
---|
[1] | 85 | |
---|
| 86 | INTERFACE diffusion_v |
---|
| 87 | MODULE PROCEDURE diffusion_v |
---|
| 88 | MODULE PROCEDURE diffusion_v_ij |
---|
| 89 | END INTERFACE diffusion_v |
---|
| 90 | |
---|
[1015] | 91 | INTERFACE diffusion_v_acc |
---|
| 92 | MODULE PROCEDURE diffusion_v_acc |
---|
| 93 | END INTERFACE diffusion_v_acc |
---|
| 94 | |
---|
[1] | 95 | CONTAINS |
---|
| 96 | |
---|
| 97 | |
---|
| 98 | !------------------------------------------------------------------------------! |
---|
[1682] | 99 | ! Description: |
---|
| 100 | ! ------------ |
---|
| 101 | !> Call for all grid points |
---|
[1] | 102 | !------------------------------------------------------------------------------! |
---|
[1001] | 103 | SUBROUTINE diffusion_v |
---|
[1] | 104 | |
---|
[1320] | 105 | USE arrays_3d, & |
---|
| 106 | ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w |
---|
| 107 | |
---|
| 108 | USE control_parameters, & |
---|
| 109 | ONLY: constant_top_momentumflux, topography, use_surface_fluxes, & |
---|
| 110 | use_top_fluxes |
---|
| 111 | |
---|
| 112 | USE grid_variables, & |
---|
| 113 | ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v |
---|
| 114 | |
---|
| 115 | USE indices, & |
---|
| 116 | ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_diff_v, nzb_v_inner, & |
---|
| 117 | nzb_v_outer, nzt, nzt_diff |
---|
| 118 | |
---|
| 119 | USE kinds |
---|
[1] | 120 | |
---|
| 121 | IMPLICIT NONE |
---|
| 122 | |
---|
[1682] | 123 | INTEGER(iwp) :: i !< |
---|
| 124 | INTEGER(iwp) :: j !< |
---|
| 125 | INTEGER(iwp) :: k !< |
---|
| 126 | REAL(wp) :: kmxm !< |
---|
| 127 | REAL(wp) :: kmxp !< |
---|
| 128 | REAL(wp) :: kmzm !< |
---|
| 129 | REAL(wp) :: kmzp !< |
---|
[1001] | 130 | |
---|
[1682] | 131 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !< |
---|
[1] | 132 | |
---|
[56] | 133 | ! |
---|
| 134 | !-- First calculate horizontal momentum flux v'u' at vertical walls, |
---|
| 135 | !-- if neccessary |
---|
| 136 | IF ( topography /= 'flat' ) THEN |
---|
[1320] | 137 | CALL wall_fluxes( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, nzb_v_inner, & |
---|
[56] | 138 | nzb_v_outer, wall_v ) |
---|
| 139 | ENDIF |
---|
| 140 | |
---|
[1] | 141 | DO i = nxl, nxr |
---|
[106] | 142 | DO j = nysv, nyn |
---|
[1] | 143 | ! |
---|
| 144 | !-- Compute horizontal diffusion |
---|
| 145 | DO k = nzb_v_outer(j,i)+1, nzt |
---|
| 146 | ! |
---|
| 147 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 148 | kmxp = 0.25_wp * & |
---|
[978] | 149 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
[1340] | 150 | kmxm = 0.25_wp * & |
---|
[978] | 151 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
[1] | 152 | |
---|
[1320] | 153 | tend(k,j,i) = tend(k,j,i) & |
---|
| 154 | & + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 155 | & + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
| 156 | & - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 157 | & - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 158 | & ) * ddx & |
---|
[1340] | 159 | & + 2.0_wp * ( & |
---|
[1320] | 160 | & km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 161 | & - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 162 | & ) * ddy2 |
---|
[1] | 163 | ENDDO |
---|
| 164 | |
---|
| 165 | ! |
---|
| 166 | !-- Wall functions at the left and right walls, respectively |
---|
[1340] | 167 | IF ( wall_v(j,i) /= 0.0_wp ) THEN |
---|
[51] | 168 | |
---|
[1] | 169 | DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i) |
---|
[1340] | 170 | kmxp = 0.25_wp * & |
---|
[978] | 171 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
[1340] | 172 | kmxm = 0.25_wp * & |
---|
[978] | 173 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
| 174 | |
---|
[1] | 175 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 176 | + 2.0_wp * ( & |
---|
[1] | 177 | km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 178 | - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 179 | ) * ddy2 & |
---|
[1] | 180 | + ( fxp(j,i) * ( & |
---|
[978] | 181 | kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 182 | + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
[1] | 183 | ) & |
---|
| 184 | - fxm(j,i) * ( & |
---|
[978] | 185 | kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 186 | + kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
[1] | 187 | ) & |
---|
[56] | 188 | + wall_v(j,i) * vsus(k,j,i) & |
---|
[1] | 189 | ) * ddx |
---|
| 190 | ENDDO |
---|
| 191 | ENDIF |
---|
| 192 | |
---|
| 193 | ! |
---|
| 194 | !-- Compute vertical diffusion. In case of simulating a Prandtl |
---|
| 195 | !-- layer, index k starts at nzb_v_inner+2. |
---|
[102] | 196 | DO k = nzb_diff_v(j,i), nzt_diff |
---|
[1] | 197 | ! |
---|
| 198 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 199 | kmzp = 0.25_wp * & |
---|
[1] | 200 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
[1340] | 201 | kmzm = 0.25_wp * & |
---|
[1] | 202 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
| 203 | |
---|
[1320] | 204 | tend(k,j,i) = tend(k,j,i) & |
---|
| 205 | & + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
---|
| 206 | & + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 207 | & ) & |
---|
| 208 | & - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
---|
| 209 | & + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 210 | & ) & |
---|
[1] | 211 | & ) * ddzw(k) |
---|
| 212 | ENDDO |
---|
| 213 | |
---|
| 214 | ! |
---|
| 215 | !-- Vertical diffusion at the first grid point above the surface, |
---|
| 216 | !-- if the momentum flux at the bottom is given by the Prandtl law |
---|
| 217 | !-- or if it is prescribed by the user. |
---|
| 218 | !-- Difference quotient of the momentum flux is not formed over |
---|
| 219 | !-- half of the grid spacing (2.0*ddzw(k)) any more, since the |
---|
[1320] | 220 | !-- comparison with other (LES) models showed that the values of |
---|
[1] | 221 | !-- the momentum flux becomes too large in this case. |
---|
| 222 | !-- The term containing w(k-1,..) (see above equation) is removed here |
---|
| 223 | !-- because the vertical velocity is assumed to be zero at the surface. |
---|
| 224 | IF ( use_surface_fluxes ) THEN |
---|
| 225 | k = nzb_v_inner(j,i)+1 |
---|
| 226 | ! |
---|
| 227 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 228 | kmzp = 0.25_wp * & |
---|
[1] | 229 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
| 230 | |
---|
[1320] | 231 | tend(k,j,i) = tend(k,j,i) & |
---|
| 232 | & + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 233 | & ) * ddzw(k) & |
---|
| 234 | & + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
---|
| 235 | & + vsws(j,i) & |
---|
[1] | 236 | & ) * ddzw(k) |
---|
| 237 | ENDIF |
---|
| 238 | |
---|
[102] | 239 | ! |
---|
| 240 | !-- Vertical diffusion at the first gridpoint below the top boundary, |
---|
| 241 | !-- if the momentum flux at the top is prescribed by the user |
---|
[103] | 242 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
---|
[102] | 243 | k = nzt |
---|
| 244 | ! |
---|
| 245 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 246 | kmzm = 0.25_wp * & |
---|
[102] | 247 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
| 248 | |
---|
[1320] | 249 | tend(k,j,i) = tend(k,j,i) & |
---|
| 250 | & - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 251 | & ) * ddzw(k) & |
---|
| 252 | & + ( -vswst(j,i) & |
---|
| 253 | & - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
---|
[102] | 254 | & ) * ddzw(k) |
---|
| 255 | ENDIF |
---|
| 256 | |
---|
[1] | 257 | ENDDO |
---|
| 258 | ENDDO |
---|
| 259 | |
---|
| 260 | END SUBROUTINE diffusion_v |
---|
| 261 | |
---|
| 262 | |
---|
| 263 | !------------------------------------------------------------------------------! |
---|
[1682] | 264 | ! Description: |
---|
| 265 | ! ------------ |
---|
| 266 | !> Call for all grid points - accelerator version |
---|
[1015] | 267 | !------------------------------------------------------------------------------! |
---|
| 268 | SUBROUTINE diffusion_v_acc |
---|
| 269 | |
---|
[1320] | 270 | USE arrays_3d, & |
---|
| 271 | ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w |
---|
| 272 | |
---|
| 273 | USE control_parameters, & |
---|
| 274 | ONLY: constant_top_momentumflux, topography, use_surface_fluxes, & |
---|
| 275 | use_top_fluxes |
---|
| 276 | |
---|
| 277 | USE grid_variables, & |
---|
| 278 | ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v |
---|
| 279 | |
---|
| 280 | USE indices, & |
---|
| 281 | ONLY: i_left, i_right, j_north, j_south, nxl, nxr, nyn, nys, nzb, & |
---|
| 282 | nzb_diff_v, nzb_v_inner, nzb_v_outer, nzt, nzt_diff |
---|
| 283 | |
---|
| 284 | USE kinds |
---|
[1015] | 285 | |
---|
| 286 | IMPLICIT NONE |
---|
| 287 | |
---|
[1682] | 288 | INTEGER(iwp) :: i !< |
---|
| 289 | INTEGER(iwp) :: j !< |
---|
| 290 | INTEGER(iwp) :: k !< |
---|
| 291 | REAL(wp) :: kmxm !< |
---|
| 292 | REAL(wp) :: kmxp !< |
---|
| 293 | REAL(wp) :: kmzm !< |
---|
| 294 | REAL(wp) :: kmzp !< |
---|
[1015] | 295 | |
---|
[1682] | 296 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !< |
---|
[1015] | 297 | !$acc declare create ( vsus ) |
---|
| 298 | |
---|
| 299 | ! |
---|
| 300 | !-- First calculate horizontal momentum flux v'u' at vertical walls, |
---|
| 301 | !-- if neccessary |
---|
| 302 | IF ( topography /= 'flat' ) THEN |
---|
[1320] | 303 | CALL wall_fluxes_acc( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, & |
---|
| 304 | nzb_v_inner, nzb_v_outer, wall_v ) |
---|
[1015] | 305 | ENDIF |
---|
| 306 | |
---|
[1320] | 307 | !$acc kernels present ( u, v, w, km, tend, vsws, vswst ) & |
---|
| 308 | !$acc present ( ddzu, ddzw, fxm, fxp, wall_v ) & |
---|
[1015] | 309 | !$acc present ( nzb_v_inner, nzb_v_outer, nzb_diff_v ) |
---|
[1128] | 310 | DO i = i_left, i_right |
---|
| 311 | DO j = j_south, j_north |
---|
[1015] | 312 | ! |
---|
| 313 | !-- Compute horizontal diffusion |
---|
| 314 | DO k = 1, nzt |
---|
| 315 | IF ( k > nzb_v_outer(j,i) ) THEN |
---|
| 316 | ! |
---|
| 317 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 318 | kmxp = 0.25_wp * & |
---|
[1015] | 319 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
[1340] | 320 | kmxm = 0.25_wp * & |
---|
[1015] | 321 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
| 322 | |
---|
| 323 | tend(k,j,i) = tend(k,j,i) & |
---|
| 324 | & + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 325 | & + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
| 326 | & - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 327 | & - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 328 | & ) * ddx & |
---|
[1340] | 329 | & + 2.0_wp * ( & |
---|
[1015] | 330 | & km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 331 | & - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 332 | & ) * ddy2 |
---|
[1015] | 333 | ENDIF |
---|
| 334 | ENDDO |
---|
| 335 | |
---|
| 336 | ! |
---|
| 337 | !-- Wall functions at the left and right walls, respectively |
---|
| 338 | DO k = 1, nzt |
---|
[1320] | 339 | IF( k > nzb_v_inner(j,i) .AND. k <= nzb_v_outer(j,i) .AND. & |
---|
[1340] | 340 | wall_v(j,i) /= 0.0_wp ) THEN |
---|
[1015] | 341 | |
---|
[1340] | 342 | kmxp = 0.25_wp * & |
---|
[1015] | 343 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
[1340] | 344 | kmxm = 0.25_wp * & |
---|
[1015] | 345 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
| 346 | |
---|
| 347 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 348 | + 2.0_wp * ( & |
---|
[1015] | 349 | km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 350 | - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 351 | ) * ddy2 & |
---|
[1015] | 352 | + ( fxp(j,i) * ( & |
---|
| 353 | kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 354 | + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
| 355 | ) & |
---|
| 356 | - fxm(j,i) * ( & |
---|
| 357 | kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 358 | + kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 359 | ) & |
---|
| 360 | + wall_v(j,i) * vsus(k,j,i) & |
---|
| 361 | ) * ddx |
---|
| 362 | ENDIF |
---|
| 363 | ENDDO |
---|
| 364 | |
---|
| 365 | ! |
---|
| 366 | !-- Compute vertical diffusion. In case of simulating a Prandtl |
---|
| 367 | !-- layer, index k starts at nzb_v_inner+2. |
---|
| 368 | DO k = 1, nzt_diff |
---|
| 369 | IF ( k >= nzb_diff_v(j,i) ) THEN |
---|
| 370 | ! |
---|
| 371 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 372 | kmzp = 0.25_wp * & |
---|
[1015] | 373 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
[1340] | 374 | kmzm = 0.25_wp * & |
---|
[1015] | 375 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
| 376 | |
---|
| 377 | tend(k,j,i) = tend(k,j,i) & |
---|
| 378 | & + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1)& |
---|
| 379 | & + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 380 | & ) & |
---|
| 381 | & - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k)& |
---|
| 382 | & + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 383 | & ) & |
---|
| 384 | & ) * ddzw(k) |
---|
| 385 | ENDIF |
---|
| 386 | ENDDO |
---|
| 387 | |
---|
| 388 | ENDDO |
---|
| 389 | ENDDO |
---|
| 390 | |
---|
| 391 | ! |
---|
| 392 | !-- Vertical diffusion at the first grid point above the surface, |
---|
| 393 | !-- if the momentum flux at the bottom is given by the Prandtl law |
---|
| 394 | !-- or if it is prescribed by the user. |
---|
| 395 | !-- Difference quotient of the momentum flux is not formed over |
---|
| 396 | !-- half of the grid spacing (2.0*ddzw(k)) any more, since the |
---|
[1320] | 397 | !-- comparison with other (LES) models showed that the values of |
---|
[1015] | 398 | !-- the momentum flux becomes too large in this case. |
---|
| 399 | !-- The term containing w(k-1,..) (see above equation) is removed here |
---|
| 400 | !-- because the vertical velocity is assumed to be zero at the surface. |
---|
| 401 | IF ( use_surface_fluxes ) THEN |
---|
| 402 | |
---|
[1128] | 403 | DO i = i_left, i_right |
---|
| 404 | DO j = j_south, j_north |
---|
[1015] | 405 | |
---|
| 406 | k = nzb_v_inner(j,i)+1 |
---|
| 407 | ! |
---|
| 408 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 409 | kmzp = 0.25_wp * & |
---|
[1015] | 410 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
| 411 | |
---|
[1320] | 412 | tend(k,j,i) = tend(k,j,i) & |
---|
| 413 | & + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 414 | & ) * ddzw(k) & |
---|
| 415 | & + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
---|
| 416 | & + vsws(j,i) & |
---|
[1015] | 417 | & ) * ddzw(k) |
---|
| 418 | ENDDO |
---|
| 419 | ENDDO |
---|
| 420 | |
---|
| 421 | ENDIF |
---|
| 422 | |
---|
| 423 | ! |
---|
| 424 | !-- Vertical diffusion at the first gridpoint below the top boundary, |
---|
| 425 | !-- if the momentum flux at the top is prescribed by the user |
---|
| 426 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
---|
| 427 | |
---|
| 428 | k = nzt |
---|
| 429 | |
---|
[1128] | 430 | DO i = i_left, i_right |
---|
| 431 | DO j = j_south, j_north |
---|
[1015] | 432 | |
---|
| 433 | ! |
---|
| 434 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 435 | kmzm = 0.25_wp * & |
---|
[1015] | 436 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
| 437 | |
---|
[1320] | 438 | tend(k,j,i) = tend(k,j,i) & |
---|
| 439 | & - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 440 | & ) * ddzw(k) & |
---|
| 441 | & + ( -vswst(j,i) & |
---|
| 442 | & - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
---|
[1015] | 443 | & ) * ddzw(k) |
---|
| 444 | ENDDO |
---|
| 445 | ENDDO |
---|
| 446 | |
---|
| 447 | ENDIF |
---|
| 448 | !$acc end kernels |
---|
| 449 | |
---|
| 450 | END SUBROUTINE diffusion_v_acc |
---|
| 451 | |
---|
| 452 | |
---|
| 453 | !------------------------------------------------------------------------------! |
---|
[1682] | 454 | ! Description: |
---|
| 455 | ! ------------ |
---|
| 456 | !> Call for grid point i,j |
---|
[1] | 457 | !------------------------------------------------------------------------------! |
---|
[1001] | 458 | SUBROUTINE diffusion_v_ij( i, j ) |
---|
[1] | 459 | |
---|
[1320] | 460 | USE arrays_3d, & |
---|
| 461 | ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w |
---|
| 462 | |
---|
| 463 | USE control_parameters, & |
---|
| 464 | ONLY: constant_top_momentumflux, use_surface_fluxes, use_top_fluxes |
---|
| 465 | |
---|
| 466 | USE grid_variables, & |
---|
| 467 | ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v |
---|
| 468 | |
---|
| 469 | USE indices, & |
---|
| 470 | ONLY: nzb, nzb_diff_v, nzb_v_inner, nzb_v_outer, nzt, nzt_diff |
---|
| 471 | |
---|
| 472 | USE kinds |
---|
[1] | 473 | |
---|
| 474 | IMPLICIT NONE |
---|
| 475 | |
---|
[1682] | 476 | INTEGER(iwp) :: i !< |
---|
| 477 | INTEGER(iwp) :: j !< |
---|
| 478 | INTEGER(iwp) :: k !< |
---|
| 479 | REAL(wp) :: kmxm !< |
---|
| 480 | REAL(wp) :: kmxp !< |
---|
| 481 | REAL(wp) :: kmzm !< |
---|
| 482 | REAL(wp) :: kmzp !< |
---|
[1] | 483 | |
---|
[1682] | 484 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
---|
[1001] | 485 | |
---|
[1] | 486 | ! |
---|
| 487 | !-- Compute horizontal diffusion |
---|
| 488 | DO k = nzb_v_outer(j,i)+1, nzt |
---|
| 489 | ! |
---|
| 490 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 491 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
| 492 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
[1] | 493 | |
---|
[1320] | 494 | tend(k,j,i) = tend(k,j,i) & |
---|
| 495 | & + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 496 | & + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
| 497 | & - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 498 | & - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 499 | & ) * ddx & |
---|
[1340] | 500 | & + 2.0_wp * ( & |
---|
[1320] | 501 | & km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 502 | & - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 503 | & ) * ddy2 |
---|
[1] | 504 | ENDDO |
---|
| 505 | |
---|
| 506 | ! |
---|
| 507 | !-- Wall functions at the left and right walls, respectively |
---|
[1340] | 508 | IF ( wall_v(j,i) /= 0.0_wp ) THEN |
---|
[51] | 509 | |
---|
| 510 | ! |
---|
| 511 | !-- Calculate the horizontal momentum flux v'u' |
---|
[1320] | 512 | CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), & |
---|
| 513 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
[51] | 514 | |
---|
[1] | 515 | DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i) |
---|
[1340] | 516 | kmxp = 0.25_wp * & |
---|
[978] | 517 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
---|
[1340] | 518 | kmxm = 0.25_wp * & |
---|
[978] | 519 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
---|
[1] | 520 | |
---|
| 521 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 522 | + 2.0_wp * ( & |
---|
[1] | 523 | km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
---|
| 524 | - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
---|
[1340] | 525 | ) * ddy2 & |
---|
[1] | 526 | + ( fxp(j,i) * ( & |
---|
[978] | 527 | kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
---|
| 528 | + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
---|
[1] | 529 | ) & |
---|
| 530 | - fxm(j,i) * ( & |
---|
[978] | 531 | kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 532 | + kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
[1] | 533 | ) & |
---|
[51] | 534 | + wall_v(j,i) * vsus(k) & |
---|
[1] | 535 | ) * ddx |
---|
| 536 | ENDDO |
---|
| 537 | ENDIF |
---|
| 538 | |
---|
| 539 | ! |
---|
| 540 | !-- Compute vertical diffusion. In case of simulating a Prandtl layer, |
---|
| 541 | !-- index k starts at nzb_v_inner+2. |
---|
[102] | 542 | DO k = nzb_diff_v(j,i), nzt_diff |
---|
[1] | 543 | ! |
---|
| 544 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 545 | kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
| 546 | kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
[1] | 547 | |
---|
[1320] | 548 | tend(k,j,i) = tend(k,j,i) & |
---|
| 549 | & + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
---|
| 550 | & + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 551 | & ) & |
---|
| 552 | & - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
---|
| 553 | & + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 554 | & ) & |
---|
[1] | 555 | & ) * ddzw(k) |
---|
| 556 | ENDDO |
---|
| 557 | |
---|
| 558 | ! |
---|
| 559 | !-- Vertical diffusion at the first grid point above the surface, if the |
---|
| 560 | !-- momentum flux at the bottom is given by the Prandtl law or if it is |
---|
| 561 | !-- prescribed by the user. |
---|
| 562 | !-- Difference quotient of the momentum flux is not formed over half of |
---|
| 563 | !-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with |
---|
[1320] | 564 | !-- other (LES) models showed that the values of the momentum flux becomes |
---|
[1] | 565 | !-- too large in this case. |
---|
| 566 | !-- The term containing w(k-1,..) (see above equation) is removed here |
---|
| 567 | !-- because the vertical velocity is assumed to be zero at the surface. |
---|
| 568 | IF ( use_surface_fluxes ) THEN |
---|
| 569 | k = nzb_v_inner(j,i)+1 |
---|
| 570 | ! |
---|
| 571 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 572 | kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
---|
[1] | 573 | |
---|
[1320] | 574 | tend(k,j,i) = tend(k,j,i) & |
---|
| 575 | & + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
---|
| 576 | & ) * ddzw(k) & |
---|
| 577 | & + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
---|
| 578 | & + vsws(j,i) & |
---|
[1] | 579 | & ) * ddzw(k) |
---|
| 580 | ENDIF |
---|
| 581 | |
---|
[102] | 582 | ! |
---|
| 583 | !-- Vertical diffusion at the first gridpoint below the top boundary, |
---|
| 584 | !-- if the momentum flux at the top is prescribed by the user |
---|
[103] | 585 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
---|
[102] | 586 | k = nzt |
---|
| 587 | ! |
---|
| 588 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 589 | kmzm = 0.25_wp * & |
---|
[102] | 590 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
---|
| 591 | |
---|
[1320] | 592 | tend(k,j,i) = tend(k,j,i) & |
---|
| 593 | & - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
---|
| 594 | & ) * ddzw(k) & |
---|
| 595 | & + ( -vswst(j,i) & |
---|
| 596 | & - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
---|
[102] | 597 | & ) * ddzw(k) |
---|
| 598 | ENDIF |
---|
| 599 | |
---|
[1] | 600 | END SUBROUTINE diffusion_v_ij |
---|
| 601 | |
---|
[1321] | 602 | END MODULE diffusion_v_mod |
---|