[1873] | 1 | !> @file diffusion_u.f90 |
---|
[2000] | 2 | !------------------------------------------------------------------------------! |
---|
[2696] | 3 | ! This file is part of the PALM model system. |
---|
[1036] | 4 | ! |
---|
[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
---|
| 6 | ! terms of the GNU General Public License as published by the Free Software |
---|
| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
---|
| 8 | ! version. |
---|
[1036] | 9 | ! |
---|
| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
---|
| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
---|
| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
---|
| 13 | ! |
---|
| 14 | ! You should have received a copy of the GNU General Public License along with |
---|
| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
---|
| 16 | ! |
---|
[3655] | 17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
---|
[2000] | 18 | !------------------------------------------------------------------------------! |
---|
[1036] | 19 | ! |
---|
[484] | 20 | ! Current revisions: |
---|
[1] | 21 | ! ----------------- |
---|
[1341] | 22 | ! |
---|
[2233] | 23 | ! |
---|
[1321] | 24 | ! Former revisions: |
---|
| 25 | ! ----------------- |
---|
| 26 | ! $Id: diffusion_u.f90 4180 2019-08-21 14:37:54Z scharf $ |
---|
[3634] | 27 | ! OpenACC port for SPEC |
---|
| 28 | ! |
---|
[2716] | 29 | ! |
---|
[1] | 30 | ! Description: |
---|
| 31 | ! ------------ |
---|
[1682] | 32 | !> Diffusion term of the u-component |
---|
| 33 | !> @todo additional damping (needed for non-cyclic bc) causes bad vectorization |
---|
| 34 | !> and slows down the speed on NEC about 5-10% |
---|
[1] | 35 | !------------------------------------------------------------------------------! |
---|
[1682] | 36 | MODULE diffusion_u_mod |
---|
| 37 | |
---|
[1] | 38 | |
---|
| 39 | PRIVATE |
---|
[2118] | 40 | PUBLIC diffusion_u |
---|
[1] | 41 | |
---|
| 42 | INTERFACE diffusion_u |
---|
| 43 | MODULE PROCEDURE diffusion_u |
---|
| 44 | MODULE PROCEDURE diffusion_u_ij |
---|
| 45 | END INTERFACE diffusion_u |
---|
| 46 | |
---|
| 47 | CONTAINS |
---|
| 48 | |
---|
| 49 | |
---|
| 50 | !------------------------------------------------------------------------------! |
---|
[1682] | 51 | ! Description: |
---|
| 52 | ! ------------ |
---|
| 53 | !> Call for all grid points |
---|
[1] | 54 | !------------------------------------------------------------------------------! |
---|
[1001] | 55 | SUBROUTINE diffusion_u |
---|
[1] | 56 | |
---|
[1320] | 57 | USE arrays_3d, & |
---|
[2232] | 58 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
---|
[1320] | 59 | |
---|
| 60 | USE control_parameters, & |
---|
[2232] | 61 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
---|
[1320] | 62 | use_top_fluxes |
---|
| 63 | |
---|
| 64 | USE grid_variables, & |
---|
[2232] | 65 | ONLY: ddx, ddx2, ddy |
---|
[1320] | 66 | |
---|
| 67 | USE indices, & |
---|
[3241] | 68 | ONLY: nxlu, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
---|
[2232] | 69 | |
---|
[1320] | 70 | USE kinds |
---|
[1] | 71 | |
---|
[2232] | 72 | USE surface_mod, & |
---|
| 73 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
| 74 | surf_usm_v |
---|
| 75 | |
---|
[1] | 76 | IMPLICIT NONE |
---|
| 77 | |
---|
[2232] | 78 | INTEGER(iwp) :: i !< running index x direction |
---|
| 79 | INTEGER(iwp) :: j !< running index y direction |
---|
| 80 | INTEGER(iwp) :: k !< running index z direction |
---|
| 81 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
---|
| 82 | INTEGER(iwp) :: m !< running index surface elements |
---|
[3547] | 83 | INTEGER(iwp) :: surf_e !< end index of surface elements at (j,i)-gridpoint |
---|
| 84 | INTEGER(iwp) :: surf_s !< start index of surface elements at (j,i)-gridpoint |
---|
[1001] | 85 | |
---|
[2232] | 86 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[3547] | 87 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
---|
| 88 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
---|
| 89 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
---|
| 90 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
---|
[2232] | 91 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
---|
| 92 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
---|
| 93 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
---|
| 94 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
---|
[1] | 95 | |
---|
[56] | 96 | |
---|
[2232] | 97 | |
---|
[3634] | 98 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) & |
---|
| 99 | !$ACC PRIVATE(surf_e, surf_s, flag, kmym, kmyp, kmzm, kmzp) & |
---|
| 100 | !$ACC PRIVATE(mask_bottom, mask_north, mask_south, mask_top) & |
---|
| 101 | !$ACC PRESENT(wall_flags_0, km) & |
---|
| 102 | !$ACC PRESENT(u, v, w) & |
---|
| 103 | !$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) & |
---|
| 104 | !$ACC PRESENT(surf_def_h(0:2), surf_def_v(0:1)) & |
---|
| 105 | !$ACC PRESENT(surf_lsm_h, surf_lsm_v(0:1)) & |
---|
| 106 | !$ACC PRESENT(surf_usm_h, surf_usm_v(0:1)) & |
---|
| 107 | !$ACC PRESENT(tend) |
---|
[106] | 108 | DO i = nxlu, nxr |
---|
[1001] | 109 | DO j = nys, nyn |
---|
[1] | 110 | ! |
---|
| 111 | !-- Compute horizontal diffusion |
---|
[2232] | 112 | DO k = nzb+1, nzt |
---|
[1] | 113 | ! |
---|
[2232] | 114 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
---|
| 115 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
---|
| 116 | !-- need special treatment for the u-component. |
---|
| 117 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
| 118 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 1 ) ) |
---|
| 119 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 1 ) ) |
---|
| 120 | ! |
---|
[1] | 121 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 122 | kmyp = 0.25_wp * & |
---|
[978] | 123 | ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
---|
[1340] | 124 | kmym = 0.25_wp * & |
---|
[978] | 125 | ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
---|
[1] | 126 | |
---|
[1320] | 127 | tend(k,j,i) = tend(k,j,i) & |
---|
[2232] | 128 | + 2.0_wp * ( & |
---|
| 129 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
| 130 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
| 131 | ) * ddx2 * flag & |
---|
| 132 | + ( mask_north * ( & |
---|
| 133 | kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
---|
| 134 | + kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
---|
| 135 | ) & |
---|
| 136 | - mask_south * ( & |
---|
| 137 | kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 138 | + kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 139 | ) & |
---|
| 140 | ) * ddy * flag |
---|
[1] | 141 | ENDDO |
---|
| 142 | ! |
---|
[2232] | 143 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
---|
| 144 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
---|
| 145 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
---|
| 146 | !-- so far. |
---|
| 147 | !-- Default-type surfaces |
---|
| 148 | DO l = 0, 1 |
---|
| 149 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
| 150 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
| 151 | DO m = surf_s, surf_e |
---|
| 152 | k = surf_def_v(l)%k(m) |
---|
| 153 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 154 | surf_def_v(l)%mom_flux_uv(m) * ddy |
---|
| 155 | ENDDO |
---|
| 156 | ENDDO |
---|
| 157 | ! |
---|
| 158 | !-- Natural-type surfaces |
---|
| 159 | DO l = 0, 1 |
---|
| 160 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
| 161 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
| 162 | DO m = surf_s, surf_e |
---|
| 163 | k = surf_lsm_v(l)%k(m) |
---|
| 164 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 165 | surf_lsm_v(l)%mom_flux_uv(m) * ddy |
---|
| 166 | ENDDO |
---|
| 167 | ENDDO |
---|
| 168 | ! |
---|
| 169 | !-- Urban-type surfaces |
---|
| 170 | DO l = 0, 1 |
---|
| 171 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
| 172 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
| 173 | DO m = surf_s, surf_e |
---|
| 174 | k = surf_usm_v(l)%k(m) |
---|
| 175 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 176 | surf_usm_v(l)%mom_flux_uv(m) * ddy |
---|
| 177 | ENDDO |
---|
| 178 | ENDDO |
---|
[51] | 179 | |
---|
[1] | 180 | ! |
---|
[2232] | 181 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
---|
| 182 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
---|
| 183 | !-- loop, and added further below, else, simple gradient approach is |
---|
| 184 | !-- applied. Model top is also mask if top-momentum flux is given. |
---|
| 185 | DO k = nzb+1, nzt |
---|
[1] | 186 | ! |
---|
[2232] | 187 | !-- Determine flags to mask topography below and above. Flag 1 is |
---|
| 188 | !-- used to mask topography in general, and flag 8 implies |
---|
| 189 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
| 190 | !-- momentum flux at model top. |
---|
| 191 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 192 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
| 193 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 194 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
| 195 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 196 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
| 197 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 198 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
| 199 | ! |
---|
[1] | 200 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 201 | kmzp = 0.25_wp * & |
---|
[1] | 202 | ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
---|
[1340] | 203 | kmzm = 0.25_wp * & |
---|
[1] | 204 | ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
---|
| 205 | |
---|
[1320] | 206 | tend(k,j,i) = tend(k,j,i) & |
---|
[2232] | 207 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
---|
| 208 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
---|
| 209 | ) * rho_air_zw(k) * mask_top & |
---|
| 210 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
---|
| 211 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
---|
| 212 | ) * rho_air_zw(k-1) * mask_bottom & |
---|
| 213 | ) * ddzw(k) * drho_air(k) * flag |
---|
[1] | 214 | ENDDO |
---|
| 215 | |
---|
| 216 | ! |
---|
| 217 | !-- Vertical diffusion at the first grid point above the surface, |
---|
| 218 | !-- if the momentum flux at the bottom is given by the Prandtl law or |
---|
| 219 | !-- if it is prescribed by the user. |
---|
| 220 | !-- Difference quotient of the momentum flux is not formed over half |
---|
| 221 | !-- of the grid spacing (2.0*ddzw(k)) any more, since the comparison |
---|
[1320] | 222 | !-- with other (LES) models showed that the values of the momentum |
---|
[1] | 223 | !-- flux becomes too large in this case. |
---|
| 224 | !-- The term containing w(k-1,..) (see above equation) is removed here |
---|
| 225 | !-- because the vertical velocity is assumed to be zero at the surface. |
---|
| 226 | IF ( use_surface_fluxes ) THEN |
---|
| 227 | ! |
---|
[2232] | 228 | !-- Default-type surfaces, upward-facing |
---|
| 229 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
| 230 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
| 231 | DO m = surf_s, surf_e |
---|
[1] | 232 | |
---|
[2232] | 233 | k = surf_def_h(0)%k(m) |
---|
[1] | 234 | |
---|
[2232] | 235 | tend(k,j,i) = tend(k,j,i) & |
---|
| 236 | + ( - ( - surf_def_h(0)%usws(m) ) & |
---|
| 237 | ) * ddzw(k) * drho_air(k) |
---|
| 238 | ENDDO |
---|
[102] | 239 | ! |
---|
[2232] | 240 | !-- Default-type surfaces, dowward-facing |
---|
| 241 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 242 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
| 243 | DO m = surf_s, surf_e |
---|
| 244 | |
---|
| 245 | k = surf_def_h(1)%k(m) |
---|
| 246 | |
---|
| 247 | tend(k,j,i) = tend(k,j,i) & |
---|
| 248 | + ( - surf_def_h(1)%usws(m) & |
---|
| 249 | ) * ddzw(k) * drho_air(k) |
---|
| 250 | ENDDO |
---|
[102] | 251 | ! |
---|
[2232] | 252 | !-- Natural-type surfaces, upward-facing |
---|
| 253 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 254 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 255 | DO m = surf_s, surf_e |
---|
[102] | 256 | |
---|
[2232] | 257 | k = surf_lsm_h%k(m) |
---|
| 258 | |
---|
| 259 | tend(k,j,i) = tend(k,j,i) & |
---|
| 260 | + ( - ( - surf_lsm_h%usws(m) ) & |
---|
| 261 | ) * ddzw(k) * drho_air(k) |
---|
| 262 | ENDDO |
---|
| 263 | ! |
---|
| 264 | !-- Urban-type surfaces, upward-facing |
---|
| 265 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 266 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 267 | DO m = surf_s, surf_e |
---|
| 268 | |
---|
| 269 | k = surf_usm_h%k(m) |
---|
| 270 | |
---|
| 271 | tend(k,j,i) = tend(k,j,i) & |
---|
| 272 | + ( - ( - surf_usm_h%usws(m) ) & |
---|
| 273 | ) * ddzw(k) * drho_air(k) |
---|
| 274 | ENDDO |
---|
| 275 | |
---|
[102] | 276 | ENDIF |
---|
[2232] | 277 | ! |
---|
| 278 | !-- Add momentum flux at model top |
---|
[2638] | 279 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
---|
[2232] | 280 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 281 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 282 | DO m = surf_s, surf_e |
---|
[102] | 283 | |
---|
[2232] | 284 | k = surf_def_h(2)%k(m) |
---|
| 285 | |
---|
| 286 | tend(k,j,i) = tend(k,j,i) & |
---|
| 287 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
---|
| 288 | ENDDO |
---|
| 289 | ENDIF |
---|
| 290 | |
---|
[1] | 291 | ENDDO |
---|
| 292 | ENDDO |
---|
| 293 | |
---|
| 294 | END SUBROUTINE diffusion_u |
---|
| 295 | |
---|
| 296 | |
---|
| 297 | !------------------------------------------------------------------------------! |
---|
[1682] | 298 | ! Description: |
---|
| 299 | ! ------------ |
---|
| 300 | !> Call for grid point i,j |
---|
[1] | 301 | !------------------------------------------------------------------------------! |
---|
[1001] | 302 | SUBROUTINE diffusion_u_ij( i, j ) |
---|
[1] | 303 | |
---|
[1320] | 304 | USE arrays_3d, & |
---|
[2232] | 305 | ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw |
---|
[1320] | 306 | |
---|
| 307 | USE control_parameters, & |
---|
[2232] | 308 | ONLY: constant_top_momentumflux, use_surface_fluxes, & |
---|
| 309 | use_top_fluxes |
---|
[1320] | 310 | |
---|
| 311 | USE grid_variables, & |
---|
[2232] | 312 | ONLY: ddx, ddx2, ddy |
---|
[1320] | 313 | |
---|
| 314 | USE indices, & |
---|
[2232] | 315 | ONLY: nzb, nzt, wall_flags_0 |
---|
| 316 | |
---|
[1320] | 317 | USE kinds |
---|
[1] | 318 | |
---|
[2232] | 319 | USE surface_mod, & |
---|
| 320 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
| 321 | surf_usm_v |
---|
| 322 | |
---|
[1] | 323 | IMPLICIT NONE |
---|
| 324 | |
---|
[2232] | 325 | INTEGER(iwp) :: i !< running index x direction |
---|
| 326 | INTEGER(iwp) :: j !< running index y direction |
---|
| 327 | INTEGER(iwp) :: k !< running index z direction |
---|
| 328 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
---|
| 329 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 330 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
| 331 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
[1] | 332 | |
---|
[2232] | 333 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[3547] | 334 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the u-gridbox - interpolated onto xu-yv grid |
---|
| 335 | REAL(wp) :: kmyp !<diffusion coefficient on northward side of the u-gridbox - interpolated onto xu-yv grid |
---|
| 336 | REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid |
---|
| 337 | REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid |
---|
[2232] | 338 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
---|
| 339 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
---|
| 340 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
---|
| 341 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
---|
| 342 | ! |
---|
[1] | 343 | !-- Compute horizontal diffusion |
---|
[2232] | 344 | DO k = nzb+1, nzt |
---|
[1] | 345 | ! |
---|
[2232] | 346 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
---|
| 347 | !-- It is sufficient to masked only north- and south-facing surfaces, which |
---|
| 348 | !-- need special treatment for the u-component. |
---|
| 349 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
| 350 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 1 ) ) |
---|
| 351 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 1 ) ) |
---|
| 352 | ! |
---|
[1] | 353 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 354 | kmyp = 0.25_wp * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) ) |
---|
| 355 | kmym = 0.25_wp * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) ) |
---|
[1] | 356 | |
---|
[1320] | 357 | tend(k,j,i) = tend(k,j,i) & |
---|
[2232] | 358 | + 2.0_wp * ( & |
---|
| 359 | km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) & |
---|
| 360 | - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) & |
---|
| 361 | ) * ddx2 * flag & |
---|
| 362 | + ( & |
---|
| 363 | mask_north * kmyp * ( ( u(k,j+1,i) - u(k,j,i) ) * ddy & |
---|
| 364 | + ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx & |
---|
| 365 | ) & |
---|
| 366 | - mask_south * kmym * ( ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
---|
| 367 | + ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
---|
| 368 | ) & |
---|
| 369 | ) * ddy * flag |
---|
[1] | 370 | ENDDO |
---|
| 371 | |
---|
| 372 | ! |
---|
[2232] | 373 | !-- Add horizontal momentum flux u'v' at north- (l=0) and south-facing (l=1) |
---|
| 374 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
---|
| 375 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
---|
| 376 | !-- so far. |
---|
| 377 | !-- Default-type surfaces |
---|
| 378 | DO l = 0, 1 |
---|
| 379 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
| 380 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
| 381 | DO m = surf_s, surf_e |
---|
| 382 | k = surf_def_v(l)%k(m) |
---|
| 383 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_uv(m) * ddy |
---|
| 384 | ENDDO |
---|
| 385 | ENDDO |
---|
[51] | 386 | ! |
---|
[2232] | 387 | !-- Natural-type surfaces |
---|
| 388 | DO l = 0, 1 |
---|
| 389 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
| 390 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
| 391 | DO m = surf_s, surf_e |
---|
| 392 | k = surf_lsm_v(l)%k(m) |
---|
| 393 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_uv(m) * ddy |
---|
| 394 | ENDDO |
---|
| 395 | ENDDO |
---|
[1] | 396 | ! |
---|
[2232] | 397 | !-- Urban-type surfaces |
---|
| 398 | DO l = 0, 1 |
---|
| 399 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
| 400 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
| 401 | DO m = surf_s, surf_e |
---|
| 402 | k = surf_usm_v(l)%k(m) |
---|
| 403 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_uv(m) * ddy |
---|
| 404 | ENDDO |
---|
| 405 | ENDDO |
---|
[1] | 406 | ! |
---|
[2232] | 407 | !-- Compute vertical diffusion. In case of simulating a surface layer, |
---|
| 408 | !-- respective grid diffusive fluxes are masked (flag 8) within this |
---|
| 409 | !-- loop, and added further below, else, simple gradient approach is |
---|
| 410 | !-- applied. Model top is also mask if top-momentum flux is given. |
---|
| 411 | DO k = nzb+1, nzt |
---|
| 412 | ! |
---|
| 413 | !-- Determine flags to mask topography below and above. Flag 1 is |
---|
| 414 | !-- used to mask topography in general, and flag 8 implies |
---|
| 415 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
| 416 | !-- momentum flux at model top. |
---|
| 417 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 418 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
| 419 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 420 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
| 421 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 422 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
| 423 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 424 | BTEST( wall_flags_0(k,j,i), 1 ) ) |
---|
| 425 | ! |
---|
[1] | 426 | !-- Interpolate eddy diffusivities on staggered gridpoints |
---|
[1340] | 427 | kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) ) |
---|
| 428 | kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) ) |
---|
[1] | 429 | |
---|
[1320] | 430 | tend(k,j,i) = tend(k,j,i) & |
---|
[2232] | 431 | + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
---|
| 432 | + ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
---|
| 433 | ) * rho_air_zw(k) * mask_top & |
---|
| 434 | - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) & |
---|
| 435 | + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx & |
---|
| 436 | ) * rho_air_zw(k-1) * mask_bottom & |
---|
| 437 | ) * ddzw(k) * drho_air(k) * flag |
---|
[1] | 438 | ENDDO |
---|
| 439 | |
---|
| 440 | ! |
---|
[2232] | 441 | !-- Vertical diffusion at the first surface grid points, if the |
---|
[1] | 442 | !-- momentum flux at the bottom is given by the Prandtl law or if it is |
---|
| 443 | !-- prescribed by the user. |
---|
| 444 | !-- Difference quotient of the momentum flux is not formed over half of |
---|
| 445 | !-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with |
---|
[1320] | 446 | !-- other (LES) models showed that the values of the momentum flux becomes |
---|
[1] | 447 | !-- too large in this case. |
---|
| 448 | IF ( use_surface_fluxes ) THEN |
---|
| 449 | ! |
---|
[2232] | 450 | !-- Default-type surfaces, upward-facing |
---|
| 451 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
| 452 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
| 453 | DO m = surf_s, surf_e |
---|
[1] | 454 | |
---|
[2232] | 455 | k = surf_def_h(0)%k(m) |
---|
[1] | 456 | |
---|
[2232] | 457 | tend(k,j,i) = tend(k,j,i) & |
---|
| 458 | + ( - ( - surf_def_h(0)%usws(m) ) & |
---|
| 459 | ) * ddzw(k) * drho_air(k) |
---|
| 460 | ENDDO |
---|
[102] | 461 | ! |
---|
[2232] | 462 | !-- Default-type surfaces, dowward-facing (except for model-top fluxes) |
---|
| 463 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 464 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
| 465 | DO m = surf_s, surf_e |
---|
| 466 | |
---|
| 467 | k = surf_def_h(1)%k(m) |
---|
| 468 | |
---|
| 469 | tend(k,j,i) = tend(k,j,i) & |
---|
| 470 | + ( - surf_def_h(1)%usws(m) & |
---|
| 471 | ) * ddzw(k) * drho_air(k) |
---|
| 472 | ENDDO |
---|
[102] | 473 | ! |
---|
[2232] | 474 | !-- Natural-type surfaces, upward-facing |
---|
| 475 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 476 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 477 | DO m = surf_s, surf_e |
---|
[102] | 478 | |
---|
[2232] | 479 | k = surf_lsm_h%k(m) |
---|
| 480 | |
---|
| 481 | tend(k,j,i) = tend(k,j,i) & |
---|
| 482 | + ( - ( - surf_lsm_h%usws(m) ) & |
---|
| 483 | ) * ddzw(k) * drho_air(k) |
---|
| 484 | ENDDO |
---|
| 485 | ! |
---|
| 486 | !-- Urban-type surfaces, upward-facing |
---|
| 487 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 488 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 489 | DO m = surf_s, surf_e |
---|
| 490 | |
---|
| 491 | k = surf_usm_h%k(m) |
---|
| 492 | |
---|
| 493 | tend(k,j,i) = tend(k,j,i) & |
---|
| 494 | + ( - ( - surf_usm_h%usws(m) ) & |
---|
| 495 | ) * ddzw(k) * drho_air(k) |
---|
| 496 | ENDDO |
---|
| 497 | |
---|
[102] | 498 | ENDIF |
---|
[2232] | 499 | ! |
---|
| 500 | !-- Add momentum flux at model top |
---|
[2638] | 501 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
---|
[2232] | 502 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 503 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 504 | DO m = surf_s, surf_e |
---|
[102] | 505 | |
---|
[2232] | 506 | k = surf_def_h(2)%k(m) |
---|
| 507 | |
---|
| 508 | tend(k,j,i) = tend(k,j,i) & |
---|
| 509 | + ( - surf_def_h(2)%usws(m) ) * ddzw(k) * drho_air(k) |
---|
| 510 | ENDDO |
---|
| 511 | ENDIF |
---|
| 512 | |
---|
| 513 | |
---|
[1] | 514 | END SUBROUTINE diffusion_u_ij |
---|
| 515 | |
---|
| 516 | END MODULE diffusion_u_mod |
---|