| 1 | !> @file diffusion_w.f90 |
|---|
| 2 | !------------------------------------------------------------------------------! |
|---|
| 3 | ! This file is part of the PALM model system. |
|---|
| 4 | ! |
|---|
| 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. |
|---|
| 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 | ! |
|---|
| 17 | ! Copyright 1997-2018 Leibniz Universitaet Hannover |
|---|
| 18 | !------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ----------------- |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: diffusion_w.f90 3547 2018-11-21 13:21:24Z sward $ |
|---|
| 27 | ! variables documented |
|---|
| 28 | ! |
|---|
| 29 | ! 3241 2018-09-12 15:02:00Z raasch |
|---|
| 30 | ! unused variables removed |
|---|
| 31 | ! |
|---|
| 32 | ! 2718 2018-01-02 08:49:38Z maronga |
|---|
| 33 | ! Corrected "Former revisions" section |
|---|
| 34 | ! |
|---|
| 35 | ! 2696 2017-12-14 17:12:51Z kanani |
|---|
| 36 | ! Change in file header (GPL part) |
|---|
| 37 | ! |
|---|
| 38 | ! 2233 2017-05-30 18:08:54Z suehring |
|---|
| 39 | ! |
|---|
| 40 | ! 2232 2017-05-30 17:47:52Z suehring |
|---|
| 41 | ! Adjustments to new topography and surface concept |
|---|
| 42 | ! |
|---|
| 43 | ! 2118 2017-01-17 16:38:49Z raasch |
|---|
| 44 | ! OpenACC version of subroutine removed |
|---|
| 45 | ! |
|---|
| 46 | ! 2037 2016-10-26 11:15:40Z knoop |
|---|
| 47 | ! Anelastic approximation implemented |
|---|
| 48 | ! |
|---|
| 49 | ! 2000 2016-08-20 18:09:15Z knoop |
|---|
| 50 | ! Forced header and separation lines into 80 columns |
|---|
| 51 | ! |
|---|
| 52 | ! 1873 2016-04-18 14:50:06Z maronga |
|---|
| 53 | ! Module renamed (removed _mod) |
|---|
| 54 | ! |
|---|
| 55 | ! 1850 2016-04-08 13:29:27Z maronga |
|---|
| 56 | ! Module renamed |
|---|
| 57 | ! |
|---|
| 58 | ! 1682 2015-10-07 23:56:08Z knoop |
|---|
| 59 | ! Code annotations made doxygen readable |
|---|
| 60 | ! |
|---|
| 61 | ! 1374 2014-04-25 12:55:07Z raasch |
|---|
| 62 | ! vsws + vswst removed from acc-present-list |
|---|
| 63 | ! |
|---|
| 64 | ! 1353 2014-04-08 15:21:23Z heinze |
|---|
| 65 | ! REAL constants provided with KIND-attribute |
|---|
| 66 | ! |
|---|
| 67 | ! 1340 2014-03-25 19:45:13Z kanani |
|---|
| 68 | ! REAL constants defined as wp-kind |
|---|
| 69 | ! |
|---|
| 70 | ! 1322 2014-03-20 16:38:49Z raasch |
|---|
| 71 | ! REAL constants defined as wp-kind |
|---|
| 72 | ! |
|---|
| 73 | ! 1320 2014-03-20 08:40:49Z raasch |
|---|
| 74 | ! ONLY-attribute added to USE-statements, |
|---|
| 75 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 76 | ! kinds are defined in new module kinds, |
|---|
| 77 | ! revision history before 2012 removed, |
|---|
| 78 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 79 | ! all variable declaration statements |
|---|
| 80 | ! |
|---|
| 81 | ! 1257 2013-11-08 15:18:40Z raasch |
|---|
| 82 | ! openacc loop and loop vector clauses removed, declare create moved after |
|---|
| 83 | ! the FORTRAN declaration statement |
|---|
| 84 | ! |
|---|
| 85 | ! 1128 2013-04-12 06:19:32Z raasch |
|---|
| 86 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
|---|
| 87 | ! j_north |
|---|
| 88 | ! |
|---|
| 89 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 90 | ! code put under GPL (PALM 3.9) |
|---|
| 91 | ! |
|---|
| 92 | ! 1015 2012-09-27 09:23:24Z raasch |
|---|
| 93 | ! accelerator version (*_acc) added |
|---|
| 94 | ! |
|---|
| 95 | ! 1001 2012-09-13 14:08:46Z raasch |
|---|
| 96 | ! arrays comunicated by module instead of parameter list |
|---|
| 97 | ! |
|---|
| 98 | ! 978 2012-08-09 08:28:32Z fricke |
|---|
| 99 | ! outflow damping layer removed |
|---|
| 100 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
|---|
| 101 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
|---|
| 102 | ! |
|---|
| 103 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
|---|
| 104 | ! Initial revision |
|---|
| 105 | ! |
|---|
| 106 | ! |
|---|
| 107 | ! Description: |
|---|
| 108 | ! ------------ |
|---|
| 109 | !> Diffusion term of the w-component |
|---|
| 110 | !------------------------------------------------------------------------------! |
|---|
| 111 | MODULE diffusion_w_mod |
|---|
| 112 | |
|---|
| 113 | |
|---|
| 114 | PRIVATE |
|---|
| 115 | PUBLIC diffusion_w |
|---|
| 116 | |
|---|
| 117 | INTERFACE diffusion_w |
|---|
| 118 | MODULE PROCEDURE diffusion_w |
|---|
| 119 | MODULE PROCEDURE diffusion_w_ij |
|---|
| 120 | END INTERFACE diffusion_w |
|---|
| 121 | |
|---|
| 122 | CONTAINS |
|---|
| 123 | |
|---|
| 124 | |
|---|
| 125 | !------------------------------------------------------------------------------! |
|---|
| 126 | ! Description: |
|---|
| 127 | ! ------------ |
|---|
| 128 | !> Call for all grid points |
|---|
| 129 | !------------------------------------------------------------------------------! |
|---|
| 130 | SUBROUTINE diffusion_w |
|---|
| 131 | |
|---|
| 132 | USE arrays_3d, & |
|---|
| 133 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
|---|
| 134 | |
|---|
| 135 | USE grid_variables, & |
|---|
| 136 | ONLY : ddx, ddy |
|---|
| 137 | |
|---|
| 138 | USE indices, & |
|---|
| 139 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
|---|
| 140 | |
|---|
| 141 | USE kinds |
|---|
| 142 | |
|---|
| 143 | USE surface_mod, & |
|---|
| 144 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
|---|
| 145 | |
|---|
| 146 | IMPLICIT NONE |
|---|
| 147 | |
|---|
| 148 | INTEGER(iwp) :: i !< running index x direction |
|---|
| 149 | INTEGER(iwp) :: j !< running index y direction |
|---|
| 150 | INTEGER(iwp) :: k !< running index z direction |
|---|
| 151 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
|---|
| 152 | INTEGER(iwp) :: m !< running index surface elements |
|---|
| 153 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
|---|
| 154 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
|---|
| 155 | |
|---|
| 156 | REAL(wp) :: flag !< flag to mask topography grid points |
|---|
| 157 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
|---|
| 158 | REAL(wp) :: kmxp !<diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
|---|
| 159 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
|---|
| 160 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
|---|
| 161 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
|---|
| 162 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
|---|
| 163 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
|---|
| 164 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
|---|
| 165 | |
|---|
| 166 | |
|---|
| 167 | |
|---|
| 168 | DO i = nxl, nxr |
|---|
| 169 | DO j = nys, nyn |
|---|
| 170 | DO k = nzb+1, nzt-1 |
|---|
| 171 | ! |
|---|
| 172 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
|---|
| 173 | flag = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 174 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
|---|
| 175 | mask_east = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 176 | BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
|---|
| 177 | mask_west = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 178 | BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
|---|
| 179 | mask_south = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 180 | BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
|---|
| 181 | mask_north = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 182 | BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
|---|
| 183 | ! |
|---|
| 184 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 185 | kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & |
|---|
| 186 | km(k+1,j,i) + km(k+1,j,i+1) ) |
|---|
| 187 | kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & |
|---|
| 188 | km(k+1,j,i) + km(k+1,j,i-1) ) |
|---|
| 189 | kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
|---|
| 190 | km(k,j+1,i) + km(k+1,j+1,i) ) |
|---|
| 191 | kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
|---|
| 192 | km(k,j-1,i) + km(k+1,j-1,i) ) |
|---|
| 193 | |
|---|
| 194 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 195 | + ( mask_east * kmxp * ( & |
|---|
| 196 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 197 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 198 | ) & |
|---|
| 199 | - mask_west * kmxm * ( & |
|---|
| 200 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 201 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 202 | ) & |
|---|
| 203 | ) * ddx * flag & |
|---|
| 204 | + ( mask_north * kmyp * ( & |
|---|
| 205 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 206 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 207 | ) & |
|---|
| 208 | - mask_south * kmym * ( & |
|---|
| 209 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 210 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 211 | ) & |
|---|
| 212 | ) * ddy * flag & |
|---|
| 213 | + 2.0_wp * ( & |
|---|
| 214 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 215 | * rho_air(k+1) & |
|---|
| 216 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 217 | * rho_air(k) & |
|---|
| 218 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
|---|
| 219 | ENDDO |
|---|
| 220 | |
|---|
| 221 | ! |
|---|
| 222 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
|---|
| 223 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
|---|
| 224 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
|---|
| 225 | !-- so far. |
|---|
| 226 | !-- Default-type surfaces |
|---|
| 227 | DO l = 0, 1 |
|---|
| 228 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 229 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 230 | DO m = surf_s, surf_e |
|---|
| 231 | k = surf_def_v(l)%k(m) |
|---|
| 232 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 233 | surf_def_v(l)%mom_flux_w(m) * ddy |
|---|
| 234 | ENDDO |
|---|
| 235 | ENDDO |
|---|
| 236 | ! |
|---|
| 237 | !-- Natural-type surfaces |
|---|
| 238 | DO l = 0, 1 |
|---|
| 239 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 240 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 241 | DO m = surf_s, surf_e |
|---|
| 242 | k = surf_lsm_v(l)%k(m) |
|---|
| 243 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 244 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
|---|
| 245 | ENDDO |
|---|
| 246 | ENDDO |
|---|
| 247 | ! |
|---|
| 248 | !-- Urban-type surfaces |
|---|
| 249 | DO l = 0, 1 |
|---|
| 250 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 251 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 252 | DO m = surf_s, surf_e |
|---|
| 253 | k = surf_usm_v(l)%k(m) |
|---|
| 254 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 255 | surf_usm_v(l)%mom_flux_w(m) * ddy |
|---|
| 256 | ENDDO |
|---|
| 257 | ENDDO |
|---|
| 258 | ! |
|---|
| 259 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
|---|
| 260 | !-- surface. |
|---|
| 261 | !-- Default-type surfaces |
|---|
| 262 | DO l = 2, 3 |
|---|
| 263 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 264 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 265 | DO m = surf_s, surf_e |
|---|
| 266 | k = surf_def_v(l)%k(m) |
|---|
| 267 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 268 | surf_def_v(l)%mom_flux_w(m) * ddx |
|---|
| 269 | ENDDO |
|---|
| 270 | ENDDO |
|---|
| 271 | ! |
|---|
| 272 | !-- Natural-type surfaces |
|---|
| 273 | DO l = 2, 3 |
|---|
| 274 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 275 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 276 | DO m = surf_s, surf_e |
|---|
| 277 | k = surf_lsm_v(l)%k(m) |
|---|
| 278 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 279 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
|---|
| 280 | ENDDO |
|---|
| 281 | ENDDO |
|---|
| 282 | ! |
|---|
| 283 | !-- Urban-type surfaces |
|---|
| 284 | DO l = 2, 3 |
|---|
| 285 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 286 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 287 | DO m = surf_s, surf_e |
|---|
| 288 | k = surf_usm_v(l)%k(m) |
|---|
| 289 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 290 | surf_usm_v(l)%mom_flux_w(m) * ddx |
|---|
| 291 | ENDDO |
|---|
| 292 | ENDDO |
|---|
| 293 | |
|---|
| 294 | ENDDO |
|---|
| 295 | ENDDO |
|---|
| 296 | |
|---|
| 297 | END SUBROUTINE diffusion_w |
|---|
| 298 | |
|---|
| 299 | |
|---|
| 300 | !------------------------------------------------------------------------------! |
|---|
| 301 | ! Description: |
|---|
| 302 | ! ------------ |
|---|
| 303 | !> Call for grid point i,j |
|---|
| 304 | !------------------------------------------------------------------------------! |
|---|
| 305 | SUBROUTINE diffusion_w_ij( i, j ) |
|---|
| 306 | |
|---|
| 307 | USE arrays_3d, & |
|---|
| 308 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
|---|
| 309 | |
|---|
| 310 | USE grid_variables, & |
|---|
| 311 | ONLY : ddx, ddy |
|---|
| 312 | |
|---|
| 313 | USE indices, & |
|---|
| 314 | ONLY : nzb, nzt, wall_flags_0 |
|---|
| 315 | |
|---|
| 316 | USE kinds |
|---|
| 317 | |
|---|
| 318 | USE surface_mod, & |
|---|
| 319 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
|---|
| 320 | |
|---|
| 321 | IMPLICIT NONE |
|---|
| 322 | |
|---|
| 323 | |
|---|
| 324 | INTEGER(iwp) :: i !< running index x direction |
|---|
| 325 | INTEGER(iwp) :: j !< running index y direction |
|---|
| 326 | INTEGER(iwp) :: k !< running index z direction |
|---|
| 327 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
|---|
| 328 | INTEGER(iwp) :: m !< running index surface elements |
|---|
| 329 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
|---|
| 330 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
|---|
| 331 | |
|---|
| 332 | REAL(wp) :: flag !< flag to mask topography grid points |
|---|
| 333 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
|---|
| 334 | REAL(wp) :: kmxp !< diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
|---|
| 335 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
|---|
| 336 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
|---|
| 337 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
|---|
| 338 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
|---|
| 339 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
|---|
| 340 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
|---|
| 341 | |
|---|
| 342 | |
|---|
| 343 | DO k = nzb+1, nzt-1 |
|---|
| 344 | ! |
|---|
| 345 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
|---|
| 346 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) ) |
|---|
| 347 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
|---|
| 348 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
|---|
| 349 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
|---|
| 350 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
|---|
| 351 | ! |
|---|
| 352 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 353 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 354 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 355 | kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 356 | kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 357 | |
|---|
| 358 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 359 | + ( mask_east * kmxp * ( & |
|---|
| 360 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 361 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 362 | ) & |
|---|
| 363 | - mask_west * kmxm * ( & |
|---|
| 364 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 365 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 366 | ) & |
|---|
| 367 | ) * ddx * flag & |
|---|
| 368 | + ( mask_north * kmyp * ( & |
|---|
| 369 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 370 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 371 | ) & |
|---|
| 372 | - mask_south * kmym * ( & |
|---|
| 373 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 374 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 375 | ) & |
|---|
| 376 | ) * ddy * flag & |
|---|
| 377 | + 2.0_wp * ( & |
|---|
| 378 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 379 | * rho_air(k+1) & |
|---|
| 380 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 381 | * rho_air(k) & |
|---|
| 382 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
|---|
| 383 | ENDDO |
|---|
| 384 | ! |
|---|
| 385 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
|---|
| 386 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
|---|
| 387 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
|---|
| 388 | !-- so far. |
|---|
| 389 | !-- Default-type surfaces |
|---|
| 390 | DO l = 0, 1 |
|---|
| 391 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 392 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 393 | DO m = surf_s, surf_e |
|---|
| 394 | k = surf_def_v(l)%k(m) |
|---|
| 395 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 396 | surf_def_v(l)%mom_flux_w(m) * ddy |
|---|
| 397 | ENDDO |
|---|
| 398 | ENDDO |
|---|
| 399 | ! |
|---|
| 400 | !-- Natural-type surfaces |
|---|
| 401 | DO l = 0, 1 |
|---|
| 402 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 403 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 404 | DO m = surf_s, surf_e |
|---|
| 405 | k = surf_lsm_v(l)%k(m) |
|---|
| 406 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 407 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
|---|
| 408 | ENDDO |
|---|
| 409 | ENDDO |
|---|
| 410 | ! |
|---|
| 411 | !-- Urban-type surfaces |
|---|
| 412 | DO l = 0, 1 |
|---|
| 413 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 414 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 415 | DO m = surf_s, surf_e |
|---|
| 416 | k = surf_usm_v(l)%k(m) |
|---|
| 417 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 418 | surf_usm_v(l)%mom_flux_w(m) * ddy |
|---|
| 419 | ENDDO |
|---|
| 420 | ENDDO |
|---|
| 421 | ! |
|---|
| 422 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
|---|
| 423 | !-- surfaces. |
|---|
| 424 | !-- Default-type surfaces |
|---|
| 425 | DO l = 2, 3 |
|---|
| 426 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 427 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 428 | DO m = surf_s, surf_e |
|---|
| 429 | k = surf_def_v(l)%k(m) |
|---|
| 430 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 431 | surf_def_v(l)%mom_flux_w(m) * ddx |
|---|
| 432 | ENDDO |
|---|
| 433 | ENDDO |
|---|
| 434 | ! |
|---|
| 435 | !-- Natural-type surfaces |
|---|
| 436 | DO l = 2, 3 |
|---|
| 437 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 438 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 439 | DO m = surf_s, surf_e |
|---|
| 440 | k = surf_lsm_v(l)%k(m) |
|---|
| 441 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 442 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
|---|
| 443 | ENDDO |
|---|
| 444 | ENDDO |
|---|
| 445 | ! |
|---|
| 446 | !-- Urban-type surfaces |
|---|
| 447 | DO l = 2, 3 |
|---|
| 448 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 449 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 450 | DO m = surf_s, surf_e |
|---|
| 451 | k = surf_usm_v(l)%k(m) |
|---|
| 452 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 453 | surf_usm_v(l)%mom_flux_w(m) * ddx |
|---|
| 454 | ENDDO |
|---|
| 455 | ENDDO |
|---|
| 456 | |
|---|
| 457 | |
|---|
| 458 | END SUBROUTINE diffusion_w_ij |
|---|
| 459 | |
|---|
| 460 | END MODULE diffusion_w_mod |
|---|
