| 1 | MODULE diffusion_w_mod |
|---|
| 2 | |
|---|
| 3 | !--------------------------------------------------------------------------------! |
|---|
| 4 | ! This file is part of PALM. |
|---|
| 5 | ! |
|---|
| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
|---|
| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
|---|
| 8 | ! either version 3 of the License, or (at your option) any later 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 1997-2012 Leibniz University Hannover |
|---|
| 18 | !--------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ----------------- |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: diffusion_w.f90 1132 2013-04-12 14:35:30Z witha $ |
|---|
| 27 | ! |
|---|
| 28 | ! 1128 2013-04-12 06:19:32Z raasch |
|---|
| 29 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
|---|
| 30 | ! j_north |
|---|
| 31 | ! |
|---|
| 32 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 33 | ! code put under GPL (PALM 3.9) |
|---|
| 34 | ! |
|---|
| 35 | ! 1015 2012-09-27 09:23:24Z raasch |
|---|
| 36 | ! accelerator version (*_acc) added |
|---|
| 37 | ! |
|---|
| 38 | ! 1001 2012-09-13 14:08:46Z raasch |
|---|
| 39 | ! arrays comunicated by module instead of parameter list |
|---|
| 40 | ! |
|---|
| 41 | ! 978 2012-08-09 08:28:32Z fricke |
|---|
| 42 | ! outflow damping layer removed |
|---|
| 43 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
|---|
| 44 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
|---|
| 45 | ! |
|---|
| 46 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
|---|
| 47 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
|---|
| 48 | ! |
|---|
| 49 | ! 366 2009-08-25 08:06:27Z raasch |
|---|
| 50 | ! bc_lr/bc_ns replaced by bc_lr_cyc/bc_ns_cyc |
|---|
| 51 | ! |
|---|
| 52 | ! 75 2007-03-22 09:54:05Z raasch |
|---|
| 53 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
|---|
| 54 | ! z0 removed from argument list |
|---|
| 55 | ! |
|---|
| 56 | ! 20 2007-02-26 00:12:32Z raasch |
|---|
| 57 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
|---|
| 58 | ! |
|---|
| 59 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 60 | ! |
|---|
| 61 | ! Revision 1.12 2006/02/23 10:38:03 raasch |
|---|
| 62 | ! nzb_2d replaced by nzb_w_outer, wall functions added for all vertical walls, |
|---|
| 63 | ! +z0 in argument list |
|---|
| 64 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
|---|
| 65 | ! |
|---|
| 66 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
|---|
| 67 | ! Initial revision |
|---|
| 68 | ! |
|---|
| 69 | ! |
|---|
| 70 | ! Description: |
|---|
| 71 | ! ------------ |
|---|
| 72 | ! Diffusion term of the w-component |
|---|
| 73 | !------------------------------------------------------------------------------! |
|---|
| 74 | |
|---|
| 75 | USE wall_fluxes_mod |
|---|
| 76 | |
|---|
| 77 | PRIVATE |
|---|
| 78 | PUBLIC diffusion_w, diffusion_w_acc |
|---|
| 79 | |
|---|
| 80 | INTERFACE diffusion_w |
|---|
| 81 | MODULE PROCEDURE diffusion_w |
|---|
| 82 | MODULE PROCEDURE diffusion_w_ij |
|---|
| 83 | END INTERFACE diffusion_w |
|---|
| 84 | |
|---|
| 85 | INTERFACE diffusion_w_acc |
|---|
| 86 | MODULE PROCEDURE diffusion_w_acc |
|---|
| 87 | END INTERFACE diffusion_w_acc |
|---|
| 88 | |
|---|
| 89 | CONTAINS |
|---|
| 90 | |
|---|
| 91 | |
|---|
| 92 | !------------------------------------------------------------------------------! |
|---|
| 93 | ! Call for all grid points |
|---|
| 94 | !------------------------------------------------------------------------------! |
|---|
| 95 | SUBROUTINE diffusion_w |
|---|
| 96 | |
|---|
| 97 | USE arrays_3d |
|---|
| 98 | USE control_parameters |
|---|
| 99 | USE grid_variables |
|---|
| 100 | USE indices |
|---|
| 101 | |
|---|
| 102 | IMPLICIT NONE |
|---|
| 103 | |
|---|
| 104 | INTEGER :: i, j, k |
|---|
| 105 | REAL :: kmxm, kmxp, kmym, kmyp |
|---|
| 106 | |
|---|
| 107 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
|---|
| 108 | |
|---|
| 109 | |
|---|
| 110 | ! |
|---|
| 111 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
|---|
| 112 | !-- walls, if neccessary |
|---|
| 113 | IF ( topography /= 'flat' ) THEN |
|---|
| 114 | CALL wall_fluxes( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
|---|
| 115 | nzb_w_outer, wall_w_x ) |
|---|
| 116 | CALL wall_fluxes( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
|---|
| 117 | nzb_w_outer, wall_w_y ) |
|---|
| 118 | ENDIF |
|---|
| 119 | |
|---|
| 120 | DO i = nxl, nxr |
|---|
| 121 | DO j = nys, nyn |
|---|
| 122 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
|---|
| 123 | ! |
|---|
| 124 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 125 | kmxp = 0.25 * & |
|---|
| 126 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 127 | kmxm = 0.25 * & |
|---|
| 128 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 129 | kmyp = 0.25 * & |
|---|
| 130 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 131 | kmym = 0.25 * & |
|---|
| 132 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 133 | |
|---|
| 134 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 135 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 136 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 137 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 138 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 139 | & ) * ddx & |
|---|
| 140 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 141 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 142 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 143 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 144 | & ) * ddy & |
|---|
| 145 | & + 2.0 * ( & |
|---|
| 146 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 147 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 148 | & ) * ddzu(k+1) |
|---|
| 149 | ENDDO |
|---|
| 150 | |
|---|
| 151 | ! |
|---|
| 152 | !-- Wall functions at all vertical walls, where necessary |
|---|
| 153 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
|---|
| 154 | |
|---|
| 155 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
|---|
| 156 | ! |
|---|
| 157 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 158 | kmxp = 0.25 * & |
|---|
| 159 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 160 | kmxm = 0.25 * & |
|---|
| 161 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 162 | kmyp = 0.25 * & |
|---|
| 163 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 164 | kmym = 0.25 * & |
|---|
| 165 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 166 | |
|---|
| 167 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 168 | + ( fwxp(j,i) * ( & |
|---|
| 169 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 170 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 171 | ) & |
|---|
| 172 | - fwxm(j,i) * ( & |
|---|
| 173 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 174 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 175 | ) & |
|---|
| 176 | + wall_w_x(j,i) * wsus(k,j,i) & |
|---|
| 177 | ) * ddx & |
|---|
| 178 | + ( fwyp(j,i) * ( & |
|---|
| 179 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 180 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 181 | ) & |
|---|
| 182 | - fwym(j,i) * ( & |
|---|
| 183 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 184 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 185 | ) & |
|---|
| 186 | + wall_w_y(j,i) * wsvs(k,j,i) & |
|---|
| 187 | ) * ddy & |
|---|
| 188 | + 2.0 * ( & |
|---|
| 189 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 190 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 191 | ) * ddzu(k+1) |
|---|
| 192 | ENDDO |
|---|
| 193 | ENDIF |
|---|
| 194 | |
|---|
| 195 | ENDDO |
|---|
| 196 | ENDDO |
|---|
| 197 | |
|---|
| 198 | END SUBROUTINE diffusion_w |
|---|
| 199 | |
|---|
| 200 | |
|---|
| 201 | !------------------------------------------------------------------------------! |
|---|
| 202 | ! Call for all grid points - accelerator version |
|---|
| 203 | !------------------------------------------------------------------------------! |
|---|
| 204 | SUBROUTINE diffusion_w_acc |
|---|
| 205 | |
|---|
| 206 | USE arrays_3d |
|---|
| 207 | USE control_parameters |
|---|
| 208 | USE grid_variables |
|---|
| 209 | USE indices |
|---|
| 210 | |
|---|
| 211 | IMPLICIT NONE |
|---|
| 212 | |
|---|
| 213 | INTEGER :: i, j, k |
|---|
| 214 | REAL :: kmxm, kmxp, kmym, kmyp |
|---|
| 215 | |
|---|
| 216 | !$acc declare create ( wsus, wsvs ) |
|---|
| 217 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus, wsvs |
|---|
| 218 | |
|---|
| 219 | |
|---|
| 220 | ! |
|---|
| 221 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
|---|
| 222 | !-- walls, if neccessary |
|---|
| 223 | IF ( topography /= 'flat' ) THEN |
|---|
| 224 | CALL wall_fluxes_acc( wsus, 0.0, 0.0, 0.0, 1.0, nzb_w_inner, & |
|---|
| 225 | nzb_w_outer, wall_w_x ) |
|---|
| 226 | CALL wall_fluxes_acc( wsvs, 0.0, 0.0, 1.0, 0.0, nzb_w_inner, & |
|---|
| 227 | nzb_w_outer, wall_w_y ) |
|---|
| 228 | ENDIF |
|---|
| 229 | |
|---|
| 230 | !$acc kernels present ( u, v, w, km, tend, vsws, vswst ) & |
|---|
| 231 | !$acc present ( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y ) & |
|---|
| 232 | !$acc present ( nzb_w_inner, nzb_w_outer ) |
|---|
| 233 | !$acc loop |
|---|
| 234 | DO i = i_left, i_right |
|---|
| 235 | DO j = j_south, j_north |
|---|
| 236 | !$acc loop vector( 32 ) |
|---|
| 237 | DO k = 1, nzt |
|---|
| 238 | IF ( k > nzb_w_outer(j,i) ) THEN |
|---|
| 239 | ! |
|---|
| 240 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 241 | kmxp = 0.25 * & |
|---|
| 242 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 243 | kmxm = 0.25 * & |
|---|
| 244 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 245 | kmyp = 0.25 * & |
|---|
| 246 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 247 | kmym = 0.25 * & |
|---|
| 248 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 249 | |
|---|
| 250 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 251 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 252 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 253 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 254 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 255 | & ) * ddx & |
|---|
| 256 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 257 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 258 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 259 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 260 | & ) * ddy & |
|---|
| 261 | & + 2.0 * ( & |
|---|
| 262 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 263 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 264 | & ) * ddzu(k+1) |
|---|
| 265 | ENDIF |
|---|
| 266 | ENDDO |
|---|
| 267 | |
|---|
| 268 | ! |
|---|
| 269 | !-- Wall functions at all vertical walls, where necessary |
|---|
| 270 | !$acc loop vector( 32 ) |
|---|
| 271 | DO k = 1,nzt |
|---|
| 272 | |
|---|
| 273 | IF ( k > nzb_w_inner(j,i) .AND. k <= nzb_w_outer(j,i) .AND. & |
|---|
| 274 | wall_w_x(j,i) /= 0.0 .AND. wall_w_y(j,i) /= 0.0 ) THEN |
|---|
| 275 | ! |
|---|
| 276 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 277 | kmxp = 0.25 * & |
|---|
| 278 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 279 | kmxm = 0.25 * & |
|---|
| 280 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 281 | kmyp = 0.25 * & |
|---|
| 282 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 283 | kmym = 0.25 * & |
|---|
| 284 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 285 | |
|---|
| 286 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 287 | + ( fwxp(j,i) * ( & |
|---|
| 288 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 289 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 290 | ) & |
|---|
| 291 | - fwxm(j,i) * ( & |
|---|
| 292 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 293 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 294 | ) & |
|---|
| 295 | + wall_w_x(j,i) * wsus(k,j,i) & |
|---|
| 296 | ) * ddx & |
|---|
| 297 | + ( fwyp(j,i) * ( & |
|---|
| 298 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 299 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 300 | ) & |
|---|
| 301 | - fwym(j,i) * ( & |
|---|
| 302 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 303 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 304 | ) & |
|---|
| 305 | + wall_w_y(j,i) * wsvs(k,j,i) & |
|---|
| 306 | ) * ddy & |
|---|
| 307 | + 2.0 * ( & |
|---|
| 308 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 309 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 310 | ) * ddzu(k+1) |
|---|
| 311 | ENDIF |
|---|
| 312 | ENDDO |
|---|
| 313 | |
|---|
| 314 | ENDDO |
|---|
| 315 | ENDDO |
|---|
| 316 | !$acc end kernels |
|---|
| 317 | |
|---|
| 318 | END SUBROUTINE diffusion_w_acc |
|---|
| 319 | |
|---|
| 320 | |
|---|
| 321 | !------------------------------------------------------------------------------! |
|---|
| 322 | ! Call for grid point i,j |
|---|
| 323 | !------------------------------------------------------------------------------! |
|---|
| 324 | SUBROUTINE diffusion_w_ij( i, j ) |
|---|
| 325 | |
|---|
| 326 | USE arrays_3d |
|---|
| 327 | USE control_parameters |
|---|
| 328 | USE grid_variables |
|---|
| 329 | USE indices |
|---|
| 330 | |
|---|
| 331 | IMPLICIT NONE |
|---|
| 332 | |
|---|
| 333 | INTEGER :: i, j, k |
|---|
| 334 | REAL :: kmxm, kmxp, kmym, kmyp |
|---|
| 335 | |
|---|
| 336 | REAL, DIMENSION(nzb:nzt+1) :: wsus, wsvs |
|---|
| 337 | |
|---|
| 338 | |
|---|
| 339 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
|---|
| 340 | ! |
|---|
| 341 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 342 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 343 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 344 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 345 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 346 | |
|---|
| 347 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 348 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 349 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 350 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 351 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 352 | & ) * ddx & |
|---|
| 353 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 354 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 355 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 356 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 357 | & ) * ddy & |
|---|
| 358 | & + 2.0 * ( & |
|---|
| 359 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 360 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 361 | & ) * ddzu(k+1) |
|---|
| 362 | ENDDO |
|---|
| 363 | |
|---|
| 364 | ! |
|---|
| 365 | !-- Wall functions at all vertical walls, where necessary |
|---|
| 366 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
|---|
| 367 | |
|---|
| 368 | ! |
|---|
| 369 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
|---|
| 370 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
|---|
| 371 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
|---|
| 372 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 373 | ELSE |
|---|
| 374 | wsus = 0.0 |
|---|
| 375 | ENDIF |
|---|
| 376 | |
|---|
| 377 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
|---|
| 378 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
|---|
| 379 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 380 | ELSE |
|---|
| 381 | wsvs = 0.0 |
|---|
| 382 | ENDIF |
|---|
| 383 | |
|---|
| 384 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
|---|
| 385 | ! |
|---|
| 386 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 387 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
|---|
| 388 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
|---|
| 389 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
|---|
| 390 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 391 | |
|---|
| 392 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 393 | + ( fwxp(j,i) * ( & |
|---|
| 394 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
|---|
| 395 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
|---|
| 396 | ) & |
|---|
| 397 | - fwxm(j,i) * ( & |
|---|
| 398 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
|---|
| 399 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
|---|
| 400 | ) & |
|---|
| 401 | + wall_w_x(j,i) * wsus(k) & |
|---|
| 402 | ) * ddx & |
|---|
| 403 | + ( fwyp(j,i) * ( & |
|---|
| 404 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
|---|
| 405 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
|---|
| 406 | ) & |
|---|
| 407 | - fwym(j,i) * ( & |
|---|
| 408 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 409 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 410 | ) & |
|---|
| 411 | + wall_w_y(j,i) * wsvs(k) & |
|---|
| 412 | ) * ddy & |
|---|
| 413 | + 2.0 * ( & |
|---|
| 414 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
|---|
| 415 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
|---|
| 416 | ) * ddzu(k+1) |
|---|
| 417 | ENDDO |
|---|
| 418 | ENDIF |
|---|
| 419 | |
|---|
| 420 | END SUBROUTINE diffusion_w_ij |
|---|
| 421 | |
|---|
| 422 | END MODULE diffusion_w_mod |
|---|
