| [1] | 1 | MODULE diffusion_v_mod |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| [484] | 4 | ! Current revisions: |
|---|
| [1] | 5 | ! ----------------- |
|---|
| 6 | ! |
|---|
| 7 | ! Former revisions: |
|---|
| 8 | ! ----------------- |
|---|
| [3] | 9 | ! $Id: diffusion_v.f90 668 2010-12-23 13:22:58Z raasch $ |
|---|
| [39] | 10 | ! |
|---|
| [668] | 11 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
|---|
| 12 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
|---|
| 13 | ! |
|---|
| [392] | 14 | ! 366 2009-08-25 08:06:27Z raasch |
|---|
| 15 | ! bc_lr replaced by bc_lr_cyc |
|---|
| 16 | ! |
|---|
| [110] | 17 | ! 106 2007-08-16 14:30:26Z raasch |
|---|
| 18 | ! Momentumflux at top (vswst) included as boundary condition, |
|---|
| 19 | ! j loop is starting from nysv (needed for non-cyclic boundary conditions) |
|---|
| 20 | ! |
|---|
| [77] | 21 | ! 75 2007-03-22 09:54:05Z raasch |
|---|
| 22 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes, |
|---|
| 23 | ! z0 removed from argument list, vynp eliminated |
|---|
| 24 | ! |
|---|
| [39] | 25 | ! 20 2007-02-26 00:12:32Z raasch |
|---|
| 26 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
|---|
| 27 | ! |
|---|
| [3] | 28 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 29 | ! |
|---|
| [1] | 30 | ! Revision 1.15 2006/02/23 10:36:00 raasch |
|---|
| 31 | ! nzb_2d replaced by nzb_v_outer in horizontal diffusion and by nzb_v_inner |
|---|
| 32 | ! or nzb_diff_v, respectively, in vertical diffusion, |
|---|
| 33 | ! wall functions added for north and south walls, +z0 in argument list, |
|---|
| 34 | ! terms containing w(k-1,..) are removed from the Prandtl-layer equation |
|---|
| 35 | ! because they cause errors at the edges of topography |
|---|
| 36 | ! WARNING: loops containing the MAX function are still not properly vectorized! |
|---|
| 37 | ! |
|---|
| 38 | ! Revision 1.1 1997/09/12 06:24:01 raasch |
|---|
| 39 | ! Initial revision |
|---|
| 40 | ! |
|---|
| 41 | ! |
|---|
| 42 | ! Description: |
|---|
| 43 | ! ------------ |
|---|
| 44 | ! Diffusion term of the v-component |
|---|
| 45 | !------------------------------------------------------------------------------! |
|---|
| 46 | |
|---|
| [56] | 47 | USE wall_fluxes_mod |
|---|
| 48 | |
|---|
| [1] | 49 | PRIVATE |
|---|
| 50 | PUBLIC diffusion_v |
|---|
| 51 | |
|---|
| 52 | INTERFACE diffusion_v |
|---|
| 53 | MODULE PROCEDURE diffusion_v |
|---|
| 54 | MODULE PROCEDURE diffusion_v_ij |
|---|
| 55 | END INTERFACE diffusion_v |
|---|
| 56 | |
|---|
| 57 | CONTAINS |
|---|
| 58 | |
|---|
| 59 | |
|---|
| 60 | !------------------------------------------------------------------------------! |
|---|
| 61 | ! Call for all grid points |
|---|
| 62 | !------------------------------------------------------------------------------! |
|---|
| [102] | 63 | SUBROUTINE diffusion_v( ddzu, ddzw, km, km_damp_x, tend, u, v, vsws, & |
|---|
| 64 | vswst, w ) |
|---|
| [1] | 65 | |
|---|
| 66 | USE control_parameters |
|---|
| 67 | USE grid_variables |
|---|
| 68 | USE indices |
|---|
| 69 | |
|---|
| 70 | IMPLICIT NONE |
|---|
| 71 | |
|---|
| 72 | INTEGER :: i, j, k |
|---|
| [51] | 73 | REAL :: kmxm_x, kmxm_y, kmxp_x, kmxp_y, kmzm, kmzp |
|---|
| [667] | 74 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg) |
|---|
| 75 | REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) |
|---|
| [102] | 76 | REAL, DIMENSION(:,:), POINTER :: vsws, vswst |
|---|
| [1] | 77 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
|---|
| [75] | 78 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus |
|---|
| [1] | 79 | |
|---|
| [56] | 80 | ! |
|---|
| 81 | !-- First calculate horizontal momentum flux v'u' at vertical walls, |
|---|
| 82 | !-- if neccessary |
|---|
| 83 | IF ( topography /= 'flat' ) THEN |
|---|
| [75] | 84 | CALL wall_fluxes( vsus, 0.0, 1.0, 0.0, 0.0, nzb_v_inner, & |
|---|
| [56] | 85 | nzb_v_outer, wall_v ) |
|---|
| 86 | ENDIF |
|---|
| 87 | |
|---|
| [1] | 88 | DO i = nxl, nxr |
|---|
| [106] | 89 | DO j = nysv, nyn |
|---|
| [1] | 90 | ! |
|---|
| 91 | !-- Compute horizontal diffusion |
|---|
| 92 | DO k = nzb_v_outer(j,i)+1, nzt |
|---|
| 93 | ! |
|---|
| 94 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 95 | kmxp_x = 0.25 * & |
|---|
| 96 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
|---|
| 97 | kmxm_x = 0.25 * & |
|---|
| 98 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
|---|
| 99 | kmxp_y = kmxp_x |
|---|
| 100 | kmxm_y = kmxm_x |
|---|
| 101 | ! |
|---|
| 102 | !-- Increase diffusion at the outflow boundary in case of |
|---|
| 103 | !-- non-cyclic lateral boundaries. Damping is only needed for |
|---|
| 104 | !-- velocity components parallel to the outflow boundary in |
|---|
| 105 | !-- the direction normal to the outflow boundary. |
|---|
| [366] | 106 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 107 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
|---|
| 108 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
|---|
| 109 | ENDIF |
|---|
| 110 | |
|---|
| 111 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 112 | & + ( kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
|---|
| 113 | & + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
|---|
| 114 | & - kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
|---|
| 115 | & - kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
|---|
| 116 | & ) * ddx & |
|---|
| 117 | & + 2.0 * ( & |
|---|
| 118 | & km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 119 | & - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 120 | & ) * ddy2 |
|---|
| 121 | ENDDO |
|---|
| 122 | |
|---|
| 123 | ! |
|---|
| 124 | !-- Wall functions at the left and right walls, respectively |
|---|
| 125 | IF ( wall_v(j,i) /= 0.0 ) THEN |
|---|
| [51] | 126 | |
|---|
| [1] | 127 | DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i) |
|---|
| 128 | kmxp_x = 0.25 * & |
|---|
| 129 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
|---|
| 130 | kmxm_x = 0.25 * & |
|---|
| 131 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
|---|
| 132 | kmxp_y = kmxp_x |
|---|
| 133 | kmxm_y = kmxm_x |
|---|
| 134 | ! |
|---|
| 135 | !-- Increase diffusion at the outflow boundary in case of |
|---|
| 136 | !-- non-cyclic lateral boundaries. Damping is only needed for |
|---|
| 137 | !-- velocity components parallel to the outflow boundary in |
|---|
| 138 | !-- the direction normal to the outflow boundary. |
|---|
| [366] | 139 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 140 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
|---|
| 141 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
|---|
| 142 | ENDIF |
|---|
| 143 | |
|---|
| 144 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 145 | + 2.0 * ( & |
|---|
| 146 | km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 147 | - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 148 | ) * ddy2 & |
|---|
| 149 | + ( fxp(j,i) * ( & |
|---|
| 150 | kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
|---|
| 151 | + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
|---|
| 152 | ) & |
|---|
| 153 | - fxm(j,i) * ( & |
|---|
| 154 | kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
|---|
| 155 | + kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
|---|
| 156 | ) & |
|---|
| [56] | 157 | + wall_v(j,i) * vsus(k,j,i) & |
|---|
| [1] | 158 | ) * ddx |
|---|
| 159 | ENDDO |
|---|
| 160 | ENDIF |
|---|
| 161 | |
|---|
| 162 | ! |
|---|
| 163 | !-- Compute vertical diffusion. In case of simulating a Prandtl |
|---|
| 164 | !-- layer, index k starts at nzb_v_inner+2. |
|---|
| [102] | 165 | DO k = nzb_diff_v(j,i), nzt_diff |
|---|
| [1] | 166 | ! |
|---|
| 167 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 168 | kmzp = 0.25 * & |
|---|
| 169 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 170 | kmzm = 0.25 * & |
|---|
| 171 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 172 | |
|---|
| 173 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 174 | & + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 175 | & + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 176 | & ) & |
|---|
| 177 | & - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
|---|
| 178 | & + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
|---|
| 179 | & ) & |
|---|
| 180 | & ) * ddzw(k) |
|---|
| 181 | ENDDO |
|---|
| 182 | |
|---|
| 183 | ! |
|---|
| 184 | !-- Vertical diffusion at the first grid point above the surface, |
|---|
| 185 | !-- if the momentum flux at the bottom is given by the Prandtl law |
|---|
| 186 | !-- or if it is prescribed by the user. |
|---|
| 187 | !-- Difference quotient of the momentum flux is not formed over |
|---|
| 188 | !-- half of the grid spacing (2.0*ddzw(k)) any more, since the |
|---|
| 189 | !-- comparison with other (LES) modell showed that the values of |
|---|
| 190 | !-- the momentum flux becomes too large in this case. |
|---|
| 191 | !-- The term containing w(k-1,..) (see above equation) is removed here |
|---|
| 192 | !-- because the vertical velocity is assumed to be zero at the surface. |
|---|
| 193 | IF ( use_surface_fluxes ) THEN |
|---|
| 194 | k = nzb_v_inner(j,i)+1 |
|---|
| 195 | ! |
|---|
| 196 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 197 | kmzp = 0.25 * & |
|---|
| 198 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 199 | kmzm = 0.25 * & |
|---|
| 200 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 201 | |
|---|
| 202 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 203 | & + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 204 | & ) * ddzw(k) & |
|---|
| [102] | 205 | & + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| [1] | 206 | & + vsws(j,i) & |
|---|
| 207 | & ) * ddzw(k) |
|---|
| 208 | ENDIF |
|---|
| 209 | |
|---|
| [102] | 210 | ! |
|---|
| 211 | !-- Vertical diffusion at the first gridpoint below the top boundary, |
|---|
| 212 | !-- if the momentum flux at the top is prescribed by the user |
|---|
| [103] | 213 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
|---|
| [102] | 214 | k = nzt |
|---|
| 215 | ! |
|---|
| 216 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 217 | kmzp = 0.25 * & |
|---|
| 218 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 219 | kmzm = 0.25 * & |
|---|
| 220 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 221 | |
|---|
| 222 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 223 | & - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
|---|
| 224 | & ) * ddzw(k) & |
|---|
| 225 | & + ( -vswst(j,i) & |
|---|
| 226 | & - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
|---|
| 227 | & ) * ddzw(k) |
|---|
| 228 | ENDIF |
|---|
| 229 | |
|---|
| [1] | 230 | ENDDO |
|---|
| 231 | ENDDO |
|---|
| 232 | |
|---|
| 233 | END SUBROUTINE diffusion_v |
|---|
| 234 | |
|---|
| 235 | |
|---|
| 236 | !------------------------------------------------------------------------------! |
|---|
| 237 | ! Call for grid point i,j |
|---|
| 238 | !------------------------------------------------------------------------------! |
|---|
| 239 | SUBROUTINE diffusion_v_ij( i, j, ddzu, ddzw, km, km_damp_x, tend, u, v, & |
|---|
| [102] | 240 | vsws, vswst, w ) |
|---|
| [1] | 241 | |
|---|
| 242 | USE control_parameters |
|---|
| 243 | USE grid_variables |
|---|
| 244 | USE indices |
|---|
| 245 | |
|---|
| 246 | IMPLICIT NONE |
|---|
| 247 | |
|---|
| 248 | INTEGER :: i, j, k |
|---|
| [51] | 249 | REAL :: kmxm_x, kmxm_y, kmxp_x, kmxp_y, kmzm, kmzp |
|---|
| [667] | 250 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg) |
|---|
| 251 | REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) |
|---|
| [51] | 252 | REAL, DIMENSION(nzb:nzt+1) :: vsus |
|---|
| [102] | 253 | REAL, DIMENSION(:,:), POINTER :: vsws, vswst |
|---|
| [1] | 254 | REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w |
|---|
| 255 | |
|---|
| 256 | ! |
|---|
| 257 | !-- Compute horizontal diffusion |
|---|
| 258 | DO k = nzb_v_outer(j,i)+1, nzt |
|---|
| 259 | ! |
|---|
| 260 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 261 | kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
|---|
| 262 | kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
|---|
| 263 | kmxp_y = kmxp_x |
|---|
| 264 | kmxm_y = kmxm_x |
|---|
| 265 | ! |
|---|
| 266 | !-- Increase diffusion at the outflow boundary in case of non-cyclic |
|---|
| 267 | !-- lateral boundaries. Damping is only needed for velocity components |
|---|
| 268 | !-- parallel to the outflow boundary in the direction normal to the |
|---|
| 269 | !-- outflow boundary. |
|---|
| [366] | 270 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 271 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
|---|
| 272 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
|---|
| 273 | ENDIF |
|---|
| 274 | |
|---|
| 275 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 276 | & + ( kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
|---|
| 277 | & + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
|---|
| 278 | & - kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
|---|
| 279 | & - kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
|---|
| 280 | & ) * ddx & |
|---|
| 281 | & + 2.0 * ( & |
|---|
| 282 | & km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 283 | & - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 284 | & ) * ddy2 |
|---|
| 285 | ENDDO |
|---|
| 286 | |
|---|
| 287 | ! |
|---|
| 288 | !-- Wall functions at the left and right walls, respectively |
|---|
| 289 | IF ( wall_v(j,i) /= 0.0 ) THEN |
|---|
| [51] | 290 | |
|---|
| 291 | ! |
|---|
| 292 | !-- Calculate the horizontal momentum flux v'u' |
|---|
| 293 | CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), & |
|---|
| 294 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 295 | |
|---|
| [1] | 296 | DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i) |
|---|
| 297 | kmxp_x = 0.25 * & |
|---|
| 298 | ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) ) |
|---|
| 299 | kmxm_x = 0.25 * & |
|---|
| 300 | ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) ) |
|---|
| 301 | kmxp_y = kmxp_x |
|---|
| 302 | kmxm_y = kmxm_x |
|---|
| 303 | ! |
|---|
| 304 | !-- Increase diffusion at the outflow boundary in case of |
|---|
| 305 | !-- non-cyclic lateral boundaries. Damping is only needed for |
|---|
| 306 | !-- velocity components parallel to the outflow boundary in |
|---|
| 307 | !-- the direction normal to the outflow boundary. |
|---|
| [366] | 308 | IF ( .NOT. bc_lr_cyc ) THEN |
|---|
| [1] | 309 | kmxp_x = MAX( kmxp_x, km_damp_x(i) ) |
|---|
| 310 | kmxm_x = MAX( kmxm_x, km_damp_x(i) ) |
|---|
| 311 | ENDIF |
|---|
| 312 | |
|---|
| 313 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 314 | + 2.0 * ( & |
|---|
| 315 | km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 316 | - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 317 | ) * ddy2 & |
|---|
| 318 | + ( fxp(j,i) * ( & |
|---|
| 319 | kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx & |
|---|
| 320 | + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy & |
|---|
| 321 | ) & |
|---|
| 322 | - fxm(j,i) * ( & |
|---|
| 323 | kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx & |
|---|
| 324 | + kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy & |
|---|
| 325 | ) & |
|---|
| [51] | 326 | + wall_v(j,i) * vsus(k) & |
|---|
| [1] | 327 | ) * ddx |
|---|
| 328 | ENDDO |
|---|
| 329 | ENDIF |
|---|
| 330 | |
|---|
| 331 | ! |
|---|
| 332 | !-- Compute vertical diffusion. In case of simulating a Prandtl layer, |
|---|
| 333 | !-- index k starts at nzb_v_inner+2. |
|---|
| [102] | 334 | DO k = nzb_diff_v(j,i), nzt_diff |
|---|
| [1] | 335 | ! |
|---|
| 336 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 337 | kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 338 | kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 339 | |
|---|
| 340 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 341 | & + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| 342 | & + ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 343 | & ) & |
|---|
| 344 | & - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
|---|
| 345 | & + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
|---|
| 346 | & ) & |
|---|
| 347 | & ) * ddzw(k) |
|---|
| 348 | ENDDO |
|---|
| 349 | |
|---|
| 350 | ! |
|---|
| 351 | !-- Vertical diffusion at the first grid point above the surface, if the |
|---|
| 352 | !-- momentum flux at the bottom is given by the Prandtl law or if it is |
|---|
| 353 | !-- prescribed by the user. |
|---|
| 354 | !-- Difference quotient of the momentum flux is not formed over half of |
|---|
| 355 | !-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with |
|---|
| 356 | !-- other (LES) modell showed that the values of the momentum flux becomes |
|---|
| 357 | !-- too large in this case. |
|---|
| 358 | !-- The term containing w(k-1,..) (see above equation) is removed here |
|---|
| 359 | !-- because the vertical velocity is assumed to be zero at the surface. |
|---|
| 360 | IF ( use_surface_fluxes ) THEN |
|---|
| 361 | k = nzb_v_inner(j,i)+1 |
|---|
| 362 | ! |
|---|
| 363 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 364 | kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 365 | kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 366 | |
|---|
| 367 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 368 | & + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
|---|
| 369 | & ) * ddzw(k) & |
|---|
| [102] | 370 | & + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
|---|
| [1] | 371 | & + vsws(j,i) & |
|---|
| 372 | & ) * ddzw(k) |
|---|
| 373 | ENDIF |
|---|
| 374 | |
|---|
| [102] | 375 | ! |
|---|
| 376 | !-- Vertical diffusion at the first gridpoint below the top boundary, |
|---|
| 377 | !-- if the momentum flux at the top is prescribed by the user |
|---|
| [103] | 378 | IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN |
|---|
| [102] | 379 | k = nzt |
|---|
| 380 | ! |
|---|
| 381 | !-- Interpolate eddy diffusivities on staggered gridpoints |
|---|
| 382 | kmzp = 0.25 * & |
|---|
| 383 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
|---|
| 384 | kmzm = 0.25 * & |
|---|
| 385 | ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) ) |
|---|
| 386 | |
|---|
| 387 | tend(k,j,i) = tend(k,j,i) & |
|---|
| 388 | & - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy & |
|---|
| 389 | & ) * ddzw(k) & |
|---|
| 390 | & + ( -vswst(j,i) & |
|---|
| 391 | & - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) & |
|---|
| 392 | & ) * ddzw(k) |
|---|
| 393 | ENDIF |
|---|
| 394 | |
|---|
| [1] | 395 | END SUBROUTINE diffusion_v_ij |
|---|
| 396 | |
|---|
| 397 | END MODULE diffusion_v_mod |
|---|
