| 1 | SUBROUTINE pres |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! Current revisions: |
|---|
| 5 | ! ----------------- |
|---|
| 6 | ! |
|---|
| 7 | ! |
|---|
| 8 | ! Former revisions: |
|---|
| 9 | ! ----------------- |
|---|
| 10 | ! $Id: pres.f90 779 2011-11-07 14:30:01Z raasch $ |
|---|
| 11 | ! |
|---|
| 12 | ! 778 2011-11-07 14:18:25Z fricke |
|---|
| 13 | ! New allocation of tend when multigrid is used and the collected field on PE0 |
|---|
| 14 | ! has more grid points than the subdomain of an PE. |
|---|
| 15 | ! |
|---|
| 16 | ! 719 2011-04-06 13:05:23Z gryschka |
|---|
| 17 | ! Bugfix in volume flow control for double cyclic boundary conditions |
|---|
| 18 | ! |
|---|
| 19 | ! 709 2011-03-30 09:31:40Z raasch |
|---|
| 20 | ! formatting adjustments |
|---|
| 21 | ! |
|---|
| 22 | ! 707 2011-03-29 11:39:40Z raasch |
|---|
| 23 | ! Calculation of weighted average of p is now handled in the same way |
|---|
| 24 | ! regardless of the number of ghost layers (advection scheme), |
|---|
| 25 | ! multigrid and sor method are using p_loc for iterative advancements of |
|---|
| 26 | ! pressure, |
|---|
| 27 | ! localsum calculation modified for proper OpenMP reduction, |
|---|
| 28 | ! bc_lr/ns replaced by bc_lr/ns_cyc |
|---|
| 29 | ! |
|---|
| 30 | ! 693 2011-03-08 09:..:..Z raasch |
|---|
| 31 | ! bugfix: weighting coefficient added to ibm branch |
|---|
| 32 | ! |
|---|
| 33 | ! 680 2011-02-04 23:16:06Z gryschka |
|---|
| 34 | ! bugfix: collective_wait |
|---|
| 35 | ! |
|---|
| 36 | ! 675 2011-01-19 10:56:55Z suehring |
|---|
| 37 | ! Removed bugfix while copying tend. |
|---|
| 38 | ! |
|---|
| 39 | ! 673 2011-01-18 16:19:48Z suehring |
|---|
| 40 | ! Weighting coefficients added for right computation of the pressure during |
|---|
| 41 | ! Runge-Kutta substeps. |
|---|
| 42 | ! |
|---|
| 43 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
|---|
| 44 | ! New allocation of tend when ws-scheme and multigrid is used. This is due to |
|---|
| 45 | ! reasons of perforance of the data_exchange. The same is done with p after |
|---|
| 46 | ! poismg is called. |
|---|
| 47 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no |
|---|
| 48 | ! multigrid is used. Calls of exchange_horiz are modified. |
|---|
| 49 | ! bugfix: After pressure correction no volume flow correction in case of |
|---|
| 50 | ! non-cyclic boundary conditions |
|---|
| 51 | ! (has to be done only before pressure correction) |
|---|
| 52 | ! Call of SOR routine is referenced with ddzu_pres. |
|---|
| 53 | ! |
|---|
| 54 | ! 622 2010-12-10 08:08:13Z raasch |
|---|
| 55 | ! optional barriers included in order to speed up collective operations |
|---|
| 56 | ! |
|---|
| 57 | ! 151 2008-03-07 13:42:18Z raasch |
|---|
| 58 | ! Bugfix in volume flow control for non-cyclic boundary conditions |
|---|
| 59 | ! |
|---|
| 60 | ! 106 2007-08-16 14:30:26Z raasch |
|---|
| 61 | ! Volume flow conservation added for the remaining three outflow boundaries |
|---|
| 62 | ! |
|---|
| 63 | ! 85 2007-05-11 09:35:14Z raasch |
|---|
| 64 | ! Division through dt_3d replaced by multiplication of the inverse. |
|---|
| 65 | ! For performance optimisation, this is done in the loop calculating the |
|---|
| 66 | ! divergence instead of using a seperate loop. |
|---|
| 67 | ! |
|---|
| 68 | ! 75 2007-03-22 09:54:05Z raasch |
|---|
| 69 | ! Volume flow control for non-cyclic boundary conditions added (currently only |
|---|
| 70 | ! for the north boundary!!), 2nd+3rd argument removed from exchange horiz, |
|---|
| 71 | ! mean vertical velocity is removed in case of Neumann boundary conditions |
|---|
| 72 | ! both at the bottom and the top |
|---|
| 73 | ! |
|---|
| 74 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 75 | ! |
|---|
| 76 | ! Revision 1.25 2006/04/26 13:26:12 raasch |
|---|
| 77 | ! OpenMP optimization (+localsum, threadsum) |
|---|
| 78 | ! |
|---|
| 79 | ! Revision 1.1 1997/07/24 11:24:44 raasch |
|---|
| 80 | ! Initial revision |
|---|
| 81 | ! |
|---|
| 82 | ! |
|---|
| 83 | ! Description: |
|---|
| 84 | ! ------------ |
|---|
| 85 | ! Compute the divergence of the provisional velocity field. Solve the Poisson |
|---|
| 86 | ! equation for the perturbation pressure. Compute the final velocities using |
|---|
| 87 | ! this perturbation pressure. Compute the remaining divergence. |
|---|
| 88 | !------------------------------------------------------------------------------! |
|---|
| 89 | |
|---|
| 90 | USE arrays_3d |
|---|
| 91 | USE constants |
|---|
| 92 | USE control_parameters |
|---|
| 93 | USE cpulog |
|---|
| 94 | USE grid_variables |
|---|
| 95 | USE indices |
|---|
| 96 | USE interfaces |
|---|
| 97 | USE pegrid |
|---|
| 98 | USE poisfft_mod |
|---|
| 99 | USE poisfft_hybrid_mod |
|---|
| 100 | USE statistics |
|---|
| 101 | |
|---|
| 102 | IMPLICIT NONE |
|---|
| 103 | |
|---|
| 104 | INTEGER :: i, j, k, sr |
|---|
| 105 | |
|---|
| 106 | REAL :: ddt_3d, localsum, threadsum, d_weight_pres |
|---|
| 107 | |
|---|
| 108 | REAL, DIMENSION(1:2) :: volume_flow_l, volume_flow_offset |
|---|
| 109 | REAL, DIMENSION(1:nzt) :: w_l, w_l_l |
|---|
| 110 | |
|---|
| 111 | |
|---|
| 112 | CALL cpu_log( log_point(8), 'pres', 'start' ) |
|---|
| 113 | |
|---|
| 114 | |
|---|
| 115 | ddt_3d = 1.0 / dt_3d |
|---|
| 116 | d_weight_pres = 1.0 / weight_pres(intermediate_timestep_count) |
|---|
| 117 | |
|---|
| 118 | ! |
|---|
| 119 | !-- Multigrid method expects array d to have one ghost layer. |
|---|
| 120 | !-- |
|---|
| 121 | IF ( psolver == 'multigrid' ) THEN |
|---|
| 122 | |
|---|
| 123 | DEALLOCATE( d ) |
|---|
| 124 | ALLOCATE( d(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) ) |
|---|
| 125 | |
|---|
| 126 | ! |
|---|
| 127 | !-- Since p is later used to hold the weighted average of the substeps, it |
|---|
| 128 | !-- cannot be used in the iterative solver. Therefore, its initial value is |
|---|
| 129 | !-- stored on p_loc, which is then iteratively advanced in every substep. |
|---|
| 130 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 131 | DO i = nxl-1, nxr+1 |
|---|
| 132 | DO j = nys-1, nyn+1 |
|---|
| 133 | DO k = nzb, nzt+1 |
|---|
| 134 | p_loc(k,j,i) = p(k,j,i) |
|---|
| 135 | ENDDO |
|---|
| 136 | ENDDO |
|---|
| 137 | ENDDO |
|---|
| 138 | ENDIF |
|---|
| 139 | |
|---|
| 140 | ELSEIF ( psolver == 'sor' .AND. intermediate_timestep_count == 1 ) THEN |
|---|
| 141 | |
|---|
| 142 | ! |
|---|
| 143 | !-- Since p is later used to hold the weighted average of the substeps, it |
|---|
| 144 | !-- cannot be used in the iterative solver. Therefore, its initial value is |
|---|
| 145 | !-- stored on p_loc, which is then iteratively advanced in every substep. |
|---|
| 146 | p_loc = p |
|---|
| 147 | |
|---|
| 148 | ENDIF |
|---|
| 149 | |
|---|
| 150 | ! |
|---|
| 151 | !-- Conserve the volume flow at the outflow in case of non-cyclic lateral |
|---|
| 152 | !-- boundary conditions |
|---|
| 153 | !-- WARNING: so far, this conservation does not work at the left/south |
|---|
| 154 | !-- boundary if the topography at the inflow differs from that at the |
|---|
| 155 | !-- outflow! For this case, volume_flow_area needs adjustment! |
|---|
| 156 | ! |
|---|
| 157 | !-- Left/right |
|---|
| 158 | IF ( conserve_volume_flow .AND. ( outflow_l .OR. outflow_r ) ) THEN |
|---|
| 159 | |
|---|
| 160 | volume_flow(1) = 0.0 |
|---|
| 161 | volume_flow_l(1) = 0.0 |
|---|
| 162 | |
|---|
| 163 | IF ( outflow_l ) THEN |
|---|
| 164 | i = 0 |
|---|
| 165 | ELSEIF ( outflow_r ) THEN |
|---|
| 166 | i = nx+1 |
|---|
| 167 | ENDIF |
|---|
| 168 | |
|---|
| 169 | DO j = nys, nyn |
|---|
| 170 | ! |
|---|
| 171 | !-- Sum up the volume flow through the south/north boundary |
|---|
| 172 | DO k = nzb_2d(j,i)+1, nzt |
|---|
| 173 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
|---|
| 174 | ENDDO |
|---|
| 175 | ENDDO |
|---|
| 176 | |
|---|
| 177 | #if defined( __parallel ) |
|---|
| 178 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr ) |
|---|
| 179 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 1, MPI_REAL, & |
|---|
| 180 | MPI_SUM, comm1dy, ierr ) |
|---|
| 181 | #else |
|---|
| 182 | volume_flow = volume_flow_l |
|---|
| 183 | #endif |
|---|
| 184 | volume_flow_offset(1) = ( volume_flow_initial(1) - volume_flow(1) ) & |
|---|
| 185 | / volume_flow_area(1) |
|---|
| 186 | |
|---|
| 187 | DO j = nysg, nyng |
|---|
| 188 | DO k = nzb_2d(j,i)+1, nzt |
|---|
| 189 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
|---|
| 190 | ENDDO |
|---|
| 191 | ENDDO |
|---|
| 192 | |
|---|
| 193 | ENDIF |
|---|
| 194 | |
|---|
| 195 | ! |
|---|
| 196 | !-- South/north |
|---|
| 197 | IF ( conserve_volume_flow .AND. ( outflow_n .OR. outflow_s ) ) THEN |
|---|
| 198 | |
|---|
| 199 | volume_flow(2) = 0.0 |
|---|
| 200 | volume_flow_l(2) = 0.0 |
|---|
| 201 | |
|---|
| 202 | IF ( outflow_s ) THEN |
|---|
| 203 | j = 0 |
|---|
| 204 | ELSEIF ( outflow_n ) THEN |
|---|
| 205 | j = ny+1 |
|---|
| 206 | ENDIF |
|---|
| 207 | |
|---|
| 208 | DO i = nxl, nxr |
|---|
| 209 | ! |
|---|
| 210 | !-- Sum up the volume flow through the south/north boundary |
|---|
| 211 | DO k = nzb_2d(j,i)+1, nzt |
|---|
| 212 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
|---|
| 213 | ENDDO |
|---|
| 214 | ENDDO |
|---|
| 215 | |
|---|
| 216 | #if defined( __parallel ) |
|---|
| 217 | IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr ) |
|---|
| 218 | CALL MPI_ALLREDUCE( volume_flow_l(2), volume_flow(2), 1, MPI_REAL, & |
|---|
| 219 | MPI_SUM, comm1dx, ierr ) |
|---|
| 220 | #else |
|---|
| 221 | volume_flow = volume_flow_l |
|---|
| 222 | #endif |
|---|
| 223 | volume_flow_offset(2) = ( volume_flow_initial(2) - volume_flow(2) ) & |
|---|
| 224 | / volume_flow_area(2) |
|---|
| 225 | |
|---|
| 226 | DO i = nxlg, nxrg |
|---|
| 227 | DO k = nzb_v_inner(j,i)+1, nzt |
|---|
| 228 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
|---|
| 229 | ENDDO |
|---|
| 230 | ENDDO |
|---|
| 231 | |
|---|
| 232 | ENDIF |
|---|
| 233 | |
|---|
| 234 | ! |
|---|
| 235 | !-- Remove mean vertical velocity |
|---|
| 236 | IF ( ibc_p_b == 1 .AND. ibc_p_t == 1 ) THEN |
|---|
| 237 | IF ( simulated_time > 0.0 ) THEN ! otherwise nzb_w_inner not yet known |
|---|
| 238 | w_l = 0.0; w_l_l = 0.0 |
|---|
| 239 | DO i = nxl, nxr |
|---|
| 240 | DO j = nys, nyn |
|---|
| 241 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 242 | w_l_l(k) = w_l_l(k) + w(k,j,i) |
|---|
| 243 | ENDDO |
|---|
| 244 | ENDDO |
|---|
| 245 | ENDDO |
|---|
| 246 | #if defined( __parallel ) |
|---|
| 247 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 248 | CALL MPI_ALLREDUCE( w_l_l(1), w_l(1), nzt, MPI_REAL, MPI_SUM, & |
|---|
| 249 | comm2d, ierr ) |
|---|
| 250 | #else |
|---|
| 251 | w_l = w_l_l |
|---|
| 252 | #endif |
|---|
| 253 | DO k = 1, nzt |
|---|
| 254 | w_l(k) = w_l(k) / ngp_2dh_outer(k,0) |
|---|
| 255 | ENDDO |
|---|
| 256 | DO i = nxlg, nxrg |
|---|
| 257 | DO j = nysg, nyng |
|---|
| 258 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 259 | w(k,j,i) = w(k,j,i) - w_l(k) |
|---|
| 260 | ENDDO |
|---|
| 261 | ENDDO |
|---|
| 262 | ENDDO |
|---|
| 263 | ENDIF |
|---|
| 264 | ENDIF |
|---|
| 265 | |
|---|
| 266 | ! |
|---|
| 267 | !-- Compute the divergence of the provisional velocity field. |
|---|
| 268 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
|---|
| 269 | |
|---|
| 270 | IF ( psolver == 'multigrid' ) THEN |
|---|
| 271 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
|---|
| 272 | DO i = nxl-1, nxr+1 |
|---|
| 273 | DO j = nys-1, nyn+1 |
|---|
| 274 | DO k = nzb, nzt+1 |
|---|
| 275 | d(k,j,i) = 0.0 |
|---|
| 276 | ENDDO |
|---|
| 277 | ENDDO |
|---|
| 278 | ENDDO |
|---|
| 279 | ELSE |
|---|
| 280 | !$OMP PARALLEL DO SCHEDULE( STATIC ) |
|---|
| 281 | DO i = nxl, nxra |
|---|
| 282 | DO j = nys, nyna |
|---|
| 283 | DO k = nzb+1, nzta |
|---|
| 284 | d(k,j,i) = 0.0 |
|---|
| 285 | ENDDO |
|---|
| 286 | ENDDO |
|---|
| 287 | ENDDO |
|---|
| 288 | ENDIF |
|---|
| 289 | |
|---|
| 290 | localsum = 0.0 |
|---|
| 291 | threadsum = 0.0 |
|---|
| 292 | |
|---|
| 293 | #if defined( __ibm ) |
|---|
| 294 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 295 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 296 | DO i = nxl, nxr |
|---|
| 297 | DO j = nys, nyn |
|---|
| 298 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 299 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 300 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 301 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
|---|
| 302 | * d_weight_pres |
|---|
| 303 | ENDDO |
|---|
| 304 | ! |
|---|
| 305 | !-- Additional pressure boundary condition at the bottom boundary for |
|---|
| 306 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
|---|
| 307 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
|---|
| 308 | !-- This condition must not be applied at the start of a run, because then |
|---|
| 309 | !-- flow_statistics has not yet been called and thus sums = 0. |
|---|
| 310 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
|---|
| 311 | k = nzb_s_inner(j,i) |
|---|
| 312 | d(k+1,j,i) = d(k+1,j,i) + ( & |
|---|
| 313 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
|---|
| 314 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
|---|
| 315 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
|---|
| 316 | sums(k+1,4) & |
|---|
| 317 | ) * ddzw(k+1) * ddt_3d * d_weight_pres |
|---|
| 318 | ENDIF |
|---|
| 319 | |
|---|
| 320 | ! |
|---|
| 321 | !-- Compute possible PE-sum of divergences for flow_statistics |
|---|
| 322 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 323 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 324 | ENDDO |
|---|
| 325 | |
|---|
| 326 | ENDDO |
|---|
| 327 | ENDDO |
|---|
| 328 | |
|---|
| 329 | localsum = localsum + threadsum * dt_3d * & |
|---|
| 330 | weight_pres(intermediate_timestep_count) |
|---|
| 331 | |
|---|
| 332 | !$OMP END PARALLEL |
|---|
| 333 | #else |
|---|
| 334 | IF ( ibc_p_b == 2 .AND. sums(nzb+1,4) /= 0.0 ) THEN |
|---|
| 335 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 336 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 337 | DO i = nxl, nxr |
|---|
| 338 | DO j = nys, nyn |
|---|
| 339 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 340 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 341 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 342 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
|---|
| 343 | * d_weight_pres |
|---|
| 344 | ENDDO |
|---|
| 345 | ENDDO |
|---|
| 346 | ! |
|---|
| 347 | !-- Additional pressure boundary condition at the bottom boundary for |
|---|
| 348 | !-- inhomogeneous Prandtl layer heat fluxes and temperatures, respectively |
|---|
| 349 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0. |
|---|
| 350 | !-- This condition must not be applied at the start of a run, because then |
|---|
| 351 | !-- flow_statistics has not yet been called and thus sums = 0. |
|---|
| 352 | DO j = nys, nyn |
|---|
| 353 | k = nzb_s_inner(j,i) |
|---|
| 354 | d(k+1,j,i) = d(k+1,j,i) + ( & |
|---|
| 355 | ( usws(j,i+1) - usws(j,i) ) * ddx & |
|---|
| 356 | + ( vsws(j+1,i) - vsws(j,i) ) * ddy & |
|---|
| 357 | - g * ( pt(k+1,j,i) - sums(k+1,4) ) / & |
|---|
| 358 | sums(k+1,4) & |
|---|
| 359 | ) * ddzw(k+1) * ddt_3d & |
|---|
| 360 | * d_weight_pres |
|---|
| 361 | ENDDO |
|---|
| 362 | ENDDO |
|---|
| 363 | !$OMP END PARALLEL |
|---|
| 364 | |
|---|
| 365 | ELSE |
|---|
| 366 | |
|---|
| 367 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 368 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 369 | DO i = nxl, nxr |
|---|
| 370 | DO j = nys, nyn |
|---|
| 371 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 372 | d(k,j,i) = ( ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 373 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 374 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) ) * ddt_3d & |
|---|
| 375 | * d_weight_pres |
|---|
| 376 | ENDDO |
|---|
| 377 | ENDDO |
|---|
| 378 | ENDDO |
|---|
| 379 | !$OMP END PARALLEL |
|---|
| 380 | |
|---|
| 381 | ENDIF |
|---|
| 382 | |
|---|
| 383 | ! |
|---|
| 384 | !-- Compute possible PE-sum of divergences for flow_statistics |
|---|
| 385 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 386 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 387 | DO i = nxl, nxr |
|---|
| 388 | DO j = nys, nyn |
|---|
| 389 | DO k = nzb+1, nzt |
|---|
| 390 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 391 | ENDDO |
|---|
| 392 | ENDDO |
|---|
| 393 | ENDDO |
|---|
| 394 | localsum = localsum + threadsum * dt_3d * & |
|---|
| 395 | weight_pres(intermediate_timestep_count) |
|---|
| 396 | !$OMP END PARALLEL |
|---|
| 397 | #endif |
|---|
| 398 | |
|---|
| 399 | ! |
|---|
| 400 | !-- For completeness, set the divergence sum of all statistic regions to those |
|---|
| 401 | !-- of the total domain |
|---|
| 402 | sums_divold_l(0:statistic_regions) = localsum |
|---|
| 403 | |
|---|
| 404 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
|---|
| 405 | |
|---|
| 406 | ! |
|---|
| 407 | !-- Compute the pressure perturbation solving the Poisson equation |
|---|
| 408 | IF ( psolver(1:7) == 'poisfft' ) THEN |
|---|
| 409 | |
|---|
| 410 | ! |
|---|
| 411 | !-- Enlarge the size of tend, used as a working array for the transpositions |
|---|
| 412 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
|---|
| 413 | DEALLOCATE( tend ) |
|---|
| 414 | ALLOCATE( tend(1:nza,nys:nyna,nxl:nxra) ) |
|---|
| 415 | ENDIF |
|---|
| 416 | |
|---|
| 417 | ! |
|---|
| 418 | !-- Solve Poisson equation via FFT and solution of tridiagonal matrices |
|---|
| 419 | IF ( psolver == 'poisfft' ) THEN |
|---|
| 420 | ! |
|---|
| 421 | !-- Solver for 2d-decomposition |
|---|
| 422 | CALL poisfft( d, tend ) |
|---|
| 423 | ELSEIF ( psolver == 'poisfft_hybrid' ) THEN |
|---|
| 424 | ! |
|---|
| 425 | !-- Solver for 1d-decomposition (using MPI and OpenMP). |
|---|
| 426 | !-- The old hybrid-solver is still included here, as long as there |
|---|
| 427 | !-- are some optimization problems in poisfft |
|---|
| 428 | CALL poisfft_hybrid( d ) |
|---|
| 429 | ENDIF |
|---|
| 430 | |
|---|
| 431 | ! |
|---|
| 432 | !-- Resize tend to its normal size |
|---|
| 433 | IF ( nxra > nxr .OR. nyna > nyn .OR. nza > nz ) THEN |
|---|
| 434 | DEALLOCATE( tend ) |
|---|
| 435 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 436 | ENDIF |
|---|
| 437 | |
|---|
| 438 | ! |
|---|
| 439 | !-- Store computed perturbation pressure and set boundary condition in |
|---|
| 440 | !-- z-direction |
|---|
| 441 | !$OMP PARALLEL DO |
|---|
| 442 | DO i = nxl, nxr |
|---|
| 443 | DO j = nys, nyn |
|---|
| 444 | DO k = nzb+1, nzt |
|---|
| 445 | tend(k,j,i) = d(k,j,i) |
|---|
| 446 | ENDDO |
|---|
| 447 | ENDDO |
|---|
| 448 | ENDDO |
|---|
| 449 | |
|---|
| 450 | ! |
|---|
| 451 | !-- Bottom boundary: |
|---|
| 452 | !-- This condition is only required for internal output. The pressure |
|---|
| 453 | !-- gradient (dp(nzb+1)-dp(nzb))/dz is not used anywhere else. |
|---|
| 454 | IF ( ibc_p_b == 1 ) THEN |
|---|
| 455 | ! |
|---|
| 456 | !-- Neumann (dp/dz = 0) |
|---|
| 457 | !$OMP PARALLEL DO |
|---|
| 458 | DO i = nxlg, nxrg |
|---|
| 459 | DO j = nysg, nyng |
|---|
| 460 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
|---|
| 461 | ENDDO |
|---|
| 462 | ENDDO |
|---|
| 463 | |
|---|
| 464 | ELSEIF ( ibc_p_b == 2 ) THEN |
|---|
| 465 | ! |
|---|
| 466 | !-- Neumann condition for inhomogeneous surfaces, |
|---|
| 467 | !-- here currently still in the form of a zero gradient. Actually |
|---|
| 468 | !-- dp/dz = -(dtau13/dx + dtau23/dy) + g*pt'/pt0 would have to be used for |
|---|
| 469 | !-- the computation (cf. above: computation of divergences). |
|---|
| 470 | !$OMP PARALLEL DO |
|---|
| 471 | DO i = nxlg, nxrg |
|---|
| 472 | DO j = nysg, nyng |
|---|
| 473 | tend(nzb_s_inner(j,i),j,i) = tend(nzb_s_inner(j,i)+1,j,i) |
|---|
| 474 | ENDDO |
|---|
| 475 | ENDDO |
|---|
| 476 | |
|---|
| 477 | ELSE |
|---|
| 478 | ! |
|---|
| 479 | !-- Dirichlet |
|---|
| 480 | !$OMP PARALLEL DO |
|---|
| 481 | DO i = nxlg, nxrg |
|---|
| 482 | DO j = nysg, nyng |
|---|
| 483 | tend(nzb_s_inner(j,i),j,i) = 0.0 |
|---|
| 484 | ENDDO |
|---|
| 485 | ENDDO |
|---|
| 486 | |
|---|
| 487 | ENDIF |
|---|
| 488 | |
|---|
| 489 | ! |
|---|
| 490 | !-- Top boundary |
|---|
| 491 | IF ( ibc_p_t == 1 ) THEN |
|---|
| 492 | ! |
|---|
| 493 | !-- Neumann |
|---|
| 494 | !$OMP PARALLEL DO |
|---|
| 495 | DO i = nxlg, nxrg |
|---|
| 496 | DO j = nysg, nyng |
|---|
| 497 | tend(nzt+1,j,i) = tend(nzt,j,i) |
|---|
| 498 | ENDDO |
|---|
| 499 | ENDDO |
|---|
| 500 | |
|---|
| 501 | ELSE |
|---|
| 502 | ! |
|---|
| 503 | !-- Dirichlet |
|---|
| 504 | !$OMP PARALLEL DO |
|---|
| 505 | DO i = nxlg, nxrg |
|---|
| 506 | DO j = nysg, nyng |
|---|
| 507 | tend(nzt+1,j,i) = 0.0 |
|---|
| 508 | ENDDO |
|---|
| 509 | ENDDO |
|---|
| 510 | |
|---|
| 511 | ENDIF |
|---|
| 512 | |
|---|
| 513 | ! |
|---|
| 514 | !-- Exchange boundaries for p |
|---|
| 515 | CALL exchange_horiz( tend, nbgp ) |
|---|
| 516 | |
|---|
| 517 | ELSEIF ( psolver == 'sor' ) THEN |
|---|
| 518 | |
|---|
| 519 | ! |
|---|
| 520 | !-- Solve Poisson equation for perturbation pressure using SOR-Red/Black |
|---|
| 521 | !-- scheme |
|---|
| 522 | CALL sor( d, ddzu_pres, ddzw, p_loc ) |
|---|
| 523 | tend = p_loc |
|---|
| 524 | |
|---|
| 525 | ELSEIF ( psolver == 'multigrid' ) THEN |
|---|
| 526 | |
|---|
| 527 | ! |
|---|
| 528 | !-- Solve Poisson equation for perturbation pressure using Multigrid scheme, |
|---|
| 529 | !-- array tend is used to store the residuals, logical exchange_mg is used |
|---|
| 530 | !-- to discern data exchange in multigrid ( 1 ghostpoint ) and normal grid |
|---|
| 531 | !-- ( nbgp ghost points ). |
|---|
| 532 | |
|---|
| 533 | !-- If the number of grid points of the gathered grid, which is collected |
|---|
| 534 | !-- on PE0, is larger than the number of grid points of an PE, than array |
|---|
| 535 | !-- tend will be enlarged. |
|---|
| 536 | IF ( gathered_size > subdomain_size ) THEN |
|---|
| 537 | DEALLOCATE( tend ) |
|---|
| 538 | ALLOCATE( tend(nzb:nzt_mg(mg_switch_to_pe0_level)+1,nys_mg( & |
|---|
| 539 | mg_switch_to_pe0_level)-1:nyn_mg(mg_switch_to_pe0_level)+1,& |
|---|
| 540 | nxl_mg(mg_switch_to_pe0_level)-1:nxr_mg( & |
|---|
| 541 | mg_switch_to_pe0_level)+1) ) |
|---|
| 542 | ENDIF |
|---|
| 543 | |
|---|
| 544 | CALL poismg( tend ) |
|---|
| 545 | |
|---|
| 546 | IF ( gathered_size > subdomain_size ) THEN |
|---|
| 547 | DEALLOCATE( tend ) |
|---|
| 548 | ALLOCATE( tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 549 | ENDIF |
|---|
| 550 | |
|---|
| 551 | ! |
|---|
| 552 | !-- Restore perturbation pressure on tend because this array is used |
|---|
| 553 | !-- further below to correct the velocity fields |
|---|
| 554 | DO i = nxl-1, nxr+1 |
|---|
| 555 | DO j = nys-1, nyn+1 |
|---|
| 556 | DO k = nzb, nzt+1 |
|---|
| 557 | tend(k,j,i) = p_loc(k,j,i) |
|---|
| 558 | ENDDO |
|---|
| 559 | ENDDO |
|---|
| 560 | ENDDO |
|---|
| 561 | |
|---|
| 562 | ENDIF |
|---|
| 563 | |
|---|
| 564 | ! |
|---|
| 565 | !-- Store perturbation pressure on array p, used for pressure data output. |
|---|
| 566 | !-- Ghost layers are added in the output routines (except sor-method: see below) |
|---|
| 567 | IF ( intermediate_timestep_count == 1 ) THEN |
|---|
| 568 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 569 | !$OMP DO |
|---|
| 570 | DO i = nxl-1, nxr+1 |
|---|
| 571 | DO j = nys-1, nyn+1 |
|---|
| 572 | DO k = nzb, nzt+1 |
|---|
| 573 | p(k,j,i) = tend(k,j,i) * & |
|---|
| 574 | weight_substep(intermediate_timestep_count) |
|---|
| 575 | ENDDO |
|---|
| 576 | ENDDO |
|---|
| 577 | ENDDO |
|---|
| 578 | !$OMP END PARALLEL |
|---|
| 579 | |
|---|
| 580 | ELSE |
|---|
| 581 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 582 | !$OMP DO |
|---|
| 583 | DO i = nxl-1, nxr+1 |
|---|
| 584 | DO j = nys-1, nyn+1 |
|---|
| 585 | DO k = nzb, nzt+1 |
|---|
| 586 | p(k,j,i) = p(k,j,i) + tend(k,j,i) * & |
|---|
| 587 | weight_substep(intermediate_timestep_count) |
|---|
| 588 | ENDDO |
|---|
| 589 | ENDDO |
|---|
| 590 | ENDDO |
|---|
| 591 | !$OMP END PARALLEL |
|---|
| 592 | |
|---|
| 593 | ENDIF |
|---|
| 594 | |
|---|
| 595 | ! |
|---|
| 596 | !-- SOR-method needs ghost layers for the next timestep |
|---|
| 597 | IF ( psolver == 'sor' ) CALL exchange_horiz( p, nbgp ) |
|---|
| 598 | |
|---|
| 599 | ! |
|---|
| 600 | !-- Correction of the provisional velocities with the current perturbation |
|---|
| 601 | !-- pressure just computed |
|---|
| 602 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .OR. bc_ns_cyc ) ) THEN |
|---|
| 603 | volume_flow_l(1) = 0.0 |
|---|
| 604 | volume_flow_l(2) = 0.0 |
|---|
| 605 | ENDIF |
|---|
| 606 | |
|---|
| 607 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 608 | !$OMP DO |
|---|
| 609 | DO i = nxl, nxr |
|---|
| 610 | DO j = nys, nyn |
|---|
| 611 | DO k = nzb_w_inner(j,i)+1, nzt |
|---|
| 612 | w(k,j,i) = w(k,j,i) - dt_3d * & |
|---|
| 613 | ( tend(k+1,j,i) - tend(k,j,i) ) * ddzu(k+1) * & |
|---|
| 614 | weight_pres(intermediate_timestep_count) |
|---|
| 615 | ENDDO |
|---|
| 616 | DO k = nzb_u_inner(j,i)+1, nzt |
|---|
| 617 | u(k,j,i) = u(k,j,i) - dt_3d * & |
|---|
| 618 | ( tend(k,j,i) - tend(k,j,i-1) ) * ddx * & |
|---|
| 619 | weight_pres(intermediate_timestep_count) |
|---|
| 620 | ENDDO |
|---|
| 621 | DO k = nzb_v_inner(j,i)+1, nzt |
|---|
| 622 | v(k,j,i) = v(k,j,i) - dt_3d * & |
|---|
| 623 | ( tend(k,j,i) - tend(k,j-1,i) ) * ddy * & |
|---|
| 624 | weight_pres(intermediate_timestep_count) |
|---|
| 625 | ENDDO |
|---|
| 626 | ! |
|---|
| 627 | !-- Sum up the volume flow through the right and north boundary |
|---|
| 628 | IF ( conserve_volume_flow .AND. bc_lr_cyc .AND. bc_ns_cyc .AND. & |
|---|
| 629 | i == nx ) THEN |
|---|
| 630 | !$OMP CRITICAL |
|---|
| 631 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 632 | volume_flow_l(1) = volume_flow_l(1) + u(k,j,i) * dzw(k) |
|---|
| 633 | ENDDO |
|---|
| 634 | !$OMP END CRITICAL |
|---|
| 635 | ENDIF |
|---|
| 636 | IF ( conserve_volume_flow .AND. bc_ns_cyc .AND. bc_lr_cyc .AND. & |
|---|
| 637 | j == ny ) THEN |
|---|
| 638 | !$OMP CRITICAL |
|---|
| 639 | DO k = nzb_2d(j,i) + 1, nzt |
|---|
| 640 | volume_flow_l(2) = volume_flow_l(2) + v(k,j,i) * dzw(k) |
|---|
| 641 | ENDDO |
|---|
| 642 | !$OMP END CRITICAL |
|---|
| 643 | ENDIF |
|---|
| 644 | |
|---|
| 645 | ENDDO |
|---|
| 646 | ENDDO |
|---|
| 647 | !$OMP END PARALLEL |
|---|
| 648 | |
|---|
| 649 | ! |
|---|
| 650 | !-- Conserve the volume flow |
|---|
| 651 | IF ( conserve_volume_flow .AND. ( bc_lr_cyc .AND. bc_ns_cyc ) ) THEN |
|---|
| 652 | |
|---|
| 653 | #if defined( __parallel ) |
|---|
| 654 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 655 | CALL MPI_ALLREDUCE( volume_flow_l(1), volume_flow(1), 2, MPI_REAL, & |
|---|
| 656 | MPI_SUM, comm2d, ierr ) |
|---|
| 657 | #else |
|---|
| 658 | volume_flow = volume_flow_l |
|---|
| 659 | #endif |
|---|
| 660 | |
|---|
| 661 | volume_flow_offset = ( volume_flow_initial - volume_flow ) / & |
|---|
| 662 | volume_flow_area |
|---|
| 663 | |
|---|
| 664 | !$OMP PARALLEL PRIVATE (i,j,k) |
|---|
| 665 | !$OMP DO |
|---|
| 666 | DO i = nxl, nxr |
|---|
| 667 | DO j = nys, nyn |
|---|
| 668 | DO k = nzb_u_inner(j,i) + 1, nzt |
|---|
| 669 | u(k,j,i) = u(k,j,i) + volume_flow_offset(1) |
|---|
| 670 | ENDDO |
|---|
| 671 | DO k = nzb_v_inner(j,i) + 1, nzt |
|---|
| 672 | v(k,j,i) = v(k,j,i) + volume_flow_offset(2) |
|---|
| 673 | ENDDO |
|---|
| 674 | ENDDO |
|---|
| 675 | ENDDO |
|---|
| 676 | |
|---|
| 677 | !$OMP END PARALLEL |
|---|
| 678 | |
|---|
| 679 | ENDIF |
|---|
| 680 | |
|---|
| 681 | ! |
|---|
| 682 | !-- Exchange of boundaries for the velocities |
|---|
| 683 | CALL exchange_horiz( u, nbgp ) |
|---|
| 684 | CALL exchange_horiz( v, nbgp ) |
|---|
| 685 | CALL exchange_horiz( w, nbgp ) |
|---|
| 686 | |
|---|
| 687 | ! |
|---|
| 688 | !-- Compute the divergence of the corrected velocity field, |
|---|
| 689 | !-- a possible PE-sum is computed in flow_statistics |
|---|
| 690 | CALL cpu_log( log_point_s(1), 'divergence', 'start' ) |
|---|
| 691 | sums_divnew_l = 0.0 |
|---|
| 692 | |
|---|
| 693 | ! |
|---|
| 694 | !-- d must be reset to zero because it can contain nonzero values below the |
|---|
| 695 | !-- topography |
|---|
| 696 | IF ( topography /= 'flat' ) d = 0.0 |
|---|
| 697 | |
|---|
| 698 | localsum = 0.0 |
|---|
| 699 | threadsum = 0.0 |
|---|
| 700 | |
|---|
| 701 | !$OMP PARALLEL PRIVATE (i,j,k) FIRSTPRIVATE(threadsum) REDUCTION(+:localsum) |
|---|
| 702 | !$OMP DO SCHEDULE( STATIC ) |
|---|
| 703 | #if defined( __ibm ) |
|---|
| 704 | DO i = nxl, nxr |
|---|
| 705 | DO j = nys, nyn |
|---|
| 706 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 707 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 708 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 709 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 710 | ENDDO |
|---|
| 711 | DO k = nzb+1, nzt |
|---|
| 712 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 713 | ENDDO |
|---|
| 714 | ENDDO |
|---|
| 715 | ENDDO |
|---|
| 716 | #else |
|---|
| 717 | DO i = nxl, nxr |
|---|
| 718 | DO j = nys, nyn |
|---|
| 719 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 720 | d(k,j,i) = ( u(k,j,i+1) - u(k,j,i) ) * ddx + & |
|---|
| 721 | ( v(k,j+1,i) - v(k,j,i) ) * ddy + & |
|---|
| 722 | ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 723 | threadsum = threadsum + ABS( d(k,j,i) ) |
|---|
| 724 | ENDDO |
|---|
| 725 | ENDDO |
|---|
| 726 | ENDDO |
|---|
| 727 | #endif |
|---|
| 728 | |
|---|
| 729 | localsum = localsum + threadsum |
|---|
| 730 | !$OMP END PARALLEL |
|---|
| 731 | |
|---|
| 732 | ! |
|---|
| 733 | !-- For completeness, set the divergence sum of all statistic regions to those |
|---|
| 734 | !-- of the total domain |
|---|
| 735 | sums_divnew_l(0:statistic_regions) = localsum |
|---|
| 736 | |
|---|
| 737 | CALL cpu_log( log_point_s(1), 'divergence', 'stop' ) |
|---|
| 738 | |
|---|
| 739 | CALL cpu_log( log_point(8), 'pres', 'stop' ) |
|---|
| 740 | |
|---|
| 741 | |
|---|
| 742 | |
|---|
| 743 | END SUBROUTINE pres |
|---|
