[1682] | 1 | !> @file prandtl_fluxes.f90 |
---|
[1036] | 2 | !--------------------------------------------------------------------------------! |
---|
| 3 | ! This file is part of PALM. |
---|
| 4 | ! |
---|
| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
---|
| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
---|
| 7 | ! either version 3 of the License, or (at your option) any later version. |
---|
| 8 | ! |
---|
| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
---|
| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
---|
| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
---|
| 12 | ! |
---|
| 13 | ! You should have received a copy of the GNU General Public License along with |
---|
| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
---|
| 15 | ! |
---|
[1310] | 16 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
---|
[1036] | 17 | !--------------------------------------------------------------------------------! |
---|
| 18 | ! |
---|
[484] | 19 | ! Current revisions: |
---|
[1] | 20 | ! ----------------- |
---|
[1682] | 21 | ! Code annotations made doxygen readable |
---|
[1552] | 22 | ! |
---|
| 23 | ! Former revisions: |
---|
| 24 | ! ----------------- |
---|
| 25 | ! $Id: prandtl_fluxes.f90 1682 2015-10-07 23:56:08Z knoop $ |
---|
| 26 | ! |
---|
| 27 | ! 1551 2015-03-03 14:18:16Z maronga |
---|
[1551] | 28 | ! Removed land surface model part. The surface fluxes are now always calculated |
---|
| 29 | ! within prandtl_fluxes, based on the given surface temperature/humidity (which |
---|
| 30 | ! is either provided by the land surface model, by large scale forcing data, or |
---|
| 31 | ! directly prescribed by the user. |
---|
[1341] | 32 | ! |
---|
[1497] | 33 | ! 1496 2014-12-02 17:25:50Z maronga |
---|
| 34 | ! Adapted for land surface model |
---|
| 35 | ! |
---|
[1495] | 36 | ! 1494 2014-11-21 17:14:03Z maronga |
---|
| 37 | ! Bugfixes: qs is now calculated before calculation of Rif. Ccalculation of |
---|
| 38 | ! buoyancy flux in Rif corrected (added missing humidity term), allow use of |
---|
| 39 | ! topography for coupled runs (not tested) |
---|
| 40 | ! |
---|
[1362] | 41 | ! 1361 2014-04-16 15:17:48Z hoffmann |
---|
| 42 | ! Bugfix: calculation of turbulent fluxes of rain water content (qrsws) and rain |
---|
| 43 | ! drop concentration (nrsws) added |
---|
| 44 | ! |
---|
[1341] | 45 | ! 1340 2014-03-25 19:45:13Z kanani |
---|
| 46 | ! REAL constants defined as wp-kind |
---|
| 47 | ! |
---|
[1321] | 48 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
[1320] | 49 | ! ONLY-attribute added to USE-statements, |
---|
| 50 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
| 51 | ! kinds are defined in new module kinds, |
---|
| 52 | ! old module precision_kind is removed, |
---|
| 53 | ! revision history before 2012 removed, |
---|
| 54 | ! comment fields (!:) to be used for variable explanations added to |
---|
| 55 | ! all variable declaration statements |
---|
[1] | 56 | ! |
---|
[1277] | 57 | ! 1276 2014-01-15 13:40:41Z heinze |
---|
| 58 | ! Use LSF_DATA also in case of Dirichlet bottom boundary condition for scalars |
---|
| 59 | ! |
---|
[1258] | 60 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
| 61 | ! openACC "kernels do" replaced by "kernels loop", "loop independent" added |
---|
| 62 | ! |
---|
[1037] | 63 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
| 64 | ! code put under GPL (PALM 3.9) |
---|
| 65 | ! |
---|
[1017] | 66 | ! 1015 2012-09-27 09:23:24Z raasch |
---|
| 67 | ! OpenACC statements added |
---|
| 68 | ! |
---|
[979] | 69 | ! 978 2012-08-09 08:28:32Z fricke |
---|
| 70 | ! roughness length for scalar quantities z0h added |
---|
| 71 | ! |
---|
[1] | 72 | ! Revision 1.1 1998/01/23 10:06:06 raasch |
---|
| 73 | ! Initial revision |
---|
| 74 | ! |
---|
| 75 | ! |
---|
| 76 | ! Description: |
---|
| 77 | ! ------------ |
---|
[1682] | 78 | !> Diagnostic computation of vertical fluxes in the Prandtl layer from the |
---|
| 79 | !> values of the variables at grid point k=1 |
---|
[1] | 80 | !------------------------------------------------------------------------------! |
---|
[1682] | 81 | SUBROUTINE prandtl_fluxes |
---|
| 82 | |
---|
[1] | 83 | |
---|
[1320] | 84 | USE arrays_3d, & |
---|
[1361] | 85 | ONLY: e, nr, nrs, nrsws, pt, q, qr, qrs, qrsws, qs, qsws, rif, shf, & |
---|
| 86 | ts, u, us, usws, v, vpt, vsws, zu, zw, z0, z0h |
---|
[1] | 87 | |
---|
[1320] | 88 | USE control_parameters, & |
---|
[1361] | 89 | ONLY: cloud_physics, constant_heatflux, constant_waterflux, & |
---|
| 90 | coupling_mode, g, humidity, ibc_e_b, icloud_scheme, kappa, & |
---|
| 91 | large_scale_forcing, lsf_surf, passive_scalar, precipitation, & |
---|
| 92 | pt_surface, q_surface, rif_max, rif_min, run_coupled, & |
---|
| 93 | surface_pressure |
---|
[1320] | 94 | |
---|
| 95 | USE indices, & |
---|
| 96 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_s_inner, & |
---|
| 97 | nzb_u_inner, nzb_v_inner |
---|
| 98 | |
---|
| 99 | USE kinds |
---|
| 100 | |
---|
[1] | 101 | IMPLICIT NONE |
---|
| 102 | |
---|
[1682] | 103 | INTEGER(iwp) :: i !< |
---|
| 104 | INTEGER(iwp) :: j !< |
---|
| 105 | INTEGER(iwp) :: k !< |
---|
[1] | 106 | |
---|
[1682] | 107 | LOGICAL :: coupled_run !< |
---|
[1320] | 108 | |
---|
[1682] | 109 | REAL(wp) :: a !< |
---|
| 110 | REAL(wp) :: b !< |
---|
| 111 | REAL(wp) :: e_q !< |
---|
| 112 | REAL(wp) :: rifm !< |
---|
| 113 | REAL(wp) :: uv_total !< |
---|
| 114 | REAL(wp) :: z_p !< |
---|
[1320] | 115 | |
---|
[1015] | 116 | ! |
---|
| 117 | !-- Data information for accelerators |
---|
[1361] | 118 | !$acc data present( e, nrsws, nzb_u_inner, nzb_v_inner, nzb_s_inner, pt ) & |
---|
| 119 | !$acc present( q, qs, qsws, qrsws, rif, shf, ts, u, us, usws, v ) & |
---|
| 120 | !$acc present( vpt, vsws, zu, zw, z0, z0h ) |
---|
[667] | 121 | ! |
---|
[1] | 122 | !-- Compute theta* |
---|
| 123 | IF ( constant_heatflux ) THEN |
---|
[1496] | 124 | |
---|
[1] | 125 | ! |
---|
| 126 | !-- For a given heat flux in the Prandtl layer: |
---|
| 127 | !-- for u* use the value from the previous time step |
---|
| 128 | !$OMP PARALLEL DO |
---|
[1257] | 129 | !$acc kernels loop |
---|
[667] | 130 | DO i = nxlg, nxrg |
---|
| 131 | DO j = nysg, nyng |
---|
[1340] | 132 | ts(j,i) = -shf(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
[1] | 133 | ! |
---|
| 134 | !-- ts must be limited, because otherwise overflow may occur in case of |
---|
| 135 | !-- us=0 when computing rif further below |
---|
[1340] | 136 | IF ( ts(j,i) < -1.05E5_wp ) ts(j,i) = -1.0E5_wp |
---|
| 137 | IF ( ts(j,i) > 1.0E5_wp ) ts(j,i) = 1.0E5_wp |
---|
[1] | 138 | ENDDO |
---|
| 139 | ENDDO |
---|
| 140 | |
---|
| 141 | ELSE |
---|
| 142 | ! |
---|
| 143 | !-- For a given surface temperature: |
---|
[1496] | 144 | !-- (the Richardson number is still the one from the previous time step) |
---|
[1276] | 145 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[1496] | 146 | !$OMP PARALLEL DO |
---|
| 147 | !$acc kernels loop |
---|
| 148 | DO i = nxlg, nxrg |
---|
| 149 | DO j = nysg, nyng |
---|
| 150 | k = nzb_s_inner(j,i) |
---|
| 151 | pt(k,j,i) = pt_surface |
---|
| 152 | ENDDO |
---|
| 153 | ENDDO |
---|
[1276] | 154 | ENDIF |
---|
| 155 | |
---|
[1] | 156 | !$OMP PARALLEL DO PRIVATE( a, b, k, z_p ) |
---|
[1257] | 157 | !$acc kernels loop |
---|
[667] | 158 | DO i = nxlg, nxrg |
---|
| 159 | DO j = nysg, nyng |
---|
[1] | 160 | |
---|
| 161 | k = nzb_s_inner(j,i) |
---|
| 162 | z_p = zu(k+1) - zw(k) |
---|
| 163 | |
---|
[1340] | 164 | IF ( rif(j,i) >= 0.0_wp ) THEN |
---|
[1] | 165 | ! |
---|
| 166 | !-- Stable stratification |
---|
[978] | 167 | ts(j,i) = kappa * ( pt(k+1,j,i) - pt(k,j,i) ) / ( & |
---|
| 168 | LOG( z_p / z0h(j,i) ) + & |
---|
[1340] | 169 | 5.0_wp * rif(j,i) * ( z_p - z0h(j,i) ) / z_p & |
---|
[1] | 170 | ) |
---|
| 171 | ELSE |
---|
| 172 | ! |
---|
| 173 | !-- Unstable stratification |
---|
[1340] | 174 | a = SQRT( 1.0_wp - 16.0_wp * rif(j,i) ) |
---|
| 175 | b = SQRT( 1.0_wp - 16.0_wp * rif(j,i) * z0h(j,i) / z_p ) |
---|
[187] | 176 | |
---|
[1494] | 177 | ts(j,i) = kappa * ( pt(k+1,j,i) - pt(k,j,i) ) / ( & |
---|
| 178 | LOG( z_p / z0h(j,i) ) - & |
---|
[1340] | 179 | 2.0_wp * LOG( ( 1.0_wp + a ) / ( 1.0_wp + b ) ) ) |
---|
[1] | 180 | ENDIF |
---|
| 181 | |
---|
| 182 | ENDDO |
---|
| 183 | ENDDO |
---|
| 184 | ENDIF |
---|
| 185 | |
---|
| 186 | ! |
---|
[1494] | 187 | !-- If required compute q* |
---|
| 188 | IF ( humidity .OR. passive_scalar ) THEN |
---|
| 189 | IF ( constant_waterflux ) THEN |
---|
| 190 | ! |
---|
| 191 | !-- For a given water flux in the Prandtl layer: |
---|
| 192 | !$OMP PARALLEL DO |
---|
| 193 | !$acc kernels loop |
---|
| 194 | DO i = nxlg, nxrg |
---|
| 195 | DO j = nysg, nyng |
---|
| 196 | qs(j,i) = -qsws(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
| 197 | ENDDO |
---|
| 198 | ENDDO |
---|
| 199 | |
---|
| 200 | ELSE |
---|
| 201 | coupled_run = ( coupling_mode == 'atmosphere_to_ocean' .AND. run_coupled ) |
---|
| 202 | |
---|
| 203 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[1496] | 204 | !$OMP PARALLEL DO |
---|
| 205 | !$acc kernels loop |
---|
| 206 | DO i = nxlg, nxrg |
---|
| 207 | DO j = nysg, nyng |
---|
| 208 | k = nzb_s_inner(j,i) |
---|
| 209 | q(k,j,i) = q_surface |
---|
| 210 | ENDDO |
---|
| 211 | ENDDO |
---|
[1494] | 212 | ENDIF |
---|
| 213 | |
---|
| 214 | !$OMP PARALLEL DO PRIVATE( a, b, k, z_p ) |
---|
| 215 | !$acc kernels loop independent |
---|
| 216 | DO i = nxlg, nxrg |
---|
| 217 | !$acc loop independent |
---|
| 218 | DO j = nysg, nyng |
---|
| 219 | |
---|
| 220 | k = nzb_s_inner(j,i) |
---|
| 221 | z_p = zu(k+1) - zw(k) |
---|
| 222 | |
---|
| 223 | ! |
---|
| 224 | !-- Assume saturation for atmosphere coupled to ocean (but not |
---|
| 225 | !-- in case of precursor runs) |
---|
| 226 | IF ( coupled_run ) THEN |
---|
| 227 | e_q = 6.1_wp * & |
---|
| 228 | EXP( 0.07_wp * ( MIN(pt(k,j,i),pt(k+1,j,i)) - 273.15_wp ) ) |
---|
| 229 | q(k,j,i) = 0.622_wp * e_q / ( surface_pressure - e_q ) |
---|
| 230 | ENDIF |
---|
| 231 | IF ( rif(j,i) >= 0.0_wp ) THEN |
---|
| 232 | ! |
---|
| 233 | !-- Stable stratification |
---|
| 234 | qs(j,i) = kappa * ( q(k+1,j,i) - q(k,j,i) ) / ( & |
---|
| 235 | LOG( z_p / z0h(j,i) ) + & |
---|
| 236 | 5.0_wp * rif(j,i) * ( z_p - z0h(j,i) ) / z_p & |
---|
| 237 | ) |
---|
| 238 | ELSE |
---|
| 239 | ! |
---|
| 240 | !-- Unstable stratification |
---|
| 241 | a = SQRT( 1.0_wp - 16.0_wp * rif(j,i) ) |
---|
| 242 | b = SQRT( 1.0_wp - 16.0_wp * rif(j,i) * z0h(j,i) / z_p ) |
---|
| 243 | |
---|
| 244 | qs(j,i) = kappa * ( q(k+1,j,i) - q(k,j,i) ) / ( & |
---|
| 245 | LOG( z_p / z0h(j,i) ) - & |
---|
| 246 | 2.0_wp * LOG( (1.0_wp + a ) / ( 1.0_wp + b ) ) ) |
---|
| 247 | ENDIF |
---|
| 248 | |
---|
| 249 | ENDDO |
---|
| 250 | ENDDO |
---|
| 251 | ENDIF |
---|
| 252 | ENDIF |
---|
| 253 | |
---|
| 254 | ! |
---|
[1] | 255 | !-- Compute z_p/L (corresponds to the Richardson-flux number) |
---|
[75] | 256 | IF ( .NOT. humidity ) THEN |
---|
[1] | 257 | !$OMP PARALLEL DO PRIVATE( k, z_p ) |
---|
[1257] | 258 | !$acc kernels loop |
---|
[667] | 259 | DO i = nxlg, nxrg |
---|
| 260 | DO j = nysg, nyng |
---|
[1] | 261 | k = nzb_s_inner(j,i) |
---|
| 262 | z_p = zu(k+1) - zw(k) |
---|
| 263 | rif(j,i) = z_p * kappa * g * ts(j,i) / & |
---|
[1340] | 264 | ( pt(k+1,j,i) * ( us(j,i)**2 + 1E-30_wp ) ) |
---|
[1] | 265 | ! |
---|
| 266 | !-- Limit the value range of the Richardson numbers. |
---|
| 267 | !-- This is necessary for very small velocities (u,v --> 0), because |
---|
| 268 | !-- the absolute value of rif can then become very large, which in |
---|
| 269 | !-- consequence would result in very large shear stresses and very |
---|
| 270 | !-- small momentum fluxes (both are generally unrealistic). |
---|
| 271 | IF ( rif(j,i) < rif_min ) rif(j,i) = rif_min |
---|
| 272 | IF ( rif(j,i) > rif_max ) rif(j,i) = rif_max |
---|
| 273 | ENDDO |
---|
| 274 | ENDDO |
---|
| 275 | ELSE |
---|
| 276 | !$OMP PARALLEL DO PRIVATE( k, z_p ) |
---|
[1257] | 277 | !$acc kernels loop |
---|
[667] | 278 | DO i = nxlg, nxrg |
---|
| 279 | DO j = nysg, nyng |
---|
[1] | 280 | k = nzb_s_inner(j,i) |
---|
| 281 | z_p = zu(k+1) - zw(k) |
---|
[1494] | 282 | rif(j,i) = z_p * kappa * g * & |
---|
| 283 | ( ts(j,i) + 0.61_wp * pt(k+1,j,i) * qs(j,i) + 0.61_wp & |
---|
| 284 | * q(k+1,j,i) * ts(j,i)) / & |
---|
[1340] | 285 | ( vpt(k+1,j,i) * ( us(j,i)**2 + 1E-30_wp ) ) |
---|
[1] | 286 | ! |
---|
| 287 | !-- Limit the value range of the Richardson numbers. |
---|
| 288 | !-- This is necessary for very small velocities (u,v --> 0), because |
---|
| 289 | !-- the absolute value of rif can then become very large, which in |
---|
| 290 | !-- consequence would result in very large shear stresses and very |
---|
| 291 | !-- small momentum fluxes (both are generally unrealistic). |
---|
| 292 | IF ( rif(j,i) < rif_min ) rif(j,i) = rif_min |
---|
| 293 | IF ( rif(j,i) > rif_max ) rif(j,i) = rif_max |
---|
| 294 | ENDDO |
---|
| 295 | ENDDO |
---|
| 296 | ENDIF |
---|
| 297 | |
---|
| 298 | ! |
---|
| 299 | !-- Compute u* at the scalars' grid points |
---|
| 300 | !$OMP PARALLEL DO PRIVATE( a, b, k, uv_total, z_p ) |
---|
[1257] | 301 | !$acc kernels loop |
---|
[1] | 302 | DO i = nxl, nxr |
---|
| 303 | DO j = nys, nyn |
---|
| 304 | |
---|
| 305 | k = nzb_s_inner(j,i) |
---|
| 306 | z_p = zu(k+1) - zw(k) |
---|
| 307 | |
---|
| 308 | ! |
---|
[667] | 309 | !-- Compute the absolute value of the horizontal velocity |
---|
| 310 | !-- (relative to the surface) |
---|
[1494] | 311 | uv_total = SQRT( ( 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) & |
---|
| 312 | - u(k,j,i) - u(k,j,i+1) ) )**2 + & |
---|
| 313 | ( 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) & |
---|
[1340] | 314 | - v(k,j,i) - v(k,j+1,i) ) )**2 ) |
---|
[1] | 315 | |
---|
[667] | 316 | |
---|
[1340] | 317 | IF ( rif(j,i) >= 0.0_wp ) THEN |
---|
[1] | 318 | ! |
---|
| 319 | !-- Stable stratification |
---|
[1494] | 320 | us(j,i) = kappa * uv_total / ( & |
---|
| 321 | LOG( z_p / z0(j,i) ) + & |
---|
| 322 | 5.0_wp * rif(j,i) * ( z_p - z0(j,i) ) / z_p & |
---|
[1] | 323 | ) |
---|
| 324 | ELSE |
---|
| 325 | ! |
---|
| 326 | !-- Unstable stratification |
---|
[1340] | 327 | a = SQRT( SQRT( 1.0_wp - 16.0_wp * rif(j,i) ) ) |
---|
| 328 | b = SQRT( SQRT( 1.0_wp - 16.0_wp * rif(j,i) / z_p * z0(j,i) ) ) |
---|
[187] | 329 | |
---|
[1494] | 330 | us(j,i) = kappa * uv_total / ( & |
---|
| 331 | LOG( z_p / z0(j,i) ) - & |
---|
| 332 | LOG( ( 1.0_wp + a )**2 * ( 1.0_wp + a**2 ) / ( & |
---|
| 333 | ( 1.0_wp + b )**2 * ( 1.0_wp + b**2 ) ) ) + & |
---|
| 334 | 2.0_wp * ( ATAN( a ) - ATAN( b ) ) & |
---|
[187] | 335 | ) |
---|
[1] | 336 | ENDIF |
---|
| 337 | ENDDO |
---|
| 338 | ENDDO |
---|
| 339 | |
---|
| 340 | ! |
---|
[187] | 341 | !-- Values of us at ghost point locations are needed for the evaluation of usws |
---|
| 342 | !-- and vsws. |
---|
[1015] | 343 | !$acc update host( us ) |
---|
[187] | 344 | CALL exchange_horiz_2d( us ) |
---|
[1015] | 345 | !$acc update device( us ) |
---|
| 346 | |
---|
[187] | 347 | ! |
---|
[1] | 348 | !-- Compute u'w' for the total model domain. |
---|
| 349 | !-- First compute the corresponding component of u* and square it. |
---|
| 350 | !$OMP PARALLEL DO PRIVATE( a, b, k, rifm, z_p ) |
---|
[1257] | 351 | !$acc kernels loop |
---|
[1] | 352 | DO i = nxl, nxr |
---|
| 353 | DO j = nys, nyn |
---|
| 354 | |
---|
| 355 | k = nzb_u_inner(j,i) |
---|
| 356 | z_p = zu(k+1) - zw(k) |
---|
| 357 | |
---|
| 358 | ! |
---|
| 359 | !-- Compute Richardson-flux number for this point |
---|
[1340] | 360 | rifm = 0.5_wp * ( rif(j,i-1) + rif(j,i) ) |
---|
| 361 | IF ( rifm >= 0.0_wp ) THEN |
---|
[1] | 362 | ! |
---|
| 363 | !-- Stable stratification |
---|
[1494] | 364 | usws(j,i) = kappa * ( u(k+1,j,i) - u(k,j,i) )/ ( & |
---|
| 365 | LOG( z_p / z0(j,i) ) + & |
---|
| 366 | 5.0_wp * rifm * ( z_p - z0(j,i) ) / z_p & |
---|
[1340] | 367 | ) |
---|
[1] | 368 | ELSE |
---|
| 369 | ! |
---|
| 370 | !-- Unstable stratification |
---|
[1340] | 371 | a = SQRT( SQRT( 1.0_wp - 16.0_wp * rifm ) ) |
---|
| 372 | b = SQRT( SQRT( 1.0_wp - 16.0_wp * rifm / z_p * z0(j,i) ) ) |
---|
[187] | 373 | |
---|
[1494] | 374 | usws(j,i) = kappa * ( u(k+1,j,i) - u(k,j,i) ) / ( & |
---|
| 375 | LOG( z_p / z0(j,i) ) - & |
---|
| 376 | LOG( (1.0_wp + a )**2 * ( 1.0_wp + a**2 ) / ( & |
---|
| 377 | (1.0_wp + b )**2 * ( 1.0_wp + b**2 ) ) ) + & |
---|
| 378 | 2.0_wp * ( ATAN( a ) - ATAN( b ) ) & |
---|
[1] | 379 | ) |
---|
| 380 | ENDIF |
---|
[1340] | 381 | usws(j,i) = -usws(j,i) * 0.5_wp * ( us(j,i-1) + us(j,i) ) |
---|
[1] | 382 | ENDDO |
---|
| 383 | ENDDO |
---|
| 384 | |
---|
| 385 | ! |
---|
| 386 | !-- Compute v'w' for the total model domain. |
---|
| 387 | !-- First compute the corresponding component of u* and square it. |
---|
| 388 | !$OMP PARALLEL DO PRIVATE( a, b, k, rifm, z_p ) |
---|
[1257] | 389 | !$acc kernels loop |
---|
[1] | 390 | DO i = nxl, nxr |
---|
| 391 | DO j = nys, nyn |
---|
| 392 | |
---|
| 393 | k = nzb_v_inner(j,i) |
---|
| 394 | z_p = zu(k+1) - zw(k) |
---|
| 395 | |
---|
| 396 | ! |
---|
| 397 | !-- Compute Richardson-flux number for this point |
---|
[1340] | 398 | rifm = 0.5_wp * ( rif(j-1,i) + rif(j,i) ) |
---|
| 399 | IF ( rifm >= 0.0_wp ) THEN |
---|
[1] | 400 | ! |
---|
| 401 | !-- Stable stratification |
---|
[1494] | 402 | vsws(j,i) = kappa * ( v(k+1,j,i) - v(k,j,i) ) / ( & |
---|
| 403 | LOG( z_p / z0(j,i) ) + & |
---|
| 404 | 5.0_wp * rifm * ( z_p - z0(j,i) ) / z_p & |
---|
[1340] | 405 | ) |
---|
[1] | 406 | ELSE |
---|
| 407 | ! |
---|
| 408 | !-- Unstable stratification |
---|
[1340] | 409 | a = SQRT( SQRT( 1.0_wp - 16.0_wp * rifm ) ) |
---|
| 410 | b = SQRT( SQRT( 1.0_wp - 16.0_wp * rifm / z_p * z0(j,i) ) ) |
---|
[187] | 411 | |
---|
[1494] | 412 | vsws(j,i) = kappa * ( v(k+1,j,i) - v(k,j,i) ) / ( & |
---|
| 413 | LOG( z_p / z0(j,i) ) - & |
---|
| 414 | LOG( (1.0_wp + a )**2 * ( 1.0_wp + a**2 ) / ( & |
---|
| 415 | (1.0_wp + b )**2 * ( 1.0_wp + b**2 ) ) ) + & |
---|
| 416 | 2.0_wp * ( ATAN( a ) - ATAN( b ) ) & |
---|
[1] | 417 | ) |
---|
| 418 | ENDIF |
---|
[1340] | 419 | vsws(j,i) = -vsws(j,i) * 0.5_wp * ( us(j-1,i) + us(j,i) ) |
---|
[1] | 420 | ENDDO |
---|
| 421 | ENDDO |
---|
| 422 | |
---|
| 423 | ! |
---|
[1494] | 424 | !-- If required compute qr* and nr* |
---|
| 425 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN |
---|
[1276] | 426 | |
---|
[1494] | 427 | !$OMP PARALLEL DO PRIVATE( a, b, k, z_p ) |
---|
| 428 | !$acc kernels loop independent |
---|
| 429 | DO i = nxlg, nxrg |
---|
| 430 | !$acc loop independent |
---|
| 431 | DO j = nysg, nyng |
---|
[1276] | 432 | |
---|
[1494] | 433 | k = nzb_s_inner(j,i) |
---|
| 434 | z_p = zu(k+1) - zw(k) |
---|
[1] | 435 | |
---|
[1494] | 436 | IF ( rif(j,i) >= 0.0 ) THEN |
---|
[108] | 437 | ! |
---|
[1494] | 438 | !-- Stable stratification |
---|
| 439 | qrs(j,i) = kappa * ( qr(k+1,j,i) - qr(k,j,i) ) / ( & |
---|
| 440 | LOG( z_p / z0h(j,i) ) + & |
---|
| 441 | 5.0 * rif(j,i) * ( z_p - z0h(j,i) ) / z_p ) |
---|
| 442 | nrs(j,i) = kappa * ( nr(k+1,j,i) - nr(k,j,i) ) / ( & |
---|
| 443 | LOG( z_p / z0h(j,i) ) + & |
---|
| 444 | 5.0 * rif(j,i) * ( z_p - z0h(j,i) ) / z_p ) |
---|
[1] | 445 | |
---|
[1494] | 446 | ELSE |
---|
[1361] | 447 | ! |
---|
[1494] | 448 | !-- Unstable stratification |
---|
| 449 | a = SQRT( 1.0 - 16.0 * rif(j,i) ) |
---|
| 450 | b = SQRT( 1.0 - 16.0 * rif(j,i) * z0h(j,i) / z_p ) |
---|
[1361] | 451 | |
---|
[1494] | 452 | qrs(j,i) = kappa * ( qr(k+1,j,i) - qr(k,j,i) ) / ( & |
---|
| 453 | LOG( z_p / z0h(j,i) ) - & |
---|
| 454 | 2.0 * LOG( (1.0 + a ) / ( 1.0 + b ) ) ) |
---|
| 455 | nrs(j,i) = kappa * ( nr(k+1,j,i) - nr(k,j,i) ) / ( & |
---|
| 456 | LOG( z_p / z0h(j,i) ) - & |
---|
| 457 | 2.0 * LOG( (1.0 + a ) / ( 1.0 + b ) ) ) |
---|
[1361] | 458 | |
---|
[1494] | 459 | ENDIF |
---|
[1361] | 460 | |
---|
| 461 | ENDDO |
---|
[1494] | 462 | ENDDO |
---|
[1361] | 463 | |
---|
[1] | 464 | ENDIF |
---|
| 465 | |
---|
| 466 | ! |
---|
[187] | 467 | !-- Exchange the boundaries for the momentum fluxes (only for sake of |
---|
| 468 | !-- completeness) |
---|
[1015] | 469 | !$acc update host( usws, vsws ) |
---|
[1] | 470 | CALL exchange_horiz_2d( usws ) |
---|
| 471 | CALL exchange_horiz_2d( vsws ) |
---|
[1015] | 472 | !$acc update device( usws, vsws ) |
---|
| 473 | IF ( humidity .OR. passive_scalar ) THEN |
---|
| 474 | !$acc update host( qsws ) |
---|
| 475 | CALL exchange_horiz_2d( qsws ) |
---|
| 476 | !$acc update device( qsws ) |
---|
[1361] | 477 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. & |
---|
| 478 | precipitation ) THEN |
---|
| 479 | !$acc update host( qrsws, nrsws ) |
---|
| 480 | CALL exchange_horiz_2d( qrsws ) |
---|
| 481 | CALL exchange_horiz_2d( nrsws ) |
---|
| 482 | !$acc update device( qrsws, nrsws ) |
---|
| 483 | ENDIF |
---|
[1015] | 484 | ENDIF |
---|
[1] | 485 | |
---|
| 486 | ! |
---|
| 487 | !-- Compute the vertical kinematic heat flux |
---|
[1551] | 488 | IF ( .NOT. constant_heatflux ) THEN |
---|
[1] | 489 | !$OMP PARALLEL DO |
---|
[1257] | 490 | !$acc kernels loop independent |
---|
[667] | 491 | DO i = nxlg, nxrg |
---|
[1257] | 492 | !$acc loop independent |
---|
[667] | 493 | DO j = nysg, nyng |
---|
[1] | 494 | shf(j,i) = -ts(j,i) * us(j,i) |
---|
| 495 | ENDDO |
---|
| 496 | ENDDO |
---|
| 497 | ENDIF |
---|
| 498 | |
---|
| 499 | ! |
---|
| 500 | !-- Compute the vertical water/scalar flux |
---|
[1551] | 501 | IF ( .NOT. constant_waterflux .AND. ( humidity .OR. passive_scalar ) ) THEN |
---|
[1] | 502 | !$OMP PARALLEL DO |
---|
[1257] | 503 | !$acc kernels loop independent |
---|
[667] | 504 | DO i = nxlg, nxrg |
---|
[1257] | 505 | !$acc loop independent |
---|
[667] | 506 | DO j = nysg, nyng |
---|
[1] | 507 | qsws(j,i) = -qs(j,i) * us(j,i) |
---|
| 508 | ENDDO |
---|
| 509 | ENDDO |
---|
| 510 | ENDIF |
---|
| 511 | |
---|
| 512 | ! |
---|
[1361] | 513 | !-- Compute (turbulent) fluxes of rain water content and rain drop concentartion |
---|
| 514 | IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN |
---|
| 515 | !$OMP PARALLEL DO |
---|
| 516 | !$acc kernels loop independent |
---|
| 517 | DO i = nxlg, nxrg |
---|
| 518 | !$acc loop independent |
---|
| 519 | DO j = nysg, nyng |
---|
| 520 | qrsws(j,i) = -qrs(j,i) * us(j,i) |
---|
| 521 | nrsws(j,i) = -nrs(j,i) * us(j,i) |
---|
| 522 | ENDDO |
---|
| 523 | ENDDO |
---|
| 524 | ENDIF |
---|
| 525 | |
---|
| 526 | ! |
---|
[1] | 527 | !-- Bottom boundary condition for the TKE |
---|
| 528 | IF ( ibc_e_b == 2 ) THEN |
---|
| 529 | !$OMP PARALLEL DO |
---|
[1257] | 530 | !$acc kernels loop independent |
---|
[667] | 531 | DO i = nxlg, nxrg |
---|
[1257] | 532 | !$acc loop independent |
---|
[667] | 533 | DO j = nysg, nyng |
---|
[1340] | 534 | e(nzb_s_inner(j,i)+1,j,i) = ( us(j,i) / 0.1_wp )**2 |
---|
[1] | 535 | ! |
---|
| 536 | !-- As a test: cm = 0.4 |
---|
[1340] | 537 | ! e(nzb_s_inner(j,i)+1,j,i) = ( us(j,i) / 0.4_wp )**2 |
---|
[1] | 538 | e(nzb_s_inner(j,i),j,i) = e(nzb_s_inner(j,i)+1,j,i) |
---|
| 539 | ENDDO |
---|
| 540 | ENDDO |
---|
| 541 | ENDIF |
---|
| 542 | |
---|
[1015] | 543 | !$acc end data |
---|
[1] | 544 | |
---|
| 545 | END SUBROUTINE prandtl_fluxes |
---|