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