| 1 | !> @file plant_canopy_model.f90 |
|---|
| 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 | ! |
|---|
| 16 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
|---|
| 17 | !--------------------------------------------------------------------------------! |
|---|
| 18 | ! |
|---|
| 19 | ! Current revisions: |
|---|
| 20 | ! ----------------- |
|---|
| 21 | ! |
|---|
| 22 | ! |
|---|
| 23 | ! Former revisions: |
|---|
| 24 | ! ----------------- |
|---|
| 25 | ! $Id: plant_canopy_model.f90 1722 2015-11-16 13:06:09Z raasch $ |
|---|
| 26 | ! |
|---|
| 27 | ! 1721 2015-11-16 12:56:48Z raasch |
|---|
| 28 | ! bugfixes: shf is reduced in areas covered with canopy only, |
|---|
| 29 | ! canopy is set on top of topography |
|---|
| 30 | ! |
|---|
| 31 | ! 1682 2015-10-07 23:56:08Z knoop |
|---|
| 32 | ! Code annotations made doxygen readable |
|---|
| 33 | ! |
|---|
| 34 | ! 1484 2014-10-21 10:53:05Z kanani |
|---|
| 35 | ! Changes due to new module structure of the plant canopy model: |
|---|
| 36 | ! module plant_canopy_model_mod now contains a subroutine for the |
|---|
| 37 | ! initialization of the canopy model (init_plant_canopy), |
|---|
| 38 | ! limitation of the canopy drag (previously accounted for by calculation of |
|---|
| 39 | ! a limiting canopy timestep for the determination of the maximum LES timestep |
|---|
| 40 | ! in subroutine timestep) is now realized by the calculation of pre-tendencies |
|---|
| 41 | ! and preliminary velocities in subroutine plant_canopy_model, |
|---|
| 42 | ! some redundant MPI communication removed in subroutine init_plant_canopy |
|---|
| 43 | ! (was previously in init_3d_model), |
|---|
| 44 | ! unnecessary 3d-arrays lad_u, lad_v, lad_w removed - lad information on the |
|---|
| 45 | ! respective grid is now provided only by lad_s (e.g. in the calculation of |
|---|
| 46 | ! the tendency terms or of cum_lai_hf), |
|---|
| 47 | ! drag_coefficient, lai, leaf_surface_concentration, |
|---|
| 48 | ! scalar_exchange_coefficient, sec and sls renamed to canopy_drag_coeff, |
|---|
| 49 | ! cum_lai_hf, leaf_surface_conc, leaf_scalar_exch_coeff, lsec and lsc, |
|---|
| 50 | ! respectively, |
|---|
| 51 | ! unnecessary 3d-arrays cdc, lsc and lsec now defined as single-value constants, |
|---|
| 52 | ! USE-statements and ONLY-lists modified accordingly |
|---|
| 53 | ! |
|---|
| 54 | ! 1340 2014-03-25 19:45:13Z kanani |
|---|
| 55 | ! REAL constants defined as wp-kind |
|---|
| 56 | ! |
|---|
| 57 | ! 1320 2014-03-20 08:40:49Z raasch |
|---|
| 58 | ! ONLY-attribute added to USE-statements, |
|---|
| 59 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 60 | ! kinds are defined in new module kinds, |
|---|
| 61 | ! old module precision_kind is removed, |
|---|
| 62 | ! revision history before 2012 removed, |
|---|
| 63 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 64 | ! all variable declaration statements |
|---|
| 65 | ! |
|---|
| 66 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 67 | ! code put under GPL (PALM 3.9) |
|---|
| 68 | ! |
|---|
| 69 | ! 138 2007-11-28 10:03:58Z letzel |
|---|
| 70 | ! Initial revision |
|---|
| 71 | ! |
|---|
| 72 | ! Description: |
|---|
| 73 | ! ------------ |
|---|
| 74 | !> 1) Initialization of the canopy model, e.g. construction of leaf area density |
|---|
| 75 | !> profile (subroutine init_plant_canopy). |
|---|
| 76 | !> 2) Calculation of sinks and sources of momentum, heat and scalar concentration |
|---|
| 77 | !> due to canopy elements (subroutine plant_canopy_model). |
|---|
| 78 | !------------------------------------------------------------------------------! |
|---|
| 79 | MODULE plant_canopy_model_mod |
|---|
| 80 | |
|---|
| 81 | USE arrays_3d, & |
|---|
| 82 | ONLY: dzu, dzw, e, q, shf, tend, u, v, w, zu, zw |
|---|
| 83 | |
|---|
| 84 | USE indices, & |
|---|
| 85 | ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, & |
|---|
| 86 | nz, nzb, nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt |
|---|
| 87 | |
|---|
| 88 | USE kinds |
|---|
| 89 | |
|---|
| 90 | |
|---|
| 91 | IMPLICIT NONE |
|---|
| 92 | |
|---|
| 93 | |
|---|
| 94 | CHARACTER (LEN=20) :: canopy_mode = 'block' !< canopy coverage |
|---|
| 95 | |
|---|
| 96 | INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index |
|---|
| 97 | INTEGER(iwp) :: & |
|---|
| 98 | lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index) |
|---|
| 99 | |
|---|
| 100 | LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func. |
|---|
| 101 | LOGICAL :: plant_canopy = .FALSE. !< switch for use of canopy model |
|---|
| 102 | |
|---|
| 103 | REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation |
|---|
| 104 | REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation |
|---|
| 105 | REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter) |
|---|
| 106 | REAL(wp) :: cdc = 0.0_wp !< canopy drag coeff. (abbreviation used in equations) |
|---|
| 107 | REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux |
|---|
| 108 | REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag |
|---|
| 109 | REAL(wp) :: lad_surface = 0.0_wp !< lad surface value |
|---|
| 110 | REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc. |
|---|
| 111 | REAL(wp) :: & |
|---|
| 112 | leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff. |
|---|
| 113 | REAL(wp) :: & |
|---|
| 114 | leaf_surface_conc = 0.0_wp !< leaf surface concentration |
|---|
| 115 | REAL(wp) :: lsec = 0.0_wp !< leaf scalar exchange coeff. |
|---|
| 116 | REAL(wp) :: lsc = 0.0_wp !< leaf surface concentration |
|---|
| 117 | |
|---|
| 118 | REAL(wp) :: & |
|---|
| 119 | lad_vertical_gradient(10) = 0.0_wp !< lad gradient |
|---|
| 120 | REAL(wp) :: & |
|---|
| 121 | lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m) |
|---|
| 122 | |
|---|
| 123 | REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density |
|---|
| 124 | REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad |
|---|
| 125 | |
|---|
| 126 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 127 | canopy_heat_flux !< canopy heat flux |
|---|
| 128 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc. |
|---|
| 129 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid |
|---|
| 130 | |
|---|
| 131 | |
|---|
| 132 | SAVE |
|---|
| 133 | |
|---|
| 134 | |
|---|
| 135 | PRIVATE |
|---|
| 136 | PUBLIC alpha_lad, beta_lad, calc_beta_lad_profile, canopy_drag_coeff, & |
|---|
| 137 | canopy_mode, cdc, cthf, dt_plant_canopy, init_plant_canopy, lad, & |
|---|
| 138 | lad_s, lad_surface, lad_vertical_gradient, & |
|---|
| 139 | lad_vertical_gradient_level, lad_vertical_gradient_level_ind, & |
|---|
| 140 | lai_beta, leaf_scalar_exch_coeff, leaf_surface_conc, lsc, lsec, & |
|---|
| 141 | pch_index, plant_canopy, plant_canopy_model |
|---|
| 142 | |
|---|
| 143 | |
|---|
| 144 | INTERFACE init_plant_canopy |
|---|
| 145 | MODULE PROCEDURE init_plant_canopy |
|---|
| 146 | END INTERFACE init_plant_canopy |
|---|
| 147 | |
|---|
| 148 | INTERFACE plant_canopy_model |
|---|
| 149 | MODULE PROCEDURE plant_canopy_model |
|---|
| 150 | MODULE PROCEDURE plant_canopy_model_ij |
|---|
| 151 | END INTERFACE plant_canopy_model |
|---|
| 152 | |
|---|
| 153 | |
|---|
| 154 | |
|---|
| 155 | |
|---|
| 156 | CONTAINS |
|---|
| 157 | |
|---|
| 158 | |
|---|
| 159 | !------------------------------------------------------------------------------! |
|---|
| 160 | ! Description: |
|---|
| 161 | ! ------------ |
|---|
| 162 | !> Initialization of the plant canopy model |
|---|
| 163 | !------------------------------------------------------------------------------! |
|---|
| 164 | SUBROUTINE init_plant_canopy |
|---|
| 165 | |
|---|
| 166 | |
|---|
| 167 | USE control_parameters, & |
|---|
| 168 | ONLY: dz, ocean, passive_scalar |
|---|
| 169 | |
|---|
| 170 | |
|---|
| 171 | IMPLICIT NONE |
|---|
| 172 | |
|---|
| 173 | INTEGER(iwp) :: i !< running index |
|---|
| 174 | INTEGER(iwp) :: j !< running index |
|---|
| 175 | INTEGER(iwp) :: k !< running index |
|---|
| 176 | |
|---|
| 177 | REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction |
|---|
| 178 | REAL(wp) :: dzh !< vertical grid spacing in units of canopy height |
|---|
| 179 | REAL(wp) :: gradient !< gradient for lad-profile construction |
|---|
| 180 | REAL(wp) :: canopy_height !< canopy height for lad-profile construction |
|---|
| 181 | |
|---|
| 182 | ! |
|---|
| 183 | !-- Allocate one-dimensional arrays for the computation of the |
|---|
| 184 | !-- leaf area density (lad) profile |
|---|
| 185 | ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) ) |
|---|
| 186 | lad = 0.0_wp |
|---|
| 187 | pre_lad = 0.0_wp |
|---|
| 188 | |
|---|
| 189 | ! |
|---|
| 190 | !-- Compute the profile of leaf area density used in the plant |
|---|
| 191 | !-- canopy model. The profile can either be constructed from |
|---|
| 192 | !-- prescribed vertical gradients of the leaf area density or by |
|---|
| 193 | !-- using a beta probability density function (see e.g. Markkanen et al., |
|---|
| 194 | !-- 2003: Boundary-Layer Meteorology, 106, 437-459) |
|---|
| 195 | IF ( .NOT. calc_beta_lad_profile ) THEN |
|---|
| 196 | |
|---|
| 197 | ! |
|---|
| 198 | !-- Use vertical gradients for lad-profile construction |
|---|
| 199 | i = 1 |
|---|
| 200 | gradient = 0.0_wp |
|---|
| 201 | |
|---|
| 202 | IF ( .NOT. ocean ) THEN |
|---|
| 203 | |
|---|
| 204 | lad(0) = lad_surface |
|---|
| 205 | lad_vertical_gradient_level_ind(1) = 0 |
|---|
| 206 | |
|---|
| 207 | DO k = 1, pch_index |
|---|
| 208 | IF ( i < 11 ) THEN |
|---|
| 209 | IF ( lad_vertical_gradient_level(i) < zu(k) .AND. & |
|---|
| 210 | lad_vertical_gradient_level(i) >= 0.0_wp ) THEN |
|---|
| 211 | gradient = lad_vertical_gradient(i) |
|---|
| 212 | lad_vertical_gradient_level_ind(i) = k - 1 |
|---|
| 213 | i = i + 1 |
|---|
| 214 | ENDIF |
|---|
| 215 | ENDIF |
|---|
| 216 | IF ( gradient /= 0.0_wp ) THEN |
|---|
| 217 | IF ( k /= 1 ) THEN |
|---|
| 218 | lad(k) = lad(k-1) + dzu(k) * gradient |
|---|
| 219 | ELSE |
|---|
| 220 | lad(k) = lad_surface + dzu(k) * gradient |
|---|
| 221 | ENDIF |
|---|
| 222 | ELSE |
|---|
| 223 | lad(k) = lad(k-1) |
|---|
| 224 | ENDIF |
|---|
| 225 | ENDDO |
|---|
| 226 | |
|---|
| 227 | ENDIF |
|---|
| 228 | |
|---|
| 229 | ! |
|---|
| 230 | !-- In case of no given leaf area density gradients, choose a vanishing |
|---|
| 231 | !-- gradient. This information is used for the HEADER and the RUN_CONTROL |
|---|
| 232 | !-- file. |
|---|
| 233 | IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN |
|---|
| 234 | lad_vertical_gradient_level(1) = 0.0_wp |
|---|
| 235 | ENDIF |
|---|
| 236 | |
|---|
| 237 | ELSE |
|---|
| 238 | |
|---|
| 239 | ! |
|---|
| 240 | !-- Use beta function for lad-profile construction |
|---|
| 241 | int_bpdf = 0.0_wp |
|---|
| 242 | canopy_height = pch_index * dz |
|---|
| 243 | |
|---|
| 244 | DO k = nzb, pch_index |
|---|
| 245 | int_bpdf = int_bpdf + & |
|---|
| 246 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) * & |
|---|
| 247 | ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( beta_lad-1.0_wp ) ) * & |
|---|
| 248 | ( ( zw(k+1)-zw(k) ) / canopy_height ) ) |
|---|
| 249 | ENDDO |
|---|
| 250 | |
|---|
| 251 | ! |
|---|
| 252 | !-- Preliminary lad profile (defined on w-grid) |
|---|
| 253 | DO k = nzb, pch_index |
|---|
| 254 | pre_lad(k) = lai_beta * & |
|---|
| 255 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) * & |
|---|
| 256 | ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( beta_lad-1.0_wp ) ) / & |
|---|
| 257 | int_bpdf & |
|---|
| 258 | ) / canopy_height |
|---|
| 259 | ENDDO |
|---|
| 260 | |
|---|
| 261 | ! |
|---|
| 262 | !-- Final lad profile (defined on scalar-grid level, since most prognostic |
|---|
| 263 | !-- quantities are defined there, hence, less interpolation is required |
|---|
| 264 | !-- when calculating the canopy tendencies) |
|---|
| 265 | lad(0) = pre_lad(0) |
|---|
| 266 | DO k = nzb+1, pch_index |
|---|
| 267 | lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) ) |
|---|
| 268 | ENDDO |
|---|
| 269 | |
|---|
| 270 | ENDIF |
|---|
| 271 | |
|---|
| 272 | ! |
|---|
| 273 | !-- Allocate 3D-array for the leaf area density (lad_s). In case of a |
|---|
| 274 | !-- prescribed canopy-top heat flux (cthf), allocate 3D-arrays for |
|---|
| 275 | !-- the cumulative leaf area index (cum_lai_hf) and the canopy heat flux. |
|---|
| 276 | ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 277 | |
|---|
| 278 | IF ( cthf /= 0.0_wp ) THEN |
|---|
| 279 | ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
|---|
| 280 | canopy_heat_flux(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 281 | ENDIF |
|---|
| 282 | |
|---|
| 283 | ! |
|---|
| 284 | !-- Initialize canopy parameters cdc (canopy drag coefficient), |
|---|
| 285 | !-- lsec (leaf scalar exchange coefficient), lsc (leaf surface concentration) |
|---|
| 286 | !-- with the prescribed values |
|---|
| 287 | cdc = canopy_drag_coeff |
|---|
| 288 | lsec = leaf_scalar_exch_coeff |
|---|
| 289 | lsc = leaf_surface_conc |
|---|
| 290 | |
|---|
| 291 | ! |
|---|
| 292 | !-- Initialization of the canopy coverage in the model domain: |
|---|
| 293 | !-- Setting the parameter canopy_mode = 'block' initializes a canopy, which |
|---|
| 294 | !-- fully covers the domain surface |
|---|
| 295 | SELECT CASE ( TRIM( canopy_mode ) ) |
|---|
| 296 | |
|---|
| 297 | CASE( 'block' ) |
|---|
| 298 | |
|---|
| 299 | DO i = nxlg, nxrg |
|---|
| 300 | DO j = nysg, nyng |
|---|
| 301 | lad_s(:,j,i) = lad(:) |
|---|
| 302 | ENDDO |
|---|
| 303 | ENDDO |
|---|
| 304 | |
|---|
| 305 | CASE DEFAULT |
|---|
| 306 | |
|---|
| 307 | ! |
|---|
| 308 | !-- The DEFAULT case is reached either if the parameter |
|---|
| 309 | !-- canopy mode contains a wrong character string or if the |
|---|
| 310 | !-- user has coded a special case in the user interface. |
|---|
| 311 | !-- There, the subroutine user_init_plant_canopy checks |
|---|
| 312 | !-- which of these two conditions applies. |
|---|
| 313 | CALL user_init_plant_canopy |
|---|
| 314 | |
|---|
| 315 | END SELECT |
|---|
| 316 | |
|---|
| 317 | ! |
|---|
| 318 | !-- Initialization of the canopy heat source distribution |
|---|
| 319 | IF ( cthf /= 0.0_wp ) THEN |
|---|
| 320 | ! |
|---|
| 321 | !-- Piecewise calculation of the leaf area index by vertical |
|---|
| 322 | !-- integration of the leaf area density |
|---|
| 323 | cum_lai_hf(:,:,:) = 0.0_wp |
|---|
| 324 | DO i = nxlg, nxrg |
|---|
| 325 | DO j = nysg, nyng |
|---|
| 326 | DO k = pch_index-1, 0, -1 |
|---|
| 327 | IF ( k == pch_index-1 ) THEN |
|---|
| 328 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
|---|
| 329 | ( 0.5_wp * lad_s(k+1,j,i) * & |
|---|
| 330 | ( zw(k+1) - zu(k+1) ) ) + & |
|---|
| 331 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
|---|
| 332 | lad_s(k,j,i) ) + & |
|---|
| 333 | lad_s(k+1,j,i) ) * & |
|---|
| 334 | ( zu(k+1) - zw(k) ) ) |
|---|
| 335 | ELSE |
|---|
| 336 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
|---|
| 337 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + & |
|---|
| 338 | lad_s(k+1,j,i) ) + & |
|---|
| 339 | lad_s(k+1,j,i) ) * & |
|---|
| 340 | ( zw(k+1) - zu(k+1) ) ) + & |
|---|
| 341 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
|---|
| 342 | lad_s(k,j,i) ) + & |
|---|
| 343 | lad_s(k+1,j,i) ) * & |
|---|
| 344 | ( zu(k+1) - zw(k) ) ) |
|---|
| 345 | ENDIF |
|---|
| 346 | ENDDO |
|---|
| 347 | ENDDO |
|---|
| 348 | ENDDO |
|---|
| 349 | |
|---|
| 350 | ! |
|---|
| 351 | !-- Calculation of the upward kinematic vertical heat flux within the |
|---|
| 352 | !-- canopy |
|---|
| 353 | DO i = nxlg, nxrg |
|---|
| 354 | DO j = nysg, nyng |
|---|
| 355 | DO k = 0, pch_index |
|---|
| 356 | canopy_heat_flux(k,j,i) = cthf * & |
|---|
| 357 | exp( -0.6_wp * cum_lai_hf(k,j,i) ) |
|---|
| 358 | ENDDO |
|---|
| 359 | ENDDO |
|---|
| 360 | ENDDO |
|---|
| 361 | |
|---|
| 362 | ! |
|---|
| 363 | !-- In areas covered with canopy, the surface heat flux is set to |
|---|
| 364 | !-- the surface value of the above calculated in-canopy heat flux |
|---|
| 365 | !-- distribution |
|---|
| 366 | DO i = nxlg,nxrg |
|---|
| 367 | DO j = nysg, nyng |
|---|
| 368 | IF ( canopy_heat_flux(0,j,i) /= cthf ) THEN |
|---|
| 369 | shf(j,i) = canopy_heat_flux(0,j,i) |
|---|
| 370 | ENDIF |
|---|
| 371 | ENDDO |
|---|
| 372 | ENDDO |
|---|
| 373 | |
|---|
| 374 | ENDIF |
|---|
| 375 | |
|---|
| 376 | |
|---|
| 377 | |
|---|
| 378 | END SUBROUTINE init_plant_canopy |
|---|
| 379 | |
|---|
| 380 | |
|---|
| 381 | |
|---|
| 382 | !------------------------------------------------------------------------------! |
|---|
| 383 | ! Description: |
|---|
| 384 | ! ------------ |
|---|
| 385 | !> Calculation of the tendency terms, accounting for the effect of the plant |
|---|
| 386 | !> canopy on momentum and scalar quantities. |
|---|
| 387 | !> |
|---|
| 388 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
|---|
| 389 | !> (defined on scalar grid), as initialized in subroutine init_plant_canopy. |
|---|
| 390 | !> The lad on the w-grid is vertically interpolated from the surrounding |
|---|
| 391 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
|---|
| 392 | !> k = pch_index. Here, the lad is zero. |
|---|
| 393 | !> |
|---|
| 394 | !> The canopy drag must be limited (previously accounted for by calculation of |
|---|
| 395 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
|---|
| 396 | !> in subroutine timestep), since it is physically impossible that the canopy |
|---|
| 397 | !> drag alone can locally change the sign of a velocity component. This |
|---|
| 398 | !> limitation is realized by calculating preliminary tendencies and velocities. |
|---|
| 399 | !> It is subsequently checked if the preliminary new velocity has a different |
|---|
| 400 | !> sign than the current velocity. If so, the tendency is limited in a way that |
|---|
| 401 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
|---|
| 402 | !> |
|---|
| 403 | !> |
|---|
| 404 | !> Call for all grid points |
|---|
| 405 | !------------------------------------------------------------------------------! |
|---|
| 406 | SUBROUTINE plant_canopy_model( component ) |
|---|
| 407 | |
|---|
| 408 | |
|---|
| 409 | USE control_parameters, & |
|---|
| 410 | ONLY: dt_3d, message_string |
|---|
| 411 | |
|---|
| 412 | USE kinds |
|---|
| 413 | |
|---|
| 414 | IMPLICIT NONE |
|---|
| 415 | |
|---|
| 416 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
|---|
| 417 | INTEGER(iwp) :: i !< running index |
|---|
| 418 | INTEGER(iwp) :: j !< running index |
|---|
| 419 | INTEGER(iwp) :: k !< running index |
|---|
| 420 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
|---|
| 421 | |
|---|
| 422 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
|---|
| 423 | REAL(wp) :: lad_local !< local lad value |
|---|
| 424 | REAL(wp) :: pre_tend !< preliminary tendency |
|---|
| 425 | REAL(wp) :: pre_u !< preliminary u-value |
|---|
| 426 | REAL(wp) :: pre_v !< preliminary v-value |
|---|
| 427 | REAL(wp) :: pre_w !< preliminary w-value |
|---|
| 428 | |
|---|
| 429 | |
|---|
| 430 | ddt_3d = 1.0_wp / dt_3d |
|---|
| 431 | |
|---|
| 432 | ! |
|---|
| 433 | !-- Compute drag for the three velocity components and the SGS-TKE: |
|---|
| 434 | SELECT CASE ( component ) |
|---|
| 435 | |
|---|
| 436 | ! |
|---|
| 437 | !-- u-component |
|---|
| 438 | CASE ( 1 ) |
|---|
| 439 | DO i = nxlu, nxr |
|---|
| 440 | DO j = nys, nyn |
|---|
| 441 | DO k = nzb_u_inner(j,i)+1, nzb_u_inner(j,i)+pch_index |
|---|
| 442 | |
|---|
| 443 | kk = k - nzb_u_inner(j,i) !- lad arrays are defined flat |
|---|
| 444 | ! |
|---|
| 445 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 446 | !-- the lad on the u-grid at index (k,j,i) is equal to |
|---|
| 447 | !-- lad_s(k,j,i), rather than being interpolated from the |
|---|
| 448 | !-- surrounding lad_s, because this would yield smaller lad |
|---|
| 449 | !-- at the canopy boundaries than inside of the canopy. |
|---|
| 450 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
|---|
| 451 | !-- boundary on the u-grid equals lad_s(k,j,i). |
|---|
| 452 | lad_local = lad_s(kk,j,i) |
|---|
| 453 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp )& |
|---|
| 454 | THEN |
|---|
| 455 | lad_local = lad_s(kk,j,i-1) |
|---|
| 456 | ENDIF |
|---|
| 457 | |
|---|
| 458 | pre_tend = 0.0_wp |
|---|
| 459 | pre_u = 0.0_wp |
|---|
| 460 | ! |
|---|
| 461 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 462 | pre_tend = - cdc * & |
|---|
| 463 | lad_local * & |
|---|
| 464 | SQRT( u(k,j,i)**2 + & |
|---|
| 465 | ( 0.25_wp * ( v(k,j,i-1) + & |
|---|
| 466 | v(k,j,i) + & |
|---|
| 467 | v(k,j+1,i) + & |
|---|
| 468 | v(k,j+1,i-1) ) & |
|---|
| 469 | )**2 + & |
|---|
| 470 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
|---|
| 471 | w(k-1,j,i) + & |
|---|
| 472 | w(k,j,i-1) + & |
|---|
| 473 | w(k,j,i) ) & |
|---|
| 474 | )**2 & |
|---|
| 475 | ) * & |
|---|
| 476 | u(k,j,i) |
|---|
| 477 | |
|---|
| 478 | ! |
|---|
| 479 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 480 | pre_u = u(k,j,i) + dt_3d * pre_tend |
|---|
| 481 | ! |
|---|
| 482 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 483 | !-- and in case the signs are different, limit the tendency |
|---|
| 484 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
|---|
| 485 | pre_tend = - u(k,j,i) * ddt_3d |
|---|
| 486 | ELSE |
|---|
| 487 | pre_tend = pre_tend |
|---|
| 488 | ENDIF |
|---|
| 489 | ! |
|---|
| 490 | !-- Calculate final tendency |
|---|
| 491 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 492 | |
|---|
| 493 | ENDDO |
|---|
| 494 | ENDDO |
|---|
| 495 | ENDDO |
|---|
| 496 | |
|---|
| 497 | ! |
|---|
| 498 | !-- v-component |
|---|
| 499 | CASE ( 2 ) |
|---|
| 500 | DO i = nxl, nxr |
|---|
| 501 | DO j = nysv, nyn |
|---|
| 502 | DO k = nzb_v_inner(j,i)+1, nzb_v_inner(j,i)+pch_index |
|---|
| 503 | |
|---|
| 504 | kk = k - nzb_v_inner(j,i) !- lad arrays are defined flat |
|---|
| 505 | ! |
|---|
| 506 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 507 | !-- the lad on the v-grid at index (k,j,i) is equal to |
|---|
| 508 | !-- lad_s(k,j,i), rather than being interpolated from the |
|---|
| 509 | !-- surrounding lad_s, because this would yield smaller lad |
|---|
| 510 | !-- at the canopy boundaries than inside of the canopy. |
|---|
| 511 | !-- For the same reason, the lad at the northmost(j+1) canopy |
|---|
| 512 | !-- boundary on the v-grid equals lad_s(k,j,i). |
|---|
| 513 | lad_local = lad_s(kk,j,i) |
|---|
| 514 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp )& |
|---|
| 515 | THEN |
|---|
| 516 | lad_local = lad_s(kk,j-1,i) |
|---|
| 517 | ENDIF |
|---|
| 518 | |
|---|
| 519 | pre_tend = 0.0_wp |
|---|
| 520 | pre_v = 0.0_wp |
|---|
| 521 | ! |
|---|
| 522 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 523 | pre_tend = - cdc * & |
|---|
| 524 | lad_local * & |
|---|
| 525 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
|---|
| 526 | u(k,j-1,i+1) + & |
|---|
| 527 | u(k,j,i) + & |
|---|
| 528 | u(k,j,i+1) ) & |
|---|
| 529 | )**2 + & |
|---|
| 530 | v(k,j,i)**2 + & |
|---|
| 531 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
|---|
| 532 | w(k-1,j,i) + & |
|---|
| 533 | w(k,j-1,i) + & |
|---|
| 534 | w(k,j,i) ) & |
|---|
| 535 | )**2 & |
|---|
| 536 | ) * & |
|---|
| 537 | v(k,j,i) |
|---|
| 538 | |
|---|
| 539 | ! |
|---|
| 540 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 541 | pre_v = v(k,j,i) + dt_3d * pre_tend |
|---|
| 542 | ! |
|---|
| 543 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 544 | !-- and in case the signs are different, limit the tendency |
|---|
| 545 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
|---|
| 546 | pre_tend = - v(k,j,i) * ddt_3d |
|---|
| 547 | ELSE |
|---|
| 548 | pre_tend = pre_tend |
|---|
| 549 | ENDIF |
|---|
| 550 | ! |
|---|
| 551 | !-- Calculate final tendency |
|---|
| 552 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 553 | |
|---|
| 554 | ENDDO |
|---|
| 555 | ENDDO |
|---|
| 556 | ENDDO |
|---|
| 557 | |
|---|
| 558 | ! |
|---|
| 559 | !-- w-component |
|---|
| 560 | CASE ( 3 ) |
|---|
| 561 | DO i = nxl, nxr |
|---|
| 562 | DO j = nys, nyn |
|---|
| 563 | DO k = nzb_w_inner(j,i)+1, nzb_w_inner(j,i)+pch_index-1 |
|---|
| 564 | |
|---|
| 565 | kk = k - nzb_w_inner(j,i) !- lad arrays are defined flat |
|---|
| 566 | |
|---|
| 567 | pre_tend = 0.0_wp |
|---|
| 568 | pre_w = 0.0_wp |
|---|
| 569 | ! |
|---|
| 570 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 571 | pre_tend = - cdc * & |
|---|
| 572 | (0.5_wp * & |
|---|
| 573 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
|---|
| 574 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
|---|
| 575 | u(k,j,i+1) + & |
|---|
| 576 | u(k+1,j,i) + & |
|---|
| 577 | u(k+1,j,i+1) ) & |
|---|
| 578 | )**2 + & |
|---|
| 579 | ( 0.25_wp * ( v(k,j,i) + & |
|---|
| 580 | v(k,j+1,i) + & |
|---|
| 581 | v(k+1,j,i) + & |
|---|
| 582 | v(k+1,j+1,i) ) & |
|---|
| 583 | )**2 + & |
|---|
| 584 | w(k,j,i)**2 & |
|---|
| 585 | ) * & |
|---|
| 586 | w(k,j,i) |
|---|
| 587 | ! |
|---|
| 588 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 589 | pre_w = w(k,j,i) + dt_3d * pre_tend |
|---|
| 590 | ! |
|---|
| 591 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 592 | !-- and in case the signs are different, limit the tendency |
|---|
| 593 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
|---|
| 594 | pre_tend = - w(k,j,i) * ddt_3d |
|---|
| 595 | ELSE |
|---|
| 596 | pre_tend = pre_tend |
|---|
| 597 | ENDIF |
|---|
| 598 | ! |
|---|
| 599 | !-- Calculate final tendency |
|---|
| 600 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 601 | |
|---|
| 602 | ENDDO |
|---|
| 603 | ENDDO |
|---|
| 604 | ENDDO |
|---|
| 605 | |
|---|
| 606 | ! |
|---|
| 607 | !-- potential temperature |
|---|
| 608 | CASE ( 4 ) |
|---|
| 609 | DO i = nxl, nxr |
|---|
| 610 | DO j = nys, nyn |
|---|
| 611 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 612 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 613 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 614 | ( canopy_heat_flux(kk,j,i) - & |
|---|
| 615 | canopy_heat_flux(kk-1,j,i) ) / dzw(k) |
|---|
| 616 | ENDDO |
|---|
| 617 | ENDDO |
|---|
| 618 | ENDDO |
|---|
| 619 | |
|---|
| 620 | ! |
|---|
| 621 | !-- scalar concentration |
|---|
| 622 | CASE ( 5 ) |
|---|
| 623 | DO i = nxl, nxr |
|---|
| 624 | DO j = nys, nyn |
|---|
| 625 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 626 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 627 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 628 | lsec * & |
|---|
| 629 | lad_s(kk,j,i) * & |
|---|
| 630 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 631 | u(k,j,i+1) ) & |
|---|
| 632 | )**2 + & |
|---|
| 633 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 634 | v(k,j+1,i) ) & |
|---|
| 635 | )**2 + & |
|---|
| 636 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 637 | w(k,j,i) ) & |
|---|
| 638 | )**2 & |
|---|
| 639 | ) * & |
|---|
| 640 | ( q(k,j,i) - lsc ) |
|---|
| 641 | ENDDO |
|---|
| 642 | ENDDO |
|---|
| 643 | ENDDO |
|---|
| 644 | |
|---|
| 645 | ! |
|---|
| 646 | !-- sgs-tke |
|---|
| 647 | CASE ( 6 ) |
|---|
| 648 | DO i = nxl, nxr |
|---|
| 649 | DO j = nys, nyn |
|---|
| 650 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 651 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 652 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 653 | 2.0_wp * cdc * & |
|---|
| 654 | lad_s(kk,j,i) * & |
|---|
| 655 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 656 | u(k,j,i+1) ) & |
|---|
| 657 | )**2 + & |
|---|
| 658 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 659 | v(k,j+1,i) ) & |
|---|
| 660 | )**2 + & |
|---|
| 661 | ( 0.5_wp * ( w(k,j,i) + & |
|---|
| 662 | w(k+1,j,i) ) & |
|---|
| 663 | )**2 & |
|---|
| 664 | ) * & |
|---|
| 665 | e(k,j,i) |
|---|
| 666 | ENDDO |
|---|
| 667 | ENDDO |
|---|
| 668 | ENDDO |
|---|
| 669 | |
|---|
| 670 | |
|---|
| 671 | CASE DEFAULT |
|---|
| 672 | |
|---|
| 673 | WRITE( message_string, * ) 'wrong component: ', component |
|---|
| 674 | CALL message( 'plant_canopy_model', 'PA0279', 1, 2, 0, 6, 0 ) |
|---|
| 675 | |
|---|
| 676 | END SELECT |
|---|
| 677 | |
|---|
| 678 | END SUBROUTINE plant_canopy_model |
|---|
| 679 | |
|---|
| 680 | |
|---|
| 681 | !------------------------------------------------------------------------------! |
|---|
| 682 | ! Description: |
|---|
| 683 | ! ------------ |
|---|
| 684 | !> Calculation of the tendency terms, accounting for the effect of the plant |
|---|
| 685 | !> canopy on momentum and scalar quantities. |
|---|
| 686 | !> |
|---|
| 687 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
|---|
| 688 | !> (defined on scalar grid), as initialized in subroutine init_plant_canopy. |
|---|
| 689 | !> The lad on the w-grid is vertically interpolated from the surrounding |
|---|
| 690 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
|---|
| 691 | !> k = pch_index. Here, the lad is zero. |
|---|
| 692 | !> |
|---|
| 693 | !> The canopy drag must be limited (previously accounted for by calculation of |
|---|
| 694 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
|---|
| 695 | !> in subroutine timestep), since it is physically impossible that the canopy |
|---|
| 696 | !> drag alone can locally change the sign of a velocity component. This |
|---|
| 697 | !> limitation is realized by calculating preliminary tendencies and velocities. |
|---|
| 698 | !> It is subsequently checked if the preliminary new velocity has a different |
|---|
| 699 | !> sign than the current velocity. If so, the tendency is limited in a way that |
|---|
| 700 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
|---|
| 701 | !> |
|---|
| 702 | !> |
|---|
| 703 | !> Call for grid point i,j |
|---|
| 704 | !------------------------------------------------------------------------------! |
|---|
| 705 | SUBROUTINE plant_canopy_model_ij( i, j, component ) |
|---|
| 706 | |
|---|
| 707 | |
|---|
| 708 | USE control_parameters, & |
|---|
| 709 | ONLY: dt_3d, message_string |
|---|
| 710 | |
|---|
| 711 | USE kinds |
|---|
| 712 | |
|---|
| 713 | IMPLICIT NONE |
|---|
| 714 | |
|---|
| 715 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
|---|
| 716 | INTEGER(iwp) :: i !< running index |
|---|
| 717 | INTEGER(iwp) :: j !< running index |
|---|
| 718 | INTEGER(iwp) :: k !< running index |
|---|
| 719 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
|---|
| 720 | |
|---|
| 721 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
|---|
| 722 | REAL(wp) :: lad_local !< local lad value |
|---|
| 723 | REAL(wp) :: pre_tend !< preliminary tendency |
|---|
| 724 | REAL(wp) :: pre_u !< preliminary u-value |
|---|
| 725 | REAL(wp) :: pre_v !< preliminary v-value |
|---|
| 726 | REAL(wp) :: pre_w !< preliminary w-value |
|---|
| 727 | |
|---|
| 728 | |
|---|
| 729 | ddt_3d = 1.0_wp / dt_3d |
|---|
| 730 | |
|---|
| 731 | ! |
|---|
| 732 | !-- Compute drag for the three velocity components and the SGS-TKE |
|---|
| 733 | SELECT CASE ( component ) |
|---|
| 734 | |
|---|
| 735 | ! |
|---|
| 736 | !-- u-component |
|---|
| 737 | CASE ( 1 ) |
|---|
| 738 | DO k = nzb_u_inner(j,i)+1, nzb_u_inner(j,i)+pch_index |
|---|
| 739 | |
|---|
| 740 | kk = k - nzb_u_inner(j,i) !- lad arrays are defined flat |
|---|
| 741 | ! |
|---|
| 742 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 743 | !-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 744 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 745 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 746 | !-- than inside of the canopy. |
|---|
| 747 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
|---|
| 748 | !-- boundary on the u-grid equals lad_s(k,j,i). |
|---|
| 749 | lad_local = lad_s(kk,j,i) |
|---|
| 750 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp ) THEN |
|---|
| 751 | lad_local = lad_s(kk,j,i-1) |
|---|
| 752 | ENDIF |
|---|
| 753 | |
|---|
| 754 | pre_tend = 0.0_wp |
|---|
| 755 | pre_u = 0.0_wp |
|---|
| 756 | ! |
|---|
| 757 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 758 | pre_tend = - cdc * & |
|---|
| 759 | lad_local * & |
|---|
| 760 | SQRT( u(k,j,i)**2 + & |
|---|
| 761 | ( 0.25_wp * ( v(k,j,i-1) + & |
|---|
| 762 | v(k,j,i) + & |
|---|
| 763 | v(k,j+1,i) + & |
|---|
| 764 | v(k,j+1,i-1) ) & |
|---|
| 765 | )**2 + & |
|---|
| 766 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
|---|
| 767 | w(k-1,j,i) + & |
|---|
| 768 | w(k,j,i-1) + & |
|---|
| 769 | w(k,j,i) ) & |
|---|
| 770 | )**2 & |
|---|
| 771 | ) * & |
|---|
| 772 | u(k,j,i) |
|---|
| 773 | |
|---|
| 774 | ! |
|---|
| 775 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 776 | pre_u = u(k,j,i) + dt_3d * pre_tend |
|---|
| 777 | ! |
|---|
| 778 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 779 | !-- and in case the signs are different, limit the tendency |
|---|
| 780 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
|---|
| 781 | pre_tend = - u(k,j,i) * ddt_3d |
|---|
| 782 | ELSE |
|---|
| 783 | pre_tend = pre_tend |
|---|
| 784 | ENDIF |
|---|
| 785 | ! |
|---|
| 786 | !-- Calculate final tendency |
|---|
| 787 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 788 | ENDDO |
|---|
| 789 | |
|---|
| 790 | |
|---|
| 791 | ! |
|---|
| 792 | !-- v-component |
|---|
| 793 | CASE ( 2 ) |
|---|
| 794 | DO k = nzb_v_inner(j,i)+1, nzb_v_inner(j,i)+pch_index |
|---|
| 795 | |
|---|
| 796 | kk = k - nzb_v_inner(j,i) !- lad arrays are defined flat |
|---|
| 797 | ! |
|---|
| 798 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 799 | !-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 800 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 801 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 802 | !-- than inside of the canopy. |
|---|
| 803 | !-- For the same reason, the lad at the northmost(j+1)canopy |
|---|
| 804 | !-- boundary on the v-grid equals lad_s(k,j,i). |
|---|
| 805 | lad_local = lad_s(kk,j,i) |
|---|
| 806 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp ) THEN |
|---|
| 807 | lad_local = lad_s(kk,j-1,i) |
|---|
| 808 | ENDIF |
|---|
| 809 | |
|---|
| 810 | pre_tend = 0.0_wp |
|---|
| 811 | pre_v = 0.0_wp |
|---|
| 812 | ! |
|---|
| 813 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 814 | pre_tend = - cdc * & |
|---|
| 815 | lad_local * & |
|---|
| 816 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
|---|
| 817 | u(k,j-1,i+1) + & |
|---|
| 818 | u(k,j,i) + & |
|---|
| 819 | u(k,j,i+1) ) & |
|---|
| 820 | )**2 + & |
|---|
| 821 | v(k,j,i)**2 + & |
|---|
| 822 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
|---|
| 823 | w(k-1,j,i) + & |
|---|
| 824 | w(k,j-1,i) + & |
|---|
| 825 | w(k,j,i) ) & |
|---|
| 826 | )**2 & |
|---|
| 827 | ) * & |
|---|
| 828 | v(k,j,i) |
|---|
| 829 | |
|---|
| 830 | ! |
|---|
| 831 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 832 | pre_v = v(k,j,i) + dt_3d * pre_tend |
|---|
| 833 | ! |
|---|
| 834 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 835 | !-- and in case the signs are different, limit the tendency |
|---|
| 836 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
|---|
| 837 | pre_tend = - v(k,j,i) * ddt_3d |
|---|
| 838 | ELSE |
|---|
| 839 | pre_tend = pre_tend |
|---|
| 840 | ENDIF |
|---|
| 841 | ! |
|---|
| 842 | !-- Calculate final tendency |
|---|
| 843 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 844 | ENDDO |
|---|
| 845 | |
|---|
| 846 | |
|---|
| 847 | ! |
|---|
| 848 | !-- w-component |
|---|
| 849 | CASE ( 3 ) |
|---|
| 850 | DO k = nzb_w_inner(j,i)+1, nzb_w_inner(j,i)+pch_index-1 |
|---|
| 851 | |
|---|
| 852 | kk = k - nzb_w_inner(j,i) !- lad arrays are defined flat |
|---|
| 853 | |
|---|
| 854 | pre_tend = 0.0_wp |
|---|
| 855 | pre_w = 0.0_wp |
|---|
| 856 | ! |
|---|
| 857 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 858 | pre_tend = - cdc * & |
|---|
| 859 | (0.5_wp * & |
|---|
| 860 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
|---|
| 861 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
|---|
| 862 | u(k,j,i+1) + & |
|---|
| 863 | u(k+1,j,i) + & |
|---|
| 864 | u(k+1,j,i+1) ) & |
|---|
| 865 | )**2 + & |
|---|
| 866 | ( 0.25_wp * ( v(k,j,i) + & |
|---|
| 867 | v(k,j+1,i) + & |
|---|
| 868 | v(k+1,j,i) + & |
|---|
| 869 | v(k+1,j+1,i) ) & |
|---|
| 870 | )**2 + & |
|---|
| 871 | w(k,j,i)**2 & |
|---|
| 872 | ) * & |
|---|
| 873 | w(k,j,i) |
|---|
| 874 | ! |
|---|
| 875 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 876 | pre_w = w(k,j,i) + dt_3d * pre_tend |
|---|
| 877 | ! |
|---|
| 878 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 879 | !-- and in case the signs are different, limit the tendency |
|---|
| 880 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
|---|
| 881 | pre_tend = - w(k,j,i) * ddt_3d |
|---|
| 882 | ELSE |
|---|
| 883 | pre_tend = pre_tend |
|---|
| 884 | ENDIF |
|---|
| 885 | ! |
|---|
| 886 | !-- Calculate final tendency |
|---|
| 887 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 888 | ENDDO |
|---|
| 889 | |
|---|
| 890 | ! |
|---|
| 891 | !-- potential temperature |
|---|
| 892 | CASE ( 4 ) |
|---|
| 893 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 894 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 895 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 896 | ( canopy_heat_flux(kk,j,i) - & |
|---|
| 897 | canopy_heat_flux(kk-1,j,i) ) / dzw(k) |
|---|
| 898 | ENDDO |
|---|
| 899 | |
|---|
| 900 | |
|---|
| 901 | ! |
|---|
| 902 | !-- scalar concentration |
|---|
| 903 | CASE ( 5 ) |
|---|
| 904 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 905 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 906 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 907 | lsec * & |
|---|
| 908 | lad_s(kk,j,i) * & |
|---|
| 909 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 910 | u(k,j,i+1) ) & |
|---|
| 911 | )**2 + & |
|---|
| 912 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 913 | v(k,j+1,i) ) & |
|---|
| 914 | )**2 + & |
|---|
| 915 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 916 | w(k,j,i) ) & |
|---|
| 917 | )**2 & |
|---|
| 918 | ) * & |
|---|
| 919 | ( q(k,j,i) - lsc ) |
|---|
| 920 | ENDDO |
|---|
| 921 | |
|---|
| 922 | ! |
|---|
| 923 | !-- sgs-tke |
|---|
| 924 | CASE ( 6 ) |
|---|
| 925 | DO k = nzb_s_inner(j,i)+1, nzb_s_inner(j,i)+pch_index |
|---|
| 926 | kk = k - nzb_s_inner(j,i) !- lad arrays are defined flat |
|---|
| 927 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 928 | 2.0_wp * cdc * & |
|---|
| 929 | lad_s(kk,j,i) * & |
|---|
| 930 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 931 | u(k,j,i+1) ) & |
|---|
| 932 | )**2 + & |
|---|
| 933 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 934 | v(k,j+1,i) ) & |
|---|
| 935 | )**2 + & |
|---|
| 936 | ( 0.5_wp * ( w(k,j,i) + & |
|---|
| 937 | w(k+1,j,i) ) & |
|---|
| 938 | )**2 & |
|---|
| 939 | ) * & |
|---|
| 940 | e(k,j,i) |
|---|
| 941 | ENDDO |
|---|
| 942 | |
|---|
| 943 | CASE DEFAULT |
|---|
| 944 | |
|---|
| 945 | WRITE( message_string, * ) 'wrong component: ', component |
|---|
| 946 | CALL message( 'plant_canopy_model', 'PA0279', 1, 2, 0, 6, 0 ) |
|---|
| 947 | |
|---|
| 948 | END SELECT |
|---|
| 949 | |
|---|
| 950 | END SUBROUTINE plant_canopy_model_ij |
|---|
| 951 | |
|---|
| 952 | END MODULE plant_canopy_model_mod |
|---|
