1 | !> @file diffusion_s.f90 |
---|
2 | !------------------------------------------------------------------------------! |
---|
3 | ! This file is part of the PALM model system. |
---|
4 | ! |
---|
5 | ! PALM is free software: you can redistribute it and/or modify it under the |
---|
6 | ! terms of the GNU General Public License as published by the Free Software |
---|
7 | ! Foundation, either version 3 of the License, or (at your option) any later |
---|
8 | ! 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 1997-2019 Leibniz Universitaet Hannover |
---|
18 | !------------------------------------------------------------------------------! |
---|
19 | ! |
---|
20 | ! Current revisions: |
---|
21 | ! ------------------ |
---|
22 | ! |
---|
23 | ! |
---|
24 | ! Former revisions: |
---|
25 | ! ----------------- |
---|
26 | ! $Id: diffusion_s.f90 3761 2019-02-25 15:31:42Z Giersch $ |
---|
27 | ! unused variables removed |
---|
28 | ! |
---|
29 | ! 3655 2019-01-07 16:51:22Z knoop |
---|
30 | ! nopointer option removed |
---|
31 | ! |
---|
32 | ! 3634 2018-12-18 12:31:28Z knoop |
---|
33 | ! OpenACC port for SPEC |
---|
34 | ! |
---|
35 | ! 3547 2018-11-21 13:21:24Z suehring |
---|
36 | ! variables documented |
---|
37 | ! |
---|
38 | ! 2759 2018-01-17 16:24:59Z suehring |
---|
39 | ! Major bugfix, horizontal diffusion at vertical surfaces corrected. |
---|
40 | ! |
---|
41 | ! 2718 2018-01-02 08:49:38Z maronga |
---|
42 | ! Corrected "Former revisions" section |
---|
43 | ! |
---|
44 | ! 2696 2017-12-14 17:12:51Z kanani |
---|
45 | ! Change in file header (GPL part) |
---|
46 | ! |
---|
47 | ! 2233 2017-05-30 18:08:54Z suehring |
---|
48 | ! |
---|
49 | ! 2232 2017-05-30 17:47:52Z suehring |
---|
50 | ! Adjustments to new topography and surface concept |
---|
51 | ! |
---|
52 | ! 2118 2017-01-17 16:38:49Z raasch |
---|
53 | ! OpenACC version of subroutine removed |
---|
54 | ! |
---|
55 | ! 2037 2016-10-26 11:15:40Z knoop |
---|
56 | ! Anelastic approximation implemented |
---|
57 | ! |
---|
58 | ! 2000 2016-08-20 18:09:15Z knoop |
---|
59 | ! Forced header and separation lines into 80 columns |
---|
60 | ! |
---|
61 | ! 1873 2016-04-18 14:50:06Z maronga |
---|
62 | ! Module renamed (removed _mod) |
---|
63 | ! |
---|
64 | ! 1850 2016-04-08 13:29:27Z maronga |
---|
65 | ! Module renamed |
---|
66 | ! |
---|
67 | ! 1691 2015-10-26 16:17:44Z maronga |
---|
68 | ! Formatting corrections. |
---|
69 | ! |
---|
70 | ! 1682 2015-10-07 23:56:08Z knoop |
---|
71 | ! Code annotations made doxygen readable |
---|
72 | ! |
---|
73 | ! 1374 2014-04-25 12:55:07Z raasch |
---|
74 | ! missing variables added to ONLY list |
---|
75 | ! |
---|
76 | ! 1340 2014-03-25 19:45:13Z kanani |
---|
77 | ! REAL constants defined as wp-kind |
---|
78 | ! |
---|
79 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
80 | ! ONLY-attribute added to USE-statements, |
---|
81 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
82 | ! kinds are defined in new module kinds, |
---|
83 | ! revision history before 2012 removed, |
---|
84 | ! comment fields (!:) to be used for variable explanations added to |
---|
85 | ! all variable declaration statements |
---|
86 | ! |
---|
87 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
88 | ! openacc loop and loop vector clauses removed |
---|
89 | ! |
---|
90 | ! 1128 2013-04-12 06:19:32Z raasch |
---|
91 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
---|
92 | ! j_north |
---|
93 | ! |
---|
94 | ! 1092 2013-02-02 11:24:22Z raasch |
---|
95 | ! unused variables removed |
---|
96 | ! |
---|
97 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
98 | ! code put under GPL (PALM 3.9) |
---|
99 | ! |
---|
100 | ! 1015 2012-09-27 09:23:24Z raasch |
---|
101 | ! accelerator version (*_acc) added |
---|
102 | ! |
---|
103 | ! 1010 2012-09-20 07:59:54Z raasch |
---|
104 | ! cpp switch __nopointer added for pointer free version |
---|
105 | ! |
---|
106 | ! 1001 2012-09-13 14:08:46Z raasch |
---|
107 | ! some arrays comunicated by module instead of parameter list |
---|
108 | ! |
---|
109 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
---|
110 | ! Initial revision |
---|
111 | ! |
---|
112 | ! |
---|
113 | ! Description: |
---|
114 | ! ------------ |
---|
115 | !> Diffusion term of scalar quantities (temperature and water content) |
---|
116 | !------------------------------------------------------------------------------! |
---|
117 | MODULE diffusion_s_mod |
---|
118 | |
---|
119 | |
---|
120 | PRIVATE |
---|
121 | PUBLIC diffusion_s |
---|
122 | |
---|
123 | INTERFACE diffusion_s |
---|
124 | MODULE PROCEDURE diffusion_s |
---|
125 | MODULE PROCEDURE diffusion_s_ij |
---|
126 | END INTERFACE diffusion_s |
---|
127 | |
---|
128 | CONTAINS |
---|
129 | |
---|
130 | |
---|
131 | !------------------------------------------------------------------------------! |
---|
132 | ! Description: |
---|
133 | ! ------------ |
---|
134 | !> Call for all grid points |
---|
135 | !------------------------------------------------------------------------------! |
---|
136 | SUBROUTINE diffusion_s( s, s_flux_def_h_up, s_flux_def_h_down, & |
---|
137 | s_flux_t, & |
---|
138 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
---|
139 | s_flux_def_v_north, s_flux_def_v_south, & |
---|
140 | s_flux_def_v_east, s_flux_def_v_west, & |
---|
141 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
---|
142 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
---|
143 | s_flux_usm_v_north, s_flux_usm_v_south, & |
---|
144 | s_flux_usm_v_east, s_flux_usm_v_west ) |
---|
145 | |
---|
146 | USE arrays_3d, & |
---|
147 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
---|
148 | |
---|
149 | USE control_parameters, & |
---|
150 | ONLY: use_surface_fluxes, use_top_fluxes |
---|
151 | |
---|
152 | USE grid_variables, & |
---|
153 | ONLY: ddx, ddx2, ddy, ddy2 |
---|
154 | |
---|
155 | USE indices, & |
---|
156 | ONLY: nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
---|
157 | |
---|
158 | USE kinds |
---|
159 | |
---|
160 | USE surface_mod, & |
---|
161 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
162 | surf_usm_v |
---|
163 | |
---|
164 | IMPLICIT NONE |
---|
165 | |
---|
166 | INTEGER(iwp) :: i !< running index x direction |
---|
167 | INTEGER(iwp) :: j !< running index y direction |
---|
168 | INTEGER(iwp) :: k !< running index z direction |
---|
169 | INTEGER(iwp) :: m !< running index surface elements |
---|
170 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
171 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
172 | |
---|
173 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
174 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
---|
175 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
---|
176 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
---|
177 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
---|
178 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
---|
179 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
---|
180 | |
---|
181 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
---|
182 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
---|
183 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
---|
184 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
---|
185 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
---|
186 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
---|
187 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
---|
188 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical natural-type surfaces |
---|
189 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical natural-type surfaces |
---|
190 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical natural-type surfaces |
---|
191 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical natural-type surfaces |
---|
192 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
---|
193 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
194 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
195 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
---|
196 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
197 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
---|
198 | |
---|
199 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< treated scalar |
---|
200 | |
---|
201 | |
---|
202 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) & |
---|
203 | !$ACC PRIVATE(surf_e, surf_s, flag, mask_top, mask_bottom) & |
---|
204 | !$ACC PRIVATE(mask_north, mask_south, mask_west, mask_east) & |
---|
205 | !$ACC PRESENT(wall_flags_0, kh) & |
---|
206 | !$ACC PRESENT(s) & |
---|
207 | !$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) & |
---|
208 | !$ACC PRESENT(surf_def_h(0:2), surf_def_v(0:3)) & |
---|
209 | !$ACC PRESENT(surf_lsm_h, surf_lsm_v(0:3)) & |
---|
210 | !$ACC PRESENT(surf_usm_h, surf_usm_v(0:3)) & |
---|
211 | !$ACC PRESENT(s_flux_def_h_up, s_flux_def_h_down) & |
---|
212 | !$ACC PRESENT(s_flux_t) & |
---|
213 | !$ACC PRESENT(s_flux_def_v_north, s_flux_def_v_south) & |
---|
214 | !$ACC PRESENT(s_flux_def_v_east, s_flux_def_v_west) & |
---|
215 | !$ACC PRESENT(s_flux_lsm_h_up) & |
---|
216 | !$ACC PRESENT(s_flux_lsm_v_north, s_flux_lsm_v_south) & |
---|
217 | !$ACC PRESENT(s_flux_lsm_v_east, s_flux_lsm_v_west) & |
---|
218 | !$ACC PRESENT(s_flux_usm_h_up) & |
---|
219 | !$ACC PRESENT(s_flux_usm_v_north, s_flux_usm_v_south) & |
---|
220 | !$ACC PRESENT(s_flux_usm_v_east, s_flux_usm_v_west) & |
---|
221 | !$ACC PRESENT(tend) |
---|
222 | DO i = nxl, nxr |
---|
223 | DO j = nys,nyn |
---|
224 | ! |
---|
225 | !-- Compute horizontal diffusion |
---|
226 | DO k = nzb+1, nzt |
---|
227 | ! |
---|
228 | !-- Predetermine flag to mask topography and wall-bounded grid points |
---|
229 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
230 | ! |
---|
231 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
---|
232 | !-- former s_outer array |
---|
233 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
234 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
---|
235 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
236 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
---|
237 | |
---|
238 | tend(k,j,i) = tend(k,j,i) & |
---|
239 | + 0.5_wp * ( & |
---|
240 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
---|
241 | * ( s(k,j,i+1) - s(k,j,i) ) & |
---|
242 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
---|
243 | * ( s(k,j,i) - s(k,j,i-1) ) & |
---|
244 | ) * ddx2 * flag & |
---|
245 | + 0.5_wp * ( & |
---|
246 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
---|
247 | * ( s(k,j+1,i) - s(k,j,i) ) & |
---|
248 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
---|
249 | * ( s(k,j,i) - s(k,j-1,i) ) & |
---|
250 | ) * ddy2 * flag |
---|
251 | ENDDO |
---|
252 | |
---|
253 | ! |
---|
254 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
---|
255 | !-- determine start and end index for respective (j,i)-index. Please |
---|
256 | !-- note, in the flat case following loop will not be entered, as |
---|
257 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
---|
258 | !-- so far. |
---|
259 | !-- First, for default-type surfaces |
---|
260 | !-- North-facing vertical default-type surfaces |
---|
261 | surf_s = surf_def_v(0)%start_index(j,i) |
---|
262 | surf_e = surf_def_v(0)%end_index(j,i) |
---|
263 | DO m = surf_s, surf_e |
---|
264 | k = surf_def_v(0)%k(m) |
---|
265 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy |
---|
266 | ENDDO |
---|
267 | ! |
---|
268 | !-- South-facing vertical default-type surfaces |
---|
269 | surf_s = surf_def_v(1)%start_index(j,i) |
---|
270 | surf_e = surf_def_v(1)%end_index(j,i) |
---|
271 | DO m = surf_s, surf_e |
---|
272 | k = surf_def_v(1)%k(m) |
---|
273 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy |
---|
274 | ENDDO |
---|
275 | ! |
---|
276 | !-- East-facing vertical default-type surfaces |
---|
277 | surf_s = surf_def_v(2)%start_index(j,i) |
---|
278 | surf_e = surf_def_v(2)%end_index(j,i) |
---|
279 | DO m = surf_s, surf_e |
---|
280 | k = surf_def_v(2)%k(m) |
---|
281 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx |
---|
282 | ENDDO |
---|
283 | ! |
---|
284 | !-- West-facing vertical default-type surfaces |
---|
285 | surf_s = surf_def_v(3)%start_index(j,i) |
---|
286 | surf_e = surf_def_v(3)%end_index(j,i) |
---|
287 | DO m = surf_s, surf_e |
---|
288 | k = surf_def_v(3)%k(m) |
---|
289 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx |
---|
290 | ENDDO |
---|
291 | ! |
---|
292 | !-- Now, for natural-type surfaces. |
---|
293 | !-- North-facing |
---|
294 | surf_s = surf_lsm_v(0)%start_index(j,i) |
---|
295 | surf_e = surf_lsm_v(0)%end_index(j,i) |
---|
296 | DO m = surf_s, surf_e |
---|
297 | k = surf_lsm_v(0)%k(m) |
---|
298 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy |
---|
299 | ENDDO |
---|
300 | ! |
---|
301 | !-- South-facing |
---|
302 | surf_s = surf_lsm_v(1)%start_index(j,i) |
---|
303 | surf_e = surf_lsm_v(1)%end_index(j,i) |
---|
304 | DO m = surf_s, surf_e |
---|
305 | k = surf_lsm_v(1)%k(m) |
---|
306 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy |
---|
307 | ENDDO |
---|
308 | ! |
---|
309 | !-- East-facing |
---|
310 | surf_s = surf_lsm_v(2)%start_index(j,i) |
---|
311 | surf_e = surf_lsm_v(2)%end_index(j,i) |
---|
312 | DO m = surf_s, surf_e |
---|
313 | k = surf_lsm_v(2)%k(m) |
---|
314 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx |
---|
315 | ENDDO |
---|
316 | ! |
---|
317 | !-- West-facing |
---|
318 | surf_s = surf_lsm_v(3)%start_index(j,i) |
---|
319 | surf_e = surf_lsm_v(3)%end_index(j,i) |
---|
320 | DO m = surf_s, surf_e |
---|
321 | k = surf_lsm_v(3)%k(m) |
---|
322 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx |
---|
323 | ENDDO |
---|
324 | ! |
---|
325 | !-- Now, for urban-type surfaces. |
---|
326 | !-- North-facing |
---|
327 | surf_s = surf_usm_v(0)%start_index(j,i) |
---|
328 | surf_e = surf_usm_v(0)%end_index(j,i) |
---|
329 | DO m = surf_s, surf_e |
---|
330 | k = surf_usm_v(0)%k(m) |
---|
331 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy |
---|
332 | ENDDO |
---|
333 | ! |
---|
334 | !-- South-facing |
---|
335 | surf_s = surf_usm_v(1)%start_index(j,i) |
---|
336 | surf_e = surf_usm_v(1)%end_index(j,i) |
---|
337 | DO m = surf_s, surf_e |
---|
338 | k = surf_usm_v(1)%k(m) |
---|
339 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy |
---|
340 | ENDDO |
---|
341 | ! |
---|
342 | !-- East-facing |
---|
343 | surf_s = surf_usm_v(2)%start_index(j,i) |
---|
344 | surf_e = surf_usm_v(2)%end_index(j,i) |
---|
345 | DO m = surf_s, surf_e |
---|
346 | k = surf_usm_v(2)%k(m) |
---|
347 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx |
---|
348 | ENDDO |
---|
349 | ! |
---|
350 | !-- West-facing |
---|
351 | surf_s = surf_usm_v(3)%start_index(j,i) |
---|
352 | surf_e = surf_usm_v(3)%end_index(j,i) |
---|
353 | DO m = surf_s, surf_e |
---|
354 | k = surf_usm_v(3)%k(m) |
---|
355 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx |
---|
356 | ENDDO |
---|
357 | |
---|
358 | ! |
---|
359 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
360 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
361 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
---|
362 | !-- is given. |
---|
363 | DO k = nzb+1, nzt |
---|
364 | ! |
---|
365 | !-- Determine flags to mask topography below and above. Flag 0 is |
---|
366 | !-- used to mask topography in general, and flag 8 implies |
---|
367 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
368 | !-- flux at model top. |
---|
369 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
370 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
371 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
372 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
373 | MERGE( 1.0_wp, 0.0_wp, & |
---|
374 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
375 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
376 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
377 | |
---|
378 | tend(k,j,i) = tend(k,j,i) & |
---|
379 | + 0.5_wp * ( & |
---|
380 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
---|
381 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
382 | * rho_air_zw(k) & |
---|
383 | * mask_top & |
---|
384 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
---|
385 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
386 | * rho_air_zw(k-1) & |
---|
387 | * mask_bottom & |
---|
388 | ) * ddzw(k) * drho_air(k) & |
---|
389 | * flag |
---|
390 | ENDDO |
---|
391 | |
---|
392 | ! |
---|
393 | !-- Vertical diffusion at horizontal walls. |
---|
394 | IF ( use_surface_fluxes ) THEN |
---|
395 | ! |
---|
396 | !-- Default-type surfaces, upward-facing |
---|
397 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
398 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
399 | DO m = surf_s, surf_e |
---|
400 | |
---|
401 | k = surf_def_h(0)%k(m) |
---|
402 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
---|
403 | * ddzw(k) * drho_air(k) |
---|
404 | |
---|
405 | ENDDO |
---|
406 | ! |
---|
407 | !-- Default-type surfaces, downward-facing |
---|
408 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
409 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
410 | DO m = surf_s, surf_e |
---|
411 | |
---|
412 | k = surf_def_h(1)%k(m) |
---|
413 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
---|
414 | * ddzw(k) * drho_air(k) |
---|
415 | |
---|
416 | ENDDO |
---|
417 | ! |
---|
418 | !-- Natural-type surfaces, upward-facing |
---|
419 | surf_s = surf_lsm_h%start_index(j,i) |
---|
420 | surf_e = surf_lsm_h%end_index(j,i) |
---|
421 | DO m = surf_s, surf_e |
---|
422 | |
---|
423 | k = surf_lsm_h%k(m) |
---|
424 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
---|
425 | * ddzw(k) * drho_air(k) |
---|
426 | |
---|
427 | ENDDO |
---|
428 | ! |
---|
429 | !-- Urban-type surfaces, upward-facing |
---|
430 | surf_s = surf_usm_h%start_index(j,i) |
---|
431 | surf_e = surf_usm_h%end_index(j,i) |
---|
432 | DO m = surf_s, surf_e |
---|
433 | |
---|
434 | k = surf_usm_h%k(m) |
---|
435 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
---|
436 | * ddzw(k) * drho_air(k) |
---|
437 | |
---|
438 | ENDDO |
---|
439 | |
---|
440 | ENDIF |
---|
441 | ! |
---|
442 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
---|
443 | IF ( use_top_fluxes ) THEN |
---|
444 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
445 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
446 | DO m = surf_s, surf_e |
---|
447 | |
---|
448 | k = surf_def_h(2)%k(m) |
---|
449 | tend(k,j,i) = tend(k,j,i) & |
---|
450 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
---|
451 | ENDDO |
---|
452 | ENDIF |
---|
453 | |
---|
454 | ENDDO |
---|
455 | ENDDO |
---|
456 | |
---|
457 | END SUBROUTINE diffusion_s |
---|
458 | |
---|
459 | !------------------------------------------------------------------------------! |
---|
460 | ! Description: |
---|
461 | ! ------------ |
---|
462 | !> Call for grid point i,j |
---|
463 | !------------------------------------------------------------------------------! |
---|
464 | SUBROUTINE diffusion_s_ij( i, j, s, & |
---|
465 | s_flux_def_h_up, s_flux_def_h_down, & |
---|
466 | s_flux_t, & |
---|
467 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
---|
468 | s_flux_def_v_north, s_flux_def_v_south, & |
---|
469 | s_flux_def_v_east, s_flux_def_v_west, & |
---|
470 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
---|
471 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
---|
472 | s_flux_usm_v_north, s_flux_usm_v_south, & |
---|
473 | s_flux_usm_v_east, s_flux_usm_v_west ) |
---|
474 | |
---|
475 | USE arrays_3d, & |
---|
476 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
---|
477 | |
---|
478 | USE control_parameters, & |
---|
479 | ONLY: use_surface_fluxes, use_top_fluxes |
---|
480 | |
---|
481 | USE grid_variables, & |
---|
482 | ONLY: ddx, ddx2, ddy, ddy2 |
---|
483 | |
---|
484 | USE indices, & |
---|
485 | ONLY: nzb, nzt, wall_flags_0 |
---|
486 | |
---|
487 | USE kinds |
---|
488 | |
---|
489 | USE surface_mod, & |
---|
490 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
491 | surf_usm_v |
---|
492 | |
---|
493 | IMPLICIT NONE |
---|
494 | |
---|
495 | INTEGER(iwp) :: i !< running index x direction |
---|
496 | INTEGER(iwp) :: j !< running index y direction |
---|
497 | INTEGER(iwp) :: k !< running index z direction |
---|
498 | INTEGER(iwp) :: m !< running index surface elements |
---|
499 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
500 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
501 | |
---|
502 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
503 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
---|
504 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
---|
505 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
---|
506 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
---|
507 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
---|
508 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
---|
509 | |
---|
510 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
---|
511 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
---|
512 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
---|
513 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
---|
514 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
---|
515 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
---|
516 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
---|
517 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
518 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
519 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical urban-type surfaces |
---|
520 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
521 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
---|
522 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
523 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
524 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
---|
525 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
526 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
---|
527 | |
---|
528 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< treated scalar |
---|
529 | |
---|
530 | ! |
---|
531 | !-- Compute horizontal diffusion |
---|
532 | DO k = nzb+1, nzt |
---|
533 | ! |
---|
534 | !-- Predetermine flag to mask topography and wall-bounded grid points |
---|
535 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
536 | ! |
---|
537 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
---|
538 | !-- former s_outer array |
---|
539 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
540 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 0 ) ) |
---|
541 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
542 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 0 ) ) |
---|
543 | ! |
---|
544 | !-- Finally, determine flag to mask both topography itself as well |
---|
545 | !-- as wall-bounded grid points, which will be treated further below |
---|
546 | |
---|
547 | tend(k,j,i) = tend(k,j,i) & |
---|
548 | + 0.5_wp * ( & |
---|
549 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
---|
550 | * ( s(k,j,i+1) - s(k,j,i) ) & |
---|
551 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
---|
552 | * ( s(k,j,i) - s(k,j,i-1) ) & |
---|
553 | ) * ddx2 * flag & |
---|
554 | + 0.5_wp * ( & |
---|
555 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
---|
556 | * ( s(k,j+1,i) - s(k,j,i) ) & |
---|
557 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
---|
558 | * ( s(k,j,i) - s(k,j-1,i) ) & |
---|
559 | ) * ddy2 * flag |
---|
560 | ENDDO |
---|
561 | |
---|
562 | ! |
---|
563 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
---|
564 | !-- determine start and end index for respective (j,i)-index. Please |
---|
565 | !-- note, in the flat case following loops will not be entered, as |
---|
566 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
---|
567 | !-- so far. |
---|
568 | !-- First, for default-type surfaces |
---|
569 | !-- North-facing vertical default-type surfaces |
---|
570 | surf_s = surf_def_v(0)%start_index(j,i) |
---|
571 | surf_e = surf_def_v(0)%end_index(j,i) |
---|
572 | DO m = surf_s, surf_e |
---|
573 | k = surf_def_v(0)%k(m) |
---|
574 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy |
---|
575 | ENDDO |
---|
576 | ! |
---|
577 | !-- South-facing vertical default-type surfaces |
---|
578 | surf_s = surf_def_v(1)%start_index(j,i) |
---|
579 | surf_e = surf_def_v(1)%end_index(j,i) |
---|
580 | DO m = surf_s, surf_e |
---|
581 | k = surf_def_v(1)%k(m) |
---|
582 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy |
---|
583 | ENDDO |
---|
584 | ! |
---|
585 | !-- East-facing vertical default-type surfaces |
---|
586 | surf_s = surf_def_v(2)%start_index(j,i) |
---|
587 | surf_e = surf_def_v(2)%end_index(j,i) |
---|
588 | DO m = surf_s, surf_e |
---|
589 | k = surf_def_v(2)%k(m) |
---|
590 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx |
---|
591 | ENDDO |
---|
592 | ! |
---|
593 | !-- West-facing vertical default-type surfaces |
---|
594 | surf_s = surf_def_v(3)%start_index(j,i) |
---|
595 | surf_e = surf_def_v(3)%end_index(j,i) |
---|
596 | DO m = surf_s, surf_e |
---|
597 | k = surf_def_v(3)%k(m) |
---|
598 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx |
---|
599 | ENDDO |
---|
600 | ! |
---|
601 | !-- Now, for natural-type surfaces |
---|
602 | !-- North-facing |
---|
603 | surf_s = surf_lsm_v(0)%start_index(j,i) |
---|
604 | surf_e = surf_lsm_v(0)%end_index(j,i) |
---|
605 | DO m = surf_s, surf_e |
---|
606 | k = surf_lsm_v(0)%k(m) |
---|
607 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy |
---|
608 | ENDDO |
---|
609 | ! |
---|
610 | !-- South-facing |
---|
611 | surf_s = surf_lsm_v(1)%start_index(j,i) |
---|
612 | surf_e = surf_lsm_v(1)%end_index(j,i) |
---|
613 | DO m = surf_s, surf_e |
---|
614 | k = surf_lsm_v(1)%k(m) |
---|
615 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy |
---|
616 | ENDDO |
---|
617 | ! |
---|
618 | !-- East-facing |
---|
619 | surf_s = surf_lsm_v(2)%start_index(j,i) |
---|
620 | surf_e = surf_lsm_v(2)%end_index(j,i) |
---|
621 | DO m = surf_s, surf_e |
---|
622 | k = surf_lsm_v(2)%k(m) |
---|
623 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx |
---|
624 | ENDDO |
---|
625 | ! |
---|
626 | !-- West-facing |
---|
627 | surf_s = surf_lsm_v(3)%start_index(j,i) |
---|
628 | surf_e = surf_lsm_v(3)%end_index(j,i) |
---|
629 | DO m = surf_s, surf_e |
---|
630 | k = surf_lsm_v(3)%k(m) |
---|
631 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx |
---|
632 | ENDDO |
---|
633 | ! |
---|
634 | !-- Now, for urban-type surfaces |
---|
635 | !-- North-facing |
---|
636 | surf_s = surf_usm_v(0)%start_index(j,i) |
---|
637 | surf_e = surf_usm_v(0)%end_index(j,i) |
---|
638 | DO m = surf_s, surf_e |
---|
639 | k = surf_usm_v(0)%k(m) |
---|
640 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy |
---|
641 | ENDDO |
---|
642 | ! |
---|
643 | !-- South-facing |
---|
644 | surf_s = surf_usm_v(1)%start_index(j,i) |
---|
645 | surf_e = surf_usm_v(1)%end_index(j,i) |
---|
646 | DO m = surf_s, surf_e |
---|
647 | k = surf_usm_v(1)%k(m) |
---|
648 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy |
---|
649 | ENDDO |
---|
650 | ! |
---|
651 | !-- East-facing |
---|
652 | surf_s = surf_usm_v(2)%start_index(j,i) |
---|
653 | surf_e = surf_usm_v(2)%end_index(j,i) |
---|
654 | DO m = surf_s, surf_e |
---|
655 | k = surf_usm_v(2)%k(m) |
---|
656 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx |
---|
657 | ENDDO |
---|
658 | ! |
---|
659 | !-- West-facing |
---|
660 | surf_s = surf_usm_v(3)%start_index(j,i) |
---|
661 | surf_e = surf_usm_v(3)%end_index(j,i) |
---|
662 | DO m = surf_s, surf_e |
---|
663 | k = surf_usm_v(3)%k(m) |
---|
664 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx |
---|
665 | ENDDO |
---|
666 | |
---|
667 | |
---|
668 | ! |
---|
669 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
670 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
671 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
---|
672 | !-- is given. |
---|
673 | DO k = nzb+1, nzt |
---|
674 | ! |
---|
675 | !-- Determine flags to mask topography below and above. Flag 0 is |
---|
676 | !-- used to mask topography in general, and flag 8 implies |
---|
677 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
678 | !-- flux at model top. |
---|
679 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
680 | BTEST( wall_flags_0(k-1,j,i), 8 ) ) |
---|
681 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
682 | BTEST( wall_flags_0(k+1,j,i), 8 ) ) * & |
---|
683 | MERGE( 1.0_wp, 0.0_wp, & |
---|
684 | BTEST( wall_flags_0(k+1,j,i), 9 ) ) |
---|
685 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
686 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
687 | |
---|
688 | tend(k,j,i) = tend(k,j,i) & |
---|
689 | + 0.5_wp * ( & |
---|
690 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
---|
691 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
692 | * rho_air_zw(k) & |
---|
693 | * mask_top & |
---|
694 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
---|
695 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
696 | * rho_air_zw(k-1) & |
---|
697 | * mask_bottom & |
---|
698 | ) * ddzw(k) * drho_air(k) & |
---|
699 | * flag |
---|
700 | ENDDO |
---|
701 | |
---|
702 | ! |
---|
703 | !-- Vertical diffusion at horizontal walls. |
---|
704 | !-- TO DO: Adjust for downward facing walls and mask already in main loop |
---|
705 | IF ( use_surface_fluxes ) THEN |
---|
706 | ! |
---|
707 | !-- Default-type surfaces, upward-facing |
---|
708 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
709 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
710 | DO m = surf_s, surf_e |
---|
711 | |
---|
712 | k = surf_def_h(0)%k(m) |
---|
713 | |
---|
714 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
---|
715 | * ddzw(k) * drho_air(k) |
---|
716 | ENDDO |
---|
717 | ! |
---|
718 | !-- Default-type surfaces, downward-facing |
---|
719 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
720 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
721 | DO m = surf_s, surf_e |
---|
722 | |
---|
723 | k = surf_def_h(1)%k(m) |
---|
724 | |
---|
725 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
---|
726 | * ddzw(k) * drho_air(k) |
---|
727 | ENDDO |
---|
728 | ! |
---|
729 | !-- Natural-type surfaces, upward-facing |
---|
730 | surf_s = surf_lsm_h%start_index(j,i) |
---|
731 | surf_e = surf_lsm_h%end_index(j,i) |
---|
732 | DO m = surf_s, surf_e |
---|
733 | k = surf_lsm_h%k(m) |
---|
734 | |
---|
735 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
---|
736 | * ddzw(k) * drho_air(k) |
---|
737 | ENDDO |
---|
738 | ! |
---|
739 | !-- Urban-type surfaces, upward-facing |
---|
740 | surf_s = surf_usm_h%start_index(j,i) |
---|
741 | surf_e = surf_usm_h%end_index(j,i) |
---|
742 | DO m = surf_s, surf_e |
---|
743 | k = surf_usm_h%k(m) |
---|
744 | |
---|
745 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
---|
746 | * ddzw(k) * drho_air(k) |
---|
747 | ENDDO |
---|
748 | ENDIF |
---|
749 | ! |
---|
750 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
---|
751 | IF ( use_top_fluxes ) THEN |
---|
752 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
753 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
754 | DO m = surf_s, surf_e |
---|
755 | |
---|
756 | k = surf_def_h(2)%k(m) |
---|
757 | tend(k,j,i) = tend(k,j,i) & |
---|
758 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
---|
759 | ENDDO |
---|
760 | ENDIF |
---|
761 | |
---|
762 | END SUBROUTINE diffusion_s_ij |
---|
763 | |
---|
764 | END MODULE diffusion_s_mod |
---|