1 | !> @file production_e.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 1997-2015 Leibniz Universitaet Hannover |
---|
17 | !--------------------------------------------------------------------------------! |
---|
18 | ! |
---|
19 | ! Current revisions: |
---|
20 | ! ----------------- |
---|
21 | ! |
---|
22 | ! |
---|
23 | ! Former revisions: |
---|
24 | ! ----------------- |
---|
25 | ! $Id: production_e.f90 1692 2015-10-26 16:29:17Z maronga $ |
---|
26 | ! |
---|
27 | ! 1691 2015-10-26 16:17:44Z maronga |
---|
28 | ! Renamed prandtl_layer to constant_flux_layer. |
---|
29 | ! |
---|
30 | ! 1682 2015-10-07 23:56:08Z knoop |
---|
31 | ! Code annotations made doxygen readable |
---|
32 | ! |
---|
33 | ! 1374 2014-04-25 12:55:07Z raasch |
---|
34 | ! nzb_s_outer removed from acc-present-list |
---|
35 | ! |
---|
36 | ! 1353 2014-04-08 15:21:23Z heinze |
---|
37 | ! REAL constants provided with KIND-attribute |
---|
38 | ! |
---|
39 | ! 1342 2014-03-26 17:04:47Z kanani |
---|
40 | ! REAL constants defined as wp-kind |
---|
41 | ! |
---|
42 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
43 | ! ONLY-attribute added to USE-statements, |
---|
44 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
45 | ! kinds are defined in new module kinds, |
---|
46 | ! old module precision_kind is removed, |
---|
47 | ! revision history before 2012 removed, |
---|
48 | ! comment fields (!:) to be used for variable explanations added to |
---|
49 | ! all variable declaration statements |
---|
50 | ! |
---|
51 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
52 | ! openacc loop and loop vector clauses removed, declare create moved after |
---|
53 | ! the FORTRAN declaration statement |
---|
54 | ! |
---|
55 | ! 1179 2013-06-14 05:57:58Z raasch |
---|
56 | ! use_reference renamed use_single_reference_value |
---|
57 | ! |
---|
58 | ! 1128 2013-04-12 06:19:32Z raasch |
---|
59 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
---|
60 | ! j_north |
---|
61 | ! |
---|
62 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
63 | ! code put under GPL (PALM 3.9) |
---|
64 | ! |
---|
65 | ! 1015 2012-09-27 09:23:24Z raasch |
---|
66 | ! accelerator version (*_acc) added |
---|
67 | ! |
---|
68 | ! 1007 2012-09-19 14:30:36Z franke |
---|
69 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
---|
70 | ! mixing ratio in case of cloud droplets |
---|
71 | ! |
---|
72 | ! 940 2012-07-09 14:31:00Z raasch |
---|
73 | ! TKE production by buoyancy can be switched off in case of runs with pure |
---|
74 | ! neutral stratification |
---|
75 | ! |
---|
76 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
---|
77 | ! Initial revision |
---|
78 | ! |
---|
79 | ! |
---|
80 | ! Description: |
---|
81 | ! ------------ |
---|
82 | !> Production terms (shear + buoyancy) of the TKE. |
---|
83 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
---|
84 | !> not considered well! |
---|
85 | !------------------------------------------------------------------------------! |
---|
86 | MODULE production_e_mod |
---|
87 | |
---|
88 | |
---|
89 | USE wall_fluxes_mod, & |
---|
90 | ONLY: wall_fluxes_e, wall_fluxes_e_acc |
---|
91 | |
---|
92 | USE kinds |
---|
93 | |
---|
94 | PRIVATE |
---|
95 | PUBLIC production_e, production_e_acc, production_e_init |
---|
96 | |
---|
97 | LOGICAL, SAVE :: first_call = .TRUE. !< |
---|
98 | |
---|
99 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0 !< |
---|
100 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: v_0 !< |
---|
101 | |
---|
102 | INTERFACE production_e |
---|
103 | MODULE PROCEDURE production_e |
---|
104 | MODULE PROCEDURE production_e_ij |
---|
105 | END INTERFACE production_e |
---|
106 | |
---|
107 | INTERFACE production_e_acc |
---|
108 | MODULE PROCEDURE production_e_acc |
---|
109 | END INTERFACE production_e_acc |
---|
110 | |
---|
111 | INTERFACE production_e_init |
---|
112 | MODULE PROCEDURE production_e_init |
---|
113 | END INTERFACE production_e_init |
---|
114 | |
---|
115 | CONTAINS |
---|
116 | |
---|
117 | |
---|
118 | !------------------------------------------------------------------------------! |
---|
119 | ! Description: |
---|
120 | ! ------------ |
---|
121 | !> Call for all grid points |
---|
122 | !------------------------------------------------------------------------------! |
---|
123 | SUBROUTINE production_e |
---|
124 | |
---|
125 | USE arrays_3d, & |
---|
126 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
---|
127 | tend, tswst, u, v, vpt, w |
---|
128 | |
---|
129 | USE cloud_parameters, & |
---|
130 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
131 | |
---|
132 | USE control_parameters, & |
---|
133 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
134 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
135 | rho_reference, use_single_reference_value, & |
---|
136 | use_surface_fluxes, use_top_fluxes |
---|
137 | |
---|
138 | USE grid_variables, & |
---|
139 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
---|
140 | |
---|
141 | USE indices, & |
---|
142 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
---|
143 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
---|
144 | |
---|
145 | IMPLICIT NONE |
---|
146 | |
---|
147 | INTEGER(iwp) :: i !< |
---|
148 | INTEGER(iwp) :: j !< |
---|
149 | INTEGER(iwp) :: k !< |
---|
150 | |
---|
151 | REAL(wp) :: def !< |
---|
152 | REAL(wp) :: dudx !< |
---|
153 | REAL(wp) :: dudy !< |
---|
154 | REAL(wp) :: dudz !< |
---|
155 | REAL(wp) :: dvdx !< |
---|
156 | REAL(wp) :: dvdy !< |
---|
157 | REAL(wp) :: dvdz !< |
---|
158 | REAL(wp) :: dwdx !< |
---|
159 | REAL(wp) :: dwdy !< |
---|
160 | REAL(wp) :: dwdz !< |
---|
161 | REAL(wp) :: k1 !< |
---|
162 | REAL(wp) :: k2 !< |
---|
163 | REAL(wp) :: km_neutral !< |
---|
164 | REAL(wp) :: theta !< |
---|
165 | REAL(wp) :: temp !< |
---|
166 | |
---|
167 | ! REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
---|
168 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
---|
169 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
---|
170 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
---|
171 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
---|
172 | |
---|
173 | ! |
---|
174 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
---|
175 | !-- vertical walls, if neccessary |
---|
176 | !-- So far, results are slightly different from the ij-Version. |
---|
177 | !-- Therefore, ij-Version is called further below within the ij-loops. |
---|
178 | ! IF ( topography /= 'flat' ) THEN |
---|
179 | ! CALL wall_fluxes_e( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
---|
180 | ! CALL wall_fluxes_e( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
---|
181 | ! CALL wall_fluxes_e( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
---|
182 | ! CALL wall_fluxes_e( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) |
---|
183 | ! ENDIF |
---|
184 | |
---|
185 | |
---|
186 | DO i = nxl, nxr |
---|
187 | |
---|
188 | ! |
---|
189 | !-- Calculate TKE production by shear |
---|
190 | DO j = nys, nyn |
---|
191 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
192 | |
---|
193 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
194 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
195 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
196 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
197 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
198 | |
---|
199 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
200 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
201 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
202 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
203 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
204 | |
---|
205 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
206 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
207 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
208 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
209 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
210 | |
---|
211 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
212 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
213 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
214 | |
---|
215 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
216 | |
---|
217 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
218 | |
---|
219 | ENDDO |
---|
220 | ENDDO |
---|
221 | |
---|
222 | IF ( constant_flux_layer ) THEN |
---|
223 | |
---|
224 | ! |
---|
225 | !-- Position beneath wall |
---|
226 | !-- (2) - Will allways be executed. |
---|
227 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
228 | DO j = nys, nyn |
---|
229 | |
---|
230 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
---|
231 | THEN |
---|
232 | |
---|
233 | k = nzb_diff_s_inner(j,i) - 1 |
---|
234 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
235 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
236 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
237 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
238 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
239 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
240 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
241 | |
---|
242 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
243 | ! |
---|
244 | !-- Inconsistency removed: as the thermal stratification is |
---|
245 | !-- not taken into account for the evaluation of the wall |
---|
246 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
247 | !-- be used for the evaluation of the velocity gradients dudy |
---|
248 | !-- and dwdy |
---|
249 | !-- Note: The validity of the new method has not yet been |
---|
250 | !-- shown, as so far no suitable data for a validation |
---|
251 | !-- has been available |
---|
252 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
253 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
---|
254 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
255 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
---|
256 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
---|
257 | 0.5_wp * dy |
---|
258 | IF ( km_neutral > 0.0_wp ) THEN |
---|
259 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
260 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
261 | ELSE |
---|
262 | dudy = 0.0_wp |
---|
263 | dwdy = 0.0_wp |
---|
264 | ENDIF |
---|
265 | ELSE |
---|
266 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
267 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
268 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
269 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
270 | ENDIF |
---|
271 | |
---|
272 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
273 | ! |
---|
274 | !-- Inconsistency removed: as the thermal stratification is |
---|
275 | !-- not taken into account for the evaluation of the wall |
---|
276 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
277 | !-- be used for the evaluation of the velocity gradients dvdx |
---|
278 | !-- and dwdx |
---|
279 | !-- Note: The validity of the new method has not yet been |
---|
280 | !-- shown, as so far no suitable data for a validation |
---|
281 | !-- has been available |
---|
282 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
283 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
284 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
285 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
---|
286 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
---|
287 | 0.5_wp * dx |
---|
288 | IF ( km_neutral > 0.0_wp ) THEN |
---|
289 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
290 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
291 | ELSE |
---|
292 | dvdx = 0.0_wp |
---|
293 | dwdx = 0.0_wp |
---|
294 | ENDIF |
---|
295 | ELSE |
---|
296 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
297 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
298 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
299 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
300 | ENDIF |
---|
301 | |
---|
302 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
303 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
304 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
305 | |
---|
306 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
307 | |
---|
308 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
309 | |
---|
310 | |
---|
311 | ! |
---|
312 | !-- (3) - will be executed only, if there is at least one level |
---|
313 | !-- between (2) and (4), i.e. the topography must have a |
---|
314 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
315 | !-- already been calculated for (2). |
---|
316 | !-- 'wall only: use wall functions' |
---|
317 | |
---|
318 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
319 | |
---|
320 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
321 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
322 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
323 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
324 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
325 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
326 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
327 | |
---|
328 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
329 | ! |
---|
330 | !-- Inconsistency removed: as the thermal stratification |
---|
331 | !-- is not taken into account for the evaluation of the |
---|
332 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
333 | !-- must not be used for the evaluation of the velocity |
---|
334 | !-- gradients dudy and dwdy |
---|
335 | !-- Note: The validity of the new method has not yet |
---|
336 | !-- been shown, as so far no suitable data for a |
---|
337 | !-- validation has been available |
---|
338 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
339 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
---|
340 | IF ( km_neutral > 0.0_wp ) THEN |
---|
341 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
342 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
343 | ELSE |
---|
344 | dudy = 0.0_wp |
---|
345 | dwdy = 0.0_wp |
---|
346 | ENDIF |
---|
347 | ELSE |
---|
348 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
349 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
350 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
351 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
352 | ENDIF |
---|
353 | |
---|
354 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
355 | ! |
---|
356 | !-- Inconsistency removed: as the thermal stratification |
---|
357 | !-- is not taken into account for the evaluation of the |
---|
358 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
359 | !-- must not be used for the evaluation of the velocity |
---|
360 | !-- gradients dvdx and dwdx |
---|
361 | !-- Note: The validity of the new method has not yet |
---|
362 | !-- been shown, as so far no suitable data for a |
---|
363 | !-- validation has been available |
---|
364 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
365 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
366 | IF ( km_neutral > 0.0_wp ) THEN |
---|
367 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
368 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
369 | ELSE |
---|
370 | dvdx = 0.0_wp |
---|
371 | dwdx = 0.0_wp |
---|
372 | ENDIF |
---|
373 | ELSE |
---|
374 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
375 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
376 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
377 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
378 | ENDIF |
---|
379 | |
---|
380 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
381 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
382 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
383 | |
---|
384 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
385 | |
---|
386 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
387 | |
---|
388 | ENDDO |
---|
389 | |
---|
390 | ENDIF |
---|
391 | |
---|
392 | ENDDO |
---|
393 | |
---|
394 | ! |
---|
395 | !-- (4) - will allways be executed. |
---|
396 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
397 | DO j = nys, nyn |
---|
398 | |
---|
399 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
---|
400 | THEN |
---|
401 | |
---|
402 | k = nzb_diff_s_outer(j,i)-1 |
---|
403 | |
---|
404 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
405 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
406 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
407 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
408 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
409 | |
---|
410 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
411 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
412 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
413 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
414 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
415 | |
---|
416 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
417 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
418 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
419 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
420 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
421 | |
---|
422 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
423 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
424 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
425 | |
---|
426 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
427 | |
---|
428 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
429 | |
---|
430 | ENDIF |
---|
431 | |
---|
432 | ENDDO |
---|
433 | |
---|
434 | ! |
---|
435 | !-- Position without adjacent wall |
---|
436 | !-- (1) - will allways be executed. |
---|
437 | !-- 'bottom only: use u_0,v_0' |
---|
438 | DO j = nys, nyn |
---|
439 | |
---|
440 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
---|
441 | THEN |
---|
442 | |
---|
443 | k = nzb_diff_s_inner(j,i)-1 |
---|
444 | |
---|
445 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
446 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
447 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
448 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
449 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
450 | |
---|
451 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
452 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
453 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
454 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
455 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
456 | |
---|
457 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
458 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
459 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
460 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
461 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
462 | |
---|
463 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
464 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
465 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
466 | |
---|
467 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
468 | |
---|
469 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
470 | |
---|
471 | ENDIF |
---|
472 | |
---|
473 | ENDDO |
---|
474 | |
---|
475 | ELSEIF ( use_surface_fluxes ) THEN |
---|
476 | |
---|
477 | DO j = nys, nyn |
---|
478 | |
---|
479 | k = nzb_diff_s_outer(j,i)-1 |
---|
480 | |
---|
481 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
482 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
483 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
484 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
485 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
486 | |
---|
487 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
488 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
489 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
490 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
491 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
492 | |
---|
493 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
494 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
495 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
496 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
497 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
498 | |
---|
499 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
500 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
501 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
502 | |
---|
503 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
504 | |
---|
505 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
506 | |
---|
507 | ENDDO |
---|
508 | |
---|
509 | ENDIF |
---|
510 | |
---|
511 | ! |
---|
512 | !-- If required, calculate TKE production by buoyancy |
---|
513 | IF ( .NOT. neutral ) THEN |
---|
514 | |
---|
515 | IF ( .NOT. humidity ) THEN |
---|
516 | |
---|
517 | IF ( use_single_reference_value ) THEN |
---|
518 | |
---|
519 | IF ( ocean ) THEN |
---|
520 | ! |
---|
521 | !-- So far in the ocean no special treatment of density flux |
---|
522 | !-- in the bottom and top surface layer |
---|
523 | DO j = nys, nyn |
---|
524 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
525 | tend(k,j,i) = tend(k,j,i) + & |
---|
526 | kh(k,j,i) * g / rho_reference * & |
---|
527 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
528 | dd2zu(k) |
---|
529 | ENDDO |
---|
530 | ENDDO |
---|
531 | |
---|
532 | ELSE |
---|
533 | |
---|
534 | DO j = nys, nyn |
---|
535 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
536 | tend(k,j,i) = tend(k,j,i) - & |
---|
537 | kh(k,j,i) * g / pt_reference * & |
---|
538 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
539 | dd2zu(k) |
---|
540 | ENDDO |
---|
541 | |
---|
542 | IF ( use_surface_fluxes ) THEN |
---|
543 | k = nzb_diff_s_inner(j,i)-1 |
---|
544 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
545 | shf(j,i) |
---|
546 | ENDIF |
---|
547 | |
---|
548 | IF ( use_top_fluxes ) THEN |
---|
549 | k = nzt |
---|
550 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
551 | tswst(j,i) |
---|
552 | ENDIF |
---|
553 | ENDDO |
---|
554 | |
---|
555 | ENDIF |
---|
556 | |
---|
557 | ELSE |
---|
558 | |
---|
559 | IF ( ocean ) THEN |
---|
560 | ! |
---|
561 | !-- So far in the ocean no special treatment of density flux |
---|
562 | !-- in the bottom and top surface layer |
---|
563 | DO j = nys, nyn |
---|
564 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
565 | tend(k,j,i) = tend(k,j,i) + & |
---|
566 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
567 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
568 | dd2zu(k) |
---|
569 | ENDDO |
---|
570 | ENDDO |
---|
571 | |
---|
572 | ELSE |
---|
573 | |
---|
574 | DO j = nys, nyn |
---|
575 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
576 | tend(k,j,i) = tend(k,j,i) - & |
---|
577 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
578 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
579 | dd2zu(k) |
---|
580 | ENDDO |
---|
581 | |
---|
582 | IF ( use_surface_fluxes ) THEN |
---|
583 | k = nzb_diff_s_inner(j,i)-1 |
---|
584 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
585 | shf(j,i) |
---|
586 | ENDIF |
---|
587 | |
---|
588 | IF ( use_top_fluxes ) THEN |
---|
589 | k = nzt |
---|
590 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
591 | tswst(j,i) |
---|
592 | ENDIF |
---|
593 | ENDDO |
---|
594 | |
---|
595 | ENDIF |
---|
596 | |
---|
597 | ENDIF |
---|
598 | |
---|
599 | ELSE |
---|
600 | |
---|
601 | DO j = nys, nyn |
---|
602 | |
---|
603 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
604 | |
---|
605 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
606 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
607 | k2 = 0.61_wp * pt(k,j,i) |
---|
608 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
609 | g / vpt(k,j,i) * & |
---|
610 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
611 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
612 | ) * dd2zu(k) |
---|
613 | ELSE IF ( cloud_physics ) THEN |
---|
614 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
615 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
616 | k2 = 0.61_wp * pt(k,j,i) |
---|
617 | ELSE |
---|
618 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
619 | temp = theta * t_d_pt(k) |
---|
620 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
621 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
622 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
623 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
624 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
625 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
626 | ENDIF |
---|
627 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
628 | g / vpt(k,j,i) * & |
---|
629 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
630 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
631 | ) * dd2zu(k) |
---|
632 | ELSE IF ( cloud_droplets ) THEN |
---|
633 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
634 | k2 = 0.61_wp * pt(k,j,i) |
---|
635 | tend(k,j,i) = tend(k,j,i) - & |
---|
636 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
637 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
638 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
639 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
640 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
641 | ENDIF |
---|
642 | |
---|
643 | ENDDO |
---|
644 | |
---|
645 | ENDDO |
---|
646 | |
---|
647 | IF ( use_surface_fluxes ) THEN |
---|
648 | |
---|
649 | DO j = nys, nyn |
---|
650 | |
---|
651 | k = nzb_diff_s_inner(j,i)-1 |
---|
652 | |
---|
653 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
654 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
655 | k2 = 0.61_wp * pt(k,j,i) |
---|
656 | ELSE IF ( cloud_physics ) THEN |
---|
657 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
658 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
659 | k2 = 0.61_wp * pt(k,j,i) |
---|
660 | ELSE |
---|
661 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
662 | temp = theta * t_d_pt(k) |
---|
663 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
664 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
665 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
666 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
667 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
668 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
669 | ENDIF |
---|
670 | ELSE IF ( cloud_droplets ) THEN |
---|
671 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
672 | k2 = 0.61_wp * pt(k,j,i) |
---|
673 | ENDIF |
---|
674 | |
---|
675 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
676 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
677 | ENDDO |
---|
678 | |
---|
679 | ENDIF |
---|
680 | |
---|
681 | IF ( use_top_fluxes ) THEN |
---|
682 | |
---|
683 | DO j = nys, nyn |
---|
684 | |
---|
685 | k = nzt |
---|
686 | |
---|
687 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
688 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
689 | k2 = 0.61_wp * pt(k,j,i) |
---|
690 | ELSE IF ( cloud_physics ) THEN |
---|
691 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
692 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
693 | k2 = 0.61_wp * pt(k,j,i) |
---|
694 | ELSE |
---|
695 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
696 | temp = theta * t_d_pt(k) |
---|
697 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
698 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
699 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
700 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
701 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
702 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
703 | ENDIF |
---|
704 | ELSE IF ( cloud_droplets ) THEN |
---|
705 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
706 | k2 = 0.61_wp * pt(k,j,i) |
---|
707 | ENDIF |
---|
708 | |
---|
709 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
710 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
711 | ENDDO |
---|
712 | |
---|
713 | ENDIF |
---|
714 | |
---|
715 | ENDIF |
---|
716 | |
---|
717 | ENDIF |
---|
718 | |
---|
719 | ENDDO |
---|
720 | |
---|
721 | END SUBROUTINE production_e |
---|
722 | |
---|
723 | |
---|
724 | !------------------------------------------------------------------------------! |
---|
725 | ! Description: |
---|
726 | ! ------------ |
---|
727 | !> Call for all grid points - accelerator version |
---|
728 | !------------------------------------------------------------------------------! |
---|
729 | SUBROUTINE production_e_acc |
---|
730 | |
---|
731 | USE arrays_3d, & |
---|
732 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
---|
733 | tend, tswst, u, v, vpt, w |
---|
734 | |
---|
735 | USE cloud_parameters, & |
---|
736 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
737 | |
---|
738 | USE control_parameters, & |
---|
739 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
740 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
741 | rho_reference, topography, use_single_reference_value, & |
---|
742 | use_surface_fluxes, use_top_fluxes |
---|
743 | |
---|
744 | USE grid_variables, & |
---|
745 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
---|
746 | |
---|
747 | USE indices, & |
---|
748 | ONLY: i_left, i_right, j_north, j_south, nxl, nxr, nys, nyn, nzb, & |
---|
749 | nzb_diff_s_inner, nzb_diff_s_outer, nzb_s_inner, nzt, & |
---|
750 | nzt_diff |
---|
751 | |
---|
752 | IMPLICIT NONE |
---|
753 | |
---|
754 | INTEGER(iwp) :: i !< |
---|
755 | INTEGER(iwp) :: j !< |
---|
756 | INTEGER(iwp) :: k !< |
---|
757 | |
---|
758 | REAL(wp) :: def !< |
---|
759 | REAL(wp) :: dudx !< |
---|
760 | REAL(wp) :: dudy !< |
---|
761 | REAL(wp) :: dudz !< |
---|
762 | REAL(wp) :: dvdx !< |
---|
763 | REAL(wp) :: dvdy !< |
---|
764 | REAL(wp) :: dvdz !< |
---|
765 | REAL(wp) :: dwdx !< |
---|
766 | REAL(wp) :: dwdy !< |
---|
767 | REAL(wp) :: dwdz !< |
---|
768 | REAL(wp) :: k1 !< |
---|
769 | REAL(wp) :: k2 !< |
---|
770 | REAL(wp) :: km_neutral !< |
---|
771 | REAL(wp) :: theta !< |
---|
772 | REAL(wp) :: temp !< |
---|
773 | |
---|
774 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs !< |
---|
775 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !< |
---|
776 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
---|
777 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
---|
778 | !$acc declare create ( usvs, vsus, wsus, wsvs ) |
---|
779 | |
---|
780 | ! |
---|
781 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
---|
782 | !-- vertical walls, if neccessary |
---|
783 | !-- CAUTION: results are slightly different from the ij-version!! |
---|
784 | !-- ij-version should be called further below within the ij-loops!! |
---|
785 | IF ( topography /= 'flat' ) THEN |
---|
786 | CALL wall_fluxes_e_acc( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
---|
787 | CALL wall_fluxes_e_acc( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
---|
788 | CALL wall_fluxes_e_acc( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
---|
789 | CALL wall_fluxes_e_acc( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) |
---|
790 | ENDIF |
---|
791 | |
---|
792 | |
---|
793 | ! |
---|
794 | !-- Calculate TKE production by shear |
---|
795 | !$acc kernels present( ddzw, dd2zu, kh, km, nzb_diff_s_inner, nzb_diff_s_outer ) & |
---|
796 | !$acc present( nzb_s_inner, pt, q, ql, qsws, qswst, rho ) & |
---|
797 | !$acc present( shf, tend, tswst, u, v, vpt, w, wall_e_x, wall_e_y ) & |
---|
798 | !$acc copyin( u_0, v_0 ) |
---|
799 | DO i = i_left, i_right |
---|
800 | DO j = j_south, j_north |
---|
801 | DO k = 1, nzt |
---|
802 | |
---|
803 | IF ( k >= nzb_diff_s_outer(j,i) ) THEN |
---|
804 | |
---|
805 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
806 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
807 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
808 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
809 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
810 | |
---|
811 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
812 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
813 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
814 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
815 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
816 | |
---|
817 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
818 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
819 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
820 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
821 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
822 | |
---|
823 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
824 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
825 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
826 | |
---|
827 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
828 | |
---|
829 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
830 | |
---|
831 | ENDIF |
---|
832 | |
---|
833 | ENDDO |
---|
834 | ENDDO |
---|
835 | ENDDO |
---|
836 | |
---|
837 | IF ( constant_flux_layer ) THEN |
---|
838 | |
---|
839 | ! |
---|
840 | !-- Position beneath wall |
---|
841 | !-- (2) - Will allways be executed. |
---|
842 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
843 | DO i = i_left, i_right |
---|
844 | DO j = j_south, j_north |
---|
845 | DO k = 1, nzt |
---|
846 | |
---|
847 | IF ( ( wall_e_x(j,i) /= 0.0_wp ).OR.( wall_e_y(j,i) /= 0.0_wp ) ) & |
---|
848 | THEN |
---|
849 | |
---|
850 | IF ( k == nzb_diff_s_inner(j,i) - 1 ) THEN |
---|
851 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
852 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
853 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
854 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
855 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
856 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
857 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
858 | |
---|
859 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
860 | ! |
---|
861 | !-- Inconsistency removed: as the thermal stratification is |
---|
862 | !-- not taken into account for the evaluation of the wall |
---|
863 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
864 | !-- be used for the evaluation of the velocity gradients dudy |
---|
865 | !-- and dwdy |
---|
866 | !-- Note: The validity of the new method has not yet been |
---|
867 | !-- shown, as so far no suitable data for a validation |
---|
868 | !-- has been available |
---|
869 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
870 | ! usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
---|
871 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
872 | ! wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
---|
873 | km_neutral = kappa * & |
---|
874 | ( usvs(k,j,i)**2 + wsvs(k,j,i)**2 )**0.25_wp * & |
---|
875 | 0.5_wp * dy |
---|
876 | IF ( km_neutral > 0.0_wp ) THEN |
---|
877 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
878 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
879 | ELSE |
---|
880 | dudy = 0.0_wp |
---|
881 | dwdy = 0.0_wp |
---|
882 | ENDIF |
---|
883 | ELSE |
---|
884 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
885 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
886 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
887 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
888 | ENDIF |
---|
889 | |
---|
890 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
891 | ! |
---|
892 | !-- Inconsistency removed: as the thermal stratification is |
---|
893 | !-- not taken into account for the evaluation of the wall |
---|
894 | !-- fluxes at vertical walls, the eddy viscosity km must not |
---|
895 | !-- be used for the evaluation of the velocity gradients dvdx |
---|
896 | !-- and dwdx |
---|
897 | !-- Note: The validity of the new method has not yet been |
---|
898 | !-- shown, as so far no suitable data for a validation |
---|
899 | !-- has been available |
---|
900 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
901 | ! vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
902 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
903 | ! wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
---|
904 | km_neutral = kappa * & |
---|
905 | ( vsus(k,j,i)**2 + wsus(k,j,i)**2 )**0.25_wp * & |
---|
906 | 0.5_wp * dx |
---|
907 | IF ( km_neutral > 0.0_wp ) THEN |
---|
908 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
909 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
910 | ELSE |
---|
911 | dvdx = 0.0_wp |
---|
912 | dwdx = 0.0_wp |
---|
913 | ENDIF |
---|
914 | ELSE |
---|
915 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
916 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
917 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
918 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
919 | ENDIF |
---|
920 | |
---|
921 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
922 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
923 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
924 | |
---|
925 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
926 | |
---|
927 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
928 | |
---|
929 | ENDIF |
---|
930 | ! |
---|
931 | !-- (3) - will be executed only, if there is at least one level |
---|
932 | !-- between (2) and (4), i.e. the topography must have a |
---|
933 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
934 | !-- already been calculated for (2). |
---|
935 | !-- 'wall only: use wall functions' |
---|
936 | |
---|
937 | IF ( k >= nzb_diff_s_inner(j,i) .AND. & |
---|
938 | k <= nzb_diff_s_outer(j,i)-2 ) THEN |
---|
939 | |
---|
940 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
941 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
942 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
943 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
944 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
945 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
946 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
947 | |
---|
948 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
949 | ! |
---|
950 | !-- Inconsistency removed: as the thermal stratification |
---|
951 | !-- is not taken into account for the evaluation of the |
---|
952 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
953 | !-- must not be used for the evaluation of the velocity |
---|
954 | !-- gradients dudy and dwdy |
---|
955 | !-- Note: The validity of the new method has not yet |
---|
956 | !-- been shown, as so far no suitable data for a |
---|
957 | !-- validation has been available |
---|
958 | km_neutral = kappa * ( usvs(k,j,i)**2 + & |
---|
959 | wsvs(k,j,i)**2 )**0.25_wp * 0.5_wp * dy |
---|
960 | IF ( km_neutral > 0.0_wp ) THEN |
---|
961 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
---|
962 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
---|
963 | ELSE |
---|
964 | dudy = 0.0_wp |
---|
965 | dwdy = 0.0_wp |
---|
966 | ENDIF |
---|
967 | ELSE |
---|
968 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
969 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
970 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
971 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
972 | ENDIF |
---|
973 | |
---|
974 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
975 | ! |
---|
976 | !-- Inconsistency removed: as the thermal stratification |
---|
977 | !-- is not taken into account for the evaluation of the |
---|
978 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
979 | !-- must not be used for the evaluation of the velocity |
---|
980 | !-- gradients dvdx and dwdx |
---|
981 | !-- Note: The validity of the new method has not yet |
---|
982 | !-- been shown, as so far no suitable data for a |
---|
983 | !-- validation has been available |
---|
984 | km_neutral = kappa * ( vsus(k,j,i)**2 + & |
---|
985 | wsus(k,j,i)**2 )**0.25_wp * 0.5_wp * dx |
---|
986 | IF ( km_neutral > 0.0_wp ) THEN |
---|
987 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
---|
988 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
---|
989 | ELSE |
---|
990 | dvdx = 0.0_wp |
---|
991 | dwdx = 0.0_wp |
---|
992 | ENDIF |
---|
993 | ELSE |
---|
994 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
995 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
996 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
997 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
998 | ENDIF |
---|
999 | |
---|
1000 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1001 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1002 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1003 | |
---|
1004 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1005 | |
---|
1006 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1007 | |
---|
1008 | ENDIF |
---|
1009 | |
---|
1010 | ! |
---|
1011 | !-- (4) - will allways be executed. |
---|
1012 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
1013 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
1014 | |
---|
1015 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1016 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1017 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1018 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1019 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1020 | |
---|
1021 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1022 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1023 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1024 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1025 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1026 | |
---|
1027 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1028 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1029 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1030 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1031 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1032 | |
---|
1033 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1034 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1035 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1036 | |
---|
1037 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1038 | |
---|
1039 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1040 | |
---|
1041 | ENDIF |
---|
1042 | |
---|
1043 | ENDIF |
---|
1044 | |
---|
1045 | ENDDO |
---|
1046 | ENDDO |
---|
1047 | ENDDO |
---|
1048 | |
---|
1049 | ! |
---|
1050 | !-- Position without adjacent wall |
---|
1051 | !-- (1) - will allways be executed. |
---|
1052 | !-- 'bottom only: use u_0,v_0' |
---|
1053 | DO i = i_left, i_right |
---|
1054 | DO j = j_south, j_north |
---|
1055 | DO k = 1, nzt |
---|
1056 | |
---|
1057 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
---|
1058 | THEN |
---|
1059 | |
---|
1060 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1061 | |
---|
1062 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1063 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1064 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1065 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1066 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1067 | |
---|
1068 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1069 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1070 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1071 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1072 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1073 | |
---|
1074 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1075 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1076 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1077 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1078 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1079 | |
---|
1080 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1081 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1082 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1083 | |
---|
1084 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1085 | |
---|
1086 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1087 | |
---|
1088 | ENDIF |
---|
1089 | |
---|
1090 | ENDIF |
---|
1091 | |
---|
1092 | ENDDO |
---|
1093 | ENDDO |
---|
1094 | ENDDO |
---|
1095 | |
---|
1096 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1097 | |
---|
1098 | DO i = i_left, i_right |
---|
1099 | DO j = j_south, j_north |
---|
1100 | DO k = 1, nzt |
---|
1101 | |
---|
1102 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
---|
1103 | |
---|
1104 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1105 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1106 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1107 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1108 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1109 | |
---|
1110 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1111 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1112 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1113 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1114 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1115 | |
---|
1116 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1117 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1118 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1119 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1120 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1121 | |
---|
1122 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1123 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1124 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1125 | |
---|
1126 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1127 | |
---|
1128 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1129 | |
---|
1130 | ENDIF |
---|
1131 | |
---|
1132 | ENDDO |
---|
1133 | ENDDO |
---|
1134 | ENDDO |
---|
1135 | |
---|
1136 | ENDIF |
---|
1137 | |
---|
1138 | ! |
---|
1139 | !-- If required, calculate TKE production by buoyancy |
---|
1140 | IF ( .NOT. neutral ) THEN |
---|
1141 | |
---|
1142 | IF ( .NOT. humidity ) THEN |
---|
1143 | |
---|
1144 | IF ( use_single_reference_value ) THEN |
---|
1145 | |
---|
1146 | IF ( ocean ) THEN |
---|
1147 | ! |
---|
1148 | !-- So far in the ocean no special treatment of density flux |
---|
1149 | !-- in the bottom and top surface layer |
---|
1150 | DO i = i_left, i_right |
---|
1151 | DO j = j_south, j_north |
---|
1152 | DO k = 1, nzt |
---|
1153 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1154 | tend(k,j,i) = tend(k,j,i) + & |
---|
1155 | kh(k,j,i) * g / rho_reference * & |
---|
1156 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1157 | dd2zu(k) |
---|
1158 | ENDIF |
---|
1159 | ENDDO |
---|
1160 | ENDDO |
---|
1161 | ENDDO |
---|
1162 | |
---|
1163 | ELSE |
---|
1164 | |
---|
1165 | DO i = i_left, i_right |
---|
1166 | DO j = j_south, j_north |
---|
1167 | DO k = 1, nzt_diff |
---|
1168 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1169 | tend(k,j,i) = tend(k,j,i) - & |
---|
1170 | kh(k,j,i) * g / pt_reference * & |
---|
1171 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1172 | dd2zu(k) |
---|
1173 | ENDIF |
---|
1174 | |
---|
1175 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1176 | use_surface_fluxes ) THEN |
---|
1177 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1178 | shf(j,i) |
---|
1179 | ENDIF |
---|
1180 | |
---|
1181 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1182 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
1183 | tswst(j,i) |
---|
1184 | ENDIF |
---|
1185 | ENDDO |
---|
1186 | ENDDO |
---|
1187 | ENDDO |
---|
1188 | |
---|
1189 | ENDIF |
---|
1190 | |
---|
1191 | ELSE |
---|
1192 | |
---|
1193 | IF ( ocean ) THEN |
---|
1194 | ! |
---|
1195 | !-- So far in the ocean no special treatment of density flux |
---|
1196 | !-- in the bottom and top surface layer |
---|
1197 | DO i = i_left, i_right |
---|
1198 | DO j = j_south, j_north |
---|
1199 | DO k = 1, nzt |
---|
1200 | IF ( k > nzb_s_inner(j,i) ) THEN |
---|
1201 | tend(k,j,i) = tend(k,j,i) + & |
---|
1202 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1203 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
---|
1204 | dd2zu(k) |
---|
1205 | ENDIF |
---|
1206 | ENDDO |
---|
1207 | ENDDO |
---|
1208 | ENDDO |
---|
1209 | |
---|
1210 | ELSE |
---|
1211 | |
---|
1212 | DO i = i_left, i_right |
---|
1213 | DO j = j_south, j_north |
---|
1214 | DO k = 1, nzt_diff |
---|
1215 | IF( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1216 | tend(k,j,i) = tend(k,j,i) - & |
---|
1217 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1218 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
1219 | dd2zu(k) |
---|
1220 | ENDIF |
---|
1221 | |
---|
1222 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
---|
1223 | use_surface_fluxes ) THEN |
---|
1224 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1225 | shf(j,i) |
---|
1226 | ENDIF |
---|
1227 | |
---|
1228 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
---|
1229 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
1230 | tswst(j,i) |
---|
1231 | ENDIF |
---|
1232 | ENDDO |
---|
1233 | ENDDO |
---|
1234 | ENDDO |
---|
1235 | |
---|
1236 | ENDIF |
---|
1237 | |
---|
1238 | ENDIF |
---|
1239 | |
---|
1240 | ELSE |
---|
1241 | ! |
---|
1242 | !++ This part gives the PGI compiler problems in the previous loop |
---|
1243 | !++ even without any acc statements???? |
---|
1244 | ! STOP '+++ production_e problems with acc-directives' |
---|
1245 | ! !acc loop |
---|
1246 | ! DO i = nxl, nxr |
---|
1247 | ! DO j = nys, nyn |
---|
1248 | ! !acc loop vector |
---|
1249 | ! DO k = 1, nzt_diff |
---|
1250 | ! |
---|
1251 | ! IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
---|
1252 | ! |
---|
1253 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1254 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1255 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1256 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1257 | ! g / vpt(k,j,i) * & |
---|
1258 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1259 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1260 | ! ) * dd2zu(k) |
---|
1261 | ! ELSE IF ( cloud_physics ) THEN |
---|
1262 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1263 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1264 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1265 | ! ELSE |
---|
1266 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1267 | ! temp = theta * t_d_pt(k) |
---|
1268 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1269 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1270 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
1271 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1272 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1273 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1274 | ! ENDIF |
---|
1275 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
1276 | ! g / vpt(k,j,i) * & |
---|
1277 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1278 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1279 | ! ) * dd2zu(k) |
---|
1280 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1281 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1282 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1283 | ! tend(k,j,i) = tend(k,j,i) - & |
---|
1284 | ! kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1285 | ! ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
1286 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1287 | ! pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1288 | ! ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1289 | ! ENDIF |
---|
1290 | ! |
---|
1291 | ! ENDIF |
---|
1292 | ! |
---|
1293 | ! ENDDO |
---|
1294 | ! ENDDO |
---|
1295 | ! ENDDO |
---|
1296 | ! |
---|
1297 | |
---|
1298 | !!++ Next two loops are probably very inefficiently parallellized |
---|
1299 | !!++ and will require better optimization |
---|
1300 | ! IF ( use_surface_fluxes ) THEN |
---|
1301 | ! |
---|
1302 | ! !acc loop |
---|
1303 | ! DO i = nxl, nxr |
---|
1304 | ! DO j = nys, nyn |
---|
1305 | ! !acc loop vector |
---|
1306 | ! DO k = 1, nzt_diff |
---|
1307 | ! |
---|
1308 | ! IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
---|
1309 | ! |
---|
1310 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1311 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1312 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1313 | ! ELSE IF ( cloud_physics ) THEN |
---|
1314 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1315 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1316 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1317 | ! ELSE |
---|
1318 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1319 | ! temp = theta * t_d_pt(k) |
---|
1320 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1321 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1322 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) /& |
---|
1323 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1324 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1325 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1326 | ! ENDIF |
---|
1327 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1328 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1329 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1330 | ! ENDIF |
---|
1331 | ! |
---|
1332 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1333 | ! ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1334 | ! ENDIF |
---|
1335 | ! |
---|
1336 | ! ENDDO |
---|
1337 | ! ENDDO |
---|
1338 | ! ENDDO |
---|
1339 | ! |
---|
1340 | ! ENDIF |
---|
1341 | ! |
---|
1342 | ! IF ( use_top_fluxes ) THEN |
---|
1343 | ! |
---|
1344 | ! !acc loop |
---|
1345 | ! DO i = nxl, nxr |
---|
1346 | ! DO j = nys, nyn |
---|
1347 | ! !acc loop vector |
---|
1348 | ! DO k = 1, nzt |
---|
1349 | ! IF ( k == nzt ) THEN |
---|
1350 | ! |
---|
1351 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1352 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1353 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1354 | ! ELSE IF ( cloud_physics ) THEN |
---|
1355 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1356 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1357 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1358 | ! ELSE |
---|
1359 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1360 | ! temp = theta * t_d_pt(k) |
---|
1361 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1362 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1363 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) /& |
---|
1364 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1365 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1366 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1367 | ! ENDIF |
---|
1368 | ! ELSE IF ( cloud_droplets ) THEN |
---|
1369 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1370 | ! k2 = 0.61_wp * pt(k,j,i) |
---|
1371 | ! ENDIF |
---|
1372 | ! |
---|
1373 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1374 | ! ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1375 | ! |
---|
1376 | ! ENDIF |
---|
1377 | ! |
---|
1378 | ! ENDDO |
---|
1379 | ! ENDDO |
---|
1380 | ! ENDDO |
---|
1381 | ! |
---|
1382 | ! ENDIF |
---|
1383 | |
---|
1384 | ENDIF |
---|
1385 | |
---|
1386 | ENDIF |
---|
1387 | !$acc end kernels |
---|
1388 | |
---|
1389 | END SUBROUTINE production_e_acc |
---|
1390 | |
---|
1391 | |
---|
1392 | !------------------------------------------------------------------------------! |
---|
1393 | ! Description: |
---|
1394 | ! ------------ |
---|
1395 | !> Call for grid point i,j |
---|
1396 | !------------------------------------------------------------------------------! |
---|
1397 | SUBROUTINE production_e_ij( i, j ) |
---|
1398 | |
---|
1399 | USE arrays_3d, & |
---|
1400 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
---|
1401 | tend, tswst, u, v, vpt, w |
---|
1402 | |
---|
1403 | USE cloud_parameters, & |
---|
1404 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
1405 | |
---|
1406 | USE control_parameters, & |
---|
1407 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
1408 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
1409 | rho_reference, use_single_reference_value, & |
---|
1410 | use_surface_fluxes, use_top_fluxes |
---|
1411 | |
---|
1412 | USE grid_variables, & |
---|
1413 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
---|
1414 | |
---|
1415 | USE indices, & |
---|
1416 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
---|
1417 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
---|
1418 | |
---|
1419 | IMPLICIT NONE |
---|
1420 | |
---|
1421 | INTEGER(iwp) :: i !< |
---|
1422 | INTEGER(iwp) :: j !< |
---|
1423 | INTEGER(iwp) :: k !< |
---|
1424 | |
---|
1425 | REAL(wp) :: def !< |
---|
1426 | REAL(wp) :: dudx !< |
---|
1427 | REAL(wp) :: dudy !< |
---|
1428 | REAL(wp) :: dudz !< |
---|
1429 | REAL(wp) :: dvdx !< |
---|
1430 | REAL(wp) :: dvdy !< |
---|
1431 | REAL(wp) :: dvdz !< |
---|
1432 | REAL(wp) :: dwdx !< |
---|
1433 | REAL(wp) :: dwdy !< |
---|
1434 | REAL(wp) :: dwdz !< |
---|
1435 | REAL(wp) :: k1 !< |
---|
1436 | REAL(wp) :: k2 !< |
---|
1437 | REAL(wp) :: km_neutral !< |
---|
1438 | REAL(wp) :: theta !< |
---|
1439 | REAL(wp) :: temp !< |
---|
1440 | |
---|
1441 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
---|
1442 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
---|
1443 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
---|
1444 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
---|
1445 | |
---|
1446 | ! |
---|
1447 | !-- Calculate TKE production by shear |
---|
1448 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
1449 | |
---|
1450 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1451 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1452 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1453 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1454 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1455 | |
---|
1456 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1457 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1458 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1459 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1460 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1461 | |
---|
1462 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1463 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1464 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1465 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1466 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1467 | |
---|
1468 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1469 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1470 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1471 | |
---|
1472 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1473 | |
---|
1474 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1475 | |
---|
1476 | ENDDO |
---|
1477 | |
---|
1478 | IF ( constant_flux_layer ) THEN |
---|
1479 | |
---|
1480 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) THEN |
---|
1481 | |
---|
1482 | ! |
---|
1483 | !-- Position beneath wall |
---|
1484 | !-- (2) - Will allways be executed. |
---|
1485 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
1486 | k = nzb_diff_s_inner(j,i)-1 |
---|
1487 | |
---|
1488 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1489 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1490 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1491 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1492 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1493 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1494 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1495 | |
---|
1496 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
1497 | ! |
---|
1498 | !-- Inconsistency removed: as the thermal stratification |
---|
1499 | !-- is not taken into account for the evaluation of the |
---|
1500 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1501 | !-- must not be used for the evaluation of the velocity |
---|
1502 | !-- gradients dudy and dwdy |
---|
1503 | !-- Note: The validity of the new method has not yet |
---|
1504 | !-- been shown, as so far no suitable data for a |
---|
1505 | !-- validation has been available |
---|
1506 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1507 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
---|
1508 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1509 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
---|
1510 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
---|
1511 | 0.5_wp * dy |
---|
1512 | IF ( km_neutral > 0.0_wp ) THEN |
---|
1513 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1514 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1515 | ELSE |
---|
1516 | dudy = 0.0_wp |
---|
1517 | dwdy = 0.0_wp |
---|
1518 | ENDIF |
---|
1519 | ELSE |
---|
1520 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1521 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1522 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1523 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1524 | ENDIF |
---|
1525 | |
---|
1526 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
1527 | ! |
---|
1528 | !-- Inconsistency removed: as the thermal stratification |
---|
1529 | !-- is not taken into account for the evaluation of the |
---|
1530 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1531 | !-- must not be used for the evaluation of the velocity |
---|
1532 | !-- gradients dvdx and dwdx |
---|
1533 | !-- Note: The validity of the new method has not yet |
---|
1534 | !-- been shown, as so far no suitable data for a |
---|
1535 | !-- validation has been available |
---|
1536 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1537 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
1538 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
1539 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
---|
1540 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
---|
1541 | 0.5_wp * dx |
---|
1542 | IF ( km_neutral > 0.0_wp ) THEN |
---|
1543 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1544 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1545 | ELSE |
---|
1546 | dvdx = 0.0_wp |
---|
1547 | dwdx = 0.0_wp |
---|
1548 | ENDIF |
---|
1549 | ELSE |
---|
1550 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1551 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1552 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1553 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1554 | ENDIF |
---|
1555 | |
---|
1556 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1557 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1558 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1559 | |
---|
1560 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1561 | |
---|
1562 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1563 | |
---|
1564 | ! |
---|
1565 | !-- (3) - will be executed only, if there is at least one level |
---|
1566 | !-- between (2) and (4), i.e. the topography must have a |
---|
1567 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
1568 | !-- already been calculated for (2). |
---|
1569 | !-- 'wall only: use wall functions' |
---|
1570 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
1571 | |
---|
1572 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1573 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1574 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1575 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1576 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1577 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1578 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1579 | |
---|
1580 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
1581 | ! |
---|
1582 | !-- Inconsistency removed: as the thermal stratification |
---|
1583 | !-- is not taken into account for the evaluation of the |
---|
1584 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1585 | !-- must not be used for the evaluation of the velocity |
---|
1586 | !-- gradients dudy and dwdy |
---|
1587 | !-- Note: The validity of the new method has not yet |
---|
1588 | !-- been shown, as so far no suitable data for a |
---|
1589 | !-- validation has been available |
---|
1590 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
1591 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
---|
1592 | IF ( km_neutral > 0.0_wp ) THEN |
---|
1593 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
1594 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
1595 | ELSE |
---|
1596 | dudy = 0.0_wp |
---|
1597 | dwdy = 0.0_wp |
---|
1598 | ENDIF |
---|
1599 | ELSE |
---|
1600 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1601 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1602 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1603 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1604 | ENDIF |
---|
1605 | |
---|
1606 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
1607 | ! |
---|
1608 | !-- Inconsistency removed: as the thermal stratification |
---|
1609 | !-- is not taken into account for the evaluation of the |
---|
1610 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
1611 | !-- must not be used for the evaluation of the velocity |
---|
1612 | !-- gradients dvdx and dwdx |
---|
1613 | !-- Note: The validity of the new method has not yet |
---|
1614 | !-- been shown, as so far no suitable data for a |
---|
1615 | !-- validation has been available |
---|
1616 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
1617 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
1618 | IF ( km_neutral > 0.0_wp ) THEN |
---|
1619 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
1620 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
1621 | ELSE |
---|
1622 | dvdx = 0.0_wp |
---|
1623 | dwdx = 0.0_wp |
---|
1624 | ENDIF |
---|
1625 | ELSE |
---|
1626 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1627 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1628 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1629 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1630 | ENDIF |
---|
1631 | |
---|
1632 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1633 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1634 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1635 | |
---|
1636 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1637 | |
---|
1638 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1639 | |
---|
1640 | ENDDO |
---|
1641 | |
---|
1642 | ! |
---|
1643 | !-- (4) - will allways be executed. |
---|
1644 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
1645 | k = nzb_diff_s_outer(j,i)-1 |
---|
1646 | |
---|
1647 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1648 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1649 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1650 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1651 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1652 | |
---|
1653 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1654 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1655 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1656 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1657 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1658 | |
---|
1659 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1660 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1661 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1662 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1663 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1664 | |
---|
1665 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1666 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1667 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1668 | |
---|
1669 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1670 | |
---|
1671 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1672 | |
---|
1673 | ELSE |
---|
1674 | |
---|
1675 | ! |
---|
1676 | !-- Position without adjacent wall |
---|
1677 | !-- (1) - will allways be executed. |
---|
1678 | !-- 'bottom only: use u_0,v_0' |
---|
1679 | k = nzb_diff_s_inner(j,i)-1 |
---|
1680 | |
---|
1681 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1682 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1683 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1684 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1685 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
1686 | |
---|
1687 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1688 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1689 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1690 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1691 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
1692 | |
---|
1693 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1694 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1695 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1696 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1697 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1698 | |
---|
1699 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
1700 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
1701 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1702 | |
---|
1703 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1704 | |
---|
1705 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1706 | |
---|
1707 | ENDIF |
---|
1708 | |
---|
1709 | ELSEIF ( use_surface_fluxes ) THEN |
---|
1710 | |
---|
1711 | k = nzb_diff_s_outer(j,i)-1 |
---|
1712 | |
---|
1713 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
1714 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
1715 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
1716 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
1717 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
1718 | |
---|
1719 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
1720 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
1721 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
1722 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
1723 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
1724 | |
---|
1725 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
1726 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
1727 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
1728 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
1729 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
1730 | |
---|
1731 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
1732 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
1733 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
1734 | |
---|
1735 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
1736 | |
---|
1737 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
1738 | |
---|
1739 | ENDIF |
---|
1740 | |
---|
1741 | ! |
---|
1742 | !-- If required, calculate TKE production by buoyancy |
---|
1743 | IF ( .NOT. neutral ) THEN |
---|
1744 | |
---|
1745 | IF ( .NOT. humidity ) THEN |
---|
1746 | |
---|
1747 | IF ( use_single_reference_value ) THEN |
---|
1748 | |
---|
1749 | IF ( ocean ) THEN |
---|
1750 | ! |
---|
1751 | !-- So far in the ocean no special treatment of density flux in |
---|
1752 | !-- the bottom and top surface layer |
---|
1753 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1754 | tend(k,j,i) = tend(k,j,i) + & |
---|
1755 | kh(k,j,i) * g / rho_reference * & |
---|
1756 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1757 | ENDDO |
---|
1758 | |
---|
1759 | ELSE |
---|
1760 | |
---|
1761 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1762 | tend(k,j,i) = tend(k,j,i) - & |
---|
1763 | kh(k,j,i) * g / pt_reference * & |
---|
1764 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1765 | ENDDO |
---|
1766 | |
---|
1767 | IF ( use_surface_fluxes ) THEN |
---|
1768 | k = nzb_diff_s_inner(j,i)-1 |
---|
1769 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
1770 | ENDIF |
---|
1771 | |
---|
1772 | IF ( use_top_fluxes ) THEN |
---|
1773 | k = nzt |
---|
1774 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
1775 | ENDIF |
---|
1776 | |
---|
1777 | ENDIF |
---|
1778 | |
---|
1779 | ELSE |
---|
1780 | |
---|
1781 | IF ( ocean ) THEN |
---|
1782 | ! |
---|
1783 | !-- So far in the ocean no special treatment of density flux in |
---|
1784 | !-- the bottom and top surface layer |
---|
1785 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
1786 | tend(k,j,i) = tend(k,j,i) + & |
---|
1787 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
1788 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
1789 | ENDDO |
---|
1790 | |
---|
1791 | ELSE |
---|
1792 | |
---|
1793 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1794 | tend(k,j,i) = tend(k,j,i) - & |
---|
1795 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
1796 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
1797 | ENDDO |
---|
1798 | |
---|
1799 | IF ( use_surface_fluxes ) THEN |
---|
1800 | k = nzb_diff_s_inner(j,i)-1 |
---|
1801 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
1802 | ENDIF |
---|
1803 | |
---|
1804 | IF ( use_top_fluxes ) THEN |
---|
1805 | k = nzt |
---|
1806 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
1807 | ENDIF |
---|
1808 | |
---|
1809 | ENDIF |
---|
1810 | |
---|
1811 | ENDIF |
---|
1812 | |
---|
1813 | ELSE |
---|
1814 | |
---|
1815 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1816 | |
---|
1817 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1818 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1819 | k2 = 0.61_wp * pt(k,j,i) |
---|
1820 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1821 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1822 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1823 | ) * dd2zu(k) |
---|
1824 | ELSE IF ( cloud_physics ) THEN |
---|
1825 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1826 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1827 | k2 = 0.61_wp * pt(k,j,i) |
---|
1828 | ELSE |
---|
1829 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1830 | temp = theta * t_d_pt(k) |
---|
1831 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1832 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1833 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
1834 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1835 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1836 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1837 | ENDIF |
---|
1838 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1839 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1840 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1841 | ) * dd2zu(k) |
---|
1842 | ELSE IF ( cloud_droplets ) THEN |
---|
1843 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1844 | k2 = 0.61_wp * pt(k,j,i) |
---|
1845 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1846 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1847 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
1848 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
1849 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
1850 | ENDIF |
---|
1851 | ENDDO |
---|
1852 | |
---|
1853 | IF ( use_surface_fluxes ) THEN |
---|
1854 | k = nzb_diff_s_inner(j,i)-1 |
---|
1855 | |
---|
1856 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1857 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1858 | k2 = 0.61_wp * pt(k,j,i) |
---|
1859 | ELSE IF ( cloud_physics ) THEN |
---|
1860 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1861 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1862 | k2 = 0.61_wp * pt(k,j,i) |
---|
1863 | ELSE |
---|
1864 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1865 | temp = theta * t_d_pt(k) |
---|
1866 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1867 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1868 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
1869 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1870 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1871 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1872 | ENDIF |
---|
1873 | ELSE IF ( cloud_droplets ) THEN |
---|
1874 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1875 | k2 = 0.61_wp * pt(k,j,i) |
---|
1876 | ENDIF |
---|
1877 | |
---|
1878 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1879 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1880 | ENDIF |
---|
1881 | |
---|
1882 | IF ( use_top_fluxes ) THEN |
---|
1883 | k = nzt |
---|
1884 | |
---|
1885 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
1886 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1887 | k2 = 0.61_wp * pt(k,j,i) |
---|
1888 | ELSE IF ( cloud_physics ) THEN |
---|
1889 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
1890 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
1891 | k2 = 0.61_wp * pt(k,j,i) |
---|
1892 | ELSE |
---|
1893 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1894 | temp = theta * t_d_pt(k) |
---|
1895 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
1896 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1897 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
1898 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
1899 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1900 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
1901 | ENDIF |
---|
1902 | ELSE IF ( cloud_droplets ) THEN |
---|
1903 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
1904 | k2 = 0.61_wp * pt(k,j,i) |
---|
1905 | ENDIF |
---|
1906 | |
---|
1907 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1908 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1909 | ENDIF |
---|
1910 | |
---|
1911 | ENDIF |
---|
1912 | |
---|
1913 | ENDIF |
---|
1914 | |
---|
1915 | END SUBROUTINE production_e_ij |
---|
1916 | |
---|
1917 | |
---|
1918 | !------------------------------------------------------------------------------! |
---|
1919 | ! Description: |
---|
1920 | ! ------------ |
---|
1921 | !> @todo Missing subroutine description. |
---|
1922 | !------------------------------------------------------------------------------! |
---|
1923 | SUBROUTINE production_e_init |
---|
1924 | |
---|
1925 | USE arrays_3d, & |
---|
1926 | ONLY: kh, km, u, us, usws, v, vsws, zu |
---|
1927 | |
---|
1928 | USE control_parameters, & |
---|
1929 | ONLY: constant_flux_layer, kappa |
---|
1930 | |
---|
1931 | USE indices, & |
---|
1932 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
---|
1933 | nzb_v_inner |
---|
1934 | |
---|
1935 | IMPLICIT NONE |
---|
1936 | |
---|
1937 | INTEGER(iwp) :: i !< |
---|
1938 | INTEGER(iwp) :: j !< |
---|
1939 | INTEGER(iwp) :: ku !< |
---|
1940 | INTEGER(iwp) :: kv !< |
---|
1941 | |
---|
1942 | IF ( constant_flux_layer ) THEN |
---|
1943 | |
---|
1944 | IF ( first_call ) THEN |
---|
1945 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
1946 | u_0 = 0.0_wp ! just to avoid access of uninitialized memory |
---|
1947 | v_0 = 0.0_wp ! within exchange_horiz_2d |
---|
1948 | first_call = .FALSE. |
---|
1949 | ENDIF |
---|
1950 | |
---|
1951 | ! |
---|
1952 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
1953 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
1954 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
1955 | !-- production term at k=1 (see production_e_ij). |
---|
1956 | !-- The velocity gradient has to be limited in case of too small km |
---|
1957 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1958 | !-- surface winds). |
---|
1959 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
1960 | !-- not available in case of non-cyclic boundary conditions. |
---|
1961 | !-- WARNING: the exact analytical solution would require the determination |
---|
1962 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
1963 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
1964 | DO i = nxl, nxr+1 |
---|
1965 | DO j = nys, nyn+1 |
---|
1966 | |
---|
1967 | ku = nzb_u_inner(j,i)+1 |
---|
1968 | kv = nzb_v_inner(j,i)+1 |
---|
1969 | |
---|
1970 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
1971 | ( 0.5_wp * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
1972 | 1.0E-20_wp ) |
---|
1973 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1974 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
1975 | ( 0.5_wp * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
1976 | 1.0E-20_wp ) |
---|
1977 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1978 | |
---|
1979 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
1980 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
1981 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
1982 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
1983 | |
---|
1984 | ENDDO |
---|
1985 | ENDDO |
---|
1986 | |
---|
1987 | CALL exchange_horiz_2d( u_0 ) |
---|
1988 | CALL exchange_horiz_2d( v_0 ) |
---|
1989 | |
---|
1990 | ENDIF |
---|
1991 | |
---|
1992 | END SUBROUTINE production_e_init |
---|
1993 | |
---|
1994 | END MODULE production_e_mod |
---|