1 | MODULE diffusion_s_mod |
---|
2 | |
---|
3 | !------------------------------------------------------------------------------! |
---|
4 | ! Actual revisions: |
---|
5 | ! ----------------- |
---|
6 | ! |
---|
7 | ! |
---|
8 | ! Former revisions: |
---|
9 | ! ----------------- |
---|
10 | ! $Id: diffusion_s.f90 139 2007-11-29 09:37:41Z letzel $ |
---|
11 | ! |
---|
12 | ! 129 2007-10-30 12:12:24Z letzel |
---|
13 | ! replace wall_heatflux by wall_s_flux that is now included in the parameter |
---|
14 | ! list, bugfix for assignment of fluxes at walls |
---|
15 | ! |
---|
16 | ! 20 2007-02-26 00:12:32Z raasch |
---|
17 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
---|
18 | ! Calculation extended for gridpoint nzt, fluxes can be given at top, |
---|
19 | ! +s_flux_t in parameter list, s_flux renamed s_flux_b |
---|
20 | ! |
---|
21 | ! RCS Log replace by Id keyword, revision history cleaned up |
---|
22 | ! |
---|
23 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
---|
24 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
---|
25 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
---|
26 | ! fluxes at vertically oriented topography |
---|
27 | ! |
---|
28 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
---|
29 | ! Initial revision |
---|
30 | ! |
---|
31 | ! |
---|
32 | ! Description: |
---|
33 | ! ------------ |
---|
34 | ! Diffusion term of scalar quantities (temperature and water content) |
---|
35 | !------------------------------------------------------------------------------! |
---|
36 | |
---|
37 | PRIVATE |
---|
38 | PUBLIC diffusion_s |
---|
39 | |
---|
40 | INTERFACE diffusion_s |
---|
41 | MODULE PROCEDURE diffusion_s |
---|
42 | MODULE PROCEDURE diffusion_s_ij |
---|
43 | END INTERFACE diffusion_s |
---|
44 | |
---|
45 | CONTAINS |
---|
46 | |
---|
47 | |
---|
48 | !------------------------------------------------------------------------------! |
---|
49 | ! Call for all grid points |
---|
50 | !------------------------------------------------------------------------------! |
---|
51 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
---|
52 | wall_s_flux, tend ) |
---|
53 | |
---|
54 | USE control_parameters |
---|
55 | USE grid_variables |
---|
56 | USE indices |
---|
57 | |
---|
58 | IMPLICIT NONE |
---|
59 | |
---|
60 | INTEGER :: i, j, k |
---|
61 | REAL :: vertical_gridspace |
---|
62 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
---|
63 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
---|
64 | REAL :: wall_s_flux(0:4) |
---|
65 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
---|
66 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
---|
67 | |
---|
68 | DO i = nxl, nxr |
---|
69 | DO j = nys,nyn |
---|
70 | ! |
---|
71 | !-- Compute horizontal diffusion |
---|
72 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
73 | |
---|
74 | tend(k,j,i) = tend(k,j,i) & |
---|
75 | + 0.5 * ( & |
---|
76 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
77 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
78 | ) * ddx2 & |
---|
79 | + 0.5 * ( & |
---|
80 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
81 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
82 | ) * ddy2 |
---|
83 | ENDDO |
---|
84 | |
---|
85 | ! |
---|
86 | !-- Apply prescribed horizontal wall heatflux where necessary |
---|
87 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
---|
88 | THEN |
---|
89 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
---|
90 | |
---|
91 | tend(k,j,i) = tend(k,j,i) & |
---|
92 | + 0.5 * ( fwxp(j,i) * & |
---|
93 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
94 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
---|
95 | -fwxm(j,i) * & |
---|
96 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
97 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
---|
98 | ) * ddx2 & |
---|
99 | + 0.5 * ( fwyp(j,i) * & |
---|
100 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
101 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
---|
102 | -fwym(j,i) * & |
---|
103 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
104 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
---|
105 | ) * ddy2 |
---|
106 | ENDDO |
---|
107 | ENDIF |
---|
108 | |
---|
109 | ! |
---|
110 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
111 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
112 | !-- nzb+2 or nzt-1, respectively. |
---|
113 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
114 | |
---|
115 | tend(k,j,i) = tend(k,j,i) & |
---|
116 | + 0.5 * ( & |
---|
117 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
118 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
119 | ) * ddzw(k) |
---|
120 | ENDDO |
---|
121 | |
---|
122 | ! |
---|
123 | !-- Vertical diffusion at the first computational gridpoint along |
---|
124 | !-- z-direction |
---|
125 | IF ( use_surface_fluxes ) THEN |
---|
126 | |
---|
127 | k = nzb_s_inner(j,i)+1 |
---|
128 | |
---|
129 | tend(k,j,i) = tend(k,j,i) & |
---|
130 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
---|
131 | * ( s(k+1,j,i)-s(k,j,i) ) & |
---|
132 | * ddzu(k+1) & |
---|
133 | + s_flux_b(j,i) & |
---|
134 | ) * ddzw(k) |
---|
135 | |
---|
136 | ENDIF |
---|
137 | |
---|
138 | ! |
---|
139 | !-- Vertical diffusion at the last computational gridpoint along |
---|
140 | !-- z-direction |
---|
141 | IF ( use_top_fluxes ) THEN |
---|
142 | |
---|
143 | k = nzt |
---|
144 | |
---|
145 | tend(k,j,i) = tend(k,j,i) & |
---|
146 | + ( - s_flux_t(j,i) & |
---|
147 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
---|
148 | * ( s(k,j,i)-s(k-1,j,i) ) & |
---|
149 | * ddzu(k) & |
---|
150 | ) * ddzw(k) |
---|
151 | |
---|
152 | ENDIF |
---|
153 | |
---|
154 | ENDDO |
---|
155 | ENDDO |
---|
156 | |
---|
157 | END SUBROUTINE diffusion_s |
---|
158 | |
---|
159 | |
---|
160 | !------------------------------------------------------------------------------! |
---|
161 | ! Call for grid point i,j |
---|
162 | !------------------------------------------------------------------------------! |
---|
163 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux_b, s_flux_t, & |
---|
164 | wall_s_flux, tend ) |
---|
165 | |
---|
166 | USE control_parameters |
---|
167 | USE grid_variables |
---|
168 | USE indices |
---|
169 | |
---|
170 | IMPLICIT NONE |
---|
171 | |
---|
172 | INTEGER :: i, j, k |
---|
173 | REAL :: vertical_gridspace |
---|
174 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1) |
---|
175 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
---|
176 | REAL :: wall_s_flux(0:4) |
---|
177 | REAL, DIMENSION(:,:), POINTER :: s_flux_b, s_flux_t |
---|
178 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
---|
179 | |
---|
180 | ! |
---|
181 | !-- Compute horizontal diffusion |
---|
182 | DO k = nzb_s_outer(j,i)+1, nzt |
---|
183 | |
---|
184 | tend(k,j,i) = tend(k,j,i) & |
---|
185 | + 0.5 * ( & |
---|
186 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
187 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
188 | ) * ddx2 & |
---|
189 | + 0.5 * ( & |
---|
190 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
191 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
192 | ) * ddy2 |
---|
193 | ENDDO |
---|
194 | |
---|
195 | ! |
---|
196 | !-- Apply prescribed horizontal wall heatflux where necessary |
---|
197 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
---|
198 | THEN |
---|
199 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
---|
200 | |
---|
201 | tend(k,j,i) = tend(k,j,i) & |
---|
202 | + 0.5 * ( fwxp(j,i) * & |
---|
203 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
---|
204 | + ( 1.0 - fwxp(j,i) ) * wall_s_flux(1) & |
---|
205 | -fwxm(j,i) * & |
---|
206 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
---|
207 | + ( 1.0 - fwxm(j,i) ) * wall_s_flux(2) & |
---|
208 | ) * ddx2 & |
---|
209 | + 0.5 * ( fwyp(j,i) * & |
---|
210 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
---|
211 | + ( 1.0 - fwyp(j,i) ) * wall_s_flux(3) & |
---|
212 | -fwym(j,i) * & |
---|
213 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
---|
214 | + ( 1.0 - fwym(j,i) ) * wall_s_flux(4) & |
---|
215 | ) * ddy2 |
---|
216 | ENDDO |
---|
217 | ENDIF |
---|
218 | |
---|
219 | ! |
---|
220 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
221 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
222 | !-- nzb+2 or nzt-1, respectively. |
---|
223 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
224 | |
---|
225 | tend(k,j,i) = tend(k,j,i) & |
---|
226 | + 0.5 * ( & |
---|
227 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
228 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
229 | ) * ddzw(k) |
---|
230 | ENDDO |
---|
231 | |
---|
232 | ! |
---|
233 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
---|
234 | IF ( use_surface_fluxes ) THEN |
---|
235 | |
---|
236 | k = nzb_s_inner(j,i)+1 |
---|
237 | |
---|
238 | tend(k,j,i) = tend(k,j,i) + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
---|
239 | * ( s(k+1,j,i)-s(k,j,i) ) & |
---|
240 | * ddzu(k+1) & |
---|
241 | + s_flux_b(j,i) & |
---|
242 | ) * ddzw(k) |
---|
243 | |
---|
244 | ENDIF |
---|
245 | |
---|
246 | ! |
---|
247 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
---|
248 | IF ( use_top_fluxes ) THEN |
---|
249 | |
---|
250 | k = nzt |
---|
251 | |
---|
252 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
---|
253 | - 0.5 * ( kh(k-1,j,i)+kh(k,j,i) ) & |
---|
254 | * ( s(k,j,i)-s(k-1,j,i) ) & |
---|
255 | * ddzu(k) & |
---|
256 | ) * ddzw(k) |
---|
257 | |
---|
258 | ENDIF |
---|
259 | |
---|
260 | END SUBROUTINE diffusion_s_ij |
---|
261 | |
---|
262 | END MODULE diffusion_s_mod |
---|