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source: palm/trunk/SOURCE/sor.f90 @ 2703

Last change on this file since 2703 was 2696, checked in by kanani, 7 years ago
Merge of branch palm4u into trunk
Property svn:keywords set to `Id`
File size: 9.2 KB

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1	!> @file sor.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 1997-2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: sor.f90 2696 2017-12-14 17:12:51Z maronga $
27	! - Large-scale forcing implemented (MS)
28	!
29	! 2101 2017-01-05 16:42:31Z suehring
30	!
31	! 2037 2016-10-26 11:15:40Z knoop
32	! Anelastic approximation implemented
33	!
34	! 2000 2016-08-20 18:09:15Z knoop
35	! Forced header and separation lines into 80 columns
36	!
37	! 1762 2016-02-25 12:31:13Z hellstea
38	! Introduction of nested domain feature
39	!
40	! 1682 2015-10-07 23:56:08Z knoop
41	! Code annotations made doxygen readable
42	!
43	! 1353 2014-04-08 15:21:23Z heinze
44	! REAL constants provided with KIND-attribute
45	!
46	! 1320 2014-03-20 08:40:49Z raasch
47	! ONLY-attribute added to USE-statements,
48	! kind-parameters added to all INTEGER and REAL declaration statements,
49	! kinds are defined in new module kinds,
50	! old module precision_kind is removed,
51	! revision history before 2012 removed,
52	! comment fields (!:) to be used for variable explanations added to
53	! all variable declaration statements
54	!
55	! 1036 2012-10-22 13:43:42Z raasch
56	! code put under GPL (PALM 3.9)
57	!
58	! Revision 1.1 1997/08/11 06:25:56 raasch
59	! Initial revision
60	!
61	!
62	! Description:
63	! ------------
64	!> Solve the Poisson-equation with the SOR-Red/Black-scheme.
65	!------------------------------------------------------------------------------!
66	SUBROUTINE sor( d, ddzu, ddzw, p )
67
68	USE arrays_3d, &
69	ONLY: rho_air, rho_air_zw
70
71	USE grid_variables, &
72	ONLY: ddx2, ddy2
73
74	USE indices, &
75	ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nz, nzb, nzt
76
77	USE kinds
78
79	USE control_parameters, &
80	ONLY: bc_lr_cyc, bc_ns_cyc, force_bound_l, force_bound_n, &
81	force_bound_r, force_bound_s, ibc_p_b, ibc_p_t, inflow_l, &
82	inflow_n, inflow_r, inflow_s, nest_bound_l, nest_bound_n, &
83	nest_bound_r, nest_bound_s, n_sor, omega_sor, outflow_l, &
84	outflow_n, outflow_r, outflow_s
85
86	IMPLICIT NONE
87
88	INTEGER(iwp) :: i !<
89	INTEGER(iwp) :: j !<
90	INTEGER(iwp) :: k !<
91	INTEGER(iwp) :: n !<
92	INTEGER(iwp) :: nxl1 !<
93	INTEGER(iwp) :: nxl2 !<
94	INTEGER(iwp) :: nys1 !<
95	INTEGER(iwp) :: nys2 !<
96
97	REAL(wp) :: ddzu(1:nz+1) !<
98	REAL(wp) :: ddzw(1:nzt+1) !<
99
100	REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !<
101	REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !<
102
103	REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !<
104	REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !<
105	REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !<
106
107	ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) )
108
109	!
110	!-- Compute pre-factors.
111	DO k = 1, nz
112	f2(k) = ddzu(k+1) * ddzw(k) * rho_air_zw(k)
113	f3(k) = ddzu(k) * ddzw(k) * rho_air_zw(k-1)
114	f1(k) = 2.0_wp * ( ddx2 + ddy2 ) * rho_air(k) + f2(k) + f3(k)
115	ENDDO
116
117	!
118	!-- Limits for RED- and BLACK-part.
119	IF ( MOD( nxl , 2 ) == 0 ) THEN
120	nxl1 = nxl
121	nxl2 = nxl + 1
122	ELSE
123	nxl1 = nxl + 1
124	nxl2 = nxl
125	ENDIF
126	IF ( MOD( nys , 2 ) == 0 ) THEN
127	nys1 = nys
128	nys2 = nys + 1
129	ELSE
130	nys1 = nys + 1
131	nys2 = nys
132	ENDIF
133
134	DO n = 1, n_sor
135
136	!
137	!-- RED-part
138	DO i = nxl1, nxr, 2
139	DO j = nys2, nyn, 2
140	DO k = nzb+1, nzt
141	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
142	rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
143	rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
144	f2(k) * p(k+1,j,i) + &
145	f3(k) * p(k-1,j,i) - &
146	d(k,j,i) - &
147	f1(k) * p(k,j,i) )
148	ENDDO
149	ENDDO
150	ENDDO
151
152	DO i = nxl2, nxr, 2
153	DO j = nys1, nyn, 2
154	DO k = nzb+1, nzt
155	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
156	rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
157	rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
158	f2(k) * p(k+1,j,i) + &
159	f3(k) * p(k-1,j,i) - &
160	d(k,j,i) - &
161	f1(k) * p(k,j,i) )
162	ENDDO
163	ENDDO
164	ENDDO
165
166	!
167	!-- Exchange of boundary values for p.
168	CALL exchange_horiz( p, nbgp )
169
170	!
171	!-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries
172	IF ( .NOT. bc_lr_cyc ) THEN
173	IF ( inflow_l .OR. outflow_l .OR. &
174	nest_bound_l .OR. force_bound_l ) p(:,:,nxl-1) = p(:,:,nxl)
175	IF ( inflow_r .OR. outflow_r .OR. &
176	nest_bound_r .OR. force_bound_r ) p(:,:,nxr+1) = p(:,:,nxr)
177	ENDIF
178	IF ( .NOT. bc_ns_cyc ) THEN
179	IF ( inflow_n .OR. outflow_n .OR. &
180	nest_bound_n .OR. force_bound_n ) p(:,nyn+1,:) = p(:,nyn,:)
181	IF ( inflow_s .OR. outflow_s .OR. &
182	nest_bound_s .OR. force_bound_s ) p(:,nys-1,:) = p(:,nys,:)
183	ENDIF
184
185	!
186	!-- BLACK-part
187	DO i = nxl1, nxr, 2
188	DO j = nys1, nyn, 2
189	DO k = nzb+1, nzt
190	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
191	rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
192	rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
193	f2(k) * p(k+1,j,i) + &
194	f3(k) * p(k-1,j,i) - &
195	d(k,j,i) - &
196	f1(k) * p(k,j,i) )
197	ENDDO
198	ENDDO
199	ENDDO
200
201	DO i = nxl2, nxr, 2
202	DO j = nys2, nyn, 2
203	DO k = nzb+1, nzt
204	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
205	rho_air(k) * ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
206	rho_air(k) * ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
207	f2(k) * p(k+1,j,i) + &
208	f3(k) * p(k-1,j,i) - &
209	d(k,j,i) - &
210	f1(k) * p(k,j,i) )
211	ENDDO
212	ENDDO
213	ENDDO
214
215	!
216	!-- Exchange of boundary values for p.
217	CALL exchange_horiz( p, nbgp )
218
219	!
220	!-- Boundary conditions top/bottom.
221	!-- Bottom boundary
222	IF ( ibc_p_b == 1 ) THEN ! Neumann
223	p(nzb,:,:) = p(nzb+1,:,:)
224	ELSE ! Dirichlet
225	p(nzb,:,:) = 0.0_wp
226	ENDIF
227
228	!
229	!-- Top boundary
230	IF ( ibc_p_t == 1 ) THEN ! Neumann
231	p(nzt+1,:,:) = p(nzt,:,:)
232	ELSE ! Dirichlet
233	p(nzt+1,:,:) = 0.0_wp
234	ENDIF
235
236	!
237	!-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries
238	IF ( .NOT. bc_lr_cyc ) THEN
239	IF ( inflow_l .OR. outflow_l .OR. &
240	nest_bound_l .OR. force_bound_l ) p(:,:,nxl-1) = p(:,:,nxl)
241	IF ( inflow_r .OR. outflow_r .OR. &
242	nest_bound_r .OR. force_bound_r ) p(:,:,nxr+1) = p(:,:,nxr)
243	ENDIF
244	IF ( .NOT. bc_ns_cyc ) THEN
245	IF ( inflow_n .OR. outflow_n .OR. &
246	nest_bound_n .OR. force_bound_n ) p(:,nyn+1,:) = p(:,nyn,:)
247	IF ( inflow_s .OR. outflow_s .OR. &
248	nest_bound_s .OR. force_bound_s ) p(:,nys-1,:) = p(:,nys,:)
249	ENDIF
250
251
252	ENDDO
253
254	DEALLOCATE( f1, f2, f3 )
255
256	END SUBROUTINE sor

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