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source: palm/trunk/SOURCE/sor.f90 @ 1995

Last change on this file since 1995 was 1818, checked in by maronga, 9 years ago
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[1682]	1	!> @file sor.f90
[1036]	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	!
[1818]	16	! Copyright 1997-2016 Leibniz Universitaet Hannover
[1036]	17	!--------------------------------------------------------------------------------!
	18	!
[484]	19	! Current revisions:
[1]	20	! -----------------
[1763]	21	!
[1354]	22	!
[1321]	23	! Former revisions:
	24	! -----------------
	25	! $Id: sor.f90 1818 2016-04-06 15:53:27Z suehring $
	26	!
[1763]	27	! 1762 2016-02-25 12:31:13Z hellstea
	28	! Introduction of nested domain feature
	29	!
[1683]	30	! 1682 2015-10-07 23:56:08Z knoop
	31	! Code annotations made doxygen readable
	32	!
[1354]	33	! 1353 2014-04-08 15:21:23Z heinze
	34	! REAL constants provided with KIND-attribute
	35	!
[1321]	36	! 1320 2014-03-20 08:40:49Z raasch
[1320]	37	! ONLY-attribute added to USE-statements,
	38	! kind-parameters added to all INTEGER and REAL declaration statements,
	39	! kinds are defined in new module kinds,
	40	! old module precision_kind is removed,
	41	! revision history before 2012 removed,
	42	! comment fields (!:) to be used for variable explanations added to
	43	! all variable declaration statements
[1]	44	!
[1037]	45	! 1036 2012-10-22 13:43:42Z raasch
	46	! code put under GPL (PALM 3.9)
	47	!
[1]	48	! Revision 1.1 1997/08/11 06:25:56 raasch
	49	! Initial revision
	50	!
	51	!
	52	! Description:
	53	! ------------
[1682]	54	!> Solve the Poisson-equation with the SOR-Red/Black-scheme.
[3]	55	!------------------------------------------------------------------------------!
[1682]	56	SUBROUTINE sor( d, ddzu, ddzw, p )
	57
[1]	58
[1320]	59	USE grid_variables, &
	60	ONLY: ddx2, ddy2
[1]	61
[1320]	62	USE indices, &
	63	ONLY: nbgp, nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nz, nzb, nzt
	64
	65	USE kinds
	66
	67	USE control_parameters, &
	68	ONLY: bc_lr_cyc, bc_ns_cyc, ibc_p_b, ibc_p_t, inflow_l, inflow_n, &
[1762]	69	inflow_r, inflow_s, nest_bound_l, nest_bound_n, nest_bound_r, &
	70	nest_bound_s, n_sor, omega_sor, outflow_l, outflow_n, &
[1320]	71	outflow_r, outflow_s
	72
[1]	73	IMPLICIT NONE
	74
[1682]	75	INTEGER(iwp) :: i !<
	76	INTEGER(iwp) :: j !<
	77	INTEGER(iwp) :: k !<
	78	INTEGER(iwp) :: n !<
	79	INTEGER(iwp) :: nxl1 !<
	80	INTEGER(iwp) :: nxl2 !<
	81	INTEGER(iwp) :: nys1 !<
	82	INTEGER(iwp) :: nys2 !<
[1]	83
[1682]	84	REAL(wp) :: ddzu(1:nz+1) !<
	85	REAL(wp) :: ddzw(1:nzt+1) !<
[1320]	86
[1682]	87	REAL(wp) :: d(nzb+1:nzt,nys:nyn,nxl:nxr) !<
	88	REAL(wp) :: p(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !<
[1320]	89
[1682]	90	REAL(wp), DIMENSION(:), ALLOCATABLE :: f1 !<
	91	REAL(wp), DIMENSION(:), ALLOCATABLE :: f2 !<
	92	REAL(wp), DIMENSION(:), ALLOCATABLE :: f3 !<
[1320]	93
[1]	94	ALLOCATE( f1(1:nz), f2(1:nz), f3(1:nz) )
	95
	96	!
	97	!-- Compute pre-factors.
	98	DO k = 1, nz
	99	f2(k) = ddzu(k+1) * ddzw(k)
	100	f3(k) = ddzu(k) * ddzw(k)
[1353]	101	f1(k) = 2.0_wp * ( ddx2 + ddy2 ) + f2(k) + f3(k)
[1]	102	ENDDO
	103
	104	!
	105	!-- Limits for RED- and BLACK-part.
	106	IF ( MOD( nxl , 2 ) == 0 ) THEN
	107	nxl1 = nxl
	108	nxl2 = nxl + 1
	109	ELSE
	110	nxl1 = nxl + 1
	111	nxl2 = nxl
	112	ENDIF
	113	IF ( MOD( nys , 2 ) == 0 ) THEN
	114	nys1 = nys
	115	nys2 = nys + 1
	116	ELSE
	117	nys1 = nys + 1
	118	nys2 = nys
	119	ENDIF
	120
	121	DO n = 1, n_sor
	122
	123	!
	124	!-- RED-part
	125	DO i = nxl1, nxr, 2
	126	DO j = nys2, nyn, 2
	127	DO k = nzb+1, nzt
	128	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
	129	ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
	130	ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
	131	f2(k) * p(k+1,j,i) + &
	132	f3(k) * p(k-1,j,i) - &
	133	d(k,j,i) - &
	134	f1(k) * p(k,j,i) )
	135	ENDDO
	136	ENDDO
	137	ENDDO
	138
	139	DO i = nxl2, nxr, 2
	140	DO j = nys1, nyn, 2
	141	DO k = nzb+1, nzt
	142	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
	143	ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
	144	ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
	145	f2(k) * p(k+1,j,i) + &
	146	f3(k) * p(k-1,j,i) - &
	147	d(k,j,i) - &
	148	f1(k) * p(k,j,i) )
	149	ENDDO
	150	ENDDO
	151	ENDDO
	152
	153	!
	154	!-- Exchange of boundary values for p.
[667]	155	CALL exchange_horiz( p, nbgp )
[1]	156
	157	!
	158	!-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries
[707]	159	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	160	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) p(:,:,nxl-1) = p(:,:,nxl)
	161	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) p(:,:,nxr+1) = p(:,:,nxr)
[1]	162	ENDIF
[707]	163	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	164	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) p(:,nyn+1,:) = p(:,nyn,:)
	165	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) p(:,nys-1,:) = p(:,nys,:)
[1]	166	ENDIF
	167
	168	!
	169	!-- BLACK-part
	170	DO i = nxl1, nxr, 2
	171	DO j = nys1, nyn, 2
	172	DO k = nzb+1, nzt
	173	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
	174	ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
	175	ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
	176	f2(k) * p(k+1,j,i) + &
	177	f3(k) * p(k-1,j,i) - &
	178	d(k,j,i) - &
	179	f1(k) * p(k,j,i) )
	180	ENDDO
	181	ENDDO
	182	ENDDO
	183
	184	DO i = nxl2, nxr, 2
	185	DO j = nys2, nyn, 2
	186	DO k = nzb+1, nzt
	187	p(k,j,i) = p(k,j,i) + omega_sor / f1(k) * ( &
	188	ddx2 * ( p(k,j,i+1) + p(k,j,i-1) ) + &
	189	ddy2 * ( p(k,j+1,i) + p(k,j-1,i) ) + &
	190	f2(k) * p(k+1,j,i) + &
	191	f3(k) * p(k-1,j,i) - &
	192	d(k,j,i) - &
	193	f1(k) * p(k,j,i) )
	194	ENDDO
	195	ENDDO
	196	ENDDO
	197
	198	!
	199	!-- Exchange of boundary values for p.
[667]	200	CALL exchange_horiz( p, nbgp )
[1]	201
	202	!
	203	!-- Boundary conditions top/bottom.
	204	!-- Bottom boundary
[667]	205	IF ( ibc_p_b == 1 ) THEN ! Neumann
[1]	206	p(nzb,:,:) = p(nzb+1,:,:)
[667]	207	ELSE ! Dirichlet
[1353]	208	p(nzb,:,:) = 0.0_wp
[1]	209	ENDIF
	210
	211	!
	212	!-- Top boundary
[667]	213	IF ( ibc_p_t == 1 ) THEN ! Neumann
[1]	214	p(nzt+1,:,:) = p(nzt,:,:)
[667]	215	ELSE ! Dirichlet
[1353]	216	p(nzt+1,:,:) = 0.0_wp
[1]	217	ENDIF
	218
	219	!
	220	!-- Horizontal (Neumann) boundary conditions in case of non-cyclic boundaries
[707]	221	IF ( .NOT. bc_lr_cyc ) THEN
[1762]	222	IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) p(:,:,nxl-1) = p(:,:,nxl)
	223	IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) p(:,:,nxr+1) = p(:,:,nxr)
[1]	224	ENDIF
[707]	225	IF ( .NOT. bc_ns_cyc ) THEN
[1762]	226	IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) p(:,nyn+1,:) = p(:,nyn,:)
	227	IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) p(:,nys-1,:) = p(:,nys,:)
[1]	228	ENDIF
	229
[667]	230
[1]	231	ENDDO
	232
	233	DEALLOCATE( f1, f2, f3 )
	234
	235	END SUBROUTINE sor

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