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source: palm/trunk/SOURCE/diffusion_w.f90 @ 2119

Last change on this file since 2119 was 2119, checked in by raasch, 7 years ago
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[1873]	1	!> @file diffusion_w.f90
[2000]	2	!------------------------------------------------------------------------------!
[1036]	3	! This file is part of PALM.
	4	!
[2000]	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.
[1036]	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	!
[2101]	17	! Copyright 1997-2017 Leibniz Universitaet Hannover
[2000]	18	!------------------------------------------------------------------------------!
[1036]	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1341]	22	!
[2119]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: diffusion_w.f90 2119 2017-01-17 16:51:50Z raasch $
	27	!
[2119]	28	! 2118 2017-01-17 16:38:49Z raasch
	29	! OpenACC version of subroutine removed
	30	!
[2038]	31	! 2037 2016-10-26 11:15:40Z knoop
	32	! Anelastic approximation implemented
	33	!
[2001]	34	! 2000 2016-08-20 18:09:15Z knoop
	35	! Forced header and separation lines into 80 columns
	36	!
[1874]	37	! 1873 2016-04-18 14:50:06Z maronga
	38	! Module renamed (removed _mod)
	39	!
[1851]	40	! 1850 2016-04-08 13:29:27Z maronga
	41	! Module renamed
	42	!
[1683]	43	! 1682 2015-10-07 23:56:08Z knoop
	44	! Code annotations made doxygen readable
	45	!
[1375]	46	! 1374 2014-04-25 12:55:07Z raasch
	47	! vsws + vswst removed from acc-present-list
	48	!
[1354]	49	! 1353 2014-04-08 15:21:23Z heinze
	50	! REAL constants provided with KIND-attribute
	51	!
[1341]	52	! 1340 2014-03-25 19:45:13Z kanani
	53	! REAL constants defined as wp-kind
	54	!
[1323]	55	! 1322 2014-03-20 16:38:49Z raasch
	56	! REAL constants defined as wp-kind
	57	!
[1321]	58	! 1320 2014-03-20 08:40:49Z raasch
[1320]	59	! ONLY-attribute added to USE-statements,
	60	! kind-parameters added to all INTEGER and REAL declaration statements,
	61	! kinds are defined in new module kinds,
	62	! revision history before 2012 removed,
	63	! comment fields (!:) to be used for variable explanations added to
	64	! all variable declaration statements
[1]	65	!
[1258]	66	! 1257 2013-11-08 15:18:40Z raasch
	67	! openacc loop and loop vector clauses removed, declare create moved after
	68	! the FORTRAN declaration statement
	69	!
[1132]	70	! 1128 2013-04-12 06:19:32Z raasch
	71	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	72	! j_north
	73	!
[1037]	74	! 1036 2012-10-22 13:43:42Z raasch
	75	! code put under GPL (PALM 3.9)
	76	!
[1017]	77	! 1015 2012-09-27 09:23:24Z raasch
	78	! accelerator version (*_acc) added
	79	!
[1002]	80	! 1001 2012-09-13 14:08:46Z raasch
	81	! arrays comunicated by module instead of parameter list
	82	!
[979]	83	! 978 2012-08-09 08:28:32Z fricke
	84	! outflow damping layer removed
	85	! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp
	86	! kmym_y/_z and kmyp_y/_z change to kmym and kmyp
	87	!
[1]	88	! Revision 1.1 1997/09/12 06:24:11 raasch
	89	! Initial revision
	90	!
	91	!
	92	! Description:
	93	! ------------
[1682]	94	!> Diffusion term of the w-component
[1]	95	!------------------------------------------------------------------------------!
[1682]	96	MODULE diffusion_w_mod
	97
[1]	98
[1320]	99	USE wall_fluxes_mod, &
[2118]	100	ONLY : wall_fluxes
[56]	101
[1]	102	PRIVATE
[2118]	103	PUBLIC diffusion_w
[1]	104
	105	INTERFACE diffusion_w
	106	MODULE PROCEDURE diffusion_w
	107	MODULE PROCEDURE diffusion_w_ij
	108	END INTERFACE diffusion_w
	109
	110	CONTAINS
	111
	112
	113	!------------------------------------------------------------------------------!
[1682]	114	! Description:
	115	! ------------
	116	!> Call for all grid points
[1]	117	!------------------------------------------------------------------------------!
[1001]	118	SUBROUTINE diffusion_w
[1]	119
[1320]	120	USE arrays_3d, &
[2037]	121	ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air
[1320]	122
	123	USE control_parameters, &
	124	ONLY : topography
	125
	126	USE grid_variables, &
	127	ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y
	128
	129	USE indices, &
	130	ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt
	131
	132	USE kinds
[1]	133
	134	IMPLICIT NONE
	135
[1682]	136	INTEGER(iwp) :: i !<
	137	INTEGER(iwp) :: j !<
	138	INTEGER(iwp) :: k !<
[1320]	139
[1682]	140	REAL(wp) :: kmxm !<
	141	REAL(wp) :: kmxp !<
	142	REAL(wp) :: kmym !<
	143	REAL(wp) :: kmyp !<
[1001]	144
[1682]	145	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !<
	146	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !<
[1]	147
	148
[56]	149	!
	150	!-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical
	151	!-- walls, if neccessary
	152	IF ( topography /= 'flat' ) THEN
[1320]	153	CALL wall_fluxes( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, nzb_w_inner, &
[56]	154	nzb_w_outer, wall_w_x )
[1320]	155	CALL wall_fluxes( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, nzb_w_inner, &
[56]	156	nzb_w_outer, wall_w_y )
	157	ENDIF
	158
[1]	159	DO i = nxl, nxr
	160	DO j = nys, nyn
	161	DO k = nzb_w_outer(j,i)+1, nzt-1
	162	!
	163	!-- Interpolate eddy diffusivities on staggered gridpoints
[1322]	164	kmxp = 0.25_wp * &
[978]	165	( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) )
[1322]	166	kmxm = 0.25_wp * &
[978]	167	( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) )
[1322]	168	kmyp = 0.25_wp * &
[978]	169	( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) )
[1322]	170	kmym = 0.25_wp * &
[978]	171	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	172
	173	tend(k,j,i) = tend(k,j,i) &
[978]	174	& + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx &
	175	& + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
	176	& - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	177	& - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
[1]	178	& ) * ddx &
[978]	179	& + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy &
	180	& + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
	181	& - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	182	& - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	183	& ) * ddy &
[1322]	184	& + 2.0_wp * ( &
[1]	185	& km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
[2037]	186	& * rho_air(k+1) &
[1]	187	& - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
[2037]	188	& * rho_air(k) &
	189	& ) * ddzu(k+1) * drho_air_zw(k)
[1]	190	ENDDO
	191
	192	!
	193	!-- Wall functions at all vertical walls, where necessary
[1340]	194	IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN
[51]	195
[1]	196	DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i)
	197	!
	198	!-- Interpolate eddy diffusivities on staggered gridpoints
[1322]	199	kmxp = 0.25_wp * &
[978]	200	( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) )
[1322]	201	kmxm = 0.25_wp * &
[978]	202	( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) )
[1322]	203	kmyp = 0.25_wp * &
[978]	204	( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) )
[1322]	205	kmym = 0.25_wp * &
[978]	206	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	207
	208	tend(k,j,i) = tend(k,j,i) &
	209	+ ( fwxp(j,i) * ( &
[978]	210	kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx &
	211	+ kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
[1]	212	) &
	213	- fwxm(j,i) * ( &
[978]	214	kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	215	+ kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
[1]	216	) &
[56]	217	+ wall_w_x(j,i) * wsus(k,j,i) &
[1]	218	) * ddx &
	219	+ ( fwyp(j,i) * ( &
[978]	220	kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy &
	221	+ kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
[1]	222	) &
	223	- fwym(j,i) * ( &
[978]	224	kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	225	+ kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	226	) &
[56]	227	+ wall_w_y(j,i) * wsvs(k,j,i) &
[1]	228	) * ddy &
[1340]	229	+ 2.0_wp * ( &
[1]	230	km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
[2037]	231	* rho_air(k+1) &
[1]	232	- km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
[2037]	233	* rho_air(k) &
	234	) * ddzu(k+1) * drho_air_zw(k)
[1]	235	ENDDO
	236	ENDIF
	237
	238	ENDDO
	239	ENDDO
	240
	241	END SUBROUTINE diffusion_w
	242
	243
	244	!------------------------------------------------------------------------------!
[1682]	245	! Description:
	246	! ------------
	247	!> Call for grid point i,j
[1]	248	!------------------------------------------------------------------------------!
[1001]	249	SUBROUTINE diffusion_w_ij( i, j )
[1]	250
[1320]	251	USE arrays_3d, &
[2037]	252	ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air
[1320]	253
	254	USE control_parameters, &
	255	ONLY : topography
	256
	257	USE grid_variables, &
	258	ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y
	259
	260	USE indices, &
	261	ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt
	262
	263	USE kinds
[1]	264
	265	IMPLICIT NONE
	266
[1682]	267	INTEGER(iwp) :: i !<
	268	INTEGER(iwp) :: j !<
	269	INTEGER(iwp) :: k !<
[1320]	270
[1682]	271	REAL(wp) :: kmxm !<
	272	REAL(wp) :: kmxp !<
	273	REAL(wp) :: kmym !<
	274	REAL(wp) :: kmyp !<
[1]	275
[1320]	276	REAL(wp), DIMENSION(nzb:nzt+1) :: wsus
	277	REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs
[1]	278
[1001]	279
[1]	280	DO k = nzb_w_outer(j,i)+1, nzt-1
	281	!
	282	!-- Interpolate eddy diffusivities on staggered gridpoints
[1322]	283	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) )
	284	kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) )
	285	kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) )
	286	kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	287
	288	tend(k,j,i) = tend(k,j,i) &
[978]	289	& + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx &
	290	& + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
	291	& - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	292	& - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
[1]	293	& ) * ddx &
[978]	294	& + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy &
	295	& + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
	296	& - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	297	& - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	298	& ) * ddy &
[1322]	299	& + 2.0_wp * ( &
[1]	300	& km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
[2037]	301	& * rho_air(k+1) &
[1]	302	& - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
[2037]	303	& * rho_air(k) &
	304	& ) * ddzu(k+1) * drho_air_zw(k)
[1]	305	ENDDO
	306
	307	!
	308	!-- Wall functions at all vertical walls, where necessary
[1340]	309	IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN
[51]	310
	311	!
	312	!-- Calculate the horizontal momentum fluxes w'u' and/or w'v'
[1340]	313	IF ( wall_w_x(j,i) /= 0.0_wp ) THEN
[1320]	314	CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), &
	315	wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp )
[51]	316	ELSE
[1340]	317	wsus = 0.0_wp
[51]	318	ENDIF
	319
[1340]	320	IF ( wall_w_y(j,i) /= 0.0_wp ) THEN
[1320]	321	CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), &
	322	wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp )
[51]	323	ELSE
[1340]	324	wsvs = 0.0_wp
[51]	325	ENDIF
	326
[1]	327	DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i)
	328	!
	329	!-- Interpolate eddy diffusivities on staggered gridpoints
[1322]	330	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) )
	331	kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) )
	332	kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) )
	333	kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	334
	335	tend(k,j,i) = tend(k,j,i) &
	336	+ ( fwxp(j,i) * ( &
[978]	337	kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx &
	338	+ kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
[1]	339	) &
	340	- fwxm(j,i) * ( &
[978]	341	kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	342	+ kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
[1]	343	) &
[51]	344	+ wall_w_x(j,i) * wsus(k) &
[1]	345	) * ddx &
	346	+ ( fwyp(j,i) * ( &
[978]	347	kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy &
	348	+ kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
[1]	349	) &
	350	- fwym(j,i) * ( &
[978]	351	kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	352	+ kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
[1]	353	) &
[51]	354	+ wall_w_y(j,i) * wsvs(k) &
[1]	355	) * ddy &
[1340]	356	+ 2.0_wp * ( &
[1]	357	km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
[2037]	358	* rho_air(k+1) &
[1]	359	- km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
[2037]	360	* rho_air(k) &
	361	) * ddzu(k+1) * drho_air_zw(k)
[1]	362	ENDDO
	363	ENDIF
	364
	365	END SUBROUTINE diffusion_w_ij
	366
[1323]	367	END MODULE diffusion_w_mod

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