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source: palm/trunk/SOURCE/diffusion_v.f90 @ 2118

Last change on this file since 2118 was 2118, checked in by raasch, 7 years ago
all OpenACC directives and related parts removed from the code
Property svn:keywords set to `Id`
File size: 18.2 KB

Rev	Line
[1873]	1	!> @file diffusion_v.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	! -----------------
[2118]	22	! OpenACC version of subroutine removed
[1341]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: diffusion_v.f90 2118 2017-01-17 16:38:49Z raasch $
	27	!
[2038]	28	! 2037 2016-10-26 11:15:40Z knoop
	29	! Anelastic approximation implemented
	30	!
[2001]	31	! 2000 2016-08-20 18:09:15Z knoop
	32	! Forced header and separation lines into 80 columns
	33	!
[1874]	34	! 1873 2016-04-18 14:50:06Z maronga
	35	! Module renamed (removed _mod)
	36	!
[1851]	37	! 1850 2016-04-08 13:29:27Z maronga
	38	! Module renamed
	39	!
[1741]	40	! 1740 2016-01-13 08:19:40Z raasch
	41	! unnecessary calculations of kmzm and kmzp in wall bounded parts removed
	42	!
[1683]	43	! 1682 2015-10-07 23:56:08Z knoop
	44	! Code annotations made doxygen readable
	45	!
[1341]	46	! 1340 2014-03-25 19:45:13Z kanani
	47	! REAL constants defined as wp-kind
	48	!
[1321]	49	! 1320 2014-03-20 08:40:49Z raasch
[1320]	50	! ONLY-attribute added to USE-statements,
	51	! kind-parameters added to all INTEGER and REAL declaration statements,
	52	! kinds are defined in new module kinds,
	53	! revision history before 2012 removed,
	54	! comment fields (!:) to be used for variable explanations added to
	55	! all variable declaration statements
[1321]	56	!
[1258]	57	! 1257 2013-11-08 15:18:40Z raasch
	58	! openacc loop and loop vector clauses removed, declare create moved after
	59	! the FORTRAN declaration statement
	60	!
[1132]	61	! 1128 2013-04-12 06:19:32Z raasch
	62	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	63	! j_north
	64	!
[1037]	65	! 1036 2012-10-22 13:43:42Z raasch
	66	! code put under GPL (PALM 3.9)
	67	!
[1017]	68	! 1015 2012-09-27 09:23:24Z raasch
	69	! accelerator version (*_acc) added
	70	!
[1002]	71	! 1001 2012-09-13 14:08:46Z raasch
	72	! arrays comunicated by module instead of parameter list
	73	!
[979]	74	! 978 2012-08-09 08:28:32Z fricke
	75	! outflow damping layer removed
	76	! kmxm_x/_y and kmxp_x/_y change to kmxm and kmxp
	77	!
[1]	78	! Revision 1.1 1997/09/12 06:24:01 raasch
	79	! Initial revision
	80	!
	81	!
	82	! Description:
	83	! ------------
[1682]	84	!> Diffusion term of the v-component
[1]	85	!------------------------------------------------------------------------------!
[1682]	86	MODULE diffusion_v_mod
	87
[1]	88
[56]	89	USE wall_fluxes_mod
	90
[1]	91	PRIVATE
[2118]	92	PUBLIC diffusion_v
[1]	93
	94	INTERFACE diffusion_v
	95	MODULE PROCEDURE diffusion_v
	96	MODULE PROCEDURE diffusion_v_ij
	97	END INTERFACE diffusion_v
	98
	99	CONTAINS
	100
	101
	102	!------------------------------------------------------------------------------!
[1682]	103	! Description:
	104	! ------------
	105	!> Call for all grid points
[1]	106	!------------------------------------------------------------------------------!
[1001]	107	SUBROUTINE diffusion_v
[1]	108
[1320]	109	USE arrays_3d, &
[2037]	110	ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w, &
	111	drho_air, rho_air_zw
[1320]	112
	113	USE control_parameters, &
	114	ONLY: constant_top_momentumflux, topography, use_surface_fluxes, &
	115	use_top_fluxes
	116
	117	USE grid_variables, &
	118	ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v
	119
	120	USE indices, &
	121	ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_diff_v, nzb_v_inner, &
	122	nzb_v_outer, nzt, nzt_diff
	123
	124	USE kinds
[1]	125
	126	IMPLICIT NONE
	127
[1682]	128	INTEGER(iwp) :: i !<
	129	INTEGER(iwp) :: j !<
	130	INTEGER(iwp) :: k !<
	131	REAL(wp) :: kmxm !<
	132	REAL(wp) :: kmxp !<
	133	REAL(wp) :: kmzm !<
	134	REAL(wp) :: kmzp !<
[1001]	135
[1682]	136	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !<
[1]	137
[56]	138	!
	139	!-- First calculate horizontal momentum flux v'u' at vertical walls,
	140	!-- if neccessary
	141	IF ( topography /= 'flat' ) THEN
[1320]	142	CALL wall_fluxes( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, nzb_v_inner, &
[56]	143	nzb_v_outer, wall_v )
	144	ENDIF
	145
[1]	146	DO i = nxl, nxr
[106]	147	DO j = nysv, nyn
[1]	148	!
	149	!-- Compute horizontal diffusion
	150	DO k = nzb_v_outer(j,i)+1, nzt
	151	!
	152	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	153	kmxp = 0.25_wp * &
[978]	154	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	155	kmxm = 0.25_wp * &
[978]	156	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	157
[1320]	158	tend(k,j,i) = tend(k,j,i) &
	159	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	160	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	161	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	162	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	163	& ) * ddx &
[1340]	164	& + 2.0_wp * ( &
[1320]	165	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	166	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	167	& ) * ddy2
[1]	168	ENDDO
	169
	170	!
	171	!-- Wall functions at the left and right walls, respectively
[1340]	172	IF ( wall_v(j,i) /= 0.0_wp ) THEN
[51]	173
[1]	174	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[1340]	175	kmxp = 0.25_wp * &
[978]	176	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	177	kmxm = 0.25_wp * &
[978]	178	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
	179
[1]	180	tend(k,j,i) = tend(k,j,i) &
[1340]	181	+ 2.0_wp * ( &
[1]	182	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	183	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	184	) * ddy2 &
[1]	185	+ ( fxp(j,i) * ( &
[978]	186	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	187	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	188	) &
	189	- fxm(j,i) * ( &
[978]	190	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	191	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	192	) &
[56]	193	+ wall_v(j,i) * vsus(k,j,i) &
[1]	194	) * ddx
	195	ENDDO
	196	ENDIF
	197
	198	!
	199	!-- Compute vertical diffusion. In case of simulating a Prandtl
	200	!-- layer, index k starts at nzb_v_inner+2.
[102]	201	DO k = nzb_diff_v(j,i), nzt_diff
[1]	202	!
	203	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	204	kmzp = 0.25_wp * &
[1]	205	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1340]	206	kmzm = 0.25_wp * &
[1]	207	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	208
[1320]	209	tend(k,j,i) = tend(k,j,i) &
	210	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	211	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
[2037]	212	& ) * rho_air_zw(k) &
[1320]	213	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	214	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
[2037]	215	& ) * rho_air_zw(k-1) &
	216	& ) * ddzw(k) * drho_air(k)
[1]	217	ENDDO
	218
	219	!
	220	!-- Vertical diffusion at the first grid point above the surface,
	221	!-- if the momentum flux at the bottom is given by the Prandtl law
	222	!-- or if it is prescribed by the user.
	223	!-- Difference quotient of the momentum flux is not formed over
	224	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
[1320]	225	!-- comparison with other (LES) models showed that the values of
[1]	226	!-- the momentum flux becomes too large in this case.
	227	!-- The term containing w(k-1,..) (see above equation) is removed here
	228	!-- because the vertical velocity is assumed to be zero at the surface.
	229	IF ( use_surface_fluxes ) THEN
	230	k = nzb_v_inner(j,i)+1
	231	!
	232	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	233	kmzp = 0.25_wp * &
[1]	234	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	235
[1320]	236	tend(k,j,i) = tend(k,j,i) &
[2037]	237	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	238	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	239	& ) * rho_air_zw(k) &
	240	& - ( -vsws(j,i) ) &
	241	& ) * ddzw(k) * drho_air(k)
[1]	242	ENDIF
	243
[102]	244	!
	245	!-- Vertical diffusion at the first gridpoint below the top boundary,
	246	!-- if the momentum flux at the top is prescribed by the user
[103]	247	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	248	k = nzt
	249	!
	250	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	251	kmzm = 0.25_wp * &
[102]	252	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	253
[1320]	254	tend(k,j,i) = tend(k,j,i) &
[2037]	255	& + ( ( -vswst(j,i) ) &
	256	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	257	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	258	& ) * rho_air_zw(k-1) &
	259	& ) * ddzw(k) * drho_air(k)
[102]	260	ENDIF
	261
[1]	262	ENDDO
	263	ENDDO
	264
	265	END SUBROUTINE diffusion_v
	266
	267
	268	!------------------------------------------------------------------------------!
[1682]	269	! Description:
	270	! ------------
	271	!> Call for grid point i,j
[1]	272	!------------------------------------------------------------------------------!
[1001]	273	SUBROUTINE diffusion_v_ij( i, j )
[1]	274
[1320]	275	USE arrays_3d, &
[2037]	276	ONLY: ddzu, ddzw, km, tend, u, v, vsws, vswst, w, &
	277	drho_air, rho_air_zw
[1320]	278
	279	USE control_parameters, &
	280	ONLY: constant_top_momentumflux, use_surface_fluxes, use_top_fluxes
	281
	282	USE grid_variables, &
	283	ONLY: ddx, ddy, ddy2, fxm, fxp, wall_v
	284
	285	USE indices, &
	286	ONLY: nzb, nzb_diff_v, nzb_v_inner, nzb_v_outer, nzt, nzt_diff
	287
	288	USE kinds
[1]	289
	290	IMPLICIT NONE
	291
[1682]	292	INTEGER(iwp) :: i !<
	293	INTEGER(iwp) :: j !<
	294	INTEGER(iwp) :: k !<
	295	REAL(wp) :: kmxm !<
	296	REAL(wp) :: kmxp !<
	297	REAL(wp) :: kmzm !<
	298	REAL(wp) :: kmzp !<
[1]	299
[1682]	300	REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !<
[1001]	301
[1]	302	!
	303	!-- Compute horizontal diffusion
	304	DO k = nzb_v_outer(j,i)+1, nzt
	305	!
	306	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	307	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	308	kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	309
[1320]	310	tend(k,j,i) = tend(k,j,i) &
	311	& + ( kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	312	& + kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	313	& - kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	314	& - kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	315	& ) * ddx &
[1340]	316	& + 2.0_wp * ( &
[1320]	317	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	318	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	319	& ) * ddy2
[1]	320	ENDDO
	321
	322	!
	323	!-- Wall functions at the left and right walls, respectively
[1340]	324	IF ( wall_v(j,i) /= 0.0_wp ) THEN
[51]	325
	326	!
	327	!-- Calculate the horizontal momentum flux v'u'
[1320]	328	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
	329	vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp )
[51]	330
[1]	331	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
[1340]	332	kmxp = 0.25_wp * &
[978]	333	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
[1340]	334	kmxm = 0.25_wp * &
[978]	335	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
[1]	336
	337	tend(k,j,i) = tend(k,j,i) &
[1340]	338	+ 2.0_wp * ( &
[1]	339	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	340	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
[1340]	341	) * ddy2 &
[1]	342	+ ( fxp(j,i) * ( &
[978]	343	kmxp * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
	344	+ kmxp * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
[1]	345	) &
	346	- fxm(j,i) * ( &
[978]	347	kmxm * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
	348	+ kmxm * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
[1]	349	) &
[51]	350	+ wall_v(j,i) * vsus(k) &
[1]	351	) * ddx
	352	ENDDO
	353	ENDIF
	354
	355	!
	356	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	357	!-- index k starts at nzb_v_inner+2.
[102]	358	DO k = nzb_diff_v(j,i), nzt_diff
[1]	359	!
	360	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	361	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	362	kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
[1]	363
[1320]	364	tend(k,j,i) = tend(k,j,i) &
	365	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	366	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
[2037]	367	& ) * rho_air_zw(k) &
[1320]	368	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	369	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
[2037]	370	& ) * rho_air_zw(k-1) &
	371	& ) * ddzw(k) * drho_air(k)
[1]	372	ENDDO
	373
	374	!
	375	!-- Vertical diffusion at the first grid point above the surface, if the
	376	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	377	!-- prescribed by the user.
	378	!-- Difference quotient of the momentum flux is not formed over half of
	379	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
[1320]	380	!-- other (LES) models showed that the values of the momentum flux becomes
[1]	381	!-- too large in this case.
	382	!-- The term containing w(k-1,..) (see above equation) is removed here
	383	!-- because the vertical velocity is assumed to be zero at the surface.
	384	IF ( use_surface_fluxes ) THEN
	385	k = nzb_v_inner(j,i)+1
	386	!
	387	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	388	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
[1]	389
[1320]	390	tend(k,j,i) = tend(k,j,i) &
[2037]	391	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	392	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
	393	& ) * rho_air_zw(k) &
	394	& - ( -vsws(j,i) ) &
	395	& ) * ddzw(k) * drho_air(k)
[1]	396	ENDIF
	397
[102]	398	!
	399	!-- Vertical diffusion at the first gridpoint below the top boundary,
	400	!-- if the momentum flux at the top is prescribed by the user
[103]	401	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	402	k = nzt
	403	!
	404	!-- Interpolate eddy diffusivities on staggered gridpoints
[2037]	405	kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
[102]	406
[1320]	407	tend(k,j,i) = tend(k,j,i) &
[2037]	408	& + ( ( -vswst(j,i) ) &
	409	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	410	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
	411	& ) * rho_air_zw(k-1) &
	412	& ) * ddzw(k) * drho_air(k)
[102]	413	ENDIF
	414
[1]	415	END SUBROUTINE diffusion_v_ij
	416
[1321]	417	END MODULE diffusion_v_mod

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