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source: palm/trunk/SOURCE/diffusion_u.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: 18.4 KB

Rev	Line
[1873]	1	!> @file diffusion_u.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_u.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	!
[1692]	43	! 1691 2015-10-26 16:17:44Z maronga
	44	! Formatting corrections.
	45	!
[1683]	46	! 1682 2015-10-07 23:56:08Z knoop
	47	! Code annotations made doxygen readable
	48	!
[1341]	49	! 1340 2014-03-25 19:45:13Z kanani
	50	! REAL constants defined as wp-kind
	51	!
[1321]	52	! 1320 2014-03-20 08:40:49Z raasch
[1320]	53	! ONLY-attribute added to USE-statements,
	54	! kind-parameters added to all INTEGER and REAL declaration statements,
	55	! kinds are defined in new module kinds,
	56	! revision history before 2012 removed,
	57	! comment fields (!:) to be used for variable explanations added to
	58	! all variable declaration statements
[1321]	59	!
[1258]	60	! 1257 2013-11-08 15:18:40Z raasch
	61	! openacc loop and loop vector clauses removed, declare create moved after
	62	! the FORTRAN declaration statement
	63	!
[1132]	64	! 1128 2013-04-12 06:19:32Z raasch
	65	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	66	! j_north
	67	!
[1037]	68	! 1036 2012-10-22 13:43:42Z raasch
	69	! code put under GPL (PALM 3.9)
	70	!
[1017]	71	! 1015 2012-09-27 09:23:24Z raasch
	72	! accelerator version (*_acc) added
	73	!
[1002]	74	! 1001 2012-09-13 14:08:46Z raasch
	75	! arrays comunicated by module instead of parameter list
	76	!
[979]	77	! 978 2012-08-09 08:28:32Z fricke
	78	! outflow damping layer removed
	79	! kmym_x/_y and kmyp_x/_y change to kmym and kmyp
	80	!
[1]	81	! Revision 1.1 1997/09/12 06:23:51 raasch
	82	! Initial revision
	83	!
	84	!
	85	! Description:
	86	! ------------
[1682]	87	!> Diffusion term of the u-component
	88	!> @todo additional damping (needed for non-cyclic bc) causes bad vectorization
	89	!> and slows down the speed on NEC about 5-10%
[1]	90	!------------------------------------------------------------------------------!
[1682]	91	MODULE diffusion_u_mod
	92
[1]	93
[56]	94	USE wall_fluxes_mod
	95
[1]	96	PRIVATE
[2118]	97	PUBLIC diffusion_u
[1]	98
	99	INTERFACE diffusion_u
	100	MODULE PROCEDURE diffusion_u
	101	MODULE PROCEDURE diffusion_u_ij
	102	END INTERFACE diffusion_u
	103
	104	CONTAINS
	105
	106
	107	!------------------------------------------------------------------------------!
[1682]	108	! Description:
	109	! ------------
	110	!> Call for all grid points
[1]	111	!------------------------------------------------------------------------------!
[1001]	112	SUBROUTINE diffusion_u
[1]	113
[1320]	114	USE arrays_3d, &
[2037]	115	ONLY: ddzu, ddzw, km, tend, u, usws, uswst, v, w, &
	116	drho_air, rho_air_zw
[1320]	117
	118	USE control_parameters, &
	119	ONLY: constant_top_momentumflux, topography, use_surface_fluxes, &
	120	use_top_fluxes
	121
	122	USE grid_variables, &
	123	ONLY: ddx, ddx2, ddy, fym, fyp, wall_u
	124
	125	USE indices, &
	126	ONLY: nxl, nxlu, nxr, nyn, nys, nzb, nzb_diff_u, nzb_u_inner, &
	127	nzb_u_outer, nzt, nzt_diff
	128
	129	USE kinds
[1]	130
	131	IMPLICIT NONE
	132
[1682]	133	INTEGER(iwp) :: i !<
	134	INTEGER(iwp) :: j !<
	135	INTEGER(iwp) :: k !<
	136	REAL(wp) :: kmym !<
	137	REAL(wp) :: kmyp !<
	138	REAL(wp) :: kmzm !<
	139	REAL(wp) :: kmzp !<
[1001]	140
[1682]	141	REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs !<
[1]	142
[56]	143	!
	144	!-- First calculate horizontal momentum flux u'v' at vertical walls,
	145	!-- if neccessary
	146	IF ( topography /= 'flat' ) THEN
[1320]	147	CALL wall_fluxes( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, nzb_u_inner, &
[56]	148	nzb_u_outer, wall_u )
	149	ENDIF
	150
[106]	151	DO i = nxlu, nxr
[1001]	152	DO j = nys, nyn
[1]	153	!
	154	!-- Compute horizontal diffusion
	155	DO k = nzb_u_outer(j,i)+1, nzt
	156	!
	157	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	158	kmyp = 0.25_wp * &
[978]	159	( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
[1340]	160	kmym = 0.25_wp * &
[978]	161	( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
[1]	162
[1320]	163	tend(k,j,i) = tend(k,j,i) &
[1340]	164	& + 2.0_wp * ( &
[1320]	165	& km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
	166	& - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
[1340]	167	& ) * ddx2 &
[1320]	168	& + ( kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
	169	& + kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
	170	& - kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	171	& - kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
[1]	172	& ) * ddy
	173	ENDDO
	174
	175	!
	176	!-- Wall functions at the north and south walls, respectively
[1340]	177	IF ( wall_u(j,i) /= 0.0_wp ) THEN
[51]	178
[1]	179	DO k = nzb_u_inner(j,i)+1, nzb_u_outer(j,i)
[1340]	180	kmyp = 0.25_wp * &
[978]	181	( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
[1340]	182	kmym = 0.25_wp * &
[978]	183	( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
[1]	184
	185	tend(k,j,i) = tend(k,j,i) &
[1340]	186	+ 2.0_wp * ( &
[1]	187	km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
	188	- km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
[1340]	189	) * ddx2 &
[1]	190	+ ( fyp(j,i) * ( &
[978]	191	kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
	192	+ kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
[1]	193	) &
	194	- fym(j,i) * ( &
[978]	195	kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	196	+ kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
[1]	197	) &
[56]	198	+ wall_u(j,i) * usvs(k,j,i) &
[1]	199	) * ddy
	200	ENDDO
	201	ENDIF
	202
	203	!
	204	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	205	!-- index k starts at nzb_u_inner+2.
[102]	206	DO k = nzb_diff_u(j,i), nzt_diff
[1]	207	!
	208	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	209	kmzp = 0.25_wp * &
[1]	210	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
[1340]	211	kmzm = 0.25_wp * &
[1]	212	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
	213
[1320]	214	tend(k,j,i) = tend(k,j,i) &
	215	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	216	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
[2037]	217	& ) * rho_air_zw(k) &
[1320]	218	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
	219	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
[2037]	220	& ) * rho_air_zw(k-1) &
	221	& ) * ddzw(k) * drho_air(k)
[1]	222	ENDDO
	223
	224	!
	225	!-- Vertical diffusion at the first grid point above the surface,
	226	!-- if the momentum flux at the bottom is given by the Prandtl law or
	227	!-- if it is prescribed by the user.
	228	!-- Difference quotient of the momentum flux is not formed over half
	229	!-- of the grid spacing (2.0*ddzw(k)) any more, since the comparison
[1320]	230	!-- with other (LES) models showed that the values of the momentum
[1]	231	!-- flux becomes too large in this case.
	232	!-- The term containing w(k-1,..) (see above equation) is removed here
	233	!-- because the vertical velocity is assumed to be zero at the surface.
	234	IF ( use_surface_fluxes ) THEN
	235	k = nzb_u_inner(j,i)+1
	236	!
	237	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	238	kmzp = 0.25_wp * &
[1]	239	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
	240
[1320]	241	tend(k,j,i) = tend(k,j,i) &
[2037]	242	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	243	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	244	& ) * rho_air_zw(k) &
	245	& - ( -usws(j,i) ) &
	246	& ) * ddzw(k) * drho_air(k)
[1]	247	ENDIF
	248
[102]	249	!
	250	!-- Vertical diffusion at the first gridpoint below the top boundary,
	251	!-- if the momentum flux at the top is prescribed by the user
[103]	252	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	253	k = nzt
	254	!
	255	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	256	kmzm = 0.25_wp * &
[102]	257	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
	258
[1320]	259	tend(k,j,i) = tend(k,j,i) &
[2037]	260	& + ( ( -uswst(j,i) ) &
	261	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
	262	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
	263	& ) * rho_air_zw(k-1) &
	264	& ) * ddzw(k) * drho_air(k)
[102]	265	ENDIF
	266
[1]	267	ENDDO
	268	ENDDO
	269
	270	END SUBROUTINE diffusion_u
	271
	272
	273	!------------------------------------------------------------------------------!
[1682]	274	! Description:
	275	! ------------
	276	!> Call for grid point i,j
[1]	277	!------------------------------------------------------------------------------!
[1001]	278	SUBROUTINE diffusion_u_ij( i, j )
[1]	279
[1320]	280	USE arrays_3d, &
[2037]	281	ONLY: ddzu, ddzw, km, tend, u, usws, uswst, v, w, &
	282	drho_air, rho_air_zw
[1320]	283
	284	USE control_parameters, &
	285	ONLY: constant_top_momentumflux, use_surface_fluxes, use_top_fluxes
	286
	287	USE grid_variables, &
	288	ONLY: ddx, ddx2, ddy, fym, fyp, wall_u
	289
	290	USE indices, &
	291	ONLY: nzb, nzb_diff_u, nzb_u_inner, nzb_u_outer, nzt, nzt_diff
	292
	293	USE kinds
[1]	294
	295	IMPLICIT NONE
	296
[1682]	297	INTEGER(iwp) :: i !<
	298	INTEGER(iwp) :: j !<
	299	INTEGER(iwp) :: k !<
	300	REAL(wp) :: kmym !<
	301	REAL(wp) :: kmyp !<
	302	REAL(wp) :: kmzm !<
	303	REAL(wp) :: kmzp !<
[1]	304
[1682]	305	REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !<
[1001]	306
[1]	307	!
	308	!-- Compute horizontal diffusion
	309	DO k = nzb_u_outer(j,i)+1, nzt
	310	!
	311	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	312	kmyp = 0.25_wp * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
	313	kmym = 0.25_wp * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
[1]	314
[1320]	315	tend(k,j,i) = tend(k,j,i) &
[1340]	316	& + 2.0_wp * ( &
[1320]	317	& km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
	318	& - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
[1340]	319	& ) * ddx2 &
[1320]	320	& + ( kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
	321	& + kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
	322	& - kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	323	& - kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
[1]	324	& ) * ddy
	325	ENDDO
	326
	327	!
	328	!-- Wall functions at the north and south walls, respectively
[1691]	329	IF ( wall_u(j,i) /= 0.0_wp ) THEN
[51]	330
	331	!
	332	!-- Calculate the horizontal momentum flux u'v'
[1320]	333	CALL wall_fluxes( i, j, nzb_u_inner(j,i)+1, nzb_u_outer(j,i), &
	334	usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp )
[51]	335
[1]	336	DO k = nzb_u_inner(j,i)+1, nzb_u_outer(j,i)
[1340]	337	kmyp = 0.25_wp * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
	338	kmym = 0.25_wp * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
[1]	339
	340	tend(k,j,i) = tend(k,j,i) &
[1340]	341	+ 2.0_wp * ( &
[1]	342	km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
	343	- km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
[1340]	344	) * ddx2 &
[1]	345	+ ( fyp(j,i) * ( &
[978]	346	kmyp * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
	347	+ kmyp * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
[1]	348	) &
	349	- fym(j,i) * ( &
[978]	350	kmym * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	351	+ kmym * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
[1]	352	) &
[51]	353	+ wall_u(j,i) * usvs(k) &
[1]	354	) * ddy
	355	ENDDO
	356	ENDIF
	357
	358	!
	359	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
	360	!-- index k starts at nzb_u_inner+2.
[102]	361	DO k = nzb_diff_u(j,i), nzt_diff
[1]	362	!
	363	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	364	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
	365	kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
[1]	366
[1320]	367	tend(k,j,i) = tend(k,j,i) &
	368	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	369	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
[2037]	370	& ) * rho_air_zw(k) &
[1320]	371	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
	372	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
[2037]	373	& ) * rho_air_zw(k-1) &
	374	& ) * ddzw(k) * drho_air(k)
[1]	375	ENDDO
	376
	377	!
	378	!-- Vertical diffusion at the first grid point above the surface, if the
	379	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	380	!-- prescribed by the user.
	381	!-- Difference quotient of the momentum flux is not formed over half of
	382	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
[1320]	383	!-- other (LES) models showed that the values of the momentum flux becomes
[1]	384	!-- too large in this case.
	385	!-- The term containing w(k-1,..) (see above equation) is removed here
	386	!-- because the vertical velocity is assumed to be zero at the surface.
	387	IF ( use_surface_fluxes ) THEN
	388	k = nzb_u_inner(j,i)+1
	389	!
	390	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	391	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
[1]	392
[1320]	393	tend(k,j,i) = tend(k,j,i) &
[2037]	394	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	395	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
	396	& ) * rho_air_zw(k) &
	397	& - ( -usws(j,i) ) &
	398	& ) * ddzw(k) * drho_air(k)
[1]	399	ENDIF
	400
[102]	401	!
	402	!-- Vertical diffusion at the first gridpoint below the top boundary,
	403	!-- if the momentum flux at the top is prescribed by the user
[103]	404	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[102]	405	k = nzt
	406	!
	407	!-- Interpolate eddy diffusivities on staggered gridpoints
[2037]	408	kmzm = 0.25_wp * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
[102]	409
[1320]	410	tend(k,j,i) = tend(k,j,i) &
[2037]	411	& + ( ( -uswst(j,i) ) &
	412	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
	413	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
	414	& ) * rho_air_zw(k-1) &
	415	& ) * ddzw(k) * drho_air(k)
[102]	416	ENDIF
	417
[1]	418	END SUBROUTINE diffusion_u_ij
	419
	420	END MODULE diffusion_u_mod

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