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source: palm/trunk/SOURCE/diffusion_w.f90 @ 2636

Last change on this file since 2636 was 2233, checked in by suehring, 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	!
[2233]	23	!
[1321]	24	! Former revisions:
	25	! -----------------
	26	! $Id: diffusion_w.f90 2233 2017-05-30 18:08:54Z raasch $
	27	!
[2233]	28	! 2232 2017-05-30 17:47:52Z suehring
	29	! Adjustments to new topography and surface concept
	30	!
[2119]	31	! 2118 2017-01-17 16:38:49Z raasch
	32	! OpenACC version of subroutine removed
	33	!
[2038]	34	! 2037 2016-10-26 11:15:40Z knoop
	35	! Anelastic approximation implemented
	36	!
[2001]	37	! 2000 2016-08-20 18:09:15Z knoop
	38	! Forced header and separation lines into 80 columns
	39	!
[1874]	40	! 1873 2016-04-18 14:50:06Z maronga
	41	! Module renamed (removed _mod)
	42	!
[1851]	43	! 1850 2016-04-08 13:29:27Z maronga
	44	! Module renamed
	45	!
[1683]	46	! 1682 2015-10-07 23:56:08Z knoop
	47	! Code annotations made doxygen readable
	48	!
[1375]	49	! 1374 2014-04-25 12:55:07Z raasch
	50	! vsws + vswst removed from acc-present-list
	51	!
[1354]	52	! 1353 2014-04-08 15:21:23Z heinze
	53	! REAL constants provided with KIND-attribute
	54	!
[1341]	55	! 1340 2014-03-25 19:45:13Z kanani
	56	! REAL constants defined as wp-kind
	57	!
[1323]	58	! 1322 2014-03-20 16:38:49Z raasch
	59	! REAL constants defined as wp-kind
	60	!
[1321]	61	! 1320 2014-03-20 08:40:49Z raasch
[1320]	62	! ONLY-attribute added to USE-statements,
	63	! kind-parameters added to all INTEGER and REAL declaration statements,
	64	! kinds are defined in new module kinds,
	65	! revision history before 2012 removed,
	66	! comment fields (!:) to be used for variable explanations added to
	67	! all variable declaration statements
[1]	68	!
[1258]	69	! 1257 2013-11-08 15:18:40Z raasch
	70	! openacc loop and loop vector clauses removed, declare create moved after
	71	! the FORTRAN declaration statement
	72	!
[1132]	73	! 1128 2013-04-12 06:19:32Z raasch
	74	! loop index bounds in accelerator version replaced by i_left, i_right, j_south,
	75	! j_north
	76	!
[1037]	77	! 1036 2012-10-22 13:43:42Z raasch
	78	! code put under GPL (PALM 3.9)
	79	!
[1017]	80	! 1015 2012-09-27 09:23:24Z raasch
	81	! accelerator version (*_acc) added
	82	!
[1002]	83	! 1001 2012-09-13 14:08:46Z raasch
	84	! arrays comunicated by module instead of parameter list
	85	!
[979]	86	! 978 2012-08-09 08:28:32Z fricke
	87	! outflow damping layer removed
	88	! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp
	89	! kmym_y/_z and kmyp_y/_z change to kmym and kmyp
	90	!
[1]	91	! Revision 1.1 1997/09/12 06:24:11 raasch
	92	! Initial revision
	93	!
	94	!
	95	! Description:
	96	! ------------
[1682]	97	!> Diffusion term of the w-component
[1]	98	!------------------------------------------------------------------------------!
[1682]	99	MODULE diffusion_w_mod
	100
[1]	101
	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, &
[2232]	127	ONLY : ddx, ddy
[1320]	128
	129	USE indices, &
[2232]	130	ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0
[1320]	131
	132	USE kinds
[1]	133
[2232]	134	USE surface_mod, &
	135	ONLY : surf_def_v, surf_lsm_v, surf_usm_v
	136
[1]	137	IMPLICIT NONE
	138
[2232]	139	INTEGER(iwp) :: i !< running index x direction
	140	INTEGER(iwp) :: j !< running index y direction
	141	INTEGER(iwp) :: k !< running index z direction
	142	INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall
	143	INTEGER(iwp) :: m !< running index surface elements
	144	INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint
	145	INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint
[1320]	146
[2232]	147	REAL(wp) :: flag !< flag to mask topography grid points
	148	REAL(wp) :: kmxm !<
	149	REAL(wp) :: kmxp !<
	150	REAL(wp) :: kmym !<
	151	REAL(wp) :: kmyp !<
	152	REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point
	153	REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point
	154	REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point
	155	REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point
[1001]	156
[1]	157
	158
	159	DO i = nxl, nxr
	160	DO j = nys, nyn
[2232]	161	DO k = nzb+1, nzt-1
[1]	162	!
[2232]	163	!-- Predetermine flag to mask topography and wall-bounded grid points.
	164	flag = MERGE( 1.0_wp, 0.0_wp, &
	165	BTEST( wall_flags_0(k,j,i), 3 ) )
	166	mask_east = MERGE( 1.0_wp, 0.0_wp, &
	167	BTEST( wall_flags_0(k,j,i+1), 3 ) )
	168	mask_west = MERGE( 1.0_wp, 0.0_wp, &
	169	BTEST( wall_flags_0(k,j,i-1), 3 ) )
	170	mask_south = MERGE( 1.0_wp, 0.0_wp, &
	171	BTEST( wall_flags_0(k,j-1,i), 3 ) )
	172	mask_north = MERGE( 1.0_wp, 0.0_wp, &
	173	BTEST( wall_flags_0(k,j+1,i), 3 ) )
	174	!
[1]	175	!-- Interpolate eddy diffusivities on staggered gridpoints
[2232]	176	kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + &
	177	km(k+1,j,i) + km(k+1,j,i+1) )
	178	kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + &
	179	km(k+1,j,i) + km(k+1,j,i-1) )
	180	kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + &
	181	km(k,j+1,i) + km(k+1,j+1,i) )
	182	kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + &
	183	km(k,j-1,i) + km(k+1,j-1,i) )
[1]	184
	185	tend(k,j,i) = tend(k,j,i) &
[2232]	186	+ ( mask_east * kmxp * ( &
	187	( w(k,j,i+1) - w(k,j,i) ) * ddx &
	188	+ ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
	189	) &
	190	- mask_west * kmxm * ( &
	191	( w(k,j,i) - w(k,j,i-1) ) * ddx &
	192	+ ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	193	) &
	194	) * ddx * flag &
	195	+ ( mask_north * kmyp * ( &
	196	( w(k,j+1,i) - w(k,j,i) ) * ddy &
	197	+ ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
	198	) &
	199	- mask_south * kmym * ( &
	200	( w(k,j,i) - w(k,j-1,i) ) * ddy &
	201	+ ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	202	) &
	203	) * ddy * flag &
	204	+ 2.0_wp * ( &
	205	km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
	206	* rho_air(k+1) &
	207	- km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	208	* rho_air(k) &
	209	) * ddzu(k+1) * drho_air_zw(k) * flag
[1]	210	ENDDO
	211
	212	!
[2232]	213	!-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1)
	214	!-- surfaces. Note, in the the flat case, loops won't be entered as
	215	!-- start_index > end_index. Furtermore, note, no vertical natural surfaces
	216	!-- so far.
	217	!-- Default-type surfaces
	218	DO l = 0, 1
	219	surf_s = surf_def_v(l)%start_index(j,i)
	220	surf_e = surf_def_v(l)%end_index(j,i)
	221	DO m = surf_s, surf_e
	222	k = surf_def_v(l)%k(m)
	223	tend(k,j,i) = tend(k,j,i) + &
	224	surf_def_v(l)%mom_flux_w(m) * ddy
	225	ENDDO
	226	ENDDO
[1]	227	!
[2232]	228	!-- Natural-type surfaces
	229	DO l = 0, 1
	230	surf_s = surf_lsm_v(l)%start_index(j,i)
	231	surf_e = surf_lsm_v(l)%end_index(j,i)
	232	DO m = surf_s, surf_e
	233	k = surf_lsm_v(l)%k(m)
	234	tend(k,j,i) = tend(k,j,i) + &
	235	surf_lsm_v(l)%mom_flux_w(m) * ddy
	236	ENDDO
	237	ENDDO
	238	!
	239	!-- Urban-type surfaces
	240	DO l = 0, 1
	241	surf_s = surf_usm_v(l)%start_index(j,i)
	242	surf_e = surf_usm_v(l)%end_index(j,i)
	243	DO m = surf_s, surf_e
	244	k = surf_usm_v(l)%k(m)
	245	tend(k,j,i) = tend(k,j,i) + &
	246	surf_usm_v(l)%mom_flux_w(m) * ddy
	247	ENDDO
	248	ENDDO
	249	!
	250	!-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3)
	251	!-- surface.
	252	!-- Default-type surfaces
	253	DO l = 2, 3
	254	surf_s = surf_def_v(l)%start_index(j,i)
	255	surf_e = surf_def_v(l)%end_index(j,i)
	256	DO m = surf_s, surf_e
	257	k = surf_def_v(l)%k(m)
	258	tend(k,j,i) = tend(k,j,i) + &
	259	surf_def_v(l)%mom_flux_w(m) * ddx
	260	ENDDO
	261	ENDDO
	262	!
	263	!-- Natural-type surfaces
	264	DO l = 2, 3
	265	surf_s = surf_lsm_v(l)%start_index(j,i)
	266	surf_e = surf_lsm_v(l)%end_index(j,i)
	267	DO m = surf_s, surf_e
	268	k = surf_lsm_v(l)%k(m)
	269	tend(k,j,i) = tend(k,j,i) + &
	270	surf_lsm_v(l)%mom_flux_w(m) * ddx
	271	ENDDO
	272	ENDDO
	273	!
	274	!-- Urban-type surfaces
	275	DO l = 2, 3
	276	surf_s = surf_usm_v(l)%start_index(j,i)
	277	surf_e = surf_usm_v(l)%end_index(j,i)
	278	DO m = surf_s, surf_e
	279	k = surf_usm_v(l)%k(m)
	280	tend(k,j,i) = tend(k,j,i) + &
	281	surf_usm_v(l)%mom_flux_w(m) * ddx
	282	ENDDO
	283	ENDDO
[1]	284
	285	ENDDO
	286	ENDDO
	287
	288	END SUBROUTINE diffusion_w
	289
	290
	291	!------------------------------------------------------------------------------!
[1682]	292	! Description:
	293	! ------------
	294	!> Call for grid point i,j
[1]	295	!------------------------------------------------------------------------------!
[1001]	296	SUBROUTINE diffusion_w_ij( i, j )
[1]	297
[1320]	298	USE arrays_3d, &
[2037]	299	ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air
[1320]	300
	301	USE control_parameters, &
	302	ONLY : topography
	303
	304	USE grid_variables, &
[2232]	305	ONLY : ddx, ddy
[1320]	306
	307	USE indices, &
[2232]	308	ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0
[1320]	309
	310	USE kinds
[1]	311
[2232]	312	USE surface_mod, &
	313	ONLY : surf_def_v, surf_lsm_v, surf_usm_v
	314
[1]	315	IMPLICIT NONE
	316
[2232]	317
	318	INTEGER(iwp) :: i !< running index x direction
	319	INTEGER(iwp) :: j !< running index y direction
	320	INTEGER(iwp) :: k !< running index z direction
	321	INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall
	322	INTEGER(iwp) :: m !< running index surface elements
	323	INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint
	324	INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint
[1320]	325
[2232]	326	REAL(wp) :: flag !< flag to mask topography grid points
	327	REAL(wp) :: kmxm !<
	328	REAL(wp) :: kmxp !<
	329	REAL(wp) :: kmym !<
	330	REAL(wp) :: kmyp !<
	331	REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point
	332	REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point
	333	REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point
	334	REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point
[1]	335
	336
[2232]	337	DO k = nzb+1, nzt-1
[1]	338	!
[2232]	339	!-- Predetermine flag to mask topography and wall-bounded grid points.
	340	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) )
	341	mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) )
	342	mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) )
	343	mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) )
	344	mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) )
	345	!
[1]	346	!-- Interpolate eddy diffusivities on staggered gridpoints
[1322]	347	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) )
	348	kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) )
	349	kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) )
	350	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]	351
	352	tend(k,j,i) = tend(k,j,i) &
[2232]	353	+ ( mask_east * kmxp * ( &
	354	( w(k,j,i+1) - w(k,j,i) ) * ddx &
	355	+ ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) &
	356	) &
	357	- mask_west * kmxm * ( &
	358	( w(k,j,i) - w(k,j,i-1) ) * ddx &
	359	+ ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
	360	) &
	361	) * ddx * flag &
	362	+ ( mask_north * kmyp * ( &
	363	( w(k,j+1,i) - w(k,j,i) ) * ddy &
	364	+ ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) &
	365	) &
	366	- mask_south * kmym * ( &
	367	( w(k,j,i) - w(k,j-1,i) ) * ddy &
	368	+ ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	369	) &
	370	) * ddy * flag &
	371	+ 2.0_wp * ( &
	372	km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) &
	373	* rho_air(k+1) &
	374	- km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) &
	375	* rho_air(k) &
	376	) * ddzu(k+1) * drho_air_zw(k) * flag
[1]	377	ENDDO
	378	!
[2232]	379	!-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1)
	380	!-- surfaces. Note, in the the flat case, loops won't be entered as
	381	!-- start_index > end_index. Furtermore, note, no vertical natural surfaces
	382	!-- so far.
	383	!-- Default-type surfaces
	384	DO l = 0, 1
	385	surf_s = surf_def_v(l)%start_index(j,i)
	386	surf_e = surf_def_v(l)%end_index(j,i)
	387	DO m = surf_s, surf_e
	388	k = surf_def_v(l)%k(m)
	389	tend(k,j,i) = tend(k,j,i) + &
	390	surf_def_v(l)%mom_flux_w(m) * ddy
	391	ENDDO
	392	ENDDO
[51]	393	!
[2232]	394	!-- Natural-type surfaces
	395	DO l = 0, 1
	396	surf_s = surf_lsm_v(l)%start_index(j,i)
	397	surf_e = surf_lsm_v(l)%end_index(j,i)
	398	DO m = surf_s, surf_e
	399	k = surf_lsm_v(l)%k(m)
	400	tend(k,j,i) = tend(k,j,i) + &
	401	surf_lsm_v(l)%mom_flux_w(m) * ddy
	402	ENDDO
	403	ENDDO
[1]	404	!
[2232]	405	!-- Urban-type surfaces
	406	DO l = 0, 1
	407	surf_s = surf_usm_v(l)%start_index(j,i)
	408	surf_e = surf_usm_v(l)%end_index(j,i)
	409	DO m = surf_s, surf_e
	410	k = surf_usm_v(l)%k(m)
	411	tend(k,j,i) = tend(k,j,i) + &
	412	surf_usm_v(l)%mom_flux_w(m) * ddy
	413	ENDDO
	414	ENDDO
	415	!
	416	!-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3)
	417	!-- surfaces.
	418	!-- Default-type surfaces
	419	DO l = 2, 3
	420	surf_s = surf_def_v(l)%start_index(j,i)
	421	surf_e = surf_def_v(l)%end_index(j,i)
	422	DO m = surf_s, surf_e
	423	k = surf_def_v(l)%k(m)
	424	tend(k,j,i) = tend(k,j,i) + &
	425	surf_def_v(l)%mom_flux_w(m) * ddx
	426	ENDDO
	427	ENDDO
	428	!
	429	!-- Natural-type surfaces
	430	DO l = 2, 3
	431	surf_s = surf_lsm_v(l)%start_index(j,i)
	432	surf_e = surf_lsm_v(l)%end_index(j,i)
	433	DO m = surf_s, surf_e
	434	k = surf_lsm_v(l)%k(m)
	435	tend(k,j,i) = tend(k,j,i) + &
	436	surf_lsm_v(l)%mom_flux_w(m) * ddx
	437	ENDDO
	438	ENDDO
	439	!
	440	!-- Urban-type surfaces
	441	DO l = 2, 3
	442	surf_s = surf_usm_v(l)%start_index(j,i)
	443	surf_e = surf_usm_v(l)%end_index(j,i)
	444	DO m = surf_s, surf_e
	445	k = surf_usm_v(l)%k(m)
	446	tend(k,j,i) = tend(k,j,i) + &
	447	surf_usm_v(l)%mom_flux_w(m) * ddx
	448	ENDDO
	449	ENDDO
[1]	450
	451
	452	END SUBROUTINE diffusion_w_ij
	453
[1323]	454	END MODULE diffusion_w_mod

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