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source: palm/trunk/SOURCE/diffusion_v.f90 @ 4340

Last change on this file since 4340 was 4329, checked in by motisi, 5 years ago
Renamed wall_flags_0 to wall_flags_static_0
Property svn:keywords set to `Id`
File size: 23.7 KB

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[1873]	1	!> @file diffusion_v.f90
[2000]	2	!------------------------------------------------------------------------------!
[2696]	3	! This file is part of the PALM model system.
[1036]	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	!
[3655]	17	! Copyright 1997-2019 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_v.f90 4329 2019-12-10 15:46:36Z Giersch $
[4329]	27	! Renamed wall_flags_0 to wall_flags_static_0
	28	!
	29	! 4182 2019-08-22 15:20:23Z scharf
[4182]	30	! Corrected "Former revisions" section
	31	!
	32	! 3655 2019-01-07 16:51:22Z knoop
[3634]	33	! OpenACC port for SPEC
[2716]	34	!
[4182]	35	! Revision 1.1 1997/09/12 06:24:01 raasch
	36	! Initial revision
	37	!
	38	!
[1]	39	! Description:
	40	! ------------
[1682]	41	!> Diffusion term of the v-component
[1]	42	!------------------------------------------------------------------------------!
[1682]	43	MODULE diffusion_v_mod
	44
[1]	45
	46	PRIVATE
[2118]	47	PUBLIC diffusion_v
[1]	48
	49	INTERFACE diffusion_v
	50	MODULE PROCEDURE diffusion_v
	51	MODULE PROCEDURE diffusion_v_ij
	52	END INTERFACE diffusion_v
	53
	54	CONTAINS
	55
	56
	57	!------------------------------------------------------------------------------!
[1682]	58	! Description:
	59	! ------------
	60	!> Call for all grid points
[1]	61	!------------------------------------------------------------------------------!
[1001]	62	SUBROUTINE diffusion_v
[1]	63
[1320]	64	USE arrays_3d, &
[2232]	65	ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw
[1320]	66
	67	USE control_parameters, &
[2232]	68	ONLY: constant_top_momentumflux, use_surface_fluxes, &
[1320]	69	use_top_fluxes
	70
	71	USE grid_variables, &
[2232]	72	ONLY: ddx, ddy, ddy2
[1320]	73
	74	USE indices, &
[4329]	75	ONLY: nxl, nxr, nyn, nysv, nzb, nzt, wall_flags_static_0
[1320]	76
	77	USE kinds
[1]	78
[2232]	79	USE surface_mod, &
	80	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	81	surf_usm_v
	82
[1]	83	IMPLICIT NONE
	84
[2232]	85	INTEGER(iwp) :: i !< running index x direction
	86	INTEGER(iwp) :: j !< running index y direction
	87	INTEGER(iwp) :: k !< running index z direction
	88	INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall
	89	INTEGER(iwp) :: m !< running index surface elements
	90	INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint
	91	INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint
[1001]	92
[2232]	93	REAL(wp) :: flag !< flag to mask topography grid points
[3547]	94	REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the v-gridbox - interpolated onto xu-yv grid
	95	REAL(wp) :: kmxp !< diffusion coefficient on rightward side of the v-gridbox - interpolated onto xu-yv grid
	96	REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto yv-zw grid
	97	REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto yv-zw grid
[2232]	98	REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface
	99	REAL(wp) :: mask_east !< flag to mask vertical surface south of the grid point
	100	REAL(wp) :: mask_west !< flag to mask vertical surface north of the grid point
	101	REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface
[1]	102
[3634]	103	!$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) &
	104	!$ACC PRIVATE(surf_e, surf_s, flag, kmxm, kmxp, kmzm, kmzp) &
	105	!$ACC PRIVATE(mask_bottom, mask_east, mask_west, mask_top) &
[4329]	106	!$ACC PRESENT(wall_flags_static_0, km) &
[3634]	107	!$ACC PRESENT(u, v, w) &
	108	!$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) &
	109	!$ACC PRESENT(surf_def_h(0:2), surf_def_v(2:3)) &
	110	!$ACC PRESENT(surf_lsm_h, surf_lsm_v(2:3)) &
	111	!$ACC PRESENT(surf_usm_h, surf_usm_v(0:3)) &
	112	!$ACC PRESENT(tend)
[1]	113	DO i = nxl, nxr
[106]	114	DO j = nysv, nyn
[1]	115	!
	116	!-- Compute horizontal diffusion
[2232]	117	DO k = nzb+1, nzt
	118
[1]	119	!
[2232]	120	!-- Predetermine flag to mask topography and wall-bounded grid points.
	121	!-- It is sufficient to masked only east- and west-facing surfaces, which
	122	!-- need special treatment for the v-component.
[4329]	123	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 2 ) )
	124	mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i+1), 2 ) )
	125	mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i-1), 2 ) )
[2232]	126	!
[1]	127	!-- Interpolate eddy diffusivities on staggered gridpoints
[2232]	128	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	129	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]	130
[2232]	131	tend(k,j,i) = tend(k,j,i) + ( &
	132	mask_east * kmxp * ( &
	133	( v(k,j,i+1) - v(k,j,i) ) * ddx &
	134	+ ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	135	) &
	136	- mask_west * kmxm * ( &
	137	( v(k,j,i) - v(k,j,i-1) ) * ddx &
	138	+ ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	139	) &
	140	) * ddx * flag &
	141	+ 2.0_wp * ( &
	142	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	143	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	144	) * ddy2 * flag
	145
[1]	146	ENDDO
	147
	148	!
[2232]	149	!-- Add horizontal momentum flux v'u' at east- (l=2) and west-facing (l=3)
	150	!-- surfaces. Note, in the the flat case, loops won't be entered as
	151	!-- start_index > end_index. Furtermore, note, no vertical natural surfaces
	152	!-- so far.
	153	!-- Default-type surfaces
	154	DO l = 2, 3
	155	surf_s = surf_def_v(l)%start_index(j,i)
	156	surf_e = surf_def_v(l)%end_index(j,i)
	157	DO m = surf_s, surf_e
	158	k = surf_def_v(l)%k(m)
	159	tend(k,j,i) = tend(k,j,i) + &
	160	surf_def_v(l)%mom_flux_uv(m) * ddx
	161	ENDDO
	162	ENDDO
[1]	163	!
[2232]	164	!-- Natural-type surfaces
	165	DO l = 2, 3
	166	surf_s = surf_lsm_v(l)%start_index(j,i)
	167	surf_e = surf_lsm_v(l)%end_index(j,i)
	168	DO m = surf_s, surf_e
	169	k = surf_lsm_v(l)%k(m)
	170	tend(k,j,i) = tend(k,j,i) + &
	171	surf_lsm_v(l)%mom_flux_uv(m) * ddx
	172	ENDDO
	173	ENDDO
[1]	174	!
[2232]	175	!-- Urban-type surfaces
	176	DO l = 2, 3
	177	surf_s = surf_usm_v(l)%start_index(j,i)
	178	surf_e = surf_usm_v(l)%end_index(j,i)
	179	DO m = surf_s, surf_e
	180	k = surf_usm_v(l)%k(m)
	181	tend(k,j,i) = tend(k,j,i) + &
	182	surf_usm_v(l)%mom_flux_uv(m) * ddx
	183	ENDDO
	184	ENDDO
	185	!
	186	!-- Compute vertical diffusion. In case of simulating a surface layer,
	187	!-- respective grid diffusive fluxes are masked (flag 10) within this
	188	!-- loop, and added further below, else, simple gradient approach is
	189	!-- applied. Model top is also mask if top-momentum flux is given.
	190	DO k = nzb+1, nzt
	191	!
	192	!-- Determine flags to mask topography below and above. Flag 2 is
	193	!-- used to mask topography in general, while flag 8 implies also
	194	!-- information about use_surface_fluxes. Flag 9 is used to control
	195	!-- momentum flux at model top.
	196	mask_bottom = MERGE( 1.0_wp, 0.0_wp, &
[4329]	197	BTEST( wall_flags_static_0(k-1,j,i), 8 ) )
[2232]	198	mask_top = MERGE( 1.0_wp, 0.0_wp, &
[4329]	199	BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * &
[2232]	200	MERGE( 1.0_wp, 0.0_wp, &
[4329]	201	BTEST( wall_flags_static_0(k+1,j,i), 9 ) )
[2232]	202	flag = MERGE( 1.0_wp, 0.0_wp, &
[4329]	203	BTEST( wall_flags_static_0(k,j,i), 2 ) )
[2232]	204	!
[1]	205	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	206	kmzp = 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) )
[1340]	208	kmzm = 0.25_wp * &
[1]	209	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
	210
[1320]	211	tend(k,j,i) = tend(k,j,i) &
	212	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	213	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
[2232]	214	& ) * rho_air_zw(k) * mask_top &
[1320]	215	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	216	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
[2232]	217	& ) * rho_air_zw(k-1) * mask_bottom &
	218	& ) * ddzw(k) * drho_air(k) * flag
[1]	219	ENDDO
	220
	221	!
	222	!-- Vertical diffusion at the first grid point above the surface,
	223	!-- if the momentum flux at the bottom is given by the Prandtl law
	224	!-- or if it is prescribed by the user.
	225	!-- Difference quotient of the momentum flux is not formed over
	226	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
[1320]	227	!-- comparison with other (LES) models showed that the values of
[1]	228	!-- the momentum flux becomes too large in this case.
	229	IF ( use_surface_fluxes ) THEN
	230	!
[2232]	231	!-- Default-type surfaces, upward-facing
	232	surf_s = surf_def_h(0)%start_index(j,i)
	233	surf_e = surf_def_h(0)%end_index(j,i)
	234	DO m = surf_s, surf_e
	235	k = surf_def_h(0)%k(m)
[1]	236
[2232]	237	tend(k,j,i) = tend(k,j,i) &
	238	+ ( - ( - surf_def_h(0)%vsws(m) ) &
	239	) * ddzw(k) * drho_air(k)
	240	ENDDO
	241	!
	242	!-- Default-type surfaces, dowward-facing
	243	surf_s = surf_def_h(1)%start_index(j,i)
	244	surf_e = surf_def_h(1)%end_index(j,i)
	245	DO m = surf_s, surf_e
	246	k = surf_def_h(1)%k(m)
[1]	247
[2232]	248	tend(k,j,i) = tend(k,j,i) &
	249	+ ( - surf_def_h(1)%vsws(m) &
	250	) * ddzw(k) * drho_air(k)
	251	ENDDO
[102]	252	!
[2232]	253	!-- Natural-type surfaces, upward-facing
	254	surf_s = surf_lsm_h%start_index(j,i)
	255	surf_e = surf_lsm_h%end_index(j,i)
	256	DO m = surf_s, surf_e
	257	k = surf_lsm_h%k(m)
	258
	259	tend(k,j,i) = tend(k,j,i) &
	260	+ ( - ( - surf_lsm_h%vsws(m) ) &
	261	) * ddzw(k) * drho_air(k)
	262
	263	ENDDO
[102]	264	!
[2232]	265	!-- Urban-type surfaces, upward-facing
	266	surf_s = surf_usm_h%start_index(j,i)
	267	surf_e = surf_usm_h%end_index(j,i)
	268	DO m = surf_s, surf_e
	269	k = surf_usm_h%k(m)
[102]	270
[2232]	271	tend(k,j,i) = tend(k,j,i) &
	272	+ ( - ( - surf_usm_h%vsws(m) ) &
	273	) * ddzw(k) * drho_air(k)
	274
	275	ENDDO
[102]	276	ENDIF
[2232]	277	!
	278	!-- Add momentum flux at model top
[2638]	279	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[2232]	280	surf_s = surf_def_h(2)%start_index(j,i)
	281	surf_e = surf_def_h(2)%end_index(j,i)
	282	DO m = surf_s, surf_e
[102]	283
[2232]	284	k = surf_def_h(2)%k(m)
	285
	286	tend(k,j,i) = tend(k,j,i) &
	287	+ ( - surf_def_h(2)%vsws(m) ) * ddzw(k) * drho_air(k)
	288	ENDDO
	289	ENDIF
	290
[1]	291	ENDDO
	292	ENDDO
	293
	294	END SUBROUTINE diffusion_v
	295
	296
	297	!------------------------------------------------------------------------------!
[1682]	298	! Description:
	299	! ------------
	300	!> Call for grid point i,j
[1]	301	!------------------------------------------------------------------------------!
[1001]	302	SUBROUTINE diffusion_v_ij( i, j )
[1]	303
[1320]	304	USE arrays_3d, &
[2232]	305	ONLY: ddzu, ddzw, km, tend, u, v, w, drho_air, rho_air_zw
[1320]	306
	307	USE control_parameters, &
[2232]	308	ONLY: constant_top_momentumflux, use_surface_fluxes, &
	309	use_top_fluxes
[1320]	310
	311	USE grid_variables, &
[2232]	312	ONLY: ddx, ddy, ddy2
[1320]	313
	314	USE indices, &
[4329]	315	ONLY: nzb, nzt, wall_flags_static_0
[1320]	316
	317	USE kinds
[1]	318
[2232]	319	USE surface_mod, &
	320	ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, &
	321	surf_usm_v
	322
[1]	323	IMPLICIT NONE
	324
	325
[2232]	326	INTEGER(iwp) :: i !< running index x direction
	327	INTEGER(iwp) :: j !< running index y direction
	328	INTEGER(iwp) :: k !< running index z direction
	329	INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall
	330	INTEGER(iwp) :: m !< running index surface elements
	331	INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint
	332	INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint
[1001]	333
[2232]	334	REAL(wp) :: flag !< flag to mask topography grid points
[3547]	335	REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the v-gridbox - interpolated onto xu-yv grid
	336	REAL(wp) :: kmxp !< diffusion coefficient on rightward side of the v-gridbox - interpolated onto xu-yv grid
	337	REAL(wp) :: kmzm !< diffusion coefficient on bottom of the gridbox - interpolated onto xu-zw grid
	338	REAL(wp) :: kmzp !< diffusion coefficient on top of the gridbox - interpolated onto xu-zw grid
[2232]	339	REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface
	340	REAL(wp) :: mask_east !< flag to mask vertical surface south of the grid point
	341	REAL(wp) :: mask_west !< flag to mask vertical surface north of the grid point
	342	REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface
	343
[1]	344	!
	345	!-- Compute horizontal diffusion
[2232]	346	DO k = nzb+1, nzt
[1]	347	!
[2232]	348	!-- Predetermine flag to mask topography and wall-bounded grid points.
	349	!-- It is sufficient to masked only east- and west-facing surfaces, which
	350	!-- need special treatment for the v-component.
[4329]	351	flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 2 ) )
	352	mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i+1), 2 ) )
	353	mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i-1), 2 ) )
[2232]	354	!
[1]	355	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	356	kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
	357	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]	358
[2232]	359	tend(k,j,i) = tend(k,j,i) + ( &
	360	mask_east * kmxp * ( &
	361	( v(k,j,i+1) - v(k,j,i) ) * ddx &
	362	+ ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
	363	) &
	364	- mask_west * kmxm * ( &
	365	( v(k,j,i) - v(k,j,i-1) ) * ddx &
	366	+ ( u(k,j,i) - u(k,j-1,i) ) * ddy &
	367	) &
	368	) * ddx * flag &
	369	+ 2.0_wp * ( &
	370	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
	371	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
	372	) * ddy2 * flag
[1]	373	ENDDO
	374
	375	!
[2232]	376	!-- Add horizontal momentum flux v'u' at east- (l=2) and west-facing (l=3)
	377	!-- surfaces. Note, in the the flat case, loops won't be entered as
	378	!-- start_index > end_index. Furtermore, note, no vertical natural surfaces
	379	!-- so far.
	380	!-- Default-type surfaces
	381	DO l = 2, 3
	382	surf_s = surf_def_v(l)%start_index(j,i)
	383	surf_e = surf_def_v(l)%end_index(j,i)
	384	DO m = surf_s, surf_e
	385	k = surf_def_v(l)%k(m)
	386	tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_uv(m) * ddx
	387	ENDDO
	388	ENDDO
[51]	389	!
[2232]	390	!-- Natural-type surfaces
	391	DO l = 2, 3
	392	surf_s = surf_lsm_v(l)%start_index(j,i)
	393	surf_e = surf_lsm_v(l)%end_index(j,i)
	394	DO m = surf_s, surf_e
	395	k = surf_lsm_v(l)%k(m)
	396	tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_uv(m) * ddx
	397	ENDDO
	398	ENDDO
[1]	399	!
[2232]	400	!-- Urban-type surfaces
	401	DO l = 2, 3
	402	surf_s = surf_usm_v(l)%start_index(j,i)
	403	surf_e = surf_usm_v(l)%end_index(j,i)
	404	DO m = surf_s, surf_e
	405	k = surf_usm_v(l)%k(m)
	406	tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_uv(m) * ddx
	407	ENDDO
	408	ENDDO
[1]	409	!
[2232]	410	!-- Compute vertical diffusion. In case of simulating a surface layer,
	411	!-- respective grid diffusive fluxes are masked (flag 8) within this
	412	!-- loop, and added further below, else, simple gradient approach is
	413	!-- applied. Model top is also mask if top-momentum flux is given.
	414	DO k = nzb+1, nzt
	415	!
	416	!-- Determine flags to mask topography below and above. Flag 2 is
	417	!-- used to mask topography in general, while flag 10 implies also
	418	!-- information about use_surface_fluxes. Flag 9 is used to control
	419	!-- momentum flux at model top.
	420	mask_bottom = MERGE( 1.0_wp, 0.0_wp, &
[4329]	421	BTEST( wall_flags_static_0(k-1,j,i), 8 ) )
[2232]	422	mask_top = MERGE( 1.0_wp, 0.0_wp, &
[4329]	423	BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * &
[2232]	424	MERGE( 1.0_wp, 0.0_wp, &
[4329]	425	BTEST( wall_flags_static_0(k+1,j,i), 9 ) )
[2232]	426	flag = MERGE( 1.0_wp, 0.0_wp, &
[4329]	427	BTEST( wall_flags_static_0(k,j,i), 2 ) )
[2232]	428	!
[1]	429	!-- Interpolate eddy diffusivities on staggered gridpoints
[1340]	430	kmzp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
	431	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]	432
[1320]	433	tend(k,j,i) = tend(k,j,i) &
	434	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
	435	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
[2232]	436	& ) * rho_air_zw(k) * mask_top &
[1320]	437	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
	438	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
[2232]	439	& ) * rho_air_zw(k-1) * mask_bottom &
	440	& ) * ddzw(k) * drho_air(k) * flag
[1]	441	ENDDO
	442
	443	!
	444	!-- Vertical diffusion at the first grid point above the surface, if the
	445	!-- momentum flux at the bottom is given by the Prandtl law or if it is
	446	!-- prescribed by the user.
	447	!-- Difference quotient of the momentum flux is not formed over half of
	448	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
[1320]	449	!-- other (LES) models showed that the values of the momentum flux becomes
[1]	450	!-- too large in this case.
	451	IF ( use_surface_fluxes ) THEN
	452	!
[2232]	453	!-- Default-type surfaces, upward-facing
	454	surf_s = surf_def_h(0)%start_index(j,i)
	455	surf_e = surf_def_h(0)%end_index(j,i)
	456	DO m = surf_s, surf_e
	457	k = surf_def_h(0)%k(m)
[1]	458
[2232]	459	tend(k,j,i) = tend(k,j,i) &
	460	+ ( - ( - surf_def_h(0)%vsws(m) ) &
	461	) * ddzw(k) * drho_air(k)
	462	ENDDO
	463	!
	464	!-- Default-type surfaces, dowward-facing
	465	surf_s = surf_def_h(1)%start_index(j,i)
	466	surf_e = surf_def_h(1)%end_index(j,i)
	467	DO m = surf_s, surf_e
	468	k = surf_def_h(1)%k(m)
[1]	469
[2232]	470	tend(k,j,i) = tend(k,j,i) &
	471	+ ( - surf_def_h(1)%vsws(m) &
	472	) * ddzw(k) * drho_air(k)
	473	ENDDO
[102]	474	!
[2232]	475	!-- Natural-type surfaces, upward-facing
	476	surf_s = surf_lsm_h%start_index(j,i)
	477	surf_e = surf_lsm_h%end_index(j,i)
	478	DO m = surf_s, surf_e
	479	k = surf_lsm_h%k(m)
	480
	481	tend(k,j,i) = tend(k,j,i) &
	482	+ ( - ( - surf_lsm_h%vsws(m) ) &
	483	) * ddzw(k) * drho_air(k)
	484
	485	ENDDO
[102]	486	!
[2232]	487	!-- Urban-type surfaces, upward-facing
	488	surf_s = surf_usm_h%start_index(j,i)
	489	surf_e = surf_usm_h%end_index(j,i)
	490	DO m = surf_s, surf_e
	491	k = surf_usm_h%k(m)
[102]	492
[2232]	493	tend(k,j,i) = tend(k,j,i) &
	494	+ ( - ( - surf_usm_h%vsws(m) ) &
	495	) * ddzw(k) * drho_air(k)
	496
	497	ENDDO
[102]	498	ENDIF
[2232]	499	!
	500	!-- Add momentum flux at model top
[2638]	501	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
[2232]	502	surf_s = surf_def_h(2)%start_index(j,i)
	503	surf_e = surf_def_h(2)%end_index(j,i)
	504	DO m = surf_s, surf_e
[102]	505
[2232]	506	k = surf_def_h(2)%k(m)
	507
	508	tend(k,j,i) = tend(k,j,i) &
	509	+ ( - surf_def_h(2)%vsws(m) ) * ddzw(k) * drho_air(k)
	510	ENDDO
	511	ENDIF
	512
[1]	513	END SUBROUTINE diffusion_v_ij
	514
[1321]	515	END MODULE diffusion_v_mod

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