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diffusion_v.f90 @ 667

Last change on this file since 667 was 667, checked in by suehring, 14 years ago

summary:

Gryschka:

Coupling with different resolution and different numbers of PEs in ocean and atmosphere is available
Exchange of u and v from ocean surface to atmosphere surface
Mirror boundary condition for u and v at the bottom are replaced by dirichlet boundary conditions
Inflow turbulence is now defined by flucuations around spanwise mean
Bugfixes for cyclic_fill and constant_volume_flow

Suehring:

New advection added ( Wicker and Skamarock 5th order ), therefore:
- New module advec_ws.f90
- Modified exchange of ghost boundaries.
- Modified evaluation of turbulent fluxes
- New index bounds nxlg, nxrg, nysg, nyng

advec_ws.f90

Advection scheme for scalars and momentum using the flux formulation of
Wicker and Skamarock 5th order.
Additionally the module contains of a routine using for initialisation and
steering of the statical evaluation. The computation of turbulent fluxes takes
place inside the advection routines.
In case of vector architectures Dirichlet and Radiation boundary conditions are
outstanding and not available. Furthermore simulations within topography are
not possible so far. A further routine local_diss_ij is available and is used
if a control of dissipative fluxes is desired.

check_parameters.f90

Exchange of parameters between ocean and atmosphere via PE0
Check for illegal combination of ws-scheme and timestep scheme.
Check for topography and ws-scheme.
Check for not cyclic boundary conditions in combination with ws-scheme and
loop_optimization = 'vector'.
Check for call_psolver_at_all_substeps and ws-scheme for momentum_advec.

Different processor/grid topology in atmosphere and ocean is now allowed!
Bugfixes in checking for conserve_volume_flow_mode.

exchange_horiz.f90

Dynamic exchange of ghost points with nbgp_local to ensure that no useless
ghost points exchanged in case of multigrid. type_yz(0) and type_xz(0) used for
normal grid, the remaining types used for the several grid levels.
Exchange is done via MPI-Vectors with a dynamic value of ghost points which
depend on the advection scheme. Exchange of left and right PEs is 10% faster
with MPI-Vectors than without.

flow_statistics.f90

When advection is computed with ws-scheme, turbulent fluxes are already
computed in the respective advection routines and buffered in arrays
sums_xxxx_ws_l(). This is due to a consistent treatment of statistics
with the numerics and to avoid unphysical kinks near the surface. So some if-
requests has to be done to dicern between fluxes from ws-scheme other advection
schemes. Furthermore the computation of z_i is only done if the heat flux
exceeds a minimum value. This affects only simulations of a neutral boundary
layer and is due to reasons of computations in the advection scheme.

inflow_turbulence.f90

Using nbgp recycling planes for a better resolution of the turbulent flow near
the inflow.

init_grid.f90

Definition of new array bounds nxlg, nxrg, nysg, nyng on each PE.
Furthermore the allocation of arrays and steering of loops is done with these
parameters. Call of exchange_horiz are modified.
In case of dirichlet bounday condition at the bottom zu(0)=0.0
dzu_mg has to be set explicitly for a equally spaced grid near bottom.
ddzu_pres added to use a equally spaced grid near bottom.

init_pegrid.f90

Moved determination of target_id's from init_coupling
Determination of parameters needed for coupling (coupling_topology, ngp_a, ngp_o)
with different grid/processor-topology in ocean and atmosphere

Adaption of ngp_xy, ngp_y to a dynamic number of ghost points.
The maximum_grid_level changed from 1 to 0. 0 is the normal grid, 1 to
maximum_grid_level the grids for multigrid, in which 0 and 1 are normal grids.
This distinction is due to reasons of data exchange and performance for the
normal grid and grids in poismg.
The definition of MPI-Vectors adapted to a dynamic numer of ghost points.
New MPI-Vectors for data exchange between left and right boundaries added.
This is due to reasons of performance (10% faster).

ATTENTION: nnz_x undefined problem still has to be solved!!!!!!!!
TEST OUTPUT (TO BE REMOVED) logging mpi2 ierr values

parin.f90

Steering parameter dissipation_control added in inipar.

Makefile

Module advec_ws added.

Modules

Removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc

For coupling with different resolution in ocean and atmophere:
+nx_a, +nx_o, ny_a, +ny_o, ngp_a, ngp_o, +total_2d_o, +total_2d_a,
+coupling_topology

Buffer arrays for the left sided advective fluxes added in arrays_3d.
+flux_s_u, +flux_s_v, +flux_s_w, +diss_s_u, +diss_s_v, +diss_s_w,
+flux_s_pt, +diss_s_pt, +flux_s_e, +diss_s_e, +flux_s_q, +diss_s_q,
+flux_s_sa, +diss_s_sa
3d arrays for dissipation control added. (only necessary for vector arch.)
+var_x, +var_y, +var_z, +gamma_x, +gamma_y, +gamma_z
Default of momentum_advec and scalar_advec changed to 'ws-scheme' .
+exchange_mg added in control_parameters to steer the data exchange.
Parameters +nbgp, +nxlg, +nxrg, +nysg, +nyng added in indices.
flag array +boundary_flags added in indices to steer the degradation of order
of the advective fluxes when non-cyclic boundaries are used.
MPI-datatypes +type_y, +type_y_int and +type_yz for data_exchange added in
pegrid.
+sums_wsus_ws_l, +sums_wsvs_ws_l, +sums_us2_ws_l, +sums_vs2_ws_l,
+sums_ws2_ws_l, +sums_wspts_ws_l, +sums_wssas_ws_l, +sums_wsqs_ws_l
and +weight_substep added in statistics to steer the statistical evaluation
of turbulent fluxes in the advection routines.
LOGICALS +ws_scheme_sca and +ws_scheme_mom added to get a better performance
in prognostic_equations.
LOGICAL +dissipation_control control added to steer numerical dissipation
in ws-scheme.

Changed length of string run_description_header

pres.f90

New allocation of tend when ws-scheme and multigrid is used. This is due to
reasons of perforance of the data_exchange. The same is done with p after
poismg is called.
nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng when no
multigrid is used. Calls of exchange_horiz are modified.

bugfix: After pressure correction no volume flow correction in case of
non-cyclic boundary conditions
(has to be done only before pressure correction)

Call of SOR routine is referenced with ddzu_pres.

prognostic_equations.f90

Calls of the advection routines with WS5 added.
Calls of ws_statistics added to set the statistical arrays to zero after each
time step.

advec_particles.f90

Declaration of de_dx, de_dy, de_dz adapted to additional ghost points.
Furthermore the calls of exchange_horiz were modified.

asselin_filter.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

average_3d_data.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

boundary_conds.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
Removed mirror boundary conditions for u and v at the bottom in case of
ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
in init_3d_model

calc_liquid_water_content.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

calc_spectra.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng for
allocation of tend.

check_open.f90

Output of total array size was adapted to nbgp.

data_output_2d.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
allocation of arrays local_2d and total_2d.
Calls of exchange_horiz are modified.

data_output_2d.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
allocation of arrays. Calls of exchange_horiz are modified.
Skip-value skip_do_avs changed to a dynamic adaption of ghost points.

data_output_mask.f90

Calls of exchange_horiz are modified.

diffusion_e.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusion_s.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusion_u.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusion_v.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusion_w.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusivities.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

diffusivities.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.
Calls of exchange_horiz are modified.

exchange_horiz_2d.f90

Dynamic exchange of ghost points with nbgp, which depends on the advection
scheme. Exchange between left and right PEs is now done with MPI-vectors.

global_min_max.f90

Adapting of the index arrays, because MINLOC assumes lowerbound
at 1 and not at nbgp.

init_3d_model.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in loops and
allocation of arrays. Calls of exchange_horiz are modified.
Call ws_init to initialize arrays needed for statistical evaluation and
optimization when ws-scheme is used.
Initial volume flow is now calculated by using the variable hom_sum.
Therefore the correction of initial volume flow for non-flat topography
removed (removed u_nzb_p1_for_vfc and v_nzb_p1_for_vfc)
Changed surface boundary conditions for u and v in case of ibc_uv_b == 0 from
mirror bc to dirichlet boundary conditions (u=v=0), so that k=nzb is
representative for the height z0

Bugfix: type conversion of '1' to 64bit for the MAX function (ngp_3d_inner)

init_coupling.f90

determination of target_id's moved to init_pegrid

init_pt_anomaly.f90

Call of exchange_horiz are modified.

init_rankine.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.
Calls of exchange_horiz are modified.

init_slope.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

header.f90

Output of advection scheme.

poismg.f90

Calls of exchange_horiz are modified.

prandtl_fluxes.f90

Changed surface boundary conditions for u and v from mirror bc to dirichelt bc,
therefore u(uzb,:,:) and v(nzb,:,:) is now representative for the height z0
nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

production_e.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng

read_3d_binary.f90

+/- 1 replaced with +/- nbgp when swapping and allocating variables.

sor.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.
Call of exchange_horiz are modified.
bug removed in declaration of ddzw(), nz replaced by nzt+1

subsidence.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

sum_up_3d_data.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

surface_coupler.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng in
MPI_SEND() and MPI_RECV.
additional case for nonequivalent processor and grid topopolgy in ocean and
atmosphere added (coupling_topology = 1)

Added exchange of u and v from Ocean to Atmosphere

time_integration.f90

Calls of exchange_horiz are modified.
Adaption to slooping surface.

timestep.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

user_3d_data_averaging.f90, user_data_output_2d.f90, user_data_output_3d.f90,
user_actions.f90, user_init.f90, user_init_plant_canopy.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

user_read_restart_data.f90

Allocation with nbgp.

wall_fluxes.f90

nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng.

write_compressed.f90

Array bounds and nx, ny adapted with nbgp.

sor.f90

bug removed in declaration of ddzw(), nz replaced by nzt+1

Property svn:keywords set to Id

File size: 17.7 KB

Line
1	MODULE diffusion_v_mod
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
7	!
8	! Former revisions:
9	! -----------------
10	! $Id: diffusion_v.f90 667 2010-12-23 12:06:00Z suehring $
11	!
12	! 366 2009-08-25 08:06:27Z raasch
13	! bc_lr replaced by bc_lr_cyc
14	!
15	! 106 2007-08-16 14:30:26Z raasch
16	! Momentumflux at top (vswst) included as boundary condition,
17	! j loop is starting from nysv (needed for non-cyclic boundary conditions)
18	!
19	! 75 2007-03-22 09:54:05Z raasch
20	! Wall functions now include diabatic conditions, call of routine wall_fluxes,
21	! z0 removed from argument list, vynp eliminated
22	!
23	! 20 2007-02-26 00:12:32Z raasch
24	! Bugfix: ddzw dimensioned 1:nzt"+1"
25	!
26	! RCS Log replace by Id keyword, revision history cleaned up
27	!
28	! Revision 1.15 2006/02/23 10:36:00 raasch
29	! nzb_2d replaced by nzb_v_outer in horizontal diffusion and by nzb_v_inner
30	! or nzb_diff_v, respectively, in vertical diffusion,
31	! wall functions added for north and south walls, +z0 in argument list,
32	! terms containing w(k-1,..) are removed from the Prandtl-layer equation
33	! because they cause errors at the edges of topography
34	! WARNING: loops containing the MAX function are still not properly vectorized!
35	!
36	! Revision 1.1 1997/09/12 06:24:01 raasch
37	! Initial revision
38	!
39	!
40	! Description:
41	! ------------
42	! Diffusion term of the v-component
43	!------------------------------------------------------------------------------!
44
45	USE wall_fluxes_mod
46
47	PRIVATE
48	PUBLIC diffusion_v
49
50	INTERFACE diffusion_v
51	MODULE PROCEDURE diffusion_v
52	MODULE PROCEDURE diffusion_v_ij
53	END INTERFACE diffusion_v
54
55	CONTAINS
56
57
58	!------------------------------------------------------------------------------!
59	! Call for all grid points
60	!------------------------------------------------------------------------------!
61	SUBROUTINE diffusion_v( ddzu, ddzw, km, km_damp_x, tend, u, v, vsws, &
62	vswst, w )
63
64	USE control_parameters
65	USE grid_variables
66	USE indices
67
68	IMPLICIT NONE
69
70	INTEGER :: i, j, k
71	REAL :: kmxm_x, kmxm_y, kmxp_x, kmxp_y, kmzm, kmzp
72	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg)
73	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
74	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
75	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
76	REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus
77
78	!
79	!-- First calculate horizontal momentum flux v'u' at vertical walls,
80	!-- if neccessary
81	IF ( topography /= 'flat' ) THEN
82	CALL wall_fluxes( vsus, 0.0, 1.0, 0.0, 0.0, nzb_v_inner, &
83	nzb_v_outer, wall_v )
84	ENDIF
85
86	DO i = nxl, nxr
87	DO j = nysv, nyn
88	!
89	!-- Compute horizontal diffusion
90	DO k = nzb_v_outer(j,i)+1, nzt
91	!
92	!-- Interpolate eddy diffusivities on staggered gridpoints
93	kmxp_x = 0.25 * &
94	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
95	kmxm_x = 0.25 * &
96	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
97	kmxp_y = kmxp_x
98	kmxm_y = kmxm_x
99	!
100	!-- Increase diffusion at the outflow boundary in case of
101	!-- non-cyclic lateral boundaries. Damping is only needed for
102	!-- velocity components parallel to the outflow boundary in
103	!-- the direction normal to the outflow boundary.
104	IF ( .NOT. bc_lr_cyc ) THEN
105	kmxp_x = MAX( kmxp_x, km_damp_x(i) )
106	kmxm_x = MAX( kmxm_x, km_damp_x(i) )
107	ENDIF
108
109	tend(k,j,i) = tend(k,j,i) &
110	& + ( kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
111	& + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
112	& - kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
113	& - kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
114	& ) * ddx &
115	& + 2.0 * ( &
116	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
117	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
118	& ) * ddy2
119	ENDDO
120
121	!
122	!-- Wall functions at the left and right walls, respectively
123	IF ( wall_v(j,i) /= 0.0 ) THEN
124
125	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
126	kmxp_x = 0.25 * &
127	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
128	kmxm_x = 0.25 * &
129	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
130	kmxp_y = kmxp_x
131	kmxm_y = kmxm_x
132	!
133	!-- Increase diffusion at the outflow boundary in case of
134	!-- non-cyclic lateral boundaries. Damping is only needed for
135	!-- velocity components parallel to the outflow boundary in
136	!-- the direction normal to the outflow boundary.
137	IF ( .NOT. bc_lr_cyc ) THEN
138	kmxp_x = MAX( kmxp_x, km_damp_x(i) )
139	kmxm_x = MAX( kmxm_x, km_damp_x(i) )
140	ENDIF
141
142	tend(k,j,i) = tend(k,j,i) &
143	+ 2.0 * ( &
144	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
145	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
146	) * ddy2 &
147	+ ( fxp(j,i) * ( &
148	kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
149	+ kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
150	) &
151	- fxm(j,i) * ( &
152	kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
153	+ kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
154	) &
155	+ wall_v(j,i) * vsus(k,j,i) &
156	) * ddx
157	ENDDO
158	ENDIF
159
160	!
161	!-- Compute vertical diffusion. In case of simulating a Prandtl
162	!-- layer, index k starts at nzb_v_inner+2.
163	DO k = nzb_diff_v(j,i), nzt_diff
164	!
165	!-- Interpolate eddy diffusivities on staggered gridpoints
166	kmzp = 0.25 * &
167	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
168	kmzm = 0.25 * &
169	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
170
171	tend(k,j,i) = tend(k,j,i) &
172	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
173	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
174	& ) &
175	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
176	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
177	& ) &
178	& ) * ddzw(k)
179	ENDDO
180
181	!
182	!-- Vertical diffusion at the first grid point above the surface,
183	!-- if the momentum flux at the bottom is given by the Prandtl law
184	!-- or if it is prescribed by the user.
185	!-- Difference quotient of the momentum flux is not formed over
186	!-- half of the grid spacing (2.0*ddzw(k)) any more, since the
187	!-- comparison with other (LES) modell showed that the values of
188	!-- the momentum flux becomes too large in this case.
189	!-- The term containing w(k-1,..) (see above equation) is removed here
190	!-- because the vertical velocity is assumed to be zero at the surface.
191	IF ( use_surface_fluxes ) THEN
192	k = nzb_v_inner(j,i)+1
193	!
194	!-- Interpolate eddy diffusivities on staggered gridpoints
195	kmzp = 0.25 * &
196	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
197	kmzm = 0.25 * &
198	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
199
200	tend(k,j,i) = tend(k,j,i) &
201	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
202	& ) * ddzw(k) &
203	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
204	& + vsws(j,i) &
205	& ) * ddzw(k)
206	ENDIF
207
208	!
209	!-- Vertical diffusion at the first gridpoint below the top boundary,
210	!-- if the momentum flux at the top is prescribed by the user
211	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
212	k = nzt
213	!
214	!-- Interpolate eddy diffusivities on staggered gridpoints
215	kmzp = 0.25 * &
216	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
217	kmzm = 0.25 * &
218	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
219
220	tend(k,j,i) = tend(k,j,i) &
221	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
222	& ) * ddzw(k) &
223	& + ( -vswst(j,i) &
224	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
225	& ) * ddzw(k)
226	ENDIF
227
228	ENDDO
229	ENDDO
230
231	END SUBROUTINE diffusion_v
232
233
234	!------------------------------------------------------------------------------!
235	! Call for grid point i,j
236	!------------------------------------------------------------------------------!
237	SUBROUTINE diffusion_v_ij( i, j, ddzu, ddzw, km, km_damp_x, tend, u, v, &
238	vsws, vswst, w )
239
240	USE control_parameters
241	USE grid_variables
242	USE indices
243
244	IMPLICIT NONE
245
246	INTEGER :: i, j, k
247	REAL :: kmxm_x, kmxm_y, kmxp_x, kmxp_y, kmzm, kmzp
248	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_x(nxlg:nxrg)
249	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
250	REAL, DIMENSION(nzb:nzt+1) :: vsus
251	REAL, DIMENSION(:,:), POINTER :: vsws, vswst
252	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
253
254	!
255	!-- Compute horizontal diffusion
256	DO k = nzb_v_outer(j,i)+1, nzt
257	!
258	!-- Interpolate eddy diffusivities on staggered gridpoints
259	kmxp_x = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
260	kmxm_x = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
261	kmxp_y = kmxp_x
262	kmxm_y = kmxm_x
263	!
264	!-- Increase diffusion at the outflow boundary in case of non-cyclic
265	!-- lateral boundaries. Damping is only needed for velocity components
266	!-- parallel to the outflow boundary in the direction normal to the
267	!-- outflow boundary.
268	IF ( .NOT. bc_lr_cyc ) THEN
269	kmxp_x = MAX( kmxp_x, km_damp_x(i) )
270	kmxm_x = MAX( kmxm_x, km_damp_x(i) )
271	ENDIF
272
273	tend(k,j,i) = tend(k,j,i) &
274	& + ( kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
275	& + kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
276	& - kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
277	& - kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
278	& ) * ddx &
279	& + 2.0 * ( &
280	& km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
281	& - km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
282	& ) * ddy2
283	ENDDO
284
285	!
286	!-- Wall functions at the left and right walls, respectively
287	IF ( wall_v(j,i) /= 0.0 ) THEN
288
289	!
290	!-- Calculate the horizontal momentum flux v'u'
291	CALL wall_fluxes( i, j, nzb_v_inner(j,i)+1, nzb_v_outer(j,i), &
292	vsus, 0.0, 1.0, 0.0, 0.0 )
293
294	DO k = nzb_v_inner(j,i)+1, nzb_v_outer(j,i)
295	kmxp_x = 0.25 * &
296	( km(k,j,i)+km(k,j,i+1)+km(k,j-1,i)+km(k,j-1,i+1) )
297	kmxm_x = 0.25 * &
298	( km(k,j,i)+km(k,j,i-1)+km(k,j-1,i)+km(k,j-1,i-1) )
299	kmxp_y = kmxp_x
300	kmxm_y = kmxm_x
301	!
302	!-- Increase diffusion at the outflow boundary in case of
303	!-- non-cyclic lateral boundaries. Damping is only needed for
304	!-- velocity components parallel to the outflow boundary in
305	!-- the direction normal to the outflow boundary.
306	IF ( .NOT. bc_lr_cyc ) THEN
307	kmxp_x = MAX( kmxp_x, km_damp_x(i) )
308	kmxm_x = MAX( kmxm_x, km_damp_x(i) )
309	ENDIF
310
311	tend(k,j,i) = tend(k,j,i) &
312	+ 2.0 * ( &
313	km(k,j,i) * ( v(k,j+1,i) - v(k,j,i) ) &
314	- km(k,j-1,i) * ( v(k,j,i) - v(k,j-1,i) ) &
315	) * ddy2 &
316	+ ( fxp(j,i) * ( &
317	kmxp_x * ( v(k,j,i+1) - v(k,j,i) ) * ddx &
318	+ kmxp_y * ( u(k,j,i+1) - u(k,j-1,i+1) ) * ddy &
319	) &
320	- fxm(j,i) * ( &
321	kmxm_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
322	+ kmxm_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
323	) &
324	+ wall_v(j,i) * vsus(k) &
325	) * ddx
326	ENDDO
327	ENDIF
328
329	!
330	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
331	!-- index k starts at nzb_v_inner+2.
332	DO k = nzb_diff_v(j,i), nzt_diff
333	!
334	!-- Interpolate eddy diffusivities on staggered gridpoints
335	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
336	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
337
338	tend(k,j,i) = tend(k,j,i) &
339	& + ( kmzp * ( ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
340	& + ( w(k,j,i) - w(k,j-1,i) ) * ddy &
341	& ) &
342	& - kmzm * ( ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
343	& + ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
344	& ) &
345	& ) * ddzw(k)
346	ENDDO
347
348	!
349	!-- Vertical diffusion at the first grid point above the surface, if the
350	!-- momentum flux at the bottom is given by the Prandtl law or if it is
351	!-- prescribed by the user.
352	!-- Difference quotient of the momentum flux is not formed over half of
353	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
354	!-- other (LES) modell showed that the values of the momentum flux becomes
355	!-- too large in this case.
356	!-- The term containing w(k-1,..) (see above equation) is removed here
357	!-- because the vertical velocity is assumed to be zero at the surface.
358	IF ( use_surface_fluxes ) THEN
359	k = nzb_v_inner(j,i)+1
360	!
361	!-- Interpolate eddy diffusivities on staggered gridpoints
362	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
363	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
364
365	tend(k,j,i) = tend(k,j,i) &
366	& + ( kmzp * ( w(k,j,i) - w(k,j-1,i) ) * ddy &
367	& ) * ddzw(k) &
368	& + ( kmzp * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) &
369	& + vsws(j,i) &
370	& ) * ddzw(k)
371	ENDIF
372
373	!
374	!-- Vertical diffusion at the first gridpoint below the top boundary,
375	!-- if the momentum flux at the top is prescribed by the user
376	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
377	k = nzt
378	!
379	!-- Interpolate eddy diffusivities on staggered gridpoints
380	kmzp = 0.25 * &
381	( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) )
382	kmzm = 0.25 * &
383	( km(k,j,i)+km(k-1,j,i)+km(k,j-1,i)+km(k-1,j-1,i) )
384
385	tend(k,j,i) = tend(k,j,i) &
386	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j-1,i) ) * ddy &
387	& ) * ddzw(k) &
388	& + ( -vswst(j,i) &
389	& - kmzm * ( v(k,j,i) - v(k-1,j,i) ) * ddzu(k) &
390	& ) * ddzw(k)
391	ENDIF
392
393	END SUBROUTINE diffusion_v_ij
394
395	END MODULE diffusion_v_mod

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source: palm/trunk/SOURCE/diffusion_v.f90 @ 667

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