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diffusion_u.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: 17.8 KB

Line
1	MODULE diffusion_u_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_u.f90 667 2010-12-23 12:06:00Z suehring $
11	!
12	! 366 2009-08-25 08:06:27Z raasch
13	! bc_ns replaced by bc_ns_cyc
14	!
15	! 106 2007-08-16 14:30:26Z raasch
16	! Momentumflux at top (uswst) included as boundary condition,
17	! i loop is starting from nxlu (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, uxrp 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 10:35:35 raasch
29	! nzb_2d replaced by nzb_u_outer in horizontal diffusion and by nzb_u_inner
30	! or nzb_diff_u, 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 06:23:51 raasch
37	! Initial revision
38	!
39	!
40	! Description:
41	! ------------
42	! Diffusion term of the u-component
43	! To do: additional damping (needed for non-cyclic bc) causes bad vectorization
44	! and slows down the speed on NEC about 5-10%
45	!------------------------------------------------------------------------------!
46
47	USE wall_fluxes_mod
48
49	PRIVATE
50	PUBLIC diffusion_u
51
52	INTERFACE diffusion_u
53	MODULE PROCEDURE diffusion_u
54	MODULE PROCEDURE diffusion_u_ij
55	END INTERFACE diffusion_u
56
57	CONTAINS
58
59
60	!------------------------------------------------------------------------------!
61	! Call for all grid points
62	!------------------------------------------------------------------------------!
63	SUBROUTINE diffusion_u( ddzu, ddzw, km, km_damp_y, tend, u, usws, uswst, &
64	v, w )
65
66	USE control_parameters
67	USE grid_variables
68	USE indices
69
70	IMPLICIT NONE
71
72	INTEGER :: i, j, k
73	REAL :: kmym_x, kmym_y, kmyp_x, kmyp_y, kmzm, kmzp
74	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_y(nysg:nyng)
75	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
76	REAL, DIMENSION(:,:), POINTER :: usws, uswst
77	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
78	REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs
79
80	!
81	!-- First calculate horizontal momentum flux u'v' at vertical walls,
82	!-- if neccessary
83	IF ( topography /= 'flat' ) THEN
84	CALL wall_fluxes( usvs, 1.0, 0.0, 0.0, 0.0, nzb_u_inner, &
85	nzb_u_outer, wall_u )
86	ENDIF
87
88	DO i = nxlu, nxr
89	DO j = nys,nyn
90	!
91	!-- Compute horizontal diffusion
92	DO k = nzb_u_outer(j,i)+1, nzt
93	!
94	!-- Interpolate eddy diffusivities on staggered gridpoints
95	kmyp_x = 0.25 * &
96	( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
97	kmym_x = 0.25 * &
98	( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
99	kmyp_y = kmyp_x
100	kmym_y = kmym_x
101	!
102	!-- Increase diffusion at the outflow boundary in case of
103	!-- non-cyclic lateral boundaries. Damping is only needed for
104	!-- velocity components parallel to the outflow boundary in
105	!-- the direction normal to the outflow boundary.
106	IF ( .NOT. bc_ns_cyc ) THEN
107	kmyp_y = MAX( kmyp_y, km_damp_y(j) )
108	kmym_y = MAX( kmym_y, km_damp_y(j) )
109	ENDIF
110
111	tend(k,j,i) = tend(k,j,i) &
112	& + 2.0 * ( &
113	& km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
114	& - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
115	& ) * ddx2 &
116	& + ( kmyp_y * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
117	& + kmyp_x * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
118	& - kmym_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
119	& - kmym_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
120	& ) * ddy
121	ENDDO
122
123	!
124	!-- Wall functions at the north and south walls, respectively
125	IF ( wall_u(j,i) /= 0.0 ) THEN
126
127	DO k = nzb_u_inner(j,i)+1, nzb_u_outer(j,i)
128	kmyp_x = 0.25 * &
129	( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
130	kmym_x = 0.25 * &
131	( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
132	kmyp_y = kmyp_x
133	kmym_y = kmym_x
134	!
135	!-- Increase diffusion at the outflow boundary in case of
136	!-- non-cyclic lateral boundaries. Damping is only needed for
137	!-- velocity components parallel to the outflow boundary in
138	!-- the direction normal to the outflow boundary.
139	IF ( .NOT. bc_ns_cyc ) THEN
140	kmyp_y = MAX( kmyp_y, km_damp_y(j) )
141	kmym_y = MAX( kmym_y, km_damp_y(j) )
142	ENDIF
143
144	tend(k,j,i) = tend(k,j,i) &
145	+ 2.0 * ( &
146	km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
147	- km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
148	) * ddx2 &
149	+ ( fyp(j,i) * ( &
150	kmyp_y * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
151	+ kmyp_x * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
152	) &
153	- fym(j,i) * ( &
154	kmym_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
155	+ kmym_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
156	) &
157	+ wall_u(j,i) * usvs(k,j,i) &
158	) * ddy
159	ENDDO
160	ENDIF
161
162	!
163	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
164	!-- index k starts at nzb_u_inner+2.
165	DO k = nzb_diff_u(j,i), nzt_diff
166	!
167	!-- Interpolate eddy diffusivities on staggered gridpoints
168	kmzp = 0.25 * &
169	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
170	kmzm = 0.25 * &
171	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
172
173	tend(k,j,i) = tend(k,j,i) &
174	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
175	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
176	& ) &
177	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
178	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
179	& ) &
180	& ) * ddzw(k)
181	ENDDO
182
183	!
184	!-- Vertical diffusion at the first grid point above the surface,
185	!-- if the momentum flux at the bottom is given by the Prandtl law or
186	!-- if it is prescribed by the user.
187	!-- Difference quotient of the momentum flux is not formed over half
188	!-- of the grid spacing (2.0*ddzw(k)) any more, since the comparison
189	!-- with other (LES) modell showed that the values of the momentum
190	!-- flux becomes too large in this case.
191	!-- The term containing w(k-1,..) (see above equation) is removed here
192	!-- because the vertical velocity is assumed to be zero at the surface.
193	IF ( use_surface_fluxes ) THEN
194	k = nzb_u_inner(j,i)+1
195	!
196	!-- Interpolate eddy diffusivities on staggered gridpoints
197	kmzp = 0.25 * &
198	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
199	kmzm = 0.25 * &
200	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
201
202	tend(k,j,i) = tend(k,j,i) &
203	& + ( kmzp * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
204	& ) * ddzw(k) &
205	& + ( kmzp * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
206	& + usws(j,i) &
207	& ) * ddzw(k)
208	ENDIF
209
210	!
211	!-- Vertical diffusion at the first gridpoint below the top boundary,
212	!-- if the momentum flux at the top is prescribed by the user
213	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
214	k = nzt
215	!
216	!-- Interpolate eddy diffusivities on staggered gridpoints
217	kmzp = 0.25 * &
218	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
219	kmzm = 0.25 * &
220	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
221
222	tend(k,j,i) = tend(k,j,i) &
223	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
224	& ) * ddzw(k) &
225	& + ( -uswst(j,i) &
226	& - kmzm * ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
227	& ) * ddzw(k)
228	ENDIF
229
230	ENDDO
231	ENDDO
232
233	END SUBROUTINE diffusion_u
234
235
236	!------------------------------------------------------------------------------!
237	! Call for grid point i,j
238	!------------------------------------------------------------------------------!
239	SUBROUTINE diffusion_u_ij( i, j, ddzu, ddzw, km, km_damp_y, tend, u, usws, &
240	uswst, v, w )
241
242	USE control_parameters
243	USE grid_variables
244	USE indices
245
246	IMPLICIT NONE
247
248	INTEGER :: i, j, k
249	REAL :: kmym_x, kmym_y, kmyp_x, kmyp_y, kmzm, kmzp
250	REAL :: ddzu(1:nzt+1), ddzw(1:nzt+1), km_damp_y(nysg:nyng)
251	REAL :: tend(nzb:nzt+1,nysg:nyng,nxlg:nxrg)
252	REAL, DIMENSION(nzb:nzt+1) :: usvs
253	REAL, DIMENSION(:,:), POINTER :: usws, uswst
254	REAL, DIMENSION(:,:,:), POINTER :: km, u, v, w
255
256	!
257	!-- Compute horizontal diffusion
258	DO k = nzb_u_outer(j,i)+1, nzt
259	!
260	!-- Interpolate eddy diffusivities on staggered gridpoints
261	kmyp_x = 0.25 * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
262	kmym_x = 0.25 * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
263	kmyp_y = kmyp_x
264	kmym_y = kmym_x
265
266	!
267	!-- Increase diffusion at the outflow boundary in case of non-cyclic
268	!-- lateral boundaries. Damping is only needed for velocity components
269	!-- parallel to the outflow boundary in the direction normal to the
270	!-- outflow boundary.
271	IF ( .NOT. bc_ns_cyc ) THEN
272	kmyp_y = MAX( kmyp_y, km_damp_y(j) )
273	kmym_y = MAX( kmym_y, km_damp_y(j) )
274	ENDIF
275
276	tend(k,j,i) = tend(k,j,i) &
277	& + 2.0 * ( &
278	& km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
279	& - km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
280	& ) * ddx2 &
281	& + ( kmyp_y * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
282	& + kmyp_x * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
283	& - kmym_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
284	& - kmym_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
285	& ) * ddy
286	ENDDO
287
288	!
289	!-- Wall functions at the north and south walls, respectively
290	IF ( wall_u(j,i) .NE. 0.0 ) THEN
291
292	!
293	!-- Calculate the horizontal momentum flux u'v'
294	CALL wall_fluxes( i, j, nzb_u_inner(j,i)+1, nzb_u_outer(j,i), &
295	usvs, 1.0, 0.0, 0.0, 0.0 )
296
297	DO k = nzb_u_inner(j,i)+1, nzb_u_outer(j,i)
298	kmyp_x = 0.25 * ( km(k,j,i)+km(k,j+1,i)+km(k,j,i-1)+km(k,j+1,i-1) )
299	kmym_x = 0.25 * ( km(k,j,i)+km(k,j-1,i)+km(k,j,i-1)+km(k,j-1,i-1) )
300	kmyp_y = kmyp_x
301	kmym_y = kmym_x
302	!
303	!-- Increase diffusion at the outflow boundary in case of
304	!-- non-cyclic lateral boundaries. Damping is only needed for
305	!-- velocity components parallel to the outflow boundary in
306	!-- the direction normal to the outflow boundary.
307	IF ( .NOT. bc_ns_cyc ) THEN
308	kmyp_y = MAX( kmyp_y, km_damp_y(j) )
309	kmym_y = MAX( kmym_y, km_damp_y(j) )
310	ENDIF
311
312	tend(k,j,i) = tend(k,j,i) &
313	+ 2.0 * ( &
314	km(k,j,i) * ( u(k,j,i+1) - u(k,j,i) ) &
315	- km(k,j,i-1) * ( u(k,j,i) - u(k,j,i-1) ) &
316	) * ddx2 &
317	+ ( fyp(j,i) * ( &
318	kmyp_y * ( u(k,j+1,i) - u(k,j,i) ) * ddy &
319	+ kmyp_x * ( v(k,j+1,i) - v(k,j+1,i-1) ) * ddx &
320	) &
321	- fym(j,i) * ( &
322	kmym_y * ( u(k,j,i) - u(k,j-1,i) ) * ddy &
323	+ kmym_x * ( v(k,j,i) - v(k,j,i-1) ) * ddx &
324	) &
325	+ wall_u(j,i) * usvs(k) &
326	) * ddy
327	ENDDO
328	ENDIF
329
330	!
331	!-- Compute vertical diffusion. In case of simulating a Prandtl layer,
332	!-- index k starts at nzb_u_inner+2.
333	DO k = nzb_diff_u(j,i), nzt_diff
334	!
335	!-- Interpolate eddy diffusivities on staggered gridpoints
336	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
337	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
338
339	tend(k,j,i) = tend(k,j,i) &
340	& + ( kmzp * ( ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
341	& + ( w(k,j,i) - w(k,j,i-1) ) * ddx &
342	& ) &
343	& - kmzm * ( ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
344	& + ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
345	& ) &
346	& ) * ddzw(k)
347	ENDDO
348
349	!
350	!-- Vertical diffusion at the first grid point above the surface, if the
351	!-- momentum flux at the bottom is given by the Prandtl law or if it is
352	!-- prescribed by the user.
353	!-- Difference quotient of the momentum flux is not formed over half of
354	!-- the grid spacing (2.0*ddzw(k)) any more, since the comparison with
355	!-- other (LES) modell showed that the values of the momentum flux becomes
356	!-- too large in this case.
357	!-- The term containing w(k-1,..) (see above equation) is removed here
358	!-- because the vertical velocity is assumed to be zero at the surface.
359	IF ( use_surface_fluxes ) THEN
360	k = nzb_u_inner(j,i)+1
361	!
362	!-- Interpolate eddy diffusivities on staggered gridpoints
363	kmzp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
364	kmzm = 0.25 * ( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
365
366	tend(k,j,i) = tend(k,j,i) &
367	& + ( kmzp * ( w(k,j,i) - w(k,j,i-1) ) * ddx &
368	& ) * ddzw(k) &
369	& + ( kmzp * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) &
370	& + usws(j,i) &
371	& ) * ddzw(k)
372	ENDIF
373
374	!
375	!-- Vertical diffusion at the first gridpoint below the top boundary,
376	!-- if the momentum flux at the top is prescribed by the user
377	IF ( use_top_fluxes .AND. constant_top_momentumflux ) THEN
378	k = nzt
379	!
380	!-- Interpolate eddy diffusivities on staggered gridpoints
381	kmzp = 0.25 * &
382	( km(k,j,i)+km(k+1,j,i)+km(k,j,i-1)+km(k+1,j,i-1) )
383	kmzm = 0.25 * &
384	( km(k,j,i)+km(k-1,j,i)+km(k,j,i-1)+km(k-1,j,i-1) )
385
386	tend(k,j,i) = tend(k,j,i) &
387	& - ( kmzm * ( w(k-1,j,i) - w(k-1,j,i-1) ) * ddx &
388	& ) * ddzw(k) &
389	& + ( -uswst(j,i) &
390	& - kmzm * ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k) &
391	& ) * ddzw(k)
392	ENDIF
393
394	END SUBROUTINE diffusion_u_ij
395
396	END MODULE diffusion_u_mod

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

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