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

Last change on this file since 667 was 667, checked in by suehring, 13 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: 15.1 KB
Line 
1 MODULE diffusion_e_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_e.f90 667 2010-12-23 12:06:00Z suehring $
11!
12! 97 2007-06-21 08:23:15Z raasch
13! Adjustment of mixing length calculation for the ocean version. zw added to
14! argument list.
15! This is also a bugfix, because the height above the topography is now
16! used instead of the height above level k=0.
17! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference
18! use_pt_reference renamed use_reference
19!
20! 65 2007-03-13 12:11:43Z raasch
21! Reference temperature pt_reference can be used in buoyancy term
22!
23! 20 2007-02-26 00:12:32Z raasch
24! Bugfix: ddzw dimensioned 1:nzt"+1"
25! Calculation extended for gridpoint nzt
26!
27! RCS Log replace by Id keyword, revision history cleaned up
28!
29! Revision 1.18  2006/08/04 14:29:43  raasch
30! dissipation is stored in extra array diss if needed later on for calculating
31! the sgs particle velocities
32!
33! Revision 1.1  1997/09/19 07:40:24  raasch
34! Initial revision
35!
36!
37! Description:
38! ------------
39! Diffusion- and dissipation terms for the TKE
40!------------------------------------------------------------------------------!
41
42    PRIVATE
43    PUBLIC diffusion_e
44   
45
46    INTERFACE diffusion_e
47       MODULE PROCEDURE diffusion_e
48       MODULE PROCEDURE diffusion_e_ij
49    END INTERFACE diffusion_e
50 
51 CONTAINS
52
53
54!------------------------------------------------------------------------------!
55! Call for all grid points
56!------------------------------------------------------------------------------!
57    SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, var, &
58                            var_reference, rif, tend, zu, zw )
59
60       USE control_parameters
61       USE grid_variables
62       USE indices
63       USE particle_attributes
64
65       IMPLICIT NONE
66
67       INTEGER ::  i, j, k
68       REAL            ::  dvar_dz, l_stable, phi_m, var_reference
69       REAL            ::  ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), &
70                           l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1)
71       REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend
72       REAL, DIMENSION(:,:), POINTER   ::  rif
73       REAL, DIMENSION(:,:,:), POINTER ::  e, km, var
74       REAL, DIMENSION(nzb+1:nzt,nys:nyn) ::  dissipation, l, ll
75 
76
77!
78!--    This if clause must be outside the k-loop because otherwise
79!--    runtime errors occur with -C hopt on NEC
80       IF ( use_reference )  THEN
81
82          DO  i = nxl, nxr
83             DO  j = nys, nyn
84!
85!--             First, calculate phi-function for eventually adjusting the &
86!--             mixing length to the prandtl mixing length
87                IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
88                   IF ( rif(j,i) >= 0.0 )  THEN
89                      phi_m = 1.0 + 5.0 * rif(j,i)
90                   ELSE
91                      phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) )
92                   ENDIF
93                ENDIF
94
95                DO  k = nzb_s_inner(j,i)+1, nzt
96!
97!--                Calculate the mixing length (for dissipation)
98                   dvar_dz = atmos_ocean_sign * &
99                             ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
100                   IF ( dvar_dz > 0.0 ) THEN
101                      l_stable = 0.76 * SQRT( e(k,j,i) ) / &
102                                 SQRT( g / var_reference * dvar_dz ) + 1E-5
103                   ELSE
104                      l_stable = l_grid(k)
105                   ENDIF
106!
107!--                Adjustment of the mixing length
108                   IF ( wall_adjustment )  THEN
109                      l(k,j)  = MIN( wall_adjustment_factor *          &
110                                     ( zu(k) - zw(nzb_s_inner(j,i)) ), &
111                                     l_grid(k), l_stable )
112                      ll(k,j) = MIN( wall_adjustment_factor *          &
113                                     ( zu(k) - zw(nzb_s_inner(j,i)) ), &
114                                     l_grid(k) )
115                   ELSE
116                      l(k,j)  = MIN( l_grid(k), l_stable )
117                      ll(k,j) = l_grid(k)
118                   ENDIF
119                   IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
120                      l(k,j)  = MIN( l(k,j),  kappa *                          &
121                                              ( zu(k) - zw(nzb_s_inner(j,i)) ) &
122                                              / phi_m )
123                      ll(k,j) = MIN( ll(k,j), kappa *                          &
124                                              ( zu(k) - zw(nzb_s_inner(j,i)) ) &
125                                              / phi_m )
126                   ENDIF
127
128                ENDDO
129             ENDDO
130
131!
132!--          Calculate the tendency terms
133             DO  j = nys, nyn
134                DO  k = nzb_s_inner(j,i)+1, nzt
135
136                    dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * &
137                                       e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
138
139                    tend(k,j,i) = tend(k,j,i)                                  &
140                                        + (                                    &
141                          ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) )  &
142                        - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) )  &
143                                          ) * ddx2                             &
144                                        + (                                    &
145                          ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) )  &
146                        - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) )  &
147                                          ) * ddy2                             &
148                                        + (                                    &
149               ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
150             - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k)   &
151                                          ) * ddzw(k)                          &
152                             - dissipation(k,j)
153
154                ENDDO
155             ENDDO
156
157!
158!--          Store dissipation if needed for calculating the sgs particle
159!--          velocities
160             IF ( use_sgs_for_particles )  THEN
161                DO  j = nys, nyn
162                   DO  k = nzb_s_inner(j,i)+1, nzt
163                      diss(k,j,i) = dissipation(k,j)
164                   ENDDO
165                ENDDO
166             ENDIF
167
168          ENDDO
169
170       ELSE
171
172          DO  i = nxl, nxr
173             DO  j = nys, nyn
174!
175!--             First, calculate phi-function for eventually adjusting the &
176!--             mixing length to the prandtl mixing length
177                IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
178                   IF ( rif(j,i) >= 0.0 )  THEN
179                      phi_m = 1.0 + 5.0 * rif(j,i)
180                   ELSE
181                      phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) )
182                   ENDIF
183                ENDIF
184
185                DO  k = nzb_s_inner(j,i)+1, nzt
186!
187!--                Calculate the mixing length (for dissipation)
188                   dvar_dz = atmos_ocean_sign * &
189                             ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
190                   IF ( dvar_dz > 0.0 ) THEN
191                      l_stable = 0.76 * SQRT( e(k,j,i) ) / &
192                                        SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5
193                   ELSE
194                      l_stable = l_grid(k)
195                   ENDIF
196!
197!--                Adjustment of the mixing length
198                   IF ( wall_adjustment )  THEN
199                      l(k,j)  = MIN( wall_adjustment_factor *          &
200                                     ( zu(k) - zw(nzb_s_inner(j,i)) ), &
201                                     l_grid(k), l_stable )
202                      ll(k,j) = MIN( wall_adjustment_factor *          &
203                                     ( zu(k) - zw(nzb_s_inner(j,i)) ), &
204                                     l_grid(k) )
205                   ELSE
206                      l(k,j)  = MIN( l_grid(k), l_stable )
207                      ll(k,j) = l_grid(k)
208                   ENDIF
209                   IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
210                      l(k,j)  = MIN( l(k,j),  kappa *                          &
211                                              ( zu(k) - zw(nzb_s_inner(j,i)) ) &
212                                              / phi_m )
213                      ll(k,j) = MIN( ll(k,j), kappa *                          &
214                                              ( zu(k) - zw(nzb_s_inner(j,i)) ) &
215                                              / phi_m )
216                   ENDIF
217
218                ENDDO
219             ENDDO
220
221!
222!--          Calculate the tendency terms
223             DO  j = nys, nyn
224                DO  k = nzb_s_inner(j,i)+1, nzt
225
226                    dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * &
227                                       e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j)
228
229                    tend(k,j,i) = tend(k,j,i)                                  &
230                                        + (                                    &
231                          ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) )  &
232                        - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) )  &
233                                          ) * ddx2                             &
234                                        + (                                    &
235                          ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) )  &
236                        - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) )  &
237                                          ) * ddy2                             &
238                                        + (                                    &
239               ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
240             - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k)   &
241                                          ) * ddzw(k)                          &
242                             - dissipation(k,j)
243
244                ENDDO
245             ENDDO
246
247!
248!--          Store dissipation if needed for calculating the sgs particle
249!--          velocities
250             IF ( use_sgs_for_particles )  THEN
251                DO  j = nys, nyn
252                   DO  k = nzb_s_inner(j,i)+1, nzt
253                      diss(k,j,i) = dissipation(k,j)
254                   ENDDO
255                ENDDO
256             ENDIF
257
258          ENDDO
259
260       ENDIF
261
262!
263!--    Boundary condition for dissipation
264       IF ( use_sgs_for_particles )  THEN
265          DO  i = nxl, nxr
266             DO  j = nys, nyn
267                diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
268             ENDDO
269          ENDDO
270       ENDIF
271
272    END SUBROUTINE diffusion_e
273
274
275!------------------------------------------------------------------------------!
276! Call for grid point i,j
277!------------------------------------------------------------------------------!
278    SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, &
279                               var, var_reference, rif, tend, zu, zw )
280
281       USE control_parameters
282       USE grid_variables
283       USE indices
284       USE particle_attributes
285
286       IMPLICIT NONE
287
288       INTEGER         ::  i, j, k
289       REAL            ::  dvar_dz, l_stable, phi_m, var_reference
290       REAL            ::  ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), &
291                           l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1)
292       REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend
293       REAL, DIMENSION(:,:), POINTER   ::  rif
294       REAL, DIMENSION(:,:,:), POINTER ::  e, km, var
295       REAL, DIMENSION(nzb+1:nzt)    ::  dissipation, l, ll
296
297
298!
299!--    First, calculate phi-function for eventually adjusting the mixing length
300!--    to the prandtl mixing length
301       IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
302          IF ( rif(j,i) >= 0.0 )  THEN
303             phi_m = 1.0 + 5.0 * rif(j,i)
304          ELSE
305             phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) )
306          ENDIF
307       ENDIF
308
309!
310!--    Calculate the mixing length (for dissipation)
311       DO  k = nzb_s_inner(j,i)+1, nzt
312          dvar_dz = atmos_ocean_sign * &
313                    ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k)
314          IF ( dvar_dz > 0.0 ) THEN
315             IF ( use_reference )  THEN
316                l_stable = 0.76 * SQRT( e(k,j,i) ) / &
317                                  SQRT( g / var_reference * dvar_dz ) + 1E-5
318             ELSE
319                l_stable = 0.76 * SQRT( e(k,j,i) ) / &
320                                  SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5
321             ENDIF
322          ELSE
323             l_stable = l_grid(k)
324          ENDIF
325!
326!--       Adjustment of the mixing length
327          IF ( wall_adjustment )  THEN
328             l(k)  = MIN( wall_adjustment_factor *                     &
329                          ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), &
330                          l_stable )
331             ll(k) = MIN( wall_adjustment_factor *                     &
332                          ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) )
333          ELSE
334             l(k)  = MIN( l_grid(k), l_stable )
335             ll(k) = l_grid(k)
336          ENDIF
337          IF ( adjust_mixing_length  .AND.  prandtl_layer )  THEN
338             l(k)  = MIN( l(k),  kappa * &
339                                 ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m )
340             ll(k) = MIN( ll(k), kappa * &
341                                 ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m )
342          ENDIF
343
344!
345!--       Calculate the tendency term
346          dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * &
347                           SQRT( e(k,j,i) ) / l(k)
348
349          tend(k,j,i) = tend(k,j,i)                                           &
350                                       + (                                    &
351                         ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) )  &
352                       - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) )  &
353                                         ) * ddx2                             &
354                                       + (                                    &
355                         ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) )  &
356                       - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) )  &
357                                         ) * ddy2                             &
358                                       + (                                    &
359              ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) &
360            - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k)   &
361                                         ) * ddzw(k)                          &
362                                       - dissipation(k)
363
364       ENDDO
365
366!
367!--    Store dissipation if needed for calculating the sgs particle velocities
368       IF ( use_sgs_for_particles )  THEN
369          DO  k = nzb_s_inner(j,i)+1, nzt
370             diss(k,j,i) = dissipation(k)
371          ENDDO
372!
373!--       Boundary condition for dissipation
374          diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i)
375       ENDIF
376
377    END SUBROUTINE diffusion_e_ij
378
379 END MODULE diffusion_e_mod
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