!> @file init_grid.f90 !------------------------------------------------------------------------------! ! This file is part of the PALM model system. ! ! PALM is free software: you can redistribute it and/or modify it under the ! terms of the GNU General Public License as published by the Free Software ! Foundation, either version 3 of the License, or (at your option) any later ! version. ! ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License along with ! PALM. If not, see . ! ! Copyright 1997-2019 Leibniz Universitaet Hannover !------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: init_grid.f90 3927 2019-04-23 13:24:29Z hellstea $ ! Fix bad commit ! ! 3926 2019-04-23 12:56:42Z suehring ! Minor bugfix in building mapping when all building IDs in the model domain ! are missing ! ! 3857 2019-04-03 13:00:16Z knoop ! In projection of non-building 3D objects onto numerical grid remove ! dependency on building_type ! ! 3763 2019-02-25 17:33:49Z suehring ! Replace work-around for ghost point exchange of 1-byte arrays with specific ! routine as already done in other routines ! ! 3761 2019-02-25 15:31:42Z raasch ! unused variables removed ! ! 3661 2019-01-08 18:22:50Z suehring ! Remove setting of nzb_max to nzt at non-cyclic boundary PEs, instead, ! order degradation of advection scheme is handeled directly in advec_ws ! ! 3655 2019-01-07 16:51:22Z knoop ! Comment added ! ! 3294 2018-10-01 02:37:10Z raasch ! ocean renamed ocean_mode ! ! 3241 2018-09-12 15:02:00Z raasch ! unused variables removed ! ! 3200 2018-08-17 14:46:36Z suehring ! Bugfix, missing pre-processor directive ! ! 3183 2018-07-27 14:25:55Z suehring ! Rename variables in mesoscale-offline nesting mode ! ! 3182 2018-07-27 13:36:03Z suehring ! Bugfix in referencing buildings on orography top ! ! 3139 2018-07-17 11:30:10Z Giersch ! Bugfix in case of restarts and grid stretching ! ! 3115 2018-07-10 12:49:26Z suehring ! Referencing of buildings onto top of terrain - special treatment for bridges. ! ! 3103 2018-07-04 17:30:52Z suehring ! Reference lowest terrain height to zero level ! ! 3068 2018-06-12 14:49:41Z Giersch ! New warning message concerning grid stretching has been introduced ! ! 3066 2018-06-12 08:55:55Z Giersch ! Bugfix in IF statement before error message ! ! 3065 2018-06-12 07:03:02Z Giersch ! New vertical stretching mechanism introduced ! ! 3051 2018-05-30 17:43:55Z suehring ! Minor bugfix concerning mapping 3D buildings on top of terrain ! ! 3045 2018-05-28 07:55:41Z Giersch ! Error messages revised ! ! 3045 2018-05-28 07:55:41Z Giersch ! Error messages revised ! ! 2968 2018-04-13 11:52:24Z suehring ! Bugfix in initialization in case of elevated model surface. Introduce ! index for minimum topography-top. ! ! 2955 2018-04-09 15:14:01Z suehring ! Improve topography filter routine and add ghost-point exchange for building ! ID and building type. ! ! 2927 2018-03-23 15:13:00Z suehring ! Bugfix, setting boundary conditions for topography index array. ! ! 2918 2018-03-21 15:52:14Z gronemeier ! Moved init_mixing_length to turbulence_closure_mod.f90 ! ! 2897 2018-03-15 11:47:16Z suehring ! Relax restrictions for topography input, terrain and building heights can be ! input separately and are not mandatory any more. ! ! 2893 2018-03-14 16:20:52Z suehring ! Revise informative message concerning filtered topography (1 grid-point ! holes). ! ! 2892 2018-03-14 15:06:29Z suehring ! Bugfix, uninitialized array in case of single_building. ! ! 2867 2018-03-09 09:40:23Z suehring ! Revise mapping of 3D buildings onto onto orography. ! ! 2823 2018-02-20 15:31:45Z Giersch ! Set boundary conditions for 3D topography in case of non-cyclic boundary ! conditions ! ! 2796 2018-02-08 12:25:39Z suehring ! Bugfix in 3D building initialization ! ! 2747 2018-01-15 12:44:17Z suehring ! Bugfix, topography height is rounded to the nearest discrete grid level ! ! 2718 2018-01-02 08:49:38Z maronga ! Corrected "Former revisions" section ! ! 2701 2017-12-15 15:40:50Z suehring ! Changes from last commit documented ! ! 2698 2017-12-14 18:46:24Z suehring ! Bugfix in get_topography_top_index ! ! 2696 2017-12-14 17:12:51Z kanani ! Change in file header (GPL part) ! Revised topography input ! Set nzb_max not for the entire nest domain, only for boundary PEs ! Re-organize routine, split-up into several subroutines ! Modularize poismg_noopt ! Remove setting bit 26, 27, 28 in wall_flags_0, indicating former '_outer' ! arrays (not required any more). ! Bugfix in generic tunnel setup (MS) ! ! 2550 2017-10-16 17:12:01Z boeske ! Set lateral boundary conditions for topography on all three ghost layers ! ! 2478 2017-09-18 13:37:24Z suehring ! Bugfix, correct flag for use_top ! ! 2365 2017-08-21 14:59:59Z kanani ! Vertical nesting implemented (SadiqHuq) ! ! 2319 2017-07-20 17:33:17Z suehring ! Remove print statements ! ! 2318 2017-07-20 17:27:44Z suehring ! Get topography top index via Function call ! ! 2317 2017-07-20 17:27:19Z suehring ! Bugfixes in reading 3D topography from file ! ! 2274 2017-06-09 13:27:48Z Giersch ! Changed error messages ! ! 2233 2017-05-30 18:08:54Z suehring ! ! 2232 2017-05-30 17:47:52Z suehring ! - Adjustments according to new topography representation ! - Bugfix: Move determination of nzb_max behind topography modification in ! cell-edge case ! - Get rid off global arrays required for topography output ! - Enable topography input via netcdf ! - Generic tunnel set-up added ! ! 2200 2017-04-11 11:37:51Z suehring ! monotonic_adjustment removed ! ! 2169 2017-03-06 18:16:35Z suehring ! Bugfix, move setting for topography grid convention to init_grid, else, if no ! value is set, the simulation may abort in case of restarts ! ! 2128 2017-01-23 15:00:03Z suehring ! Bugfix in setting topography from file in case of ocean simulations ! ! 2088 2016-12-19 16:30:25Z suehring ! Bugfix in generic topography in case of ocean simulations ! ! 2037 2016-10-26 11:15:40Z knoop ! Anelastic approximation implemented ! ! 2021 2016-10-07 14:08:57Z suehring ! Bugfix: setting Neumann boundary conditions for topography required for ! topography flags in multigrid_noopt solver ! ! 2000 2016-08-20 18:09:15Z knoop ! Forced header and separation lines into 80 columns ! ! 1994 2016-08-15 09:52:21Z suehring ! Bugfix in definition of generic topography ! ! 1982 2016-08-01 11:04:48Z suehring ! Bugfix concering consistency check for topography ! ! 1968 2016-07-18 12:01:49Z suehring ! Changed: PE-wise reading of topography file in order to avoid global definition ! of arrays nzb_local and nzb_tmp. Thereby, topography definition for single ! buildings and street canyons has changed, as well as flag setting for ! multigrid scheme. ! ! Bugfix in checking l_grid anisotropy. ! Simplify initial computation of lwall and vertical_influence, i.e. remove ! nzb_s_inner as it is still zero at this point. ! ! 1942 2016-06-14 12:18:18Z suehring ! Topography filter implemented to fill holes resolved by only one grid point. ! Initialization of flags for ws-scheme moved to advec_ws. ! ! 1931 2016-06-10 12:06:59Z suehring ! Rename multigrid into multigrid_noopt and multigrid_fast into multigrid ! ! 1910 2016-05-26 06:49:46Z raasch ! Bugfix: if topography is read from file, Neumann conditions are used for the ! nzb_local array (instead of cyclic conditions) in case that non-cyclic ! boundary conditions are switched on for the run ! ! 1902 2016-05-09 11:18:56Z suehring ! Set topography flags for multigrid solver only (not for multigrid_fast) ! ! 1886 2016-04-21 11:20:47Z suehring ! Bugfix: setting advection flags near walls ! reformulated index values for nzb_v_inner ! variable discriptions added in declaration block ! ! 1845 2016-04-08 08:29:13Z raasch ! nzb_2d removed ! ! 1804 2016-04-05 16:30:18Z maronga ! Removed code for parameter file check (__check) ! ! 1779 2016-03-03 08:01:28Z raasch ! coupling_char is trimmed at every place it occurs, because it can have ! different length now ! ! 1762 2016-02-25 12:31:13Z hellstea ! Introduction of nested domain feature ! ! 1743 2016-01-13 10:23:51Z raasch ! Bugfix for calculation of nzb_s_outer and nzb_u_outer at north boundary of ! total domain ! ! 1691 2015-10-26 16:17:44Z maronga ! Renamed prandtl_layer to constant_flux_layer. ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1677 2015-10-02 13:25:23Z boeske ! Bugfix: Ghost points are included in wall_flags_0 and wall_flags_00 ! ! 1675 2015-10-02 08:28:59Z gronemeier ! Bugfix: Definition of topography grid levels ! ! 1660 2015-09-21 08:15:16Z gronemeier ! Bugfix: Definition of topography grid levels if vertical grid stretching ! starts below the maximum topography height. ! ! 1580 2015-04-10 13:43:49Z suehring ! Bugfix: setting flags for 5th order scheme near buildings ! ! 1575 2015-03-27 09:56:27Z raasch ! adjustments for psolver-queries ! ! 1557 2015-03-05 16:43:04Z suehring ! Adjustment for monotoinic limiter ! ! 1418 2014-06-06 13:05:08Z fricke ! Bugfix: Change if-condition for stretched grid in the ocean, with the old ! condition and a negative value for dz_stretch_level the condition ! was always true for the whole model domain ! ! 1409 2014-05-23 12:11:32Z suehring ! Bugfix: set wall_flags_0 at inflow and outflow boundary also for i <= nxlu ! j <= nysv ! ! 1353 2014-04-08 15:21:23Z heinze ! REAL constants provided with KIND-attribute ! ! 1322 2014-03-20 16:38:49Z raasch ! REAL constants defined as wp-kind ! ! 1320 2014-03-20 08:40:49Z raasch ! ONLY-attribute added to USE-statements, ! kind-parameters added to all INTEGER and REAL declaration statements, ! kinds are defined in new module kinds, ! revision history before 2012 removed, ! comment fields (!:) to be used for variable explanations added to ! all variable declaration statements ! ! 1221 2013-09-10 08:59:13Z raasch ! wall_flags_00 introduced to hold bits 32-63, ! additional 3D-flag arrays for replacing the 2D-index array nzb_s_inner in ! loops optimized for openACC (pres + flow_statistics) ! ! 1092 2013-02-02 11:24:22Z raasch ! unused variables removed ! ! 1069 2012-11-28 16:18:43Z maronga ! bugfix: added coupling_char to TOPOGRAPHY_DATA to allow topography in the ! ocean model in case of coupled runs ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 1015 2012-09-27 09:23:24Z raasch ! lower index for calculating wall_flags_0 set to nzb_w_inner instead of ! nzb_w_inner+1 ! ! 996 2012-09-07 10:41:47Z raasch ! little reformatting ! ! 978 2012-08-09 08:28:32Z fricke ! Bugfix: nzb_max is set to nzt at non-cyclic lateral boundaries ! Bugfix: Set wall_flags_0 for inflow boundary ! ! 927 2012-06-06 19:15:04Z raasch ! Wall flags are not set for multigrid method in case of masking method ! ! 864 2012-03-27 15:10:33Z gryschka ! In case of ocean and Dirichlet bottom bc for u and v dzu_mg and ddzu_pres ! were not correctly defined for k=1. ! ! 861 2012-03-26 14:18:34Z suehring ! Set wall_flags_0. The array is needed for degradation in ws-scheme near walls, ! inflow and outflow boundaries as well as near the bottom and the top of the ! model domain.! ! Initialization of nzb_s_inner and nzb_w_inner. ! gls has to be at least nbgp to do not exceed the array bounds of nzb_local ! while setting wall_flags_0 ! ! 843 2012-02-29 15:16:21Z gryschka ! In case of ocean and dirichlet bc for u and v at the bottom ! the first u-level ist defined at same height as the first w-level ! ! 818 2012-02-08 16:11:23Z maronga ! Bugfix: topo_height is only required if topography is used. It is thus now ! allocated in the topography branch ! ! 809 2012-01-30 13:32:58Z maronga ! Bugfix: replaced .AND. and .NOT. with && and ! in the preprocessor directives ! ! 807 2012-01-25 11:53:51Z maronga ! New cpp directive "__check" implemented which is used by check_namelist_files ! ! Revision 1.1 1997/08/11 06:17:45 raasch ! Initial revision (Testversion) ! ! ! Description: ! -----------------------------------------------------------------------------! !> Creating grid depending constants !> @todo: Rearrange topo flag list !> @todo: reference 3D buildings on top of orography is not tested and may need !> further improvement for steep slopes !> @todo: Use more advanced setting of building type at filled holes !------------------------------------------------------------------------------! SUBROUTINE init_grid USE advec_ws, & ONLY: ws_init_flags USE arrays_3d, & ONLY: dd2zu, ddzu, ddzu_pres, ddzw, dzu, dzw, x, xu, y, yv, zu, zw USE control_parameters, & ONLY: bc_lr_cyc, bc_ns_cyc, & constant_flux_layer, dz, dz_max, dz_stretch_factor, & dz_stretch_factor_array, dz_stretch_level, dz_stretch_level_end,& dz_stretch_level_end_index, dz_stretch_level_start_index, & dz_stretch_level_start, ibc_uv_b, message_string, & momentum_advec, number_stretch_level_end, & number_stretch_level_start, ocean_mode, psolver, scalar_advec, & topography, use_surface_fluxes USE grid_variables, & ONLY: ddx, ddx2, ddy, ddy2, dx, dx2, dy, dy2, zu_s_inner, zw_w_inner USE indices, & ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, & nzb, nzb_diff, nzb_diff_s_inner, nzb_diff_s_outer, & nzb_max, nzb_s_inner, nzb_s_outer, nzb_u_inner, & nzb_u_outer, nzb_v_inner, nzb_v_outer, nzb_w_inner, & nzb_w_outer, nzt, topo_min_level USE kinds USE pegrid USE poismg_noopt_mod USE surface_mod, & ONLY: get_topography_top_index, get_topography_top_index_ji, init_bc USE vertical_nesting_mod, & ONLY: vnested, vnest_init_grid IMPLICIT NONE INTEGER(iwp) :: i !< index variable along x INTEGER(iwp) :: j !< index variable along y INTEGER(iwp) :: k !< index variable along z INTEGER(iwp) :: k_top !< topography top index on local PE INTEGER(iwp) :: n !< loop variable for stretching INTEGER(iwp) :: number_dz !< number of user-specified dz values INTEGER(iwp) :: nzb_local_max !< vertical grid index of maximum topography height INTEGER(iwp) :: nzb_local_min !< vertical grid index of minimum topography height INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_tmp !< dummy to calculate topography indices on u- and v-grid INTEGER(iwp), DIMENSION(:,:,:), ALLOCATABLE :: topo !< input array for 3D topography and dummy array for setting "outer"-flags REAL(wp) :: dz_level_end !< distance between calculated height level for u/v-grid and user-specified end level for stretching REAL(wp) :: dz_stretched !< stretched vertical grid spacing REAL(wp), DIMENSION(:), ALLOCATABLE :: min_dz_stretch_level_end !< Array that contains all minimum heights where the stretching can end ! !-- Calculation of horizontal array bounds including ghost layers nxlg = nxl - nbgp nxrg = nxr + nbgp nysg = nys - nbgp nyng = nyn + nbgp ! !-- Allocate grid arrays ALLOCATE( x(0:nx), xu(0:nx) ) DO i = 0, nx xu(i) = i * dx x(i) = i * dx + 0.5_wp * dx ENDDO ALLOCATE( y(0:ny), yv(0:ny) ) DO j = 0, ny yv(j) = j * dy y(j) = j * dy + 0.5_wp * dy ENDDO ! !-- Allocate grid arrays ALLOCATE( ddzu(1:nzt+1), ddzw(1:nzt+1), dd2zu(1:nzt), dzu(1:nzt+1), & dzw(1:nzt+1), zu(nzb:nzt+1), zw(nzb:nzt+1) ) ! !-- Compute height of u-levels from constant grid length and dz stretch factors IF ( dz(1) == -1.0_wp ) THEN message_string = 'missing dz' CALL message( 'init_grid', 'PA0200', 1, 2, 0, 6, 0 ) ELSEIF ( dz(1) <= 0.0_wp ) THEN WRITE( message_string, * ) 'dz=',dz(1),' <= 0.0' CALL message( 'init_grid', 'PA0201', 1, 2, 0, 6, 0 ) ENDIF ! !-- Initialize dz_stretch_level_start with the value of dz_stretch_level !-- if it was set by the user IF ( dz_stretch_level /= -9999999.9_wp ) THEN dz_stretch_level_start(1) = dz_stretch_level ENDIF ! !-- Determine number of dz values and stretching levels specified by the !-- user to allow right controlling of the stretching mechanism and to !-- perform error checks. The additional requirement that dz /= dz_max !-- for counting number of user-specified dz values is necessary. Otherwise !-- restarts would abort if the old stretching mechanism with dz_stretch_level !-- is used (Attention: The user is not allowed to specify a dz value equal !-- to the default of dz_max = 999.0). number_dz = COUNT( dz /= -1.0_wp .AND. dz /= dz_max) number_stretch_level_start = COUNT( dz_stretch_level_start /= & -9999999.9_wp ) number_stretch_level_end = COUNT( dz_stretch_level_end /= & 9999999.9_wp ) ! !-- The number of specified end levels +1 has to be the same than the number !-- of specified dz values IF ( number_dz /= number_stretch_level_end + 1 ) THEN WRITE( message_string, * ) 'The number of values for dz = ', & number_dz, 'has to be the same than& ', & 'the number of values for ', & 'dz_stretch_level_end + 1 = ', & number_stretch_level_end+1 CALL message( 'init_grid', 'PA0156', 1, 2, 0, 6, 0 ) ENDIF ! !-- The number of specified start levels has to be the same or one less than !-- the number of specified dz values IF ( number_dz /= number_stretch_level_start + 1 .AND. & number_dz /= number_stretch_level_start ) THEN WRITE( message_string, * ) 'The number of values for dz = ', & number_dz, 'has to be the same or one ', & 'more than& the number of values for ', & 'dz_stretch_level_start = ', & number_stretch_level_start CALL message( 'init_grid', 'PA0211', 1, 2, 0, 6, 0 ) ENDIF !-- The number of specified start levels has to be the same or one more than !-- the number of specified end levels IF ( number_stretch_level_start /= number_stretch_level_end + 1 .AND. & number_stretch_level_start /= number_stretch_level_end ) THEN WRITE( message_string, * ) 'The number of values for ', & 'dz_stretch_level_start = ', & dz_stretch_level_start, 'has to be the ',& 'same or one more than& the number of ', & 'values for dz_stretch_level_end = ', & number_stretch_level_end CALL message( 'init_grid', 'PA0216', 1, 2, 0, 6, 0 ) ENDIF ! !-- Initialize dz for the free atmosphere with the value of dz_max IF ( dz(number_stretch_level_start+1) == -1.0_wp .AND. & number_stretch_level_start /= 0 ) THEN dz(number_stretch_level_start+1) = dz_max ENDIF ! !-- Initialize the stretching factor if (infinitely) stretching in the free !-- atmosphere is desired (dz_stretch_level_end was not specified for the !-- free atmosphere) IF ( number_stretch_level_start == number_stretch_level_end + 1 ) THEN dz_stretch_factor_array(number_stretch_level_start) = & dz_stretch_factor ENDIF ! !-- Allocation of arrays for stretching ALLOCATE( min_dz_stretch_level_end(number_stretch_level_start) ) ! !-- Define the vertical grid levels IF ( .NOT. ocean_mode ) THEN ! !-- The stretching region has to be large enough to allow for a smooth !-- transition between two different grid spacings DO n = 1, number_stretch_level_start min_dz_stretch_level_end(n) = dz_stretch_level_start(n) + & 4 * MAX( dz(n),dz(n+1) ) ENDDO IF ( ANY( min_dz_stretch_level_end(1:number_stretch_level_start) > & dz_stretch_level_end(1:number_stretch_level_start) ) ) THEN message_string= 'Eeach dz_stretch_level_end has to be larger ' // & 'than its corresponding value for &' // & 'dz_stretch_level_start + 4*MAX(dz(n),dz(n+1)) '//& 'to allow for smooth grid stretching' CALL message( 'init_grid', 'PA0224', 1, 2, 0, 6, 0 ) ENDIF ! !-- Stretching must not be applied within the prandtl_layer !-- (first two grid points). For the default case dz_stretch_level_start !-- is negative. Therefore the absolut value is checked here. IF ( ANY( ABS( dz_stretch_level_start ) < dz(1) * 1.5_wp ) ) THEN WRITE( message_string, * ) 'Eeach dz_stretch_level_start has to be ',& 'larger than ', dz(1) * 1.5 CALL message( 'init_grid', 'PA0226', 1, 2, 0, 6, 0 ) ENDIF ! !-- The stretching has to start and end on a grid level. Therefore !-- user-specified values have to ''interpolate'' to the next lowest level IF ( number_stretch_level_start /= 0 ) THEN dz_stretch_level_start(1) = INT( (dz_stretch_level_start(1) - & dz(1)/2.0) / dz(1) ) & * dz(1) + dz(1)/2.0 ENDIF IF ( number_stretch_level_start > 1 ) THEN DO n = 2, number_stretch_level_start dz_stretch_level_start(n) = INT( dz_stretch_level_start(n) / & dz(n) ) * dz(n) ENDDO ENDIF IF ( number_stretch_level_end /= 0 ) THEN DO n = 1, number_stretch_level_end dz_stretch_level_end(n) = INT( dz_stretch_level_end(n) / & dz(n+1) ) * dz(n+1) ENDDO ENDIF ! !-- Determine stretching factor if necessary IF ( number_stretch_level_end >= 1 ) THEN CALL calculate_stretching_factor( number_stretch_level_end ) ENDIF ! !-- Grid for atmosphere with surface at z=0 (k=0, w-grid). !-- First compute the u- and v-levels. In case of dirichlet bc for u and v !-- the first u/v- and w-level (k=0) are defined at same height (z=0). !-- The second u-level (k=1) corresponds to the top of the !-- Prandtl-layer. IF ( ibc_uv_b == 0 .OR. ibc_uv_b == 2 ) THEN zu(0) = 0.0_wp ELSE zu(0) = - dz(1) * 0.5_wp ENDIF zu(1) = dz(1) * 0.5_wp ! !-- Determine u and v height levels considering the possibility of grid !-- stretching in several heights. n = 1 dz_stretch_level_start_index = nzt+1 dz_stretch_level_end_index = nzt+1 dz_stretched = dz(1) !-- The default value of dz_stretch_level_start is negative, thus the first !-- condition is always true. Hence, the second condition is necessary. DO k = 2, nzt+1 IF ( dz_stretch_level_start(n) <= zu(k-1) .AND. & dz_stretch_level_start(n) /= -9999999.9_wp ) THEN dz_stretched = dz_stretched * dz_stretch_factor_array(n) IF ( dz(n) > dz(n+1) ) THEN dz_stretched = MAX( dz_stretched, dz(n+1) ) !Restrict dz_stretched to the user-specified (higher) dz ELSE dz_stretched = MIN( dz_stretched, dz(n+1) ) !Restrict dz_stretched to the user-specified (lower) dz ENDIF IF ( dz_stretch_level_start_index(n) == nzt+1 ) & dz_stretch_level_start_index(n) = k-1 ENDIF zu(k) = zu(k-1) + dz_stretched ! !-- Make sure that the stretching ends exactly at dz_stretch_level_end dz_level_end = ABS( zu(k) - dz_stretch_level_end(n) ) IF ( dz_level_end < dz(n+1)/3.0 ) THEN zu(k) = dz_stretch_level_end(n) dz_stretched = dz(n+1) dz_stretch_level_end_index(n) = k n = n + 1 ENDIF ENDDO ! !-- Compute the w-levels. They are always staggered half-way between the !-- corresponding u-levels. In case of dirichlet bc for u and v at the !-- ground the first u- and w-level (k=0) are defined at same height (z=0). !-- The top w-level is extrapolated linearly. zw(0) = 0.0_wp DO k = 1, nzt zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp ENDDO zw(nzt+1) = zw(nzt) + 2.0_wp * ( zu(nzt+1) - zw(nzt) ) ELSE ! !-- The stretching region has to be large enough to allow for a smooth !-- transition between two different grid spacings DO n = 1, number_stretch_level_start min_dz_stretch_level_end(n) = dz_stretch_level_start(n) - & 4 * MAX( dz(n),dz(n+1) ) ENDDO IF ( ANY( min_dz_stretch_level_end (1:number_stretch_level_start) < & dz_stretch_level_end(1:number_stretch_level_start) ) ) THEN message_string= 'Eeach dz_stretch_level_end has to be less ' // & 'than its corresponding value for &' // & 'dz_stretch_level_start - 4*MAX(dz(n),dz(n+1)) '//& 'to allow for smooth grid stretching' CALL message( 'init_grid', 'PA0224', 1, 2, 0, 6, 0 ) ENDIF ! !-- Stretching must not be applied close to the surface (last two grid !-- points). For the default case dz_stretch_level_start is negative. IF ( ANY( dz_stretch_level_start > - dz(1) * 1.5_wp ) ) THEN WRITE( message_string, * ) 'Eeach dz_stretch_level_start has to be ',& 'less than ', dz(1) * 1.5 CALL message( 'init_grid', 'PA0226', 1, 2, 0, 6, 0 ) ENDIF ! !-- The stretching has to start and end on a grid level. Therefore !-- user-specified values have to ''interpolate'' to the next highest level IF ( number_stretch_level_start /= 0 ) THEN dz_stretch_level_start(1) = INT( (dz_stretch_level_start(1) + & dz(1)/2.0) / dz(1) ) & * dz(1) - dz(1)/2.0 ENDIF IF ( number_stretch_level_start > 1 ) THEN DO n = 2, number_stretch_level_start dz_stretch_level_start(n) = INT( dz_stretch_level_start(n) / & dz(n) ) * dz(n) ENDDO ENDIF IF ( number_stretch_level_end /= 0 ) THEN DO n = 1, number_stretch_level_end dz_stretch_level_end(n) = INT( dz_stretch_level_end(n) / & dz(n+1) ) * dz(n+1) ENDDO ENDIF ! !-- Determine stretching factor if necessary IF ( number_stretch_level_end >= 1 ) THEN CALL calculate_stretching_factor( number_stretch_level_end ) ENDIF ! !-- Grid for ocean with free water surface is at k=nzt (w-grid). !-- In case of neumann bc at the ground the first first u-level (k=0) lies !-- below the first w-level (k=0). In case of dirichlet bc the first u- and !-- w-level are defined at same height, but staggered from the second level. !-- The second u-level (k=1) corresponds to the top of the Prandtl-layer. !-- z values are negative starting from z=0 (surface) zu(nzt+1) = dz(1) * 0.5_wp zu(nzt) = - dz(1) * 0.5_wp ! !-- Determine u and v height levels considering the possibility of grid !-- stretching in several heights. n = 1 dz_stretch_level_start_index = 0 dz_stretch_level_end_index = 0 dz_stretched = dz(1) DO k = nzt-1, 0, -1 IF ( dz_stretch_level_start(n) >= zu(k+1) ) THEN dz_stretched = dz_stretched * dz_stretch_factor_array(n) IF ( dz(n) > dz(n+1) ) THEN dz_stretched = MAX( dz_stretched, dz(n+1) ) !Restrict dz_stretched to the user-specified (higher) dz ELSE dz_stretched = MIN( dz_stretched, dz(n+1) ) !Restrict dz_stretched to the user-specified (lower) dz ENDIF IF ( dz_stretch_level_start_index(n) == 0 ) & dz_stretch_level_start_index(n) = k+1 ENDIF zu(k) = zu(k+1) - dz_stretched ! !-- Make sure that the stretching ends exactly at dz_stretch_level_end dz_level_end = ABS( zu(k) - dz_stretch_level_end(n) ) IF ( dz_level_end < dz(n+1)/3.0 ) THEN zu(k) = dz_stretch_level_end(n) dz_stretched = dz(n+1) dz_stretch_level_end_index(n) = k n = n + 1 ENDIF ENDDO ! !-- Compute the w-levels. They are always staggered half-way between the !-- corresponding u-levels, except in case of dirichlet bc for u and v !-- at the ground. In this case the first u- and w-level are defined at !-- same height. The top w-level (nzt+1) is not used but set for !-- consistency, since w and all scalar variables are defined up tp nzt+1. zw(nzt+1) = dz(1) zw(nzt) = 0.0_wp DO k = 0, nzt zw(k) = ( zu(k) + zu(k+1) ) * 0.5_wp ENDDO ! !-- In case of dirichlet bc for u and v the first u- and w-level are defined !-- at same height. IF ( ibc_uv_b == 0 ) THEN zu(0) = zw(0) ENDIF ENDIF ! !-- Compute grid lengths. DO k = 1, nzt+1 dzu(k) = zu(k) - zu(k-1) ddzu(k) = 1.0_wp / dzu(k) dzw(k) = zw(k) - zw(k-1) ddzw(k) = 1.0_wp / dzw(k) ENDDO DO k = 1, nzt dd2zu(k) = 1.0_wp / ( dzu(k) + dzu(k+1) ) ENDDO ! !-- The FFT- SOR-pressure solvers assume grid spacings of a staggered grid !-- everywhere. For the actual grid, the grid spacing at the lowest level !-- is only dz/2, but should be dz. Therefore, an additional array !-- containing with appropriate grid information is created for these !-- solvers. IF ( psolver(1:9) /= 'multigrid' ) THEN ALLOCATE( ddzu_pres(1:nzt+1) ) ddzu_pres = ddzu ddzu_pres(1) = ddzu_pres(2) ! change for lowest level ENDIF ! !-- Compute the reciprocal values of the horizontal grid lengths. ddx = 1.0_wp / dx ddy = 1.0_wp / dy dx2 = dx * dx dy2 = dy * dy ddx2 = 1.0_wp / dx2 ddy2 = 1.0_wp / dy2 ! !-- Allocate 3D array to set topography ALLOCATE( topo(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) topo = 0 ! !-- Initialize topography by generic topography or read from topography from file. CALL init_topo( topo ) ! !-- Set flags to mask topography on the grid. CALL set_topo_flags( topo ) ! !-- Calculate wall flag arrays for the multigrid method. !-- Please note, wall flags are only applied in the non-optimized version. IF ( psolver == 'multigrid_noopt' ) CALL poismg_noopt_init ! !-- Init flags for ws-scheme to degrade order of the numerics near walls, i.e. !-- to decrease the numerical stencil appropriately. IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' ) & CALL ws_init_flags ! !-- Determine the maximum level of topography. It is used for !-- steering the degradation of order of the applied advection scheme, !-- as well in the lpm. k_top = 0 DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt + 1 k_top = MAX( k_top, MERGE( k, 0, & .NOT. BTEST( topo(k,j,i), 0 ) ) ) ENDDO ENDDO ENDDO #if defined( __parallel ) CALL MPI_ALLREDUCE( k_top + 1, nzb_max, 1, MPI_INTEGER, & !is +1 really necessary here? MPI_MAX, comm2d, ierr ) #else nzb_max = k_top + 1 #endif ! !-- If topography extents up to the model top, limit nzb_max to nzt. nzb_max = MIN( nzb_max, nzt ) ! !-- Determine minimum index of topography. Usually, this will be nzb. In case !-- there is elevated topography, however, the lowest topography will be higher. !-- This index is e.g. used to calculate mean first-grid point atmosphere !-- temperature, surface pressure and density, etc. . topo_min_level = 0 #if defined( __parallel ) CALL MPI_ALLREDUCE( MINVAL( get_topography_top_index( 's' ) ), & topo_min_level, 1, MPI_INTEGER, MPI_MIN, comm2d, ierr ) #else topo_min_level = MINVAL( get_topography_top_index( 's' ) ) #endif ! !-- Initialize boundary conditions via surface type CALL init_bc ! !-- Allocate and set topography height arrays required for data output IF ( TRIM( topography ) /= 'flat' ) THEN ! !-- Allocate and set the arrays containing the topography height IF ( nxr == nx .AND. nyn /= ny ) THEN ALLOCATE( zu_s_inner(nxl:nxr+1,nys:nyn), & zw_w_inner(nxl:nxr+1,nys:nyn) ) ELSEIF ( nxr /= nx .AND. nyn == ny ) THEN ALLOCATE( zu_s_inner(nxl:nxr,nys:nyn+1), & zw_w_inner(nxl:nxr,nys:nyn+1) ) ELSEIF ( nxr == nx .AND. nyn == ny ) THEN ALLOCATE( zu_s_inner(nxl:nxr+1,nys:nyn+1), & zw_w_inner(nxl:nxr+1,nys:nyn+1) ) ELSE ALLOCATE( zu_s_inner(nxl:nxr,nys:nyn), & zw_w_inner(nxl:nxr,nys:nyn) ) ENDIF zu_s_inner = 0.0_wp zw_w_inner = 0.0_wp ! !-- Determine local topography height on scalar and w-grid. Note, setting !-- lateral boundary values is not necessary, realized via wall_flags_0 !-- array. Further, please note that loop bounds are different from !-- nxl to nxr and nys to nyn on south and right model boundary, hence, !-- use intrinsic lbound and ubound functions to infer array bounds. DO i = LBOUND(zu_s_inner, 1), UBOUND(zu_s_inner, 1) DO j = LBOUND(zu_s_inner, 2), UBOUND(zu_s_inner, 2) ! !-- Topography height on scalar grid. Therefore, determine index of !-- upward-facing surface element on scalar grid. zu_s_inner(i,j) = zu( get_topography_top_index_ji( j, i, 's' ) ) ! !-- Topography height on w grid. Therefore, determine index of !-- upward-facing surface element on w grid. zw_w_inner(i,j) = zw( get_topography_top_index_ji( j, i, 's' ) ) ENDDO ENDDO ENDIF ! !-- In the following, calculate 2D index arrays. Note, these will be removed !-- soon. !-- Allocate outer and inner index arrays for topography and set !-- defaults. ALLOCATE( nzb_s_inner(nysg:nyng,nxlg:nxrg), & nzb_s_outer(nysg:nyng,nxlg:nxrg), & nzb_u_inner(nysg:nyng,nxlg:nxrg), & nzb_u_outer(nysg:nyng,nxlg:nxrg), & nzb_v_inner(nysg:nyng,nxlg:nxrg), & nzb_v_outer(nysg:nyng,nxlg:nxrg), & nzb_w_inner(nysg:nyng,nxlg:nxrg), & nzb_w_outer(nysg:nyng,nxlg:nxrg), & nzb_diff_s_inner(nysg:nyng,nxlg:nxrg), & nzb_diff_s_outer(nysg:nyng,nxlg:nxrg), & nzb_local(nysg:nyng,nxlg:nxrg), & nzb_tmp(nysg:nyng,nxlg:nxrg) ) ! !-- Initialize 2D-index arrays. Note, these will be removed soon! nzb_local(nys:nyn,nxl:nxr) = get_topography_top_index( 's' ) CALL exchange_horiz_2d_int( nzb_local, nys, nyn, nxl, nxr, nbgp ) ! !-- Check topography for consistency with model domain. Therefore, use !-- maximum and minium topography-top indices. Note, minimum topography top !-- index is already calculated. IF ( TRIM( topography ) /= 'flat' ) THEN #if defined( __parallel ) CALL MPI_ALLREDUCE( MAXVAL( get_topography_top_index( 's' ) ), & nzb_local_max, 1, MPI_INTEGER, MPI_MAX, comm2d, ierr ) #else nzb_local_max = MAXVAL( get_topography_top_index( 's' ) ) #endif nzb_local_min = topo_min_level ! !-- Consistency checks IF ( nzb_local_min < 0 .OR. nzb_local_max > nz + 1 ) THEN WRITE( message_string, * ) 'nzb_local values are outside the', & ' model domain', & '&MINVAL( nzb_local ) = ', nzb_local_min, & '&MAXVAL( nzb_local ) = ', nzb_local_max CALL message( 'init_grid', 'PA0210', 1, 2, 0, 6, 0 ) ENDIF ENDIF nzb_s_inner = nzb; nzb_s_outer = nzb nzb_u_inner = nzb; nzb_u_outer = nzb nzb_v_inner = nzb; nzb_v_outer = nzb nzb_w_inner = nzb; nzb_w_outer = nzb ! !-- Define vertical gridpoint from (or to) which on the usual finite difference !-- form (which does not use surface fluxes) is applied IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN nzb_diff = nzb + 2 ELSE nzb_diff = nzb + 1 ENDIF nzb_diff_s_inner = nzb_diff; nzb_diff_s_outer = nzb_diff ! !-- Set Neumann conditions for topography. Will be removed soon. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp nzb_local(nys-i,:) = nzb_local(nys,:) ENDDO ELSEIF ( nyn == ny ) THEN DO i = 1, nbgp nzb_local(ny+i,:) = nzb_local(ny,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp nzb_local(:,nxl-i) = nzb_local(:,nxl) ENDDO ELSEIF ( nxr == nx ) THEN DO i = 1, nbgp nzb_local(:,nx+i) = nzb_local(:,nx) ENDDO ENDIF ENDIF ! !-- Initialization of 2D index arrays, will be removed soon! !-- Initialize nzb_s_inner and nzb_w_inner nzb_s_inner = nzb_local nzb_w_inner = nzb_local ! !-- Initialize remaining index arrays: !-- first pre-initialize them with nzb_s_inner... nzb_u_inner = nzb_s_inner nzb_u_outer = nzb_s_inner nzb_v_inner = nzb_s_inner nzb_v_outer = nzb_s_inner nzb_w_outer = nzb_s_inner nzb_s_outer = nzb_s_inner ! !-- nzb_s_outer: !-- extend nzb_local east-/westwards first, then north-/southwards nzb_tmp = nzb_local DO j = nys, nyn DO i = nxl, nxr nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i), & nzb_local(j,i+1) ) ENDDO ENDDO CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp ) DO i = nxl, nxr DO j = nys, nyn nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), & nzb_tmp(j+1,i) ) ENDDO ! !-- non-cyclic boundary conditions (overwritten by call of !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) IF ( nys == 0 ) THEN j = -1 nzb_s_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) ) ENDIF IF ( nyn == ny ) THEN j = ny + 1 nzb_s_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) ) ENDIF ENDDO ! !-- nzb_w_outer: !-- identical to nzb_s_outer nzb_w_outer = nzb_s_outer ! !-- nzb_u_inner: !-- extend nzb_local rightwards only nzb_tmp = nzb_local DO j = nys, nyn DO i = nxl, nxr nzb_tmp(j,i) = MAX( nzb_local(j,i-1), nzb_local(j,i) ) ENDDO ENDDO CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp ) nzb_u_inner = nzb_tmp ! !-- nzb_u_outer: !-- extend current nzb_tmp (nzb_u_inner) north-/southwards DO i = nxl, nxr DO j = nys, nyn nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i), & nzb_tmp(j+1,i) ) ENDDO ! !-- non-cyclic boundary conditions (overwritten by call of !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) IF ( nys == 0 ) THEN j = -1 nzb_u_outer(j,i) = MAX( nzb_tmp(j+1,i), nzb_tmp(j,i) ) ENDIF IF ( nyn == ny ) THEN j = ny + 1 nzb_u_outer(j,i) = MAX( nzb_tmp(j-1,i), nzb_tmp(j,i) ) ENDIF ENDDO ! !-- nzb_v_inner: !-- extend nzb_local northwards only nzb_tmp = nzb_local DO i = nxl, nxr DO j = nys, nyn nzb_tmp(j,i) = MAX( nzb_local(j-1,i), nzb_local(j,i) ) ENDDO ENDDO CALL exchange_horiz_2d_int( nzb_tmp, nys, nyn, nxl, nxr, nbgp ) nzb_v_inner = nzb_tmp ! !-- nzb_v_outer: !-- extend current nzb_tmp (nzb_v_inner) right-/leftwards DO j = nys, nyn DO i = nxl, nxr nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i), & nzb_tmp(j,i+1) ) ENDDO ! !-- non-cyclic boundary conditions (overwritten by call of !-- exchange_horiz_2d_int below in case of cyclic boundary conditions) IF ( nxl == 0 ) THEN i = -1 nzb_v_outer(j,i) = MAX( nzb_tmp(j,i+1), nzb_tmp(j,i) ) ENDIF IF ( nxr == nx ) THEN i = nx + 1 nzb_v_outer(j,i) = MAX( nzb_tmp(j,i-1), nzb_tmp(j,i) ) ENDIF ENDDO ! !-- Exchange of lateral boundary values (parallel computers) and cyclic !-- boundary conditions, if applicable. !-- Since nzb_s_inner and nzb_w_inner are derived directly from nzb_local !-- they do not require exchange and are not included here. CALL exchange_horiz_2d_int( nzb_u_inner, nys, nyn, nxl, nxr, nbgp ) CALL exchange_horiz_2d_int( nzb_u_outer, nys, nyn, nxl, nxr, nbgp ) CALL exchange_horiz_2d_int( nzb_v_inner, nys, nyn, nxl, nxr, nbgp ) CALL exchange_horiz_2d_int( nzb_v_outer, nys, nyn, nxl, nxr, nbgp ) CALL exchange_horiz_2d_int( nzb_w_outer, nys, nyn, nxl, nxr, nbgp ) CALL exchange_horiz_2d_int( nzb_s_outer, nys, nyn, nxl, nxr, nbgp ) ! !-- Set the individual index arrays which define the k index from which on !-- the usual finite difference form (which does not use surface fluxes) is !-- applied IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN nzb_diff_s_inner = nzb_s_inner + 2 nzb_diff_s_outer = nzb_s_outer + 2 ELSE nzb_diff_s_inner = nzb_s_inner + 1 nzb_diff_s_outer = nzb_s_outer + 1 ENDIF ! !-- Vertical nesting: communicate vertical grid level arrays between fine and !-- coarse grid IF ( vnested ) CALL vnest_init_grid END SUBROUTINE init_grid ! Description: ! -----------------------------------------------------------------------------! !> Calculation of the stretching factor through an iterative method. Ideas were !> taken from the paper "Regional stretched grid generation and its application !> to the NCAR RegCM (1999)". Normally, no analytic solution exists because the !> system of equations has two variables (r,l) but four requirements !> (l=integer, r=[0,88;1,2], Eq(6), Eq(5) starting from index j=1) which !> results into an overdetermined system. !------------------------------------------------------------------------------! SUBROUTINE calculate_stretching_factor( number_end ) USE control_parameters, & ONLY: dz, dz_stretch_factor_array, & dz_stretch_level_end, dz_stretch_level_start, message_string USE kinds IMPLICIT NONE INTEGER(iwp) :: iterations !< number of iterations until stretch_factor_lower/upper_limit is reached INTEGER(iwp) :: l_rounded !< after l_rounded grid levels dz(n) is strechted to dz(n+1) with stretch_factor_2 INTEGER(iwp) :: n !< loop variable for stretching INTEGER(iwp), INTENT(IN) :: number_end !< number of user-specified end levels for stretching REAL(wp) :: delta_l !< absolute difference between l and l_rounded REAL(wp) :: delta_stretch_factor !< absolute difference between stretch_factor_1 and stretch_factor_2 REAL(wp) :: delta_total_new !< sum of delta_l and delta_stretch_factor for the next iteration (should be as small as possible) REAL(wp) :: delta_total_old !< sum of delta_l and delta_stretch_factor for the last iteration REAL(wp) :: distance !< distance between dz_stretch_level_start and dz_stretch_level_end (stretching region) REAL(wp) :: l !< value that fulfil Eq. (5) in the paper mentioned above together with stretch_factor_1 exactly REAL(wp) :: numerator !< numerator of the quotient REAL(wp) :: stretch_factor_1 !< stretching factor that fulfil Eq. (5) togehter with l exactly REAL(wp) :: stretch_factor_2 !< stretching factor that fulfil Eq. (6) togehter with l_rounded exactly REAL(wp) :: dz_stretch_factor_array_2(9) = 1.08_wp !< Array that contains all stretch_factor_2 that belongs to stretch_factor_1 REAL(wp), PARAMETER :: stretch_factor_interval = 1.0E-06 !< interval for sampling possible stretching factors REAL(wp), PARAMETER :: stretch_factor_lower_limit = 0.88 !< lowest possible stretching factor REAL(wp), PARAMETER :: stretch_factor_upper_limit = 1.12 !< highest possible stretching factor l = 0 DO n = 1, number_end iterations = 1 stretch_factor_1 = 1.0 stretch_factor_2 = 1.0 delta_total_old = 1.0 IF ( dz(n) > dz(n+1) ) THEN DO WHILE ( stretch_factor_1 >= stretch_factor_lower_limit ) stretch_factor_1 = 1.0 - iterations * stretch_factor_interval distance = ABS( dz_stretch_level_end(n) - & dz_stretch_level_start(n) ) numerator = distance*stretch_factor_1/dz(n) + & stretch_factor_1 - distance/dz(n) IF ( numerator > 0.0 ) THEN l = LOG( numerator ) / LOG( stretch_factor_1 ) - 1.0 l_rounded = NINT( l ) delta_l = ABS( l_rounded - l ) / l ENDIF stretch_factor_2 = EXP( LOG( dz(n+1)/dz(n) ) / (l_rounded) ) delta_stretch_factor = ABS( stretch_factor_1 - & stretch_factor_2 ) / & stretch_factor_2 delta_total_new = delta_l + delta_stretch_factor ! !-- stretch_factor_1 is taken to guarantee that the stretching !-- procedure ends as close as possible to dz_stretch_level_end. !-- stretch_factor_2 would guarantee that the stretched dz(n) is !-- equal to dz(n+1) after l_rounded grid levels. IF (delta_total_new < delta_total_old) THEN dz_stretch_factor_array(n) = stretch_factor_1 dz_stretch_factor_array_2(n) = stretch_factor_2 delta_total_old = delta_total_new ENDIF iterations = iterations + 1 ENDDO ELSEIF ( dz(n) < dz(n+1) ) THEN DO WHILE ( stretch_factor_1 <= stretch_factor_upper_limit ) stretch_factor_1 = 1.0 + iterations * stretch_factor_interval distance = ABS( dz_stretch_level_end(n) - & dz_stretch_level_start(n) ) numerator = distance*stretch_factor_1/dz(n) + & stretch_factor_1 - distance/dz(n) l = LOG( numerator ) / LOG( stretch_factor_1 ) - 1.0 l_rounded = NINT( l ) delta_l = ABS( l_rounded - l ) / l stretch_factor_2 = EXP( LOG( dz(n+1)/dz(n) ) / (l_rounded) ) delta_stretch_factor = ABS( stretch_factor_1 - & stretch_factor_2 ) / & stretch_factor_2 delta_total_new = delta_l + delta_stretch_factor ! !-- stretch_factor_1 is taken to guarantee that the stretching !-- procedure ends as close as possible to dz_stretch_level_end. !-- stretch_factor_2 would guarantee that the stretched dz(n) is !-- equal to dz(n+1) after l_rounded grid levels. IF (delta_total_new < delta_total_old) THEN dz_stretch_factor_array(n) = stretch_factor_1 dz_stretch_factor_array_2(n) = stretch_factor_2 delta_total_old = delta_total_new ENDIF iterations = iterations + 1 ENDDO ELSE message_string= 'Two adjacent values of dz must be different' CALL message( 'init_grid', 'PA0228', 1, 2, 0, 6, 0 ) ENDIF ! !-- Check if also the second stretching factor fits into the allowed !-- interval. If not, print a warning for the user. IF ( dz_stretch_factor_array_2(n) < stretch_factor_lower_limit .OR. & dz_stretch_factor_array_2(n) > stretch_factor_upper_limit ) THEN WRITE( message_string, * ) 'stretch_factor_2 = ', & dz_stretch_factor_array_2(n), ' which is',& ' responsible for exactly reaching& dz =',& dz(n+1), 'after a specific amount of', & ' grid levels& exceeds the upper', & ' limit =', stretch_factor_upper_limit, & ' &or lower limit = ', & stretch_factor_lower_limit CALL message( 'init_grid', 'PA0499', 0, 1, 0, 6, 0 ) ENDIF ENDDO END SUBROUTINE calculate_stretching_factor ! Description: ! -----------------------------------------------------------------------------! !> Set temporary topography flags and reference buildings on top of underlying !> orography. !------------------------------------------------------------------------------! SUBROUTINE process_topography( topo_3d ) USE arrays_3d, & ONLY: zu, zw USE control_parameters, & ONLY: bc_lr_cyc, bc_ns_cyc, message_string, ocean_mode USE indices, & ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, & nzt USE netcdf_data_input_mod, & ONLY: buildings_f, building_id_f, building_type_f, input_pids_static, & terrain_height_f USE kinds USE pegrid IMPLICIT NONE INTEGER(iwp) :: i !< running index along x-direction INTEGER(iwp) :: j !< running index along y-direction INTEGER(iwp) :: k !< running index along z-direction with respect to numeric grid INTEGER(iwp) :: k2 !< running index along z-direction with respect to netcdf grid INTEGER(iwp) :: nr !< index variable indication maximum terrain height for respective building ID INTEGER(iwp) :: num_build !< counter for number of buildings INTEGER(iwp) :: topo_top_index !< orography top index, used to map 3D buildings onto terrain INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displace_dum !< displacements of start addresses, used for MPI_ALLGATHERV INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: build_ids !< building IDs on entire model domain INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: build_ids_final !< building IDs on entire model domain, multiple occurences are sorted out INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: build_ids_final_tmp !< temporary array used for resizing INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: build_ids_l !< building IDs on local subdomain INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: build_ids_l_tmp !< temporary array used to resize array of building IDs INTEGER(iwp), DIMENSION(0:numprocs-1) :: num_buildings !< number of buildings with different ID on entire model domain INTEGER(iwp), DIMENSION(0:numprocs-1) :: num_buildings_l !< number of buildings with different ID on local subdomain INTEGER(iwp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: topo_3d !< input array for 3D topography and dummy array for setting "outer"-flags REAL(wp) :: ocean_offset !< offset to consider inverse vertical coordinate at topography definition REAL(wp) :: oro_min = 0.0_wp !< minimum terrain height in entire model domain, used to reference terrain to zero REAL(wp), DIMENSION(:), ALLOCATABLE :: oro_max !< maximum terrain height occupied by an building with certain id REAL(wp), DIMENSION(:), ALLOCATABLE :: oro_max_l !< maximum terrain height occupied by an building with certain id, on local subdomain ! !-- Reference lowest terrain height to zero. In case the minimum terrain height !-- is non-zero, all grid points of the lower vertical grid levels might be !-- entirely below the surface, meaning a waste of computational resources. !-- In order to avoid this, remove the lowest terrain height. Please note, !-- in case of a nested run, the global minimum from all parent and childs !-- need to be remove to avoid steep edges at the child-domain boundaries. IF ( input_pids_static ) THEN #if defined( __parallel ) CALL MPI_ALLREDUCE( MINVAL( terrain_height_f%var ), oro_min, 1, & MPI_REAL, MPI_MIN, MPI_COMM_WORLD, ierr ) #else oro_min = MINVAL( terrain_height_f%var ) #endif terrain_height_f%var = terrain_height_f%var - oro_min ! !-- Give an informative message that terrain height is referenced to zero IF ( oro_min > 0.0_wp ) THEN WRITE( message_string, * ) 'Terrain height was internally shifted '//& 'downwards by ', oro_min, 'meter(s) to save ' // & 'computational resources.' CALL message( 'init_grid', 'PA0505', 0, 0, 0, 6, 0 ) ENDIF ENDIF ! !-- In the following, buildings and orography are further preprocessed !-- before they are mapped on the LES grid. !-- Buildings are mapped on top of the orography by maintaining the roof !-- shape of the building. This can be achieved by referencing building on !-- top of the maximum terrain height within the area occupied by the !-- respective building. As buildings and terrain height are defined PE-wise, !-- parallelization of this referencing is required (a building can be !-- distributed between different PEs). !-- In a first step, determine the number of buildings with different !-- building id on each PE. In a next step, all building ids are gathered !-- into one array which is present to all PEs. For each building ID, !-- the maximum terrain height occupied by the respective building is !-- computed and distributed to each PE. !-- Finally, for each building id and its respective reference orography, !-- builidings are mapped on top. !-- !-- First, pre-set topography flags, bit 1 indicates orography, bit 2 !-- buildings !-- classify the respective surfaces. topo_3d = IBSET( topo_3d, 0 ) topo_3d(nzb,:,:) = IBCLR( topo_3d(nzb,:,:), 0 ) ! !-- In order to map topography on PALM grid also in case of ocean simulations, !-- pre-calculate an offset value. ocean_offset = MERGE( zw(0), 0.0_wp, ocean_mode ) ! !-- Reference buildings on top of orography. This is not necessary !-- if topography is read from ASCII file as no distinction between buildings !-- and terrain height can be made. Moreover, this is also not necessary if !-- urban-surface and land-surface model are used at the same time. IF ( input_pids_static ) THEN IF ( buildings_f%from_file ) THEN num_buildings_l = 0 num_buildings = 0 ! !-- Allocate at least one element for building ids and give it an inital !-- negative value that will be overwritten later. This, however, is !-- necessary in case there all IDs in the model domain are fill values. ALLOCATE( build_ids_l(1) ) build_ids_l = -1 DO i = nxl, nxr DO j = nys, nyn IF ( building_id_f%var(j,i) /= building_id_f%fill ) THEN IF ( num_buildings_l(myid) > 0 ) THEN IF ( ANY( building_id_f%var(j,i) .EQ. build_ids_l ) ) & THEN CYCLE ELSE num_buildings_l(myid) = num_buildings_l(myid) + 1 ! !-- Resize array with different local building ids ALLOCATE( build_ids_l_tmp(1:SIZE(build_ids_l)) ) build_ids_l_tmp = build_ids_l DEALLOCATE( build_ids_l ) ALLOCATE( build_ids_l(1:num_buildings_l(myid)) ) build_ids_l(1:num_buildings_l(myid)-1) = & build_ids_l_tmp(1:num_buildings_l(myid)-1) build_ids_l(num_buildings_l(myid)) = building_id_f%var(j,i) DEALLOCATE( build_ids_l_tmp ) ENDIF ! !-- First occuring building id on PE ELSE num_buildings_l(myid) = num_buildings_l(myid) + 1 build_ids_l(1) = building_id_f%var(j,i) ENDIF ENDIF ENDDO ENDDO ! !-- Determine number of different building ids for the entire domain #if defined( __parallel ) CALL MPI_ALLREDUCE( num_buildings_l, num_buildings, numprocs, & MPI_INTEGER, MPI_SUM, comm2d, ierr ) #else num_buildings = num_buildings_l #endif ! !-- Gather all buildings ids on each PEs. !-- First, allocate array encompassing all building ids in model domain. ALLOCATE( build_ids(1:SUM(num_buildings)) ) #if defined( __parallel ) ! !-- Allocate array for displacements. !-- As each PE may has a different number of buildings, so that !-- the block sizes send by each PE may not be equal. Hence, !-- information about the respective displacement is required, indicating !-- the respective adress where each MPI-task writes into the receive !-- buffer array ALLOCATE( displace_dum(0:numprocs-1) ) displace_dum(0) = 0 DO i = 1, numprocs-1 displace_dum(i) = displace_dum(i-1) + num_buildings(i-1) ENDDO CALL MPI_ALLGATHERV( build_ids_l(1:num_buildings_l(myid)), & num_buildings(myid), & MPI_INTEGER, & build_ids, & num_buildings, & displace_dum, & MPI_INTEGER, & comm2d, ierr ) DEALLOCATE( displace_dum ) #else build_ids = build_ids_l #endif ! !-- Note, in parallel mode building ids can occure mutliple times, as !-- each PE has send its own ids. Therefore, sort out building ids which !-- appear more than one time. num_build = 0 DO nr = 1, SIZE(build_ids) IF ( ALLOCATED(build_ids_final) ) THEN IF ( ANY( build_ids(nr) .EQ. build_ids_final ) ) THEN CYCLE ELSE num_build = num_build + 1 ! !-- Resize ALLOCATE( build_ids_final_tmp(1:num_build) ) build_ids_final_tmp(1:num_build-1) = build_ids_final(1:num_build-1) DEALLOCATE( build_ids_final ) ALLOCATE( build_ids_final(1:num_build) ) build_ids_final(1:num_build-1) = build_ids_final_tmp(1:num_build-1) build_ids_final(num_build) = build_ids(nr) DEALLOCATE( build_ids_final_tmp ) ENDIF ELSE num_build = num_build + 1 ALLOCATE( build_ids_final(1:num_build) ) build_ids_final(num_build) = build_ids(nr) ENDIF ENDDO ! !-- Determine maximumum terrain height occupied by the respective !-- building and temporalily store on oro_max ALLOCATE( oro_max_l(1:SIZE(build_ids_final)) ) ALLOCATE( oro_max(1:SIZE(build_ids_final)) ) oro_max_l = 0.0_wp DO nr = 1, SIZE(build_ids_final) oro_max_l(nr) = MAXVAL( & MERGE( terrain_height_f%var, 0.0_wp, & building_id_f%var(nys:nyn,nxl:nxr) .EQ. & build_ids_final(nr) ) ) ENDDO #if defined( __parallel ) IF ( SIZE(build_ids_final) >= 1 ) THEN CALL MPI_ALLREDUCE( oro_max_l, oro_max, SIZE( oro_max ), MPI_REAL, & MPI_MAX, comm2d, ierr ) ENDIF #else oro_max = oro_max_l #endif ! !-- Finally, determine discrete grid height of maximum orography occupied !-- by a building. Use all-or-nothing approach, i.e. a grid box is either oro_max_l = 0.0 DO nr = 1, SIZE(build_ids_final) DO k = nzb, nzt IF ( zu(k) - ocean_offset <= oro_max(nr) ) & oro_max_l(nr) = zw(k) - ocean_offset ENDDO oro_max(nr) = oro_max_l(nr) ENDDO ENDIF ! !-- Map orography as well as buildings onto grid. DO i = nxl, nxr DO j = nys, nyn topo_top_index = 0 ! !-- Obtain index in global building_id array IF ( buildings_f%from_file ) THEN IF ( building_id_f%var(j,i) /= building_id_f%fill ) THEN ! !-- Determine index where maximum terrain height occupied by !-- the respective building height is stored. nr = MINLOC( ABS( build_ids_final - & building_id_f%var(j,i) ), DIM = 1 ) ENDIF ENDIF DO k = nzb, nzt ! !-- In a first step, if grid point is below or equal the given !-- terrain height, grid point is flagged to be of type natural. !-- Please note, in case there is also a building which is lower !-- than the vertical grid spacing, initialization of surface !-- attributes will not be correct as given surface information !-- will not be in accordance to the classified grid points. !-- Hence, in this case, de-flag the grid point and give it !-- urban type instead. IF ( zu(k) - ocean_offset <= terrain_height_f%var(j,i) ) THEN topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 1 ) topo_top_index = k ! topo_top_index + 1 ENDIF ! !-- Set building grid points. Here, only consider 2D buildings. !-- 3D buildings require separate treatment. IF ( buildings_f%from_file .AND. buildings_f%lod == 1 ) THEN IF ( building_id_f%var(j,i) /= building_id_f%fill ) THEN IF ( zu(k) - ocean_offset <= & oro_max(nr) + buildings_f%var_2d(j,i) ) THEN topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 2 ) ! !-- De-flag grid point of type natural. See comment above. topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 1 ) ENDIF ENDIF ENDIF ENDDO ! !-- Map 3D buildings onto terrain height. !-- In case of any slopes, map building on top of maximum terrain !-- height covered by the building. In other words, extend !-- building down to the respective local terrain-surface height. IF ( buildings_f%from_file .AND. buildings_f%lod == 2 ) THEN IF ( building_id_f%var(j,i) /= building_id_f%fill ) THEN ! !-- Extend building down to the terrain surface, i.e. fill-up !-- surface irregularities below a building. Note, oro_max !-- is already a discrete height according to the all-or-nothing !-- approach, i.e. grid box is either topography or atmosphere, !-- terrain top is defined at upper bound of the grid box. !-- Hence, check for zw in this case. !-- Note, do this only for buildings which are surface mounted, !-- i.e. building types 1-6. Below bridges, which are represented !-- exclusively by building type 7, terrain shape should be !-- maintained. IF ( building_type_f%from_file ) THEN IF ( building_type_f%var(j,i) /= 7 ) THEN DO k = topo_top_index + 1, nzt + 1 IF ( zw(k) - ocean_offset <= oro_max(nr) ) THEN topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 2 ) ENDIF ENDDO ! !-- After surface irregularities are smoothen, determine !-- lower start index where building starts. DO k = nzb, nzt IF ( zw(k) - ocean_offset <= oro_max(nr) ) & topo_top_index = k ENDDO ENDIF ENDIF ! !-- Finally, map building on top. k2 = 0 DO k = topo_top_index, nzt + 1 IF ( k2 <= buildings_f%nz-1 ) THEN IF ( buildings_f%var_3d(k2,j,i) == 1 ) THEN topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 1 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 2 ) ENDIF ENDIF k2 = k2 + 1 ENDDO ENDIF ENDIF ENDDO ENDDO ! !-- Deallocate temporary arrays required for processing and reading data IF ( ALLOCATED( oro_max ) ) DEALLOCATE( oro_max ) IF ( ALLOCATED( oro_max_l ) ) DEALLOCATE( oro_max_l ) IF ( ALLOCATED( build_ids_final ) ) DEALLOCATE( build_ids_final ) ! !-- Topography input via ASCII format. ELSE ocean_offset = MERGE( zw(0), 0.0_wp, ocean_mode ) topo_3d = IBSET( topo_3d, 0 ) topo_3d(nzb,:,:) = IBCLR( topo_3d(nzb,:,:), 0 ) DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt ! !-- Flag topography for all grid points which are below !-- the local topography height. !-- Note, each topography is flagged as building. IF ( zu(k) - ocean_offset <= buildings_f%var_2d(j,i) ) THEN topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 2 ) !indicates building ENDIF ENDDO ENDDO ENDDO ENDIF CALL exchange_horiz_int( topo_3d, nys, nyn, nxl, nxr, nzt, nbgp ) IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) topo_3d(:,-1,:) = topo_3d(:,0,:) IF ( nyn == ny ) topo_3d(:,ny+1,:) = topo_3d(:,ny,:) ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) topo_3d(:,:,-1) = topo_3d(:,:,0) IF ( nxr == nx ) topo_3d(:,:,nx+1) = topo_3d(:,:,nx) ENDIF END SUBROUTINE process_topography ! Description: ! -----------------------------------------------------------------------------! !> Filter topography, i.e. fill holes resolved by only one grid point. !> Such holes are suspected to lead to velocity blow-ups as continuity !> equation on discrete grid cannot be fulfilled in such case. !------------------------------------------------------------------------------! SUBROUTINE filter_topography( topo_3d ) USE control_parameters, & ONLY: bc_lr_cyc, bc_ns_cyc, message_string USE indices, & ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, nzt USE netcdf_data_input_mod, & ONLY: building_id_f, building_type_f USE pegrid IMPLICIT NONE LOGICAL :: filled = .FALSE. !< flag indicating if holes were filled INTEGER(iwp) :: i !< running index along x-direction INTEGER(iwp) :: j !< running index along y-direction INTEGER(iwp) :: k !< running index along z-direction INTEGER(iwp) :: num_hole !< number of holes (in topography) resolved by only one grid point INTEGER(iwp) :: num_hole_l !< number of holes (in topography) resolved by only one grid point on local PE INTEGER(iwp) :: num_wall !< number of surrounding vertical walls for a single grid point INTEGER(iwp), DIMENSION(:,:,:), ALLOCATABLE :: topo_tmp !< temporary 3D-topography used to fill holes INTEGER(iwp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: topo_3d !< 3D-topography array merging buildings and orography ! !-- Before checking for holes, set lateral boundary conditions for !-- topography. After hole-filling, boundary conditions must be set again. !-- Several iterations are performed, in order to fill holes which might !-- emerge by the filling-algorithm itself. ALLOCATE( topo_tmp(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) topo_tmp = 0 num_hole = 99999 DO WHILE ( num_hole > 0 ) num_hole = 0 CALL exchange_horiz_int( topo_3d, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Exchange also building ID and type. Note, building_type is an one-byte !-- variable. IF ( building_id_f%from_file ) & CALL exchange_horiz_2d_int( building_id_f%var, nys, nyn, nxl, nxr, nbgp ) IF ( building_type_f%from_file ) & CALL exchange_horiz_2d_byte( building_type_f%var, nys, nyn, nxl, nxr, nbgp ) topo_tmp = topo_3d ! !-- In case of non-cyclic lateral boundaries, assume lateral boundary to be !-- a solid wall. Thus, intermediate spaces of one grid point between !-- boundary and some topographic structure will be filled. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) topo_tmp(:,-1,:) = IBCLR( topo_tmp(:,0,:), 0 ) IF ( nyn == ny ) topo_tmp(:,ny+1,:) = IBCLR( topo_tmp(:,ny,:), 0 ) ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) topo_tmp(:,:,-1) = IBCLR( topo_tmp(:,:,0), 0 ) IF ( nxr == nx ) topo_tmp(:,:,nx+1) = IBCLR( topo_tmp(:,:,nx), 0 ) ENDIF num_hole_l = 0 DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt IF ( BTEST( topo_tmp(k,j,i), 0 ) ) THEN num_wall = 0 IF ( .NOT. BTEST( topo_tmp(k,j-1,i), 0 ) ) & num_wall = num_wall + 1 IF ( .NOT. BTEST( topo_tmp(k,j+1,i), 0 ) ) & num_wall = num_wall + 1 IF ( .NOT. BTEST( topo_tmp(k,j,i-1), 0 ) ) & num_wall = num_wall + 1 IF ( .NOT. BTEST( topo_tmp(k,j,i+1), 0 ) ) & num_wall = num_wall + 1 IF ( .NOT. BTEST( topo_tmp(k-1,j,i), 0 ) ) & num_wall = num_wall + 1 IF ( .NOT. BTEST( topo_tmp(k+1,j,i), 0 ) ) & num_wall = num_wall + 1 IF ( num_wall >= 4 ) THEN num_hole_l = num_hole_l + 1 ! !-- Clear flag 0 and set special flag ( bit 3) to indicate !-- that new topography point is a result of filtering process. topo_3d(k,j,i) = IBCLR( topo_3d(k,j,i), 0 ) topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 3 ) ! !-- If filled grid point is occupied by a building, classify !-- it as building grid point. IF ( building_type_f%from_file ) THEN IF ( building_type_f%var(j,i) /= & building_type_f%fill .OR. & building_type_f%var(j+1,i) /= & building_type_f%fill .OR. & building_type_f%var(j-1,i) /= & building_type_f%fill .OR. & building_type_f%var(j,i+1) /= & building_type_f%fill .OR. & building_type_f%var(j,i-1) /= & building_type_f%fill ) THEN ! !-- Set flag indicating building surfaces topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 2 ) ! !-- Set building_type and ID at this position if not !-- already set. This is required for proper !-- initialization of urban-surface energy balance !-- solver. IF ( building_type_f%var(j,i) == & building_type_f%fill ) THEN IF ( building_type_f%var(j+1,i) /= & building_type_f%fill ) THEN building_type_f%var(j,i) = & building_type_f%var(j+1,i) building_id_f%var(j,i) = & building_id_f%var(j+1,i) ELSEIF ( building_type_f%var(j-1,i) /= & building_type_f%fill ) THEN building_type_f%var(j,i) = & building_type_f%var(j-1,i) building_id_f%var(j,i) = & building_id_f%var(j-1,i) ELSEIF ( building_type_f%var(j,i+1) /= & building_type_f%fill ) THEN building_type_f%var(j,i) = & building_type_f%var(j,i+1) building_id_f%var(j,i) = & building_id_f%var(j,i+1) ELSEIF ( building_type_f%var(j,i-1) /= & building_type_f%fill ) THEN building_type_f%var(j,i) = & building_type_f%var(j,i-1) building_id_f%var(j,i) = & building_id_f%var(j,i-1) ENDIF ENDIF ENDIF ENDIF ! !-- If filled grid point is already classified as building !-- everything is fine, else classify this grid point as !-- natural type grid point. This case, values for the !-- surface type are already set. IF ( .NOT. BTEST( topo_3d(k,j,i), 2 ) ) THEN topo_3d(k,j,i) = IBSET( topo_3d(k,j,i), 1 ) ENDIF ENDIF ENDIF ENDDO ENDDO ENDDO ! !-- Count the total number of holes, required for informative message. #if defined( __parallel ) CALL MPI_ALLREDUCE( num_hole_l, num_hole, 1, MPI_INTEGER, MPI_SUM, & comm2d, ierr ) #else num_hole = num_hole_l #endif IF ( num_hole > 0 .AND. .NOT. filled ) filled = .TRUE. ENDDO ! !-- Create an informative message if any holes were filled. IF ( filled ) THEN WRITE( message_string, * ) 'Topography was filtered, i.e. holes ' // & 'resolved by only one grid point ' // & 'were filled during initialization.' CALL message( 'init_grid', 'PA0430', 0, 0, 0, 6, 0 ) ENDIF DEALLOCATE( topo_tmp ) ! !-- Finally, exchange topo_3d array again and if necessary set Neumann boundary !-- condition in case of non-cyclic lateral boundaries. CALL exchange_horiz_int( topo_3d, nys, nyn, nxl, nxr, nzt, nbgp ) IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) topo_3d(:,-1,:) = topo_3d(:,0,:) IF ( nyn == ny ) topo_3d(:,ny+1,:) = topo_3d(:,ny,:) ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) topo_3d(:,:,-1) = topo_3d(:,:,0) IF ( nxr == nx ) topo_3d(:,:,nx+1) = topo_3d(:,:,nx) ENDIF ! !-- Exchange building ID and type. Note, building_type is an one-byte variable. IF ( building_id_f%from_file ) & CALL exchange_horiz_2d_int( building_id_f%var, nys, nyn, nxl, nxr, nbgp ) IF ( building_type_f%from_file ) & CALL exchange_horiz_2d_byte( building_type_f%var, nys, nyn, nxl, nxr, nbgp ) END SUBROUTINE filter_topography ! Description: ! -----------------------------------------------------------------------------! !> Reads topography information from file or sets generic topography. Moreover, !> all topography-relevant topography arrays are initialized, and grid flags !> are set. !------------------------------------------------------------------------------! SUBROUTINE init_topo( topo ) USE arrays_3d, & ONLY: zw USE control_parameters, & ONLY: bc_lr_cyc, bc_ns_cyc, building_height, building_length_x, & building_length_y, building_wall_left, building_wall_south, & canyon_height, canyon_wall_left, canyon_wall_south, & canyon_width_x, canyon_width_y, dp_level_ind_b, dz, & message_string, topography, topography_grid_convention, & tunnel_height, tunnel_length, tunnel_width_x, tunnel_width_y, & tunnel_wall_depth USE grid_variables, & ONLY: dx, dy USE indices, & ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nz, & nzb, nzt USE kinds USE pegrid USE surface_mod, & ONLY: get_topography_top_index, get_topography_top_index_ji IMPLICIT NONE INTEGER(iwp) :: bh !< temporary vertical index of building height INTEGER(iwp) :: blx !< grid point number of building size along x INTEGER(iwp) :: bly !< grid point number of building size along y INTEGER(iwp) :: bxl !< index for left building wall INTEGER(iwp) :: bxr !< index for right building wall INTEGER(iwp) :: byn !< index for north building wall INTEGER(iwp) :: bys !< index for south building wall INTEGER(iwp) :: ch !< temporary vertical index for canyon height INTEGER(iwp) :: cwx !< grid point number of canyon size along x INTEGER(iwp) :: cwy !< grid point number of canyon size along y INTEGER(iwp) :: cxl !< index for left canyon wall INTEGER(iwp) :: cxr !< index for right canyon wall INTEGER(iwp) :: cyn !< index for north canyon wall INTEGER(iwp) :: cys !< index for south canyon wall INTEGER(iwp) :: i !< index variable along x INTEGER(iwp) :: j !< index variable along y INTEGER(iwp) :: k !< index variable along z INTEGER(iwp) :: hv_in !< heavyside function to model inner tunnel surface INTEGER(iwp) :: hv_out !< heavyside function to model outer tunnel surface INTEGER(iwp) :: txe_out !< end position of outer tunnel wall in x INTEGER(iwp) :: txs_out !< start position of outer tunnel wall in x INTEGER(iwp) :: tye_out !< end position of outer tunnel wall in y INTEGER(iwp) :: tys_out !< start position of outer tunnel wall in y INTEGER(iwp) :: txe_in !< end position of inner tunnel wall in x INTEGER(iwp) :: txs_in !< start position of inner tunnel wall in x INTEGER(iwp) :: tye_in !< end position of inner tunnel wall in y INTEGER(iwp) :: tys_in !< start position of inner tunnel wall in y INTEGER(iwp) :: td !< tunnel wall depth INTEGER(iwp) :: th !< height of outer tunnel wall INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: nzb_local !< index for topography top at cell-center INTEGER(iwp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: topo !< input array for 3D topography and dummy array for setting "outer"-flags ! !-- Set outer and inner index arrays for non-flat topography. !-- Here consistency checks concerning domain size and periodicity are !-- necessary. !-- Within this SELECT CASE structure only nzb_local is initialized !-- individually depending on the chosen topography type, all other index !-- arrays are initialized further below. SELECT CASE ( TRIM( topography ) ) CASE ( 'flat' ) ! !-- Initialilize 3D topography array, used later for initializing flags topo(nzb+1:nzt+1,:,:) = IBSET( topo(nzb+1:nzt+1,:,:), 0 ) CASE ( 'single_building' ) ! !-- Single rectangular building, by default centered in the middle of the !-- total domain blx = NINT( building_length_x / dx ) bly = NINT( building_length_y / dy ) bh = MINLOC( ABS( zw - building_height ), 1 ) - 1 IF ( ABS( zw(bh) - building_height ) == & ABS( zw(bh+1) - building_height ) ) bh = bh + 1 IF ( building_wall_left == 9999999.9_wp ) THEN building_wall_left = ( nx + 1 - blx ) / 2 * dx ENDIF bxl = NINT( building_wall_left / dx ) bxr = bxl + blx IF ( building_wall_south == 9999999.9_wp ) THEN building_wall_south = ( ny + 1 - bly ) / 2 * dy ENDIF bys = NINT( building_wall_south / dy ) byn = bys + bly ! !-- Building size has to meet some requirements IF ( ( bxl < 1 ) .OR. ( bxr > nx-1 ) .OR. ( bxr < bxl+3 ) .OR. & ( bys < 1 ) .OR. ( byn > ny-1 ) .OR. ( byn < bys+3 ) ) THEN WRITE( message_string, * ) 'inconsistent building parameters:', & '&bxl=', bxl, 'bxr=', bxr, 'bys=', bys, & 'byn=', byn, 'nx=', nx, 'ny=', ny CALL message( 'init_grid', 'PA0203', 1, 2, 0, 6, 0 ) ENDIF ALLOCATE( nzb_local(nysg:nyng,nxlg:nxrg) ) nzb_local = 0 ! !-- Define the building. IF ( bxl <= nxr .AND. bxr >= nxl .AND. & bys <= nyn .AND. byn >= nys ) & nzb_local(MAX(nys,bys):MIN(nyn,byn),MAX(nxl,bxl):MIN(nxr,bxr)) = bh ! !-- Set bit array on basis of nzb_local DO i = nxl, nxr DO j = nys, nyn topo(nzb_local(j,i)+1:nzt+1,j,i) = & IBSET( topo(nzb_local(j,i)+1:nzt+1,j,i), 0 ) ENDDO ENDDO DEALLOCATE( nzb_local ) CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set boundary conditions also for flags. Can be interpreted as Neumann !-- boundary conditions for topography. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp topo(:,nys-i,:) = topo(:,nys,:) ENDDO ENDIF IF ( nyn == ny ) THEN DO i = 1, nbgp topo(:,nyn+i,:) = topo(:,nyn,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp topo(:,:,nxl-i) = topo(:,:,nxl) ENDDO ENDIF IF ( nxr == nx ) THEN DO i = 1, nbgp topo(:,:,nxr+i) = topo(:,:,nxr) ENDDO ENDIF ENDIF CASE ( 'single_street_canyon' ) ! !-- Single quasi-2D street canyon of infinite length in x or y direction. !-- The canyon is centered in the other direction by default. IF ( canyon_width_x /= 9999999.9_wp ) THEN ! !-- Street canyon in y direction cwx = NINT( canyon_width_x / dx ) IF ( canyon_wall_left == 9999999.9_wp ) THEN canyon_wall_left = ( nx + 1 - cwx ) / 2 * dx ENDIF cxl = NINT( canyon_wall_left / dx ) cxr = cxl + cwx ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN ! !-- Street canyon in x direction cwy = NINT( canyon_width_y / dy ) IF ( canyon_wall_south == 9999999.9_wp ) THEN canyon_wall_south = ( ny + 1 - cwy ) / 2 * dy ENDIF cys = NINT( canyon_wall_south / dy ) cyn = cys + cwy ELSE message_string = 'no street canyon width given' CALL message( 'init_grid', 'PA0204', 1, 2, 0, 6, 0 ) ENDIF ch = MINLOC( ABS( zw - canyon_height ), 1 ) - 1 IF ( ABS( zw(ch) - canyon_height ) == & ABS( zw(ch+1) - canyon_height ) ) ch = ch + 1 dp_level_ind_b = ch ! !-- Street canyon size has to meet some requirements IF ( canyon_width_x /= 9999999.9_wp ) THEN IF ( ( cxl < 1 ) .OR. ( cxr > nx-1 ) .OR. ( cwx < 3 ) .OR. & ( ch < 3 ) ) THEN WRITE( message_string, * ) 'inconsistent canyon parameters:', & '&cxl=', cxl, ' cxr=', cxr, & ' cwx=', cwx, & ' ch=', ch, ' nx=', nx, ' ny=', ny CALL message( 'init_grid', 'PA0205', 1, 2, 0, 6, 0 ) ENDIF ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN IF ( ( cys < 1 ) .OR. ( cyn > ny-1 ) .OR. ( cwy < 3 ) .OR. & ( ch < 3 ) ) THEN WRITE( message_string, * ) 'inconsistent canyon parameters:', & '&cys=', cys, ' cyn=', cyn, & ' cwy=', cwy, & ' ch=', ch, ' nx=', nx, ' ny=', ny CALL message( 'init_grid', 'PA0206', 1, 2, 0, 6, 0 ) ENDIF ENDIF IF ( canyon_width_x /= 9999999.9_wp .AND. & canyon_width_y /= 9999999.9_wp ) THEN message_string = 'inconsistent canyon parameters:' // & '&street canyon can only be oriented' // & ' either in x- or in y-direction' CALL message( 'init_grid', 'PA0207', 1, 2, 0, 6, 0 ) ENDIF ALLOCATE( nzb_local(nysg:nyng,nxlg:nxrg) ) nzb_local = ch IF ( canyon_width_x /= 9999999.9_wp ) THEN IF ( cxl <= nxr .AND. cxr >= nxl ) & nzb_local(:,MAX(nxl,cxl+1):MIN(nxr,cxr-1)) = 0 ELSEIF ( canyon_width_y /= 9999999.9_wp ) THEN IF ( cys <= nyn .AND. cyn >= nys ) & nzb_local(MAX(nys,cys+1):MIN(nyn,cyn-1),:) = 0 ENDIF ! !-- Set bit array on basis of nzb_local DO i = nxl, nxr DO j = nys, nyn topo(nzb_local(j,i)+1:nzt+1,j,i) = & IBSET( topo(nzb_local(j,i)+1:nzt+1,j,i), 0 ) ENDDO ENDDO DEALLOCATE( nzb_local ) CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set boundary conditions also for flags. Can be interpreted as Neumann !-- boundary conditions for topography. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp topo(:,nys-i,:) = topo(:,nys,:) ENDDO ENDIF IF ( nyn == ny ) THEN DO i = 1, nbgp topo(:,nyn+i,:) = topo(:,nyn,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp topo(:,:,nxl-i) = topo(:,:,nxl) ENDDO ENDIF IF ( nxr == nx ) THEN DO i = 1, nbgp topo(:,:,nxr+i) = topo(:,:,nxr) ENDDO ENDIF ENDIF CASE ( 'tunnel' ) ! !-- Tunnel height IF ( tunnel_height == 9999999.9_wp ) THEN th = zw( INT( 0.2 * nz) ) ELSE th = tunnel_height ENDIF ! !-- Tunnel-wall depth IF ( tunnel_wall_depth == 9999999.9_wp ) THEN td = MAX ( dx, dy, dz(1) ) ELSE td = tunnel_wall_depth ENDIF ! !-- Check for tunnel width IF ( tunnel_width_x == 9999999.9_wp .AND. & tunnel_width_y == 9999999.9_wp ) THEN message_string = 'No tunnel width is given. ' CALL message( 'init_grid', 'PA0280', 1, 2, 0, 6, 0 ) ENDIF IF ( tunnel_width_x /= 9999999.9_wp .AND. & tunnel_width_y /= 9999999.9_wp ) THEN message_string = 'Inconsistent tunnel parameters:' // & 'tunnel can only be oriented' // & 'either in x- or in y-direction.' CALL message( 'init_grid', 'PA0281', 1, 2, 0, 6, 0 ) ENDIF ! !-- Tunnel axis along y IF ( tunnel_width_x /= 9999999.9_wp ) THEN IF ( tunnel_width_x > ( nx + 1 ) * dx ) THEN message_string = 'Tunnel width too large' CALL message( 'init_grid', 'PA0282', 1, 2, 0, 6, 0 ) ENDIF txs_out = INT( ( nx + 1 ) * 0.5_wp * dx - tunnel_width_x * 0.5_wp ) txe_out = INT( ( nx + 1 ) * 0.5_wp * dx + tunnel_width_x * 0.5_wp ) txs_in = INT( ( nx + 1 ) * 0.5_wp * dx - & ( tunnel_width_x * 0.5_wp - td ) ) txe_in = INT( ( nx + 1 ) * 0.5_wp * dx + & ( tunnel_width_x * 0.5_wp - td ) ) tys_out = INT( ( ny + 1 ) * 0.5_wp * dy - tunnel_length * 0.5_wp ) tye_out = INT( ( ny + 1 ) * 0.5_wp * dy + tunnel_length * 0.5_wp ) tys_in = tys_out tye_in = tye_out ENDIF IF ( tunnel_width_x /= 9999999.9_wp .AND. & tunnel_width_x - 2.0_wp * td <= 2.0_wp * dx ) & THEN message_string = 'Tunnel width too small' CALL message( 'init_grid', 'PA0175', 1, 2, 0, 6, 0 ) ENDIF IF ( tunnel_width_y /= 9999999.9_wp .AND. & tunnel_width_y - 2.0_wp * td <= 2.0_wp * dy ) & THEN message_string = 'Tunnel width too small' CALL message( 'init_grid', 'PA0455', 1, 2, 0, 6, 0 ) ENDIF ! !-- Tunnel axis along x IF ( tunnel_width_y /= 9999999.9_wp ) THEN IF ( tunnel_width_y > ( ny + 1 ) * dy ) THEN message_string = 'Tunnel width too large' CALL message( 'init_grid', 'PA0456', 1, 2, 0, 6, 0 ) ENDIF txs_out = INT( ( nx + 1 ) * 0.5_wp * dx - tunnel_length * 0.5_wp ) txe_out = INT( ( nx + 1 ) * 0.5_wp * dx + tunnel_length * 0.5_wp ) txs_in = txs_out txe_in = txe_out tys_out = INT( ( ny + 1 ) * 0.5_wp * dy - tunnel_width_y * 0.5_wp ) tye_out = INT( ( ny + 1 ) * 0.5_wp * dy + tunnel_width_y * 0.5_wp ) tys_in = INT( ( ny + 1 ) * 0.5_wp * dy - & ( tunnel_width_y * 0.5_wp - td ) ) tye_in = INT( ( ny + 1 ) * 0.5_wp * dy + & ( tunnel_width_y * 0.5_wp - td ) ) ENDIF topo = 0 DO i = nxl, nxr DO j = nys, nyn ! !-- Use heaviside function to model outer tunnel surface hv_out = th * 0.5_wp * & ( ( SIGN( 1.0_wp, i * dx - txs_out ) + 1.0_wp ) & - ( SIGN( 1.0_wp, i * dx - txe_out ) + 1.0_wp ) ) hv_out = hv_out * 0.5_wp * & ( ( SIGN( 1.0_wp, j * dy - tys_out ) + 1.0_wp ) & - ( SIGN( 1.0_wp, j * dy - tye_out ) + 1.0_wp ) ) ! !-- Use heaviside function to model inner tunnel surface hv_in = ( th - td ) * 0.5_wp * & ( ( SIGN( 1.0_wp, i * dx - txs_in ) + 1.0_wp ) & - ( SIGN( 1.0_wp, i * dx - txe_in ) + 1.0_wp ) ) hv_in = hv_in * 0.5_wp * & ( ( SIGN( 1.0_wp, j * dy - tys_in ) + 1.0_wp ) & - ( SIGN( 1.0_wp, j * dy - tye_in ) + 1.0_wp ) ) ! !-- Set flags at x-y-positions without any tunnel surface IF ( hv_out - hv_in == 0.0_wp ) THEN topo(nzb+1:nzt+1,j,i) = IBSET( topo(nzb+1:nzt+1,j,i), 0 ) ! !-- Set flags at x-y-positions with tunnel surfaces ELSE DO k = nzb + 1, nzt + 1 ! !-- Inner tunnel IF ( hv_out - hv_in == th ) THEN IF ( zw(k) <= hv_out ) THEN topo(k,j,i) = IBCLR( topo(k,j,i), 0 ) ELSE topo(k,j,i) = IBSET( topo(k,j,i), 0 ) ENDIF ENDIF ! !-- Lateral tunnel walls IF ( hv_out - hv_in == td ) THEN IF ( zw(k) <= hv_in ) THEN topo(k,j,i) = IBSET( topo(k,j,i), 0 ) ELSEIF ( zw(k) > hv_in .AND. zw(k) <= hv_out ) THEN topo(k,j,i) = IBCLR( topo(k,j,i), 0 ) ELSEIF ( zw(k) > hv_out ) THEN topo(k,j,i) = IBSET( topo(k,j,i), 0 ) ENDIF ENDIF ENDDO ENDIF ENDDO ENDDO CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set boundary conditions also for flags. Can be interpreted as Neumann !-- boundary conditions for topography. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp topo(:,nys-i,:) = topo(:,nys,:) ENDDO ENDIF IF ( nyn == ny ) THEN DO i = 1, nbgp topo(:,nyn+i,:) = topo(:,nyn,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp topo(:,:,nxl-i) = topo(:,:,nxl) ENDDO ENDIF IF ( nxr == nx ) THEN DO i = 1, nbgp topo(:,:,nxr+i) = topo(:,:,nxr) ENDDO ENDIF ENDIF CASE ( 'read_from_file' ) ! !-- Note, topography information have been already read. !-- If required, further process topography, i.e. reference buildings on !-- top of orography and set temporary 3D topography array, which is !-- used later to set grid flags. Calling of this rouinte is also !-- required in case of ASCII input, even though no distinction between !-- terrain- and building height is made in this case. CALL process_topography( topo ) ! !-- Filter holes resolved by only one grid-point CALL filter_topography( topo ) ! !-- Exchange ghost-points, as well as add cyclic or Neumann boundary !-- conditions. CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set lateral boundary conditions for topography on all ghost layers IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp topo(:,nys-i,:) = topo(:,nys,:) ENDDO ENDIF IF ( nyn == ny ) THEN DO i = 1, nbgp topo(:,nyn+i,:) = topo(:,nyn,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp topo(:,:,nxl-i) = topo(:,:,nxl) ENDDO ENDIF IF ( nxr == nx ) THEN DO i = 1, nbgp topo(:,:,nxr+i) = topo(:,:,nxr) ENDDO ENDIF ENDIF CASE DEFAULT ! !-- The DEFAULT case is reached either if the parameter topography !-- contains a wrong character string or if the user has defined a special !-- case in the user interface. There, the subroutine user_init_grid !-- checks which of these two conditions applies. CALL user_init_grid( topo ) CALL filter_topography( topo ) END SELECT ! !-- Consistency checks and index array initialization are only required for !-- non-flat topography. IF ( TRIM( topography ) /= 'flat' ) THEN ! !-- In case of non-flat topography, check whether the convention how to !-- define the topography grid has been set correctly, or whether the default !-- is applicable. If this is not possible, abort. IF ( TRIM( topography_grid_convention ) == ' ' ) THEN IF ( TRIM( topography ) /= 'single_building' .AND. & TRIM( topography ) /= 'single_street_canyon' .AND. & TRIM( topography ) /= 'tunnel' .AND. & TRIM( topography ) /= 'read_from_file') THEN !-- The default value is not applicable here, because it is only valid !-- for the four standard cases 'single_building', !-- 'single_street_canyon', 'tunnel' and 'read_from_file' !-- defined in init_grid. WRITE( message_string, * ) & 'The value for "topography_grid_convention" ', & 'is not set. Its default value is & only valid for ', & '"topography" = ''single_building'', ''tunnel'' ', & '''single_street_canyon'' & or ''read_from_file''.', & '& Choose ''cell_edge'' or ''cell_center''.' CALL message( 'init_grid', 'PA0239', 1, 2, 0, 6, 0 ) ELSE !-- The default value is applicable here. !-- Set convention according to topography. IF ( TRIM( topography ) == 'single_building' .OR. & TRIM( topography ) == 'single_street_canyon' ) THEN topography_grid_convention = 'cell_edge' ELSEIF ( TRIM( topography ) == 'read_from_file' .OR. & TRIM( topography ) == 'tunnel') THEN topography_grid_convention = 'cell_center' ENDIF ENDIF ELSEIF ( TRIM( topography_grid_convention ) /= 'cell_edge' .AND. & TRIM( topography_grid_convention ) /= 'cell_center' ) THEN WRITE( message_string, * ) & 'The value for "topography_grid_convention" is ', & 'not recognized.& Choose ''cell_edge'' or ''cell_center''.' CALL message( 'init_grid', 'PA0240', 1, 2, 0, 6, 0 ) ENDIF IF ( topography_grid_convention == 'cell_edge' ) THEN ! !-- The array nzb_local as defined using the 'cell_edge' convention !-- describes the actual total size of topography which is defined at the !-- cell edges where u=0 on the topography walls in x-direction and v=0 !-- on the topography walls in y-direction. However, PALM uses individual !-- arrays nzb_u|v|w|s_inner|outer that are based on nzb_s_inner. !-- Therefore, the extent of topography in nzb_local is now reduced by !-- 1dx at the E topography walls and by 1dy at the N topography walls !-- to form the basis for nzb_s_inner. !-- Note, the reverse memory access (i-j instead of j-i) is absolutely !-- required at this point. DO j = nys+1, nyn+1 DO i = nxl-1, nxr DO k = nzb, nzt+1 IF ( BTEST( topo(k,j,i), 0 ) .OR. & BTEST( topo(k,j,i+1), 0 ) ) & topo(k,j,i) = IBSET( topo(k,j,i), 0 ) ENDDO ENDDO ENDDO CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) DO i = nxl, nxr+1 DO j = nys-1, nyn DO k = nzb, nzt+1 IF ( BTEST( topo(k,j,i), 0 ) .OR. & BTEST( topo(k,j+1,i), 0 ) ) & topo(k,j,i) = IBSET( topo(k,j,i), 0 ) ENDDO ENDDO ENDDO CALL exchange_horiz_int( topo, nys, nyn, nxl, nxr, nzt, nbgp ) ENDIF ENDIF END SUBROUTINE init_topo SUBROUTINE set_topo_flags(topo) USE control_parameters, & ONLY: bc_lr_cyc, bc_ns_cyc, constant_flux_layer, land_surface, & use_surface_fluxes, use_top_fluxes, urban_surface USE indices, & ONLY: nbgp, nx, nxl, nxlg, nxr, nxrg, ny, nyn, nyng, nys, nysg, nzb, & nzt, wall_flags_0 USE kinds IMPLICIT NONE INTEGER(iwp) :: i !< index variable along x INTEGER(iwp) :: j !< index variable along y INTEGER(iwp) :: k !< index variable along z INTEGER(iwp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: topo !< input array for 3D topography and dummy array for setting "outer"-flags ALLOCATE( wall_flags_0(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) wall_flags_0 = 0 ! !-- Set-up topography flags. First, set flags only for s, u, v and w-grid. !-- Further special flags will be set in following loops. DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt+1 ! !-- scalar grid IF ( BTEST( topo(k,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 0 ) ! !-- u grid IF ( BTEST( topo(k,j,i), 0 ) .AND. & BTEST( topo(k,j,i-1), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 1 ) ! !-- v grid IF ( BTEST( topo(k,j,i), 0 ) .AND. & BTEST( topo(k,j-1,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 2 ) ENDDO DO k = nzb, nzt ! !-- w grid IF ( BTEST( topo(k,j,i), 0 ) .AND. & BTEST( topo(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 3 ) ENDDO wall_flags_0(nzt+1,j,i) = IBSET( wall_flags_0(nzt+1,j,i), 3 ) ENDDO ENDDO CALL exchange_horiz_int( wall_flags_0, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set outer array for scalars to mask near-surface grid points in !-- production_e DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt+1 IF ( BTEST( wall_flags_0(k,j-1,i), 0 ) .AND. & BTEST( wall_flags_0(k,j+1,i), 0 ) .AND. & BTEST( wall_flags_0(k,j,i-1), 0 ) .AND. & BTEST( wall_flags_0(k,j-1,i-1), 0 ) .AND. & BTEST( wall_flags_0(k,j+1,i-1), 0 ) .AND. & BTEST( wall_flags_0(k,j-1,i+1), 0 ) .AND. & BTEST( wall_flags_0(k,j+1,i+1), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 24 ) ENDDO ENDDO ENDDO ! !-- Set further special flags DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt+1 ! !-- scalar grid, former nzb_diff_s_inner. !-- Note, use this flag also to mask topography in diffusion_u and !-- diffusion_v along the vertical direction. In case of !-- use_surface_fluxes, fluxes are calculated via MOST, else, simple !-- gradient approach is applied. Please note, in case of u- and v- !-- diffuison, a small error is made at edges (on the east side for u, !-- at the north side for v), since topography on scalar grid point !-- is used instead of topography on u/v-grid. As number of topography grid !-- points on uv-grid is different than s-grid, different number of !-- surface elements would be required. In order to avoid this, !-- treat edges (u(k,j,i+1)) simply by a gradient approach, i.e. these !-- points are not masked within diffusion_u. Tests had shown that the !-- effect on the flow is negligible. IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN IF ( BTEST( wall_flags_0(k,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 ) ELSE wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 ) ENDIF ENDDO ! !-- Special flag to control vertical diffusion at model top - former !-- nzt_diff wall_flags_0(:,j,i) = IBSET( wall_flags_0(:,j,i), 9 ) IF ( use_top_fluxes ) & wall_flags_0(nzt+1,j,i) = IBCLR( wall_flags_0(nzt+1,j,i), 9 ) DO k = nzb+1, nzt ! !-- Special flag on u grid, former nzb_u_inner + 1, required !-- for disturb_field and initialization. Do not disturb directly at !-- topography, as well as initialize u with zero one grid point outside !-- of topography. IF ( BTEST( wall_flags_0(k-1,j,i), 1 ) .AND. & BTEST( wall_flags_0(k,j,i), 1 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 1 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 20 ) ! !-- Special flag on v grid, former nzb_v_inner + 1, required !-- for disturb_field and initialization. Do not disturb directly at !-- topography, as well as initialize v with zero one grid point outside !-- of topography. IF ( BTEST( wall_flags_0(k-1,j,i), 2 ) .AND. & BTEST( wall_flags_0(k,j,i), 2 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 2 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 ) ! !-- Special flag on scalar grid, former nzb_s_inner+1. Used for !-- lpm_sgs_tke IF ( BTEST( wall_flags_0(k,j,i), 0 ) .AND. & BTEST( wall_flags_0(k-1,j,i), 0 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 25 ) ! !-- Special flag on scalar grid, nzb_diff_s_outer - 1, required in !-- in production_e IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN IF ( BTEST( wall_flags_0(k,j,i), 24 ) .AND. & BTEST( wall_flags_0(k-1,j,i), 24 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 29 ) ELSE IF ( BTEST( wall_flags_0(k,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 29 ) ENDIF ! !-- Special flag on scalar grid, nzb_diff_s_outer - 1, required in !-- in production_e IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN IF ( BTEST( wall_flags_0(k,j,i), 0 ) .AND. & BTEST( wall_flags_0(k-1,j,i), 0 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 ) ELSE IF ( BTEST( wall_flags_0(k,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 ) ENDIF ENDDO ! !-- Flags indicating downward facing walls DO k = nzb+1, nzt ! !-- Scalar grid IF ( BTEST( wall_flags_0(k-1,j,i), 0 ) .AND. & .NOT. BTEST( wall_flags_0(k,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 13 ) ! !-- Downward facing wall on u grid IF ( BTEST( wall_flags_0(k-1,j,i), 1 ) .AND. & .NOT. BTEST( wall_flags_0(k,j,i), 1 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 15 ) ! !-- Downward facing wall on v grid IF ( BTEST( wall_flags_0(k-1,j,i), 2 ) .AND. & .NOT. BTEST( wall_flags_0(k,j,i), 2 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 17 ) ! !-- Downward facing wall on w grid IF ( BTEST( wall_flags_0(k-1,j,i), 3 ) .AND. & .NOT. BTEST( wall_flags_0(k,j,i), 3 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 19 ) ENDDO ! !-- Flags indicating upward facing walls DO k = nzb, nzt ! !-- Upward facing wall on scalar grid IF ( .NOT. BTEST( wall_flags_0(k,j,i), 0 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 ) ! !-- Upward facing wall on u grid IF ( .NOT. BTEST( wall_flags_0(k,j,i), 1 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 1 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 14 ) ! !-- Upward facing wall on v grid IF ( .NOT. BTEST( wall_flags_0(k,j,i), 2 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 2 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 16 ) ! !-- Upward facing wall on w grid IF ( .NOT. BTEST( wall_flags_0(k,j,i), 3 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 3 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 ) ! !-- Special flag on scalar grid, former nzb_s_inner IF ( BTEST( wall_flags_0(k,j,i), 0 ) .OR. & BTEST( wall_flags_0(k,j,i), 12 ) .OR. & BTEST( wall_flags_0(k,j,i), 13 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 22 ) ! !-- Special flag on scalar grid, nzb_diff_s_inner - 1, required for !-- flow_statistics IF ( constant_flux_layer .OR. use_surface_fluxes ) THEN IF ( BTEST( wall_flags_0(k,j,i), 0 ) .AND. & BTEST( wall_flags_0(k+1,j,i), 0 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 ) ELSE IF ( BTEST( wall_flags_0(k,j,i), 22 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 ) ENDIF ENDDO wall_flags_0(nzt+1,j,i) = IBSET( wall_flags_0(nzt+1,j,i), 22 ) wall_flags_0(nzt+1,j,i) = IBSET( wall_flags_0(nzt+1,j,i), 23 ) ENDDO ENDDO ! !-- Finally, set identification flags indicating natural terrain or buildings. !-- Natural terrain grid points. IF ( land_surface ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt+1 ! !-- Natural terrain grid point IF ( BTEST( topo(k,j,i), 1 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 5 ) ENDDO ENDDO ENDDO ENDIF ! !-- Building grid points. IF ( urban_surface ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb, nzt+1 IF ( BTEST( topo(k,j,i), 2 ) ) & wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 6 ) ENDDO ENDDO ENDDO ENDIF ! !-- Exchange ghost points for wall flags CALL exchange_horiz_int( wall_flags_0, nys, nyn, nxl, nxr, nzt, nbgp ) ! !-- Set boundary conditions also for flags. Can be interpreted as Neumann !-- boundary conditions for topography. IF ( .NOT. bc_ns_cyc ) THEN IF ( nys == 0 ) THEN DO i = 1, nbgp wall_flags_0(:,nys-i,:) = wall_flags_0(:,nys,:) ENDDO ENDIF IF ( nyn == ny ) THEN DO i = 1, nbgp wall_flags_0(:,nyn+i,:) = wall_flags_0(:,nyn,:) ENDDO ENDIF ENDIF IF ( .NOT. bc_lr_cyc ) THEN IF ( nxl == 0 ) THEN DO i = 1, nbgp wall_flags_0(:,:,nxl-i) = wall_flags_0(:,:,nxl) ENDDO ENDIF IF ( nxr == nx ) THEN DO i = 1, nbgp wall_flags_0(:,:,nxr+i) = wall_flags_0(:,:,nxr) ENDDO ENDIF ENDIF END SUBROUTINE set_topo_flags