!> @file diffusion_w.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 1997-2017 Leibniz Universitaet Hannover !------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: diffusion_w.f90 2696 2017-12-14 17:12:51Z kanani $ ! ! 2232 2017-05-30 17:47:52Z suehring ! Adjustments to new topography and surface concept ! ! 2118 2017-01-17 16:38:49Z raasch ! OpenACC version of subroutine removed ! ! 2037 2016-10-26 11:15:40Z knoop ! Anelastic approximation implemented ! ! 2000 2016-08-20 18:09:15Z knoop ! Forced header and separation lines into 80 columns ! ! 1873 2016-04-18 14:50:06Z maronga ! Module renamed (removed _mod) ! ! 1850 2016-04-08 13:29:27Z maronga ! Module renamed ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1374 2014-04-25 12:55:07Z raasch ! vsws + vswst removed from acc-present-list ! ! 1353 2014-04-08 15:21:23Z heinze ! REAL constants provided with KIND-attribute ! ! 1340 2014-03-25 19:45:13Z kanani ! REAL constants defined as wp-kind ! ! 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 ! ! 1257 2013-11-08 15:18:40Z raasch ! openacc loop and loop vector clauses removed, declare create moved after ! the FORTRAN declaration statement ! ! 1128 2013-04-12 06:19:32Z raasch ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, ! j_north ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 1015 2012-09-27 09:23:24Z raasch ! accelerator version (*_acc) added ! ! 1001 2012-09-13 14:08:46Z raasch ! arrays comunicated by module instead of parameter list ! ! 978 2012-08-09 08:28:32Z fricke ! outflow damping layer removed ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp ! ! Revision 1.1 1997/09/12 06:24:11 raasch ! Initial revision ! ! ! Description: ! ------------ !> Diffusion term of the w-component !------------------------------------------------------------------------------! MODULE diffusion_w_mod PRIVATE PUBLIC diffusion_w INTERFACE diffusion_w MODULE PROCEDURE diffusion_w MODULE PROCEDURE diffusion_w_ij END INTERFACE diffusion_w CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for all grid points !------------------------------------------------------------------------------! SUBROUTINE diffusion_w USE arrays_3d, & ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air USE control_parameters, & ONLY : topography USE grid_variables, & ONLY : ddx, ddy USE indices, & ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 USE kinds USE surface_mod, & ONLY : surf_def_v, surf_lsm_v, surf_usm_v IMPLICIT NONE INTEGER(iwp) :: i !< running index x direction INTEGER(iwp) :: j !< running index y direction INTEGER(iwp) :: k !< running index z direction INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall INTEGER(iwp) :: m !< running index surface elements INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint REAL(wp) :: flag !< flag to mask topography grid points REAL(wp) :: kmxm !< REAL(wp) :: kmxp !< REAL(wp) :: kmym !< REAL(wp) :: kmyp !< REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt-1 ! !-- Predetermine flag to mask topography and wall-bounded grid points. flag = MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_0(k,j,i), 3 ) ) mask_east = MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_0(k,j,i+1), 3 ) ) mask_west = MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_0(k,j,i-1), 3 ) ) mask_south = MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_0(k,j-1,i), 3 ) ) mask_north = MERGE( 1.0_wp, 0.0_wp, & BTEST( wall_flags_0(k,j+1,i), 3 ) ) ! !-- Interpolate eddy diffusivities on staggered gridpoints kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & km(k+1,j,i) + km(k+1,j,i+1) ) kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & km(k+1,j,i) + km(k+1,j,i-1) ) kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & km(k,j+1,i) + km(k+1,j+1,i) ) kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & km(k,j-1,i) + km(k+1,j-1,i) ) tend(k,j,i) = tend(k,j,i) & + ( mask_east * kmxp * ( & ( w(k,j,i+1) - w(k,j,i) ) * ddx & + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & ) & - mask_west * kmxm * ( & ( w(k,j,i) - w(k,j,i-1) ) * ddx & + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & ) & ) * ddx * flag & + ( mask_north * kmyp * ( & ( w(k,j+1,i) - w(k,j,i) ) * ddy & + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & ) & - mask_south * kmym * ( & ( w(k,j,i) - w(k,j-1,i) ) * ddy & + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & ) & ) * ddy * flag & + 2.0_wp * ( & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & * rho_air(k+1) & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & * rho_air(k) & ) * ddzu(k+1) * drho_air_zw(k) * flag ENDDO ! !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) !-- surfaces. Note, in the the flat case, loops won't be entered as !-- start_index > end_index. Furtermore, note, no vertical natural surfaces !-- so far. !-- Default-type surfaces DO l = 0, 1 surf_s = surf_def_v(l)%start_index(j,i) surf_e = surf_def_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_def_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_def_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Natural-type surfaces DO l = 0, 1 surf_s = surf_lsm_v(l)%start_index(j,i) surf_e = surf_lsm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_lsm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_lsm_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Urban-type surfaces DO l = 0, 1 surf_s = surf_usm_v(l)%start_index(j,i) surf_e = surf_usm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_usm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_usm_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) !-- surface. !-- Default-type surfaces DO l = 2, 3 surf_s = surf_def_v(l)%start_index(j,i) surf_e = surf_def_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_def_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_def_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO ! !-- Natural-type surfaces DO l = 2, 3 surf_s = surf_lsm_v(l)%start_index(j,i) surf_e = surf_lsm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_lsm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_lsm_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO ! !-- Urban-type surfaces DO l = 2, 3 surf_s = surf_usm_v(l)%start_index(j,i) surf_e = surf_usm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_usm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_usm_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO ENDDO ENDDO END SUBROUTINE diffusion_w !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for grid point i,j !------------------------------------------------------------------------------! SUBROUTINE diffusion_w_ij( i, j ) USE arrays_3d, & ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air USE control_parameters, & ONLY : topography USE grid_variables, & ONLY : ddx, ddy USE indices, & ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 USE kinds USE surface_mod, & ONLY : surf_def_v, surf_lsm_v, surf_usm_v IMPLICIT NONE INTEGER(iwp) :: i !< running index x direction INTEGER(iwp) :: j !< running index y direction INTEGER(iwp) :: k !< running index z direction INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall INTEGER(iwp) :: m !< running index surface elements INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint REAL(wp) :: flag !< flag to mask topography grid points REAL(wp) :: kmxm !< REAL(wp) :: kmxp !< REAL(wp) :: kmym !< REAL(wp) :: kmyp !< REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point DO k = nzb+1, nzt-1 ! !-- Predetermine flag to mask topography and wall-bounded grid points. flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) ) mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) ) mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) ) mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) ) mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) ) ! !-- Interpolate eddy diffusivities on staggered gridpoints kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) tend(k,j,i) = tend(k,j,i) & + ( mask_east * kmxp * ( & ( w(k,j,i+1) - w(k,j,i) ) * ddx & + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & ) & - mask_west * kmxm * ( & ( w(k,j,i) - w(k,j,i-1) ) * ddx & + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & ) & ) * ddx * flag & + ( mask_north * kmyp * ( & ( w(k,j+1,i) - w(k,j,i) ) * ddy & + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & ) & - mask_south * kmym * ( & ( w(k,j,i) - w(k,j-1,i) ) * ddy & + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & ) & ) * ddy * flag & + 2.0_wp * ( & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & * rho_air(k+1) & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & * rho_air(k) & ) * ddzu(k+1) * drho_air_zw(k) * flag ENDDO ! !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) !-- surfaces. Note, in the the flat case, loops won't be entered as !-- start_index > end_index. Furtermore, note, no vertical natural surfaces !-- so far. !-- Default-type surfaces DO l = 0, 1 surf_s = surf_def_v(l)%start_index(j,i) surf_e = surf_def_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_def_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_def_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Natural-type surfaces DO l = 0, 1 surf_s = surf_lsm_v(l)%start_index(j,i) surf_e = surf_lsm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_lsm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_lsm_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Urban-type surfaces DO l = 0, 1 surf_s = surf_usm_v(l)%start_index(j,i) surf_e = surf_usm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_usm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_usm_v(l)%mom_flux_w(m) * ddy ENDDO ENDDO ! !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) !-- surfaces. !-- Default-type surfaces DO l = 2, 3 surf_s = surf_def_v(l)%start_index(j,i) surf_e = surf_def_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_def_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_def_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO ! !-- Natural-type surfaces DO l = 2, 3 surf_s = surf_lsm_v(l)%start_index(j,i) surf_e = surf_lsm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_lsm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_lsm_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO ! !-- Urban-type surfaces DO l = 2, 3 surf_s = surf_usm_v(l)%start_index(j,i) surf_e = surf_usm_v(l)%end_index(j,i) DO m = surf_s, surf_e k = surf_usm_v(l)%k(m) tend(k,j,i) = tend(k,j,i) + & surf_usm_v(l)%mom_flux_w(m) * ddx ENDDO ENDDO END SUBROUTINE diffusion_w_ij END MODULE diffusion_w_mod