!> @file diffusion_s.f90 !------------------------------------------------------------------------------! ! This file is part of PALM. ! ! 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_s.f90 2119 2017-01-17 16:51:50Z raasch $ ! ! 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 ! ! 1691 2015-10-26 16:17:44Z maronga ! Formatting corrections. ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1374 2014-04-25 12:55:07Z raasch ! missing variables added to ONLY list ! ! 1340 2014-03-25 19:45:13Z kanani ! 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 ! ! 1128 2013-04-12 06:19:32Z raasch ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, ! j_north ! ! 1092 2013-02-02 11:24:22Z raasch ! unused variables removed ! ! 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 ! ! 1010 2012-09-20 07:59:54Z raasch ! cpp switch __nopointer added for pointer free version ! ! 1001 2012-09-13 14:08:46Z raasch ! some arrays comunicated by module instead of parameter list ! ! Revision 1.1 2000/04/13 14:54:02 schroeter ! Initial revision ! ! ! Description: ! ------------ !> Diffusion term of scalar quantities (temperature and water content) !------------------------------------------------------------------------------! MODULE diffusion_s_mod PRIVATE PUBLIC diffusion_s INTERFACE diffusion_s MODULE PROCEDURE diffusion_s MODULE PROCEDURE diffusion_s_ij END INTERFACE diffusion_s CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for all grid points !------------------------------------------------------------------------------! SUBROUTINE diffusion_s( s, s_flux_b, s_flux_t, wall_s_flux ) USE arrays_3d, & ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw USE control_parameters, & ONLY: use_surface_fluxes, use_top_fluxes USE grid_variables, & ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y USE indices, & ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff USE kinds IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< REAL(wp) :: wall_s_flux(0:4) !< REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b, s_flux_t !< #if defined( __nopointer ) REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< #else REAL(wp), DIMENSION(:,:,:), POINTER :: s !< #endif DO i = nxl, nxr DO j = nys,nyn ! !-- Compute horizontal diffusion DO k = nzb_s_outer(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) & + 0.5_wp * ( & ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & ) * ddx2 & + 0.5_wp * ( & ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & ) * ddy2 ENDDO ! !-- Apply prescribed horizontal wall heatflux where necessary IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) & ) THEN DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) tend(k,j,i) = tend(k,j,i) & + ( fwxp(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & -fwxm(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & ) * ddx2 & + ( fwyp(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & -fwym(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & ) * ddy2 ENDDO ENDIF ! !-- Compute vertical diffusion. In case that surface fluxes have been !-- prescribed or computed at bottom and/or top, index k starts/ends at !-- nzb+2 or nzt-1, respectively. DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) & + 0.5_wp * ( & ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & * rho_air_zw(k) & - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & * rho_air_zw(k-1) & ) * ddzw(k) * drho_air(k) ENDDO ! !-- Vertical diffusion at the first computational gridpoint along !-- z-direction IF ( use_surface_fluxes ) THEN k = nzb_s_inner(j,i)+1 tend(k,j,i) = tend(k,j,i) & + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & * ( s(k+1,j,i)-s(k,j,i) ) & * ddzu(k+1) & * rho_air_zw(k) & + s_flux_b(j,i) & ) * ddzw(k) * drho_air(k) ENDIF ! !-- Vertical diffusion at the last computational gridpoint along !-- z-direction IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) & + ( - s_flux_t(j,i) & - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& * ( s(k,j,i)-s(k-1,j,i) ) & * ddzu(k) & * rho_air_zw(k-1) & ) * ddzw(k) * drho_air(k) ENDIF ENDDO ENDDO END SUBROUTINE diffusion_s !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for grid point i,j !------------------------------------------------------------------------------! SUBROUTINE diffusion_s_ij( i, j, s, s_flux_b, s_flux_t, wall_s_flux ) USE arrays_3d, & ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw USE control_parameters, & ONLY: use_surface_fluxes, use_top_fluxes USE grid_variables, & ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y USE indices, & ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_diff_s_inner, nzb_s_inner, & nzb_s_outer, nzt, nzt_diff USE kinds IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< REAL(wp) :: wall_s_flux(0:4) !< REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !< REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !< #if defined( __nopointer ) REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< #else REAL(wp), DIMENSION(:,:,:), POINTER :: s !< #endif ! !-- Compute horizontal diffusion DO k = nzb_s_outer(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) & + 0.5_wp * ( & ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & ) * ddx2 & + 0.5_wp * ( & ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & ) * ddy2 ENDDO ! !-- Apply prescribed horizontal wall heatflux where necessary IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) ) & THEN DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) tend(k,j,i) = tend(k,j,i) & + ( fwxp(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & -fwxm(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & ) * ddx2 & + ( fwyp(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & -fwym(j,i) * 0.5_wp * & ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & ) * ddy2 ENDDO ENDIF ! !-- Compute vertical diffusion. In case that surface fluxes have been !-- prescribed or computed at bottom and/or top, index k starts/ends at !-- nzb+2 or nzt-1, respectively. DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) & + 0.5_wp * ( & ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & * rho_air_zw(k) & - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & * rho_air_zw(k-1) & ) * ddzw(k) * drho_air(k) ENDDO ! !-- Vertical diffusion at the first computational gridpoint along z-direction IF ( use_surface_fluxes ) THEN k = nzb_s_inner(j,i)+1 tend(k,j,i) = tend(k,j,i) + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & * ( s(k+1,j,i)-s(k,j,i) ) & * ddzu(k+1) & * rho_air_zw(k) & + s_flux_b(j,i) & ) * ddzw(k) * drho_air(k) ENDIF ! !-- Vertical diffusion at the last computational gridpoint along z-direction IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) ) & * ( s(k,j,i)-s(k-1,j,i) ) & * ddzu(k) & * rho_air_zw(k-1) & ) * ddzw(k) * drho_air(k) ENDIF END SUBROUTINE diffusion_s_ij END MODULE diffusion_s_mod