!> @file advec_s_pw.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: advec_s_pw.f90 4182 2019-08-22 15:20:23Z suehring $ ! Corrected "Former revisions" section ! ! 3927 2019-04-23 13:24:29Z raasch ! pointer attribute removed from scalar 3d-array for performance reasons ! ! 3665 2019-01-10 08:28:24Z raasch ! unused variables removed ! ! 3655 2019-01-07 16:51:22Z knoop ! nopointer option removed ! ! Revision 1.1 1997/08/29 08:54:20 raasch ! Initial revision ! ! ! Description: ! ------------ !> Advection term for scalar variables using the Piacsek and Williams scheme !> (form C3). Contrary to PW itself, for reasons of accuracy their scheme is !> slightly modified as follows: the values of those scalars that are used for !> the computation of the flux divergence are reduced by the value of the !> relevant scalar at the location where the difference is computed (sk(k,j,i)). !> NOTE: at the first grid point above the surface computation still takes place! !------------------------------------------------------------------------------! MODULE advec_s_pw_mod PRIVATE PUBLIC advec_s_pw INTERFACE advec_s_pw MODULE PROCEDURE advec_s_pw MODULE PROCEDURE advec_s_pw_ij END INTERFACE CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for all grid points !------------------------------------------------------------------------------! SUBROUTINE advec_s_pw( sk ) USE arrays_3d, & ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w USE control_parameters, & ONLY: u_gtrans, v_gtrans USE grid_variables, & ONLY: ddx, ddy USE indices, & ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt USE kinds IMPLICIT NONE INTEGER(iwp) :: i !< grid index along x-direction INTEGER(iwp) :: j !< grid index along y-direction INTEGER(iwp) :: k !< grid index along z-direction REAL(wp) :: gu !< local additional advective velocity REAL(wp) :: gv !< local additional advective velocity REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk DO i = nxl, nxr DO j = nys, nyn DO k = nzb+1, nzt ! !-- Galilean transformation + Stokes drift velocity (ocean only) gu = u_gtrans - u_stokes_zu(k) gv = v_gtrans - v_stokes_zu(k) tend(k,j,i) = tend(k,j,i) + & ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & ( sk(k,j,i+1) - sk(k,j,i) ) & - ( u(k,j,i) - gu ) * & ( sk(k,j,i-1) - sk(k,j,i) ) & ) * ddx & -0.5_wp * ( ( v(k,j+1,i) - gv ) * & ( sk(k,j+1,i) - sk(k,j,i) ) & - ( v(k,j,i) - gv ) * & ( sk(k,j-1,i) - sk(k,j,i) ) & ) * ddy & - ( w(k,j,i) * & ( sk(k+1,j,i) - sk(k,j,i) ) & - w(k-1,j,i) * & ( sk(k-1,j,i) - sk(k,j,i) ) & ) * dd2zu(k) & ) ENDDO ENDDO ENDDO END SUBROUTINE advec_s_pw !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for grid point i,j !------------------------------------------------------------------------------! SUBROUTINE advec_s_pw_ij( i, j, sk ) USE arrays_3d, & ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w USE control_parameters, & ONLY: u_gtrans, v_gtrans USE grid_variables, & ONLY: ddx, ddy USE indices, & ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt USE kinds IMPLICIT NONE INTEGER(iwp) :: i !< grid index along x-direction INTEGER(iwp) :: j !< grid index along y-direction INTEGER(iwp) :: k !< grid index along z-direction REAL(wp) :: gu !< local additional advective velocity REAL(wp) :: gv !< local additional advective velocity REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk DO k = nzb+1, nzt ! !-- Galilean transformation + Stokes drift velocity (ocean only) gu = u_gtrans - u_stokes_zu(k) gv = v_gtrans - v_stokes_zu(k) tend(k,j,i) = tend(k,j,i) + & ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & ( sk(k,j,i+1) - sk(k,j,i) ) & - ( u(k,j,i) - gu ) * & ( sk(k,j,i-1) - sk(k,j,i) ) & ) * ddx & -0.5_wp * ( ( v(k,j+1,i) - gv ) * & ( sk(k,j+1,i) - sk(k,j,i) ) & - ( v(k,j,i) - gv ) * & ( sk(k,j-1,i) - sk(k,j,i) ) & ) * ddy & - ( w(k,j,i) * & ( sk(k+1,j,i) - sk(k,j,i) ) & - w(k-1,j,i) * & ( sk(k-1,j,i) - sk(k,j,i) ) & ) * dd2zu(k) & ) ENDDO END SUBROUTINE advec_s_pw_ij END MODULE advec_s_pw_mod