!> @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 1997-2020 Leibniz Universitaet Hannover !--------------------------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: advec_s_pw.f90 4488 2020-04-03 11:34:29Z raasch $ ! file re-formatted to follow the PALM coding standard ! ! 4360 2020-01-07 11:25:50Z 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