| 1 | !> @file advec_s_pw.f90 |
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| 2 | !--------------------------------------------------------------------------------------------------! |
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| 3 | ! This file is part of the PALM model system. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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| 6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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| 7 | ! (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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| 10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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| 11 | ! Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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| 14 | ! <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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| 16 | ! Copyright 1997-2021 Leibniz Universitaet Hannover |
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| 17 | !--------------------------------------------------------------------------------------------------! |
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| 18 | ! |
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| 19 | ! Current revisions: |
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| 20 | ! ----------------- |
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| 21 | ! |
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| 22 | ! |
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| 23 | ! Former revisions: |
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| 24 | ! ----------------- |
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| 25 | ! $Id: advec_s_pw.f90 4828 2021-01-05 11:21:41Z scharf $ |
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| 26 | ! file re-formatted to follow the PALM coding standard |
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| 27 | ! |
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| 28 | ! 4360 2020-01-07 11:25:50Z suehring |
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| 29 | ! Corrected "Former revisions" section |
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| 30 | ! |
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| 31 | ! 3927 2019-04-23 13:24:29Z raasch |
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| 32 | ! pointer attribute removed from scalar 3d-array for performance reasons |
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| 33 | ! |
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| 34 | ! 3665 2019-01-10 08:28:24Z raasch |
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| 35 | ! unused variables removed |
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| 36 | ! |
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| 37 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 38 | ! nopointer option removed |
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| 39 | ! |
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| 40 | ! Revision 1.1 1997/08/29 08:54:20 raasch |
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| 41 | ! Initial revision |
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| 42 | ! |
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| 43 | ! |
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| 44 | ! Description: |
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| 45 | ! ------------ |
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| 46 | !> Advection term for scalar variables using the Piacsek and Williams scheme (form C3). Contrary to |
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| 47 | !> PW itself, for reasons of accuracy their scheme is slightly modified as follows: the values of |
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| 48 | !> those scalars that are used for the computation of the flux divergence are reduced by the value |
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| 49 | !> of the relevant scalar at the location where the difference is computed (sk(k,j,i)). |
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| 50 | !> NOTE: at the first grid point above the surface computation still takes place! |
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| 51 | !--------------------------------------------------------------------------------------------------! |
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| 52 | MODULE advec_s_pw_mod |
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| 53 | |
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| 54 | |
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| 55 | PRIVATE |
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| 56 | PUBLIC advec_s_pw |
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| 57 | |
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| 58 | INTERFACE advec_s_pw |
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| 59 | MODULE PROCEDURE advec_s_pw |
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| 60 | MODULE PROCEDURE advec_s_pw_ij |
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| 61 | END INTERFACE |
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| 62 | |
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| 63 | CONTAINS |
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| 64 | |
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| 65 | |
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| 66 | !--------------------------------------------------------------------------------------------------! |
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| 67 | ! Description: |
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| 68 | ! ------------ |
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| 69 | !> Call for all grid points |
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| 70 | !--------------------------------------------------------------------------------------------------! |
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| 71 | SUBROUTINE advec_s_pw( sk ) |
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| 72 | |
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| 73 | USE arrays_3d, & |
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| 74 | ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w |
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| 75 | |
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| 76 | USE control_parameters, & |
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| 77 | ONLY: u_gtrans, v_gtrans |
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| 78 | |
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| 79 | USE grid_variables, & |
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| 80 | ONLY: ddx, ddy |
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| 81 | |
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| 82 | USE indices, & |
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| 83 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt |
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| 84 | |
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| 85 | USE kinds |
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| 86 | |
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| 87 | |
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| 88 | IMPLICIT NONE |
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| 89 | |
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| 90 | INTEGER(iwp) :: i !< grid index along x-direction |
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| 91 | INTEGER(iwp) :: j !< grid index along y-direction |
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| 92 | INTEGER(iwp) :: k !< grid index along z-direction |
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| 93 | |
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| 94 | REAL(wp) :: gu !< local additional advective velocity |
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| 95 | REAL(wp) :: gv !< local additional advective velocity |
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| 96 | |
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| 97 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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| 98 | |
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| 99 | |
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| 100 | DO i = nxl, nxr |
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| 101 | DO j = nys, nyn |
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| 102 | DO k = nzb+1, nzt |
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| 103 | |
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| 104 | ! |
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| 105 | !-- Galilean transformation + Stokes drift velocity (ocean only) |
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| 106 | gu = u_gtrans - u_stokes_zu(k) |
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| 107 | gv = v_gtrans - v_stokes_zu(k) |
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| 108 | |
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| 109 | tend(k,j,i) = tend(k,j,i) + & |
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| 110 | ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & |
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| 111 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
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| 112 | - ( u(k,j,i) - gu ) * & |
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| 113 | ( sk(k,j,i-1) - sk(k,j,i) ) & |
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| 114 | ) * ddx & |
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| 115 | -0.5_wp * ( ( v(k,j+1,i) - gv ) * & |
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| 116 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
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| 117 | - ( v(k,j,i) - gv ) * & |
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| 118 | ( sk(k,j-1,i) - sk(k,j,i) ) & |
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| 119 | ) * ddy & |
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| 120 | - ( w(k,j,i) * & |
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| 121 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
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| 122 | - w(k-1,j,i) * & |
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| 123 | ( sk(k-1,j,i) - sk(k,j,i) ) & |
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| 124 | ) * dd2zu(k) & |
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| 125 | ) |
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| 126 | ENDDO |
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| 127 | ENDDO |
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| 128 | ENDDO |
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| 129 | |
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| 130 | END SUBROUTINE advec_s_pw |
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| 131 | |
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| 132 | |
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| 133 | !--------------------------------------------------------------------------------------------------! |
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| 134 | ! Description: |
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| 135 | ! ------------ |
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| 136 | !> Call for grid point i,j |
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| 137 | !--------------------------------------------------------------------------------------------------! |
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| 138 | SUBROUTINE advec_s_pw_ij( i, j, sk ) |
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| 139 | |
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| 140 | USE arrays_3d, & |
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| 141 | ONLY: dd2zu, tend, u, u_stokes_zu, v, v_stokes_zu, w |
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| 142 | |
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| 143 | USE control_parameters, & |
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| 144 | ONLY: u_gtrans, v_gtrans |
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| 145 | |
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| 146 | USE grid_variables, & |
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| 147 | ONLY: ddx, ddy |
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| 148 | |
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| 149 | USE indices, & |
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| 150 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt |
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| 151 | |
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| 152 | USE kinds |
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| 153 | |
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| 154 | |
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| 155 | IMPLICIT NONE |
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| 156 | |
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| 157 | INTEGER(iwp) :: i !< grid index along x-direction |
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| 158 | INTEGER(iwp) :: j !< grid index along y-direction |
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| 159 | INTEGER(iwp) :: k !< grid index along z-direction |
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| 160 | |
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| 161 | REAL(wp) :: gu !< local additional advective velocity |
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| 162 | REAL(wp) :: gv !< local additional advective velocity |
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| 163 | |
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| 164 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk |
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| 165 | |
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| 166 | |
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| 167 | DO k = nzb+1, nzt |
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| 168 | |
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| 169 | ! |
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| 170 | !-- Galilean transformation + Stokes drift velocity (ocean only) |
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| 171 | gu = u_gtrans - u_stokes_zu(k) |
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| 172 | gv = v_gtrans - v_stokes_zu(k) |
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| 173 | |
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| 174 | tend(k,j,i) = tend(k,j,i) + & |
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| 175 | ( -0.5_wp * ( ( u(k,j,i+1) - gu ) * & |
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| 176 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
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| 177 | - ( u(k,j,i) - gu ) * & |
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| 178 | ( sk(k,j,i-1) - sk(k,j,i) ) & |
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| 179 | ) * ddx & |
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| 180 | -0.5_wp * ( ( v(k,j+1,i) - gv ) * & |
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| 181 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
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| 182 | - ( v(k,j,i) - gv ) * & |
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| 183 | ( sk(k,j-1,i) - sk(k,j,i) ) & |
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| 184 | ) * ddy & |
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| 185 | - ( w(k,j,i) * & |
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| 186 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
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| 187 | - w(k-1,j,i) * & |
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| 188 | ( sk(k-1,j,i) - sk(k,j,i) ) & |
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| 189 | ) * dd2zu(k) & |
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| 190 | ) |
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| 191 | ENDDO |
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| 192 | |
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| 193 | END SUBROUTINE advec_s_pw_ij |
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| 194 | |
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| 195 | END MODULE advec_s_pw_mod |
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