| 1 | !> @file advec_w_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 1997-2020 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_w_pw.f90 4488 2020-04-03 11:34:29Z gronemeier $ |
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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 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 32 | ! variables documented |
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| 33 | ! |
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| 34 | ! Revision 1.1 1997/08/11 06:10:29 raasch |
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| 35 | ! Initial revision |
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| 36 | ! |
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| 37 | ! |
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| 38 | ! Description: |
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| 39 | ! ------------ |
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| 40 | !> Advection term for w velocity-component using Piacsek and Williams. |
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| 41 | !> Vertical advection at the first grid point above the surface is done with normal centred |
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| 42 | !> differences, because otherwise no information from the surface would be communicated upwards due |
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| 43 | !> to w=0 at k=nzb. |
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| 44 | !--------------------------------------------------------------------------------------------------! |
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| 45 | MODULE advec_w_pw_mod |
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| 46 | |
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| 47 | |
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| 48 | PRIVATE |
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| 49 | PUBLIC advec_w_pw |
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| 50 | |
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| 51 | INTERFACE advec_w_pw |
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| 52 | MODULE PROCEDURE advec_w_pw |
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| 53 | MODULE PROCEDURE advec_w_pw_ij |
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| 54 | END INTERFACE advec_w_pw |
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| 55 | |
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| 56 | CONTAINS |
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| 57 | |
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| 58 | |
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| 59 | !--------------------------------------------------------------------------------------------------! |
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| 60 | ! Description: |
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| 61 | ! ------------ |
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| 62 | !> Call for all grid points |
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| 63 | !--------------------------------------------------------------------------------------------------! |
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| 64 | SUBROUTINE advec_w_pw |
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| 65 | |
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| 66 | USE arrays_3d, & |
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| 67 | ONLY: ddzu, tend, u, v, w |
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| 68 | |
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| 69 | USE control_parameters, & |
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| 70 | ONLY: u_gtrans, v_gtrans |
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| 71 | |
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| 72 | USE grid_variables, & |
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| 73 | ONLY: ddx, ddy |
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| 74 | |
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| 75 | USE indices, & |
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| 76 | ONLY: nxl, nxr, nyn, nys, nzb, nzt |
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| 77 | |
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| 78 | USE kinds |
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| 79 | |
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| 80 | |
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| 81 | IMPLICIT NONE |
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| 82 | |
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| 83 | INTEGER(iwp) :: i !< grid index along x-direction |
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| 84 | INTEGER(iwp) :: j !< grid index along y-direction |
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| 85 | INTEGER(iwp) :: k !< grid index along z-direction |
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| 86 | |
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| 87 | REAL(wp) :: gu !< Galilei-transformation velocity along x |
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| 88 | REAL(wp) :: gv !< Galilei-transformation velocity along y |
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| 89 | |
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| 90 | |
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| 91 | gu = 2.0_wp * u_gtrans |
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| 92 | gv = 2.0_wp * v_gtrans |
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| 93 | DO i = nxl, nxr |
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| 94 | DO j = nys, nyn |
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| 95 | DO k = nzb+1, nzt |
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| 96 | tend(k,j,i) = tend(k,j,i) - 0.25_wp * ( & |
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| 97 | ( w(k,j,i+1) * ( u(k+1,j,i+1) + u(k,j,i+1) - gu ) & |
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| 98 | - w(k,j,i-1) * ( u(k+1,j,i) + u(k,j,i) - gu ) ) * ddx & |
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| 99 | + ( w(k,j+1,i) * ( v(k+1,j+1,i) + v(k,j+1,i) - gv ) & |
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| 100 | - w(k,j-1,i) * ( v(k+1,j,i) + v(k,j,i) - gv ) ) * ddy & |
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| 101 | + ( w(k+1,j,i) * ( w(k+1,j,i) + w(k,j,i) ) & |
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| 102 | - w(k-1,j,i) * ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
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| 103 | ) |
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| 104 | ENDDO |
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| 105 | ENDDO |
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| 106 | ENDDO |
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| 107 | |
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| 108 | END SUBROUTINE advec_w_pw |
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| 109 | |
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| 110 | |
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| 111 | !--------------------------------------------------------------------------------------------------! |
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| 112 | ! Description: |
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| 113 | ! ------------ |
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| 114 | !> Call for grid point i,j |
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| 115 | !--------------------------------------------------------------------------------------------------! |
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| 116 | SUBROUTINE advec_w_pw_ij( i, j ) |
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| 117 | |
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| 118 | USE arrays_3d, & |
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| 119 | ONLY: ddzu, tend, u, v, w |
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| 120 | |
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| 121 | USE control_parameters, & |
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| 122 | ONLY: u_gtrans, v_gtrans |
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| 123 | |
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| 124 | USE grid_variables, & |
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| 125 | ONLY: ddx, ddy |
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| 126 | |
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| 127 | USE indices, & |
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| 128 | ONLY: nzb, nzt |
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| 129 | |
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| 130 | USE kinds |
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| 131 | |
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| 132 | |
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| 133 | IMPLICIT NONE |
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| 134 | |
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| 135 | INTEGER(iwp) :: i !< grid index along x-direction |
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| 136 | INTEGER(iwp) :: j !< grid index along y-direction |
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| 137 | INTEGER(iwp) :: k !< grid index along z-direction |
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| 138 | |
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| 139 | REAL(wp) :: gu !< Galilei-transformation velocity along x |
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| 140 | REAL(wp) :: gv !< Galilei-transformation velocity along y |
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| 141 | |
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| 142 | gu = 2.0_wp * u_gtrans |
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| 143 | gv = 2.0_wp * v_gtrans |
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| 144 | DO k = nzb+1, nzt |
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| 145 | tend(k,j,i) = tend(k,j,i) - 0.25_wp * ( & |
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| 146 | ( w(k,j,i+1) * ( u(k+1,j,i+1) + u(k,j,i+1) - gu ) & |
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| 147 | - w(k,j,i-1) * ( u(k+1,j,i) + u(k,j,i) - gu ) ) * ddx & |
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| 148 | + ( w(k,j+1,i) * ( v(k+1,j+1,i) + v(k,j+1,i) - gv ) & |
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| 149 | - w(k,j-1,i) * ( v(k+1,j,i) + v(k,j,i) - gv ) ) * ddy & |
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| 150 | + ( w(k+1,j,i) * ( w(k+1,j,i) + w(k,j,i) ) & |
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| 151 | - w(k-1,j,i) * ( w(k,j,i) + w(k-1,j,i) ) ) * ddzu(k+1) & |
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| 152 | ) |
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| 153 | ENDDO |
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| 154 | END SUBROUTINE advec_w_pw_ij |
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| 155 | |
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| 156 | END MODULE advec_w_pw_mod |
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