| 1 | !> @file diffusion_w.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 |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
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| 18 | !------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_w.f90 4182 2019-08-22 15:20:23Z scharf $ |
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| 27 | ! Corrected "Former revisions" section |
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| 28 | ! |
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| 29 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 30 | ! OpenACC port for SPEC |
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| 31 | ! |
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| 32 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 33 | ! Initial revision |
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| 34 | ! |
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| 35 | ! |
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| 36 | ! Description: |
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| 37 | ! ------------ |
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| 38 | !> Diffusion term of the w-component |
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| 39 | !------------------------------------------------------------------------------! |
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| 40 | MODULE diffusion_w_mod |
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| 41 | |
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| 42 | |
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| 43 | PRIVATE |
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| 44 | PUBLIC diffusion_w |
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| 45 | |
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| 46 | INTERFACE diffusion_w |
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| 47 | MODULE PROCEDURE diffusion_w |
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| 48 | MODULE PROCEDURE diffusion_w_ij |
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| 49 | END INTERFACE diffusion_w |
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| 50 | |
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| 51 | CONTAINS |
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| 52 | |
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| 53 | |
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| 54 | !------------------------------------------------------------------------------! |
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| 55 | ! Description: |
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| 56 | ! ------------ |
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| 57 | !> Call for all grid points |
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| 58 | !------------------------------------------------------------------------------! |
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| 59 | SUBROUTINE diffusion_w |
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| 60 | |
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| 61 | USE arrays_3d, & |
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| 62 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 63 | |
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| 64 | USE grid_variables, & |
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| 65 | ONLY : ddx, ddy |
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| 66 | |
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| 67 | USE indices, & |
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| 68 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
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| 69 | |
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| 70 | USE kinds |
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| 71 | |
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| 72 | USE surface_mod, & |
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| 73 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 74 | |
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| 75 | IMPLICIT NONE |
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| 76 | |
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| 77 | INTEGER(iwp) :: i !< running index x direction |
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| 78 | INTEGER(iwp) :: j !< running index y direction |
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| 79 | INTEGER(iwp) :: k !< running index z direction |
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| 80 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 81 | INTEGER(iwp) :: m !< running index surface elements |
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| 82 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 83 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 84 | |
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| 85 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 86 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
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| 87 | REAL(wp) :: kmxp !<diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
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| 88 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
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| 89 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
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| 90 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 91 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 92 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 93 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 94 | |
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| 95 | |
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| 96 | |
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| 97 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) & |
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| 98 | !$ACC PRIVATE(surf_e, surf_s, flag, kmxm, kmxp, kmym, kmyp) & |
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| 99 | !$ACC PRIVATE(mask_west, mask_east, mask_south, mask_north) & |
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| 100 | !$ACC PRESENT(wall_flags_0, km) & |
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| 101 | !$ACC PRESENT(u, v, w) & |
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| 102 | !$ACC PRESENT(ddzu, ddzw, rho_air, drho_air_zw) & |
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| 103 | !$ACC PRESENT(surf_def_v(0:3)) & |
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| 104 | !$ACC PRESENT(surf_lsm_v(0:3)) & |
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| 105 | !$ACC PRESENT(surf_usm_v(0:3)) & |
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| 106 | !$ACC PRESENT(tend) |
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| 107 | DO i = nxl, nxr |
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| 108 | DO j = nys, nyn |
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| 109 | DO k = nzb+1, nzt-1 |
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| 110 | ! |
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| 111 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 112 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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| 113 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
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| 114 | mask_east = MERGE( 1.0_wp, 0.0_wp, & |
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| 115 | BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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| 116 | mask_west = MERGE( 1.0_wp, 0.0_wp, & |
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| 117 | BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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| 118 | mask_south = MERGE( 1.0_wp, 0.0_wp, & |
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| 119 | BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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| 120 | mask_north = MERGE( 1.0_wp, 0.0_wp, & |
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| 121 | BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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| 122 | ! |
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| 123 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 124 | kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & |
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| 125 | km(k+1,j,i) + km(k+1,j,i+1) ) |
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| 126 | kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & |
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| 127 | km(k+1,j,i) + km(k+1,j,i-1) ) |
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| 128 | kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 129 | km(k,j+1,i) + km(k+1,j+1,i) ) |
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| 130 | kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 131 | km(k,j-1,i) + km(k+1,j-1,i) ) |
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| 132 | |
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| 133 | tend(k,j,i) = tend(k,j,i) & |
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| 134 | + ( mask_east * kmxp * ( & |
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| 135 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 136 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 137 | ) & |
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| 138 | - mask_west * kmxm * ( & |
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| 139 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 140 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 141 | ) & |
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| 142 | ) * ddx * flag & |
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| 143 | + ( mask_north * kmyp * ( & |
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| 144 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 145 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 146 | ) & |
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| 147 | - mask_south * kmym * ( & |
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| 148 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 149 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 150 | ) & |
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| 151 | ) * ddy * flag & |
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| 152 | + 2.0_wp * ( & |
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| 153 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 154 | * rho_air(k+1) & |
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| 155 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 156 | * rho_air(k) & |
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| 157 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 158 | ENDDO |
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| 159 | |
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| 160 | ! |
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| 161 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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| 162 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 163 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 164 | !-- so far. |
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| 165 | !-- Default-type surfaces |
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| 166 | DO l = 0, 1 |
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| 167 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 168 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 169 | DO m = surf_s, surf_e |
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| 170 | k = surf_def_v(l)%k(m) |
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| 171 | tend(k,j,i) = tend(k,j,i) + & |
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| 172 | surf_def_v(l)%mom_flux_w(m) * ddy |
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| 173 | ENDDO |
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| 174 | ENDDO |
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| 175 | ! |
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| 176 | !-- Natural-type surfaces |
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| 177 | DO l = 0, 1 |
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| 178 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 179 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 180 | DO m = surf_s, surf_e |
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| 181 | k = surf_lsm_v(l)%k(m) |
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| 182 | tend(k,j,i) = tend(k,j,i) + & |
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| 183 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 184 | ENDDO |
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| 185 | ENDDO |
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| 186 | ! |
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| 187 | !-- Urban-type surfaces |
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| 188 | DO l = 0, 1 |
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| 189 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 190 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 191 | DO m = surf_s, surf_e |
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| 192 | k = surf_usm_v(l)%k(m) |
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| 193 | tend(k,j,i) = tend(k,j,i) + & |
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| 194 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 195 | ENDDO |
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| 196 | ENDDO |
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| 197 | ! |
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| 198 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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| 199 | !-- surface. |
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| 200 | !-- Default-type surfaces |
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| 201 | DO l = 2, 3 |
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| 202 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 203 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 204 | DO m = surf_s, surf_e |
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| 205 | k = surf_def_v(l)%k(m) |
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| 206 | tend(k,j,i) = tend(k,j,i) + & |
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| 207 | surf_def_v(l)%mom_flux_w(m) * ddx |
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| 208 | ENDDO |
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| 209 | ENDDO |
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| 210 | ! |
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| 211 | !-- Natural-type surfaces |
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| 212 | DO l = 2, 3 |
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| 213 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 214 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 215 | DO m = surf_s, surf_e |
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| 216 | k = surf_lsm_v(l)%k(m) |
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| 217 | tend(k,j,i) = tend(k,j,i) + & |
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| 218 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 219 | ENDDO |
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| 220 | ENDDO |
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| 221 | ! |
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| 222 | !-- Urban-type surfaces |
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| 223 | DO l = 2, 3 |
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| 224 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 225 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 226 | DO m = surf_s, surf_e |
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| 227 | k = surf_usm_v(l)%k(m) |
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| 228 | tend(k,j,i) = tend(k,j,i) + & |
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| 229 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 230 | ENDDO |
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| 231 | ENDDO |
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| 232 | |
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| 233 | ENDDO |
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| 234 | ENDDO |
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| 235 | |
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| 236 | END SUBROUTINE diffusion_w |
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| 237 | |
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| 238 | |
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| 239 | !------------------------------------------------------------------------------! |
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| 240 | ! Description: |
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| 241 | ! ------------ |
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| 242 | !> Call for grid point i,j |
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| 243 | !------------------------------------------------------------------------------! |
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| 244 | SUBROUTINE diffusion_w_ij( i, j ) |
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| 245 | |
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| 246 | USE arrays_3d, & |
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| 247 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 248 | |
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| 249 | USE grid_variables, & |
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| 250 | ONLY : ddx, ddy |
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| 251 | |
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| 252 | USE indices, & |
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| 253 | ONLY : nzb, nzt, wall_flags_0 |
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| 254 | |
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| 255 | USE kinds |
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| 256 | |
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| 257 | USE surface_mod, & |
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| 258 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 259 | |
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| 260 | IMPLICIT NONE |
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| 261 | |
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| 262 | |
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| 263 | INTEGER(iwp) :: i !< running index x direction |
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| 264 | INTEGER(iwp) :: j !< running index y direction |
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| 265 | INTEGER(iwp) :: k !< running index z direction |
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| 266 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 267 | INTEGER(iwp) :: m !< running index surface elements |
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| 268 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 269 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 270 | |
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| 271 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 272 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
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| 273 | REAL(wp) :: kmxp !< diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
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| 274 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
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| 275 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
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| 276 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 277 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 278 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 279 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 280 | |
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| 281 | |
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| 282 | DO k = nzb+1, nzt-1 |
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| 283 | ! |
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| 284 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 285 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) ) |
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| 286 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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| 287 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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| 288 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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| 289 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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| 290 | ! |
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| 291 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 292 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 293 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 294 | kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 295 | kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 296 | |
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| 297 | tend(k,j,i) = tend(k,j,i) & |
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| 298 | + ( mask_east * kmxp * ( & |
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| 299 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 300 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 301 | ) & |
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| 302 | - mask_west * kmxm * ( & |
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| 303 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 304 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 305 | ) & |
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| 306 | ) * ddx * flag & |
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| 307 | + ( mask_north * kmyp * ( & |
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| 308 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 309 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 310 | ) & |
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| 311 | - mask_south * kmym * ( & |
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| 312 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 313 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 314 | ) & |
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| 315 | ) * ddy * flag & |
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| 316 | + 2.0_wp * ( & |
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| 317 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 318 | * rho_air(k+1) & |
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| 319 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 320 | * rho_air(k) & |
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| 321 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 322 | ENDDO |
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| 323 | ! |
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| 324 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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| 325 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 326 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 327 | !-- so far. |
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| 328 | !-- Default-type surfaces |
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| 329 | DO l = 0, 1 |
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| 330 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 331 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 332 | DO m = surf_s, surf_e |
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| 333 | k = surf_def_v(l)%k(m) |
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| 334 | tend(k,j,i) = tend(k,j,i) + & |
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| 335 | surf_def_v(l)%mom_flux_w(m) * ddy |
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| 336 | ENDDO |
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| 337 | ENDDO |
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| 338 | ! |
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| 339 | !-- Natural-type surfaces |
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| 340 | DO l = 0, 1 |
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| 341 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 342 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 343 | DO m = surf_s, surf_e |
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| 344 | k = surf_lsm_v(l)%k(m) |
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| 345 | tend(k,j,i) = tend(k,j,i) + & |
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| 346 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 347 | ENDDO |
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| 348 | ENDDO |
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| 349 | ! |
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| 350 | !-- Urban-type surfaces |
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| 351 | DO l = 0, 1 |
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| 352 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 353 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 354 | DO m = surf_s, surf_e |
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| 355 | k = surf_usm_v(l)%k(m) |
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| 356 | tend(k,j,i) = tend(k,j,i) + & |
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| 357 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 358 | ENDDO |
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| 359 | ENDDO |
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| 360 | ! |
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| 361 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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| 362 | !-- surfaces. |
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| 363 | !-- Default-type surfaces |
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| 364 | DO l = 2, 3 |
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| 365 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 366 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 367 | DO m = surf_s, surf_e |
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| 368 | k = surf_def_v(l)%k(m) |
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| 369 | tend(k,j,i) = tend(k,j,i) + & |
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| 370 | surf_def_v(l)%mom_flux_w(m) * ddx |
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| 371 | ENDDO |
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| 372 | ENDDO |
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| 373 | ! |
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| 374 | !-- Natural-type surfaces |
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| 375 | DO l = 2, 3 |
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| 376 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 377 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 378 | DO m = surf_s, surf_e |
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| 379 | k = surf_lsm_v(l)%k(m) |
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| 380 | tend(k,j,i) = tend(k,j,i) + & |
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| 381 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 382 | ENDDO |
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| 383 | ENDDO |
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| 384 | ! |
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| 385 | !-- Urban-type surfaces |
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| 386 | DO l = 2, 3 |
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| 387 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 388 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 389 | DO m = surf_s, surf_e |
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| 390 | k = surf_usm_v(l)%k(m) |
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| 391 | tend(k,j,i) = tend(k,j,i) + & |
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| 392 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 393 | ENDDO |
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| 394 | ENDDO |
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| 395 | |
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| 396 | |
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| 397 | END SUBROUTINE diffusion_w_ij |
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| 398 | |
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| 399 | END MODULE diffusion_w_mod |
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