| 1 | SUBROUTINE lpm_init_sgs_tke |
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| 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later 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 1997-2014 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 | ! ONLY-attribute added to USE-statements, |
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| 23 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 24 | ! kinds are defined in new module kinds, |
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| 25 | ! comment fields (!:) to be used for variable explanations added to |
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| 26 | ! all variable declaration statements |
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| 27 | ! |
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| 28 | ! Former revisions: |
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| 29 | ! ----------------- |
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| 30 | ! $Id: lpm_init_sgs_tke.f90 1320 2014-03-20 08:40:49Z raasch $ |
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| 31 | ! |
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| 32 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 33 | ! code put under GPL (PALM 3.9) |
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| 34 | ! |
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| 35 | ! 849 2012-03-15 10:35:09Z raasch |
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| 36 | ! initial revision (former part of advec_particles) |
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| 37 | ! |
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| 38 | ! |
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| 39 | ! Description: |
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| 40 | ! ------------ |
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| 41 | ! Calculates quantities required for considering the SGS velocity fluctuations |
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| 42 | ! in the particle transport by a stochastic approach. The respective |
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| 43 | ! quantities are: SGS-TKE gradients and horizontally averaged profiles of the |
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| 44 | ! SGS TKE and the resolved-scale velocity variances. |
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| 45 | !------------------------------------------------------------------------------! |
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| 46 | |
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| 47 | USE arrays_3d, & |
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| 48 | ONLY: de_dx, de_dy, de_dz, diss, e, u, v, w, zu |
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| 49 | |
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| 50 | USE grid_variables, & |
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| 51 | ONLY: ddx, ddy |
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| 52 | |
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| 53 | USE indices, & |
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| 54 | ONLY: nbgp, ngp_2dh_outer, nx, nxl, nxr, ny, nyn, nys, nz, nzb, & |
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| 55 | nzb_s_inner, nzb_s_outer, nzt |
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| 56 | |
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| 57 | USE kinds |
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| 58 | |
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| 59 | USE particle_attributes, & |
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| 60 | ONLY: sgs_wfu_part, sgs_wfv_part, sgs_wfw_part |
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| 61 | |
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| 62 | USE pegrid |
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| 63 | |
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| 64 | USE statistics, & |
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| 65 | ONLY: flow_statistics_called, hom, sums, sums_l |
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| 66 | |
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| 67 | IMPLICIT NONE |
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| 68 | |
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| 69 | INTEGER(iwp) :: i !: |
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| 70 | INTEGER(iwp) :: j !: |
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| 71 | INTEGER(iwp) :: k !: |
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| 72 | |
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| 73 | |
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| 74 | ! |
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| 75 | !-- TKE gradient along x and y |
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| 76 | DO i = nxl, nxr |
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| 77 | DO j = nys, nyn |
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| 78 | DO k = nzb, nzt+1 |
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| 79 | |
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| 80 | IF ( k <= nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) .AND. & |
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| 81 | k > nzb_s_inner(j,i+1) ) & |
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| 82 | THEN |
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| 83 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i) ) & |
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| 84 | * ddx |
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| 85 | ELSEIF ( k > nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) & |
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| 86 | .AND. k <= nzb_s_inner(j,i+1) ) & |
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| 87 | THEN |
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| 88 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i) - e(k,j,i-1) ) & |
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| 89 | * ddx |
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| 90 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j,i+1) ) & |
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| 91 | THEN |
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| 92 | de_dx(k,j,i) = 0.0 |
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| 93 | ELSEIF ( k < nzb_s_inner(j,i-1) .AND. k < nzb_s_inner(j,i) ) & |
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| 94 | THEN |
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| 95 | de_dx(k,j,i) = 0.0 |
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| 96 | ELSE |
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| 97 | de_dx(k,j,i) = sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i-1) ) * ddx |
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| 98 | ENDIF |
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| 99 | |
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| 100 | IF ( k <= nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) .AND. & |
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| 101 | k > nzb_s_inner(j+1,i) ) & |
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| 102 | THEN |
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| 103 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j+1,i) - e(k,j,i) ) & |
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| 104 | * ddy |
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| 105 | ELSEIF ( k > nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) & |
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| 106 | .AND. k <= nzb_s_inner(j+1,i) ) & |
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| 107 | THEN |
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| 108 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j,i) - e(k,j-1,i) ) & |
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| 109 | * ddy |
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| 110 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j+1,i) ) & |
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| 111 | THEN |
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| 112 | de_dy(k,j,i) = 0.0 |
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| 113 | ELSEIF ( k < nzb_s_inner(j-1,i) .AND. k < nzb_s_inner(j,i) ) & |
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| 114 | THEN |
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| 115 | de_dy(k,j,i) = 0.0 |
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| 116 | ELSE |
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| 117 | de_dy(k,j,i) = sgs_wfv_part * ( e(k,j+1,i) - e(k,j-1,i) ) * ddy |
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| 118 | ENDIF |
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| 119 | |
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| 120 | ENDDO |
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| 121 | ENDDO |
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| 122 | ENDDO |
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| 123 | |
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| 124 | ! |
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| 125 | !-- TKE gradient along z, including bottom and top boundary conditions |
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| 126 | DO i = nxl, nxr |
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| 127 | DO j = nys, nyn |
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| 128 | |
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| 129 | DO k = nzb_s_inner(j,i)+2, nzt-1 |
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| 130 | de_dz(k,j,i) = 2.0 * sgs_wfw_part * & |
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| 131 | ( e(k+1,j,i) - e(k-1,j,i) ) / ( zu(k+1)-zu(k-1) ) |
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| 132 | ENDDO |
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| 133 | |
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| 134 | k = nzb_s_inner(j,i) |
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| 135 | de_dz(nzb:k,j,i) = 0.0 |
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| 136 | de_dz(k+1,j,i) = 2.0 * sgs_wfw_part * ( e(k+2,j,i) - e(k+1,j,i) ) & |
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| 137 | / ( zu(k+2) - zu(k+1) ) |
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| 138 | de_dz(nzt,j,i) = 0.0 |
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| 139 | de_dz(nzt+1,j,i) = 0.0 |
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| 140 | ENDDO |
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| 141 | ENDDO |
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| 142 | |
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| 143 | |
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| 144 | ! |
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| 145 | !-- Lateral boundary conditions |
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| 146 | CALL exchange_horiz( de_dx, nbgp ) |
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| 147 | CALL exchange_horiz( de_dy, nbgp ) |
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| 148 | CALL exchange_horiz( de_dz, nbgp ) |
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| 149 | CALL exchange_horiz( diss, nbgp ) |
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| 150 | |
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| 151 | |
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| 152 | ! |
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| 153 | !-- Calculate the horizontally averaged profiles of SGS TKE and resolved |
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| 154 | !-- velocity variances (they may have been already calculated in routine |
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| 155 | !-- flow_statistics). |
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| 156 | IF ( .NOT. flow_statistics_called ) THEN |
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| 157 | |
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| 158 | ! |
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| 159 | !-- First calculate horizontally averaged profiles of the horizontal |
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| 160 | !-- velocities. |
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| 161 | sums_l(:,1,0) = 0.0 |
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| 162 | sums_l(:,2,0) = 0.0 |
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| 163 | |
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| 164 | DO i = nxl, nxr |
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| 165 | DO j = nys, nyn |
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| 166 | DO k = nzb_s_outer(j,i), nzt+1 |
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| 167 | sums_l(k,1,0) = sums_l(k,1,0) + u(k,j,i) |
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| 168 | sums_l(k,2,0) = sums_l(k,2,0) + v(k,j,i) |
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| 169 | ENDDO |
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| 170 | ENDDO |
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| 171 | ENDDO |
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| 172 | |
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| 173 | #if defined( __parallel ) |
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| 174 | ! |
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| 175 | !-- Compute total sum from local sums |
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| 176 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 177 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, & |
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| 178 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 179 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 180 | CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, & |
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| 181 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 182 | #else |
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| 183 | sums(:,1) = sums_l(:,1,0) |
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| 184 | sums(:,2) = sums_l(:,2,0) |
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| 185 | #endif |
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| 186 | |
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| 187 | ! |
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| 188 | !-- Final values are obtained by division by the total number of grid |
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| 189 | !-- points used for the summation. |
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| 190 | hom(:,1,1,0) = sums(:,1) / ngp_2dh_outer(:,0) ! u |
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| 191 | hom(:,1,2,0) = sums(:,2) / ngp_2dh_outer(:,0) ! v |
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| 192 | |
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| 193 | ! |
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| 194 | !-- Now calculate the profiles of SGS TKE and the resolved-scale |
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| 195 | !-- velocity variances |
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| 196 | sums_l(:,8,0) = 0.0 |
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| 197 | sums_l(:,30,0) = 0.0 |
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| 198 | sums_l(:,31,0) = 0.0 |
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| 199 | sums_l(:,32,0) = 0.0 |
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| 200 | DO i = nxl, nxr |
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| 201 | DO j = nys, nyn |
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| 202 | DO k = nzb_s_outer(j,i), nzt+1 |
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| 203 | sums_l(k,8,0) = sums_l(k,8,0) + e(k,j,i) |
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| 204 | sums_l(k,30,0) = sums_l(k,30,0) + ( u(k,j,i) - hom(k,1,1,0) )**2 |
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| 205 | sums_l(k,31,0) = sums_l(k,31,0) + ( v(k,j,i) - hom(k,1,2,0) )**2 |
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| 206 | sums_l(k,32,0) = sums_l(k,32,0) + w(k,j,i)**2 |
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| 207 | ENDDO |
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| 208 | ENDDO |
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| 209 | ENDDO |
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| 210 | |
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| 211 | #if defined( __parallel ) |
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| 212 | ! |
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| 213 | !-- Compute total sum from local sums |
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| 214 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 215 | CALL MPI_ALLREDUCE( sums_l(nzb,8,0), sums(nzb,8), nzt+2-nzb, & |
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| 216 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 217 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 218 | CALL MPI_ALLREDUCE( sums_l(nzb,30,0), sums(nzb,30), nzt+2-nzb, & |
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| 219 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 220 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 221 | CALL MPI_ALLREDUCE( sums_l(nzb,31,0), sums(nzb,31), nzt+2-nzb, & |
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| 222 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 223 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 224 | CALL MPI_ALLREDUCE( sums_l(nzb,32,0), sums(nzb,32), nzt+2-nzb, & |
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| 225 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 226 | |
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| 227 | #else |
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| 228 | sums(:,8) = sums_l(:,8,0) |
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| 229 | sums(:,30) = sums_l(:,30,0) |
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| 230 | sums(:,31) = sums_l(:,31,0) |
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| 231 | sums(:,32) = sums_l(:,32,0) |
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| 232 | #endif |
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| 233 | |
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| 234 | ! |
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| 235 | !-- Final values are obtained by division by the total number of grid |
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| 236 | !-- points used for the summation. |
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| 237 | hom(:,1,8,0) = sums(:,8) / ngp_2dh_outer(:,0) ! e |
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| 238 | hom(:,1,30,0) = sums(:,30) / ngp_2dh_outer(:,0) ! u*2 |
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| 239 | hom(:,1,31,0) = sums(:,31) / ngp_2dh_outer(:,0) ! v*2 |
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| 240 | hom(:,1,32,0) = sums(:,32) / ngp_2dh_outer(:,0) ! w*2 |
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| 241 | |
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| 242 | ENDIF |
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| 243 | |
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| 244 | END SUBROUTINE lpm_init_sgs_tke |
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