| 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 1997-2012 Leibniz University 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: lpm_init_sgs_tke.f90 1037 2012-10-22 14:10:22Z fricke $ |
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| 27 | ! |
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| 28 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 29 | ! code put under GPL (PALM 3.9) |
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| 30 | ! |
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| 31 | ! 849 2012-03-15 10:35:09Z raasch |
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| 32 | ! initial revision (former part of advec_particles) |
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| 33 | ! |
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| 34 | ! |
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| 35 | ! Description: |
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| 36 | ! ------------ |
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| 37 | ! Calculates quantities required for considering the SGS velocity fluctuations |
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| 38 | ! in the particle transport by a stochastic approach. The respective |
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| 39 | ! quantities are: SGS-TKE gradients and horizontally averaged profiles of the |
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| 40 | ! SGS TKE and the resolved-scale velocity variances. |
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| 41 | !------------------------------------------------------------------------------! |
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| 42 | |
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| 43 | USE arrays_3d |
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| 44 | USE control_parameters |
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| 45 | USE grid_variables |
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| 46 | USE indices |
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| 47 | USE particle_attributes |
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| 48 | USE pegrid |
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| 49 | USE statistics |
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| 50 | |
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| 51 | IMPLICIT NONE |
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| 52 | |
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| 53 | INTEGER :: i, j, k |
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| 54 | |
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| 55 | |
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| 56 | ! |
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| 57 | !-- TKE gradient along x and y |
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| 58 | DO i = nxl, nxr |
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| 59 | DO j = nys, nyn |
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| 60 | DO k = nzb, nzt+1 |
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| 61 | |
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| 62 | IF ( k <= nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) .AND. & |
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| 63 | k > nzb_s_inner(j,i+1) ) & |
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| 64 | THEN |
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| 65 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i) ) & |
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| 66 | * ddx |
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| 67 | ELSEIF ( k > nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) & |
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| 68 | .AND. k <= nzb_s_inner(j,i+1) ) & |
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| 69 | THEN |
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| 70 | de_dx(k,j,i) = 2.0 * sgs_wfu_part * ( e(k,j,i) - e(k,j,i-1) ) & |
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| 71 | * ddx |
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| 72 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j,i+1) ) & |
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| 73 | THEN |
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| 74 | de_dx(k,j,i) = 0.0 |
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| 75 | ELSEIF ( k < nzb_s_inner(j,i-1) .AND. k < nzb_s_inner(j,i) ) & |
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| 76 | THEN |
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| 77 | de_dx(k,j,i) = 0.0 |
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| 78 | ELSE |
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| 79 | de_dx(k,j,i) = sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i-1) ) * ddx |
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| 80 | ENDIF |
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| 81 | |
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| 82 | IF ( k <= nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) .AND. & |
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| 83 | k > nzb_s_inner(j+1,i) ) & |
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| 84 | THEN |
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| 85 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j+1,i) - e(k,j,i) ) & |
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| 86 | * ddy |
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| 87 | ELSEIF ( k > nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) & |
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| 88 | .AND. k <= nzb_s_inner(j+1,i) ) & |
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| 89 | THEN |
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| 90 | de_dy(k,j,i) = 2.0 * sgs_wfv_part * ( e(k,j,i) - e(k,j-1,i) ) & |
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| 91 | * ddy |
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| 92 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j+1,i) ) & |
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| 93 | THEN |
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| 94 | de_dy(k,j,i) = 0.0 |
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| 95 | ELSEIF ( k < nzb_s_inner(j-1,i) .AND. k < nzb_s_inner(j,i) ) & |
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| 96 | THEN |
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| 97 | de_dy(k,j,i) = 0.0 |
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| 98 | ELSE |
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| 99 | de_dy(k,j,i) = sgs_wfv_part * ( e(k,j+1,i) - e(k,j-1,i) ) * ddy |
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| 100 | ENDIF |
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| 101 | |
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| 102 | ENDDO |
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| 103 | ENDDO |
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| 104 | ENDDO |
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| 105 | |
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| 106 | ! |
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| 107 | !-- TKE gradient along z, including bottom and top boundary conditions |
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| 108 | DO i = nxl, nxr |
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| 109 | DO j = nys, nyn |
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| 110 | |
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| 111 | DO k = nzb_s_inner(j,i)+2, nzt-1 |
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| 112 | de_dz(k,j,i) = 2.0 * sgs_wfw_part * & |
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| 113 | ( e(k+1,j,i) - e(k-1,j,i) ) / ( zu(k+1)-zu(k-1) ) |
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| 114 | ENDDO |
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| 115 | |
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| 116 | k = nzb_s_inner(j,i) |
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| 117 | de_dz(nzb:k,j,i) = 0.0 |
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| 118 | 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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| 119 | / ( zu(k+2) - zu(k+1) ) |
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| 120 | de_dz(nzt,j,i) = 0.0 |
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| 121 | de_dz(nzt+1,j,i) = 0.0 |
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| 122 | ENDDO |
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| 123 | ENDDO |
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| 124 | |
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| 125 | |
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| 126 | ! |
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| 127 | !-- Lateral boundary conditions |
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| 128 | CALL exchange_horiz( de_dx, nbgp ) |
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| 129 | CALL exchange_horiz( de_dy, nbgp ) |
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| 130 | CALL exchange_horiz( de_dz, nbgp ) |
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| 131 | CALL exchange_horiz( diss, nbgp ) |
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| 132 | |
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| 133 | |
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| 134 | ! |
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| 135 | !-- Calculate the horizontally averaged profiles of SGS TKE and resolved |
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| 136 | !-- velocity variances (they may have been already calculated in routine |
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| 137 | !-- flow_statistics). |
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| 138 | IF ( .NOT. flow_statistics_called ) THEN |
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| 139 | |
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| 140 | ! |
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| 141 | !-- First calculate horizontally averaged profiles of the horizontal |
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| 142 | !-- velocities. |
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| 143 | sums_l(:,1,0) = 0.0 |
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| 144 | sums_l(:,2,0) = 0.0 |
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| 145 | |
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| 146 | DO i = nxl, nxr |
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| 147 | DO j = nys, nyn |
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| 148 | DO k = nzb_s_outer(j,i), nzt+1 |
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| 149 | sums_l(k,1,0) = sums_l(k,1,0) + u(k,j,i) |
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| 150 | sums_l(k,2,0) = sums_l(k,2,0) + v(k,j,i) |
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| 151 | ENDDO |
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| 152 | ENDDO |
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| 153 | ENDDO |
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| 154 | |
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| 155 | #if defined( __parallel ) |
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| 156 | ! |
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| 157 | !-- Compute total sum from local sums |
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| 158 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 159 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, & |
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| 160 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 161 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 162 | CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, & |
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| 163 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 164 | #else |
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| 165 | sums(:,1) = sums_l(:,1,0) |
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| 166 | sums(:,2) = sums_l(:,2,0) |
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| 167 | #endif |
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| 168 | |
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| 169 | ! |
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| 170 | !-- Final values are obtained by division by the total number of grid |
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| 171 | !-- points used for the summation. |
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| 172 | hom(:,1,1,0) = sums(:,1) / ngp_2dh_outer(:,0) ! u |
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| 173 | hom(:,1,2,0) = sums(:,2) / ngp_2dh_outer(:,0) ! v |
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| 174 | |
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| 175 | ! |
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| 176 | !-- Now calculate the profiles of SGS TKE and the resolved-scale |
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| 177 | !-- velocity variances |
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| 178 | sums_l(:,8,0) = 0.0 |
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| 179 | sums_l(:,30,0) = 0.0 |
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| 180 | sums_l(:,31,0) = 0.0 |
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| 181 | sums_l(:,32,0) = 0.0 |
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| 182 | DO i = nxl, nxr |
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| 183 | DO j = nys, nyn |
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| 184 | DO k = nzb_s_outer(j,i), nzt+1 |
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| 185 | sums_l(k,8,0) = sums_l(k,8,0) + e(k,j,i) |
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| 186 | sums_l(k,30,0) = sums_l(k,30,0) + ( u(k,j,i) - hom(k,1,1,0) )**2 |
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| 187 | sums_l(k,31,0) = sums_l(k,31,0) + ( v(k,j,i) - hom(k,1,2,0) )**2 |
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| 188 | sums_l(k,32,0) = sums_l(k,32,0) + w(k,j,i)**2 |
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| 189 | ENDDO |
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| 190 | ENDDO |
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| 191 | ENDDO |
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| 192 | |
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| 193 | #if defined( __parallel ) |
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| 194 | ! |
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| 195 | !-- Compute total sum from local sums |
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| 196 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 197 | CALL MPI_ALLREDUCE( sums_l(nzb,8,0), sums(nzb,8), nzt+2-nzb, & |
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| 198 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 199 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 200 | CALL MPI_ALLREDUCE( sums_l(nzb,30,0), sums(nzb,30), nzt+2-nzb, & |
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| 201 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 202 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 203 | CALL MPI_ALLREDUCE( sums_l(nzb,31,0), sums(nzb,31), nzt+2-nzb, & |
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| 204 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 205 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 206 | CALL MPI_ALLREDUCE( sums_l(nzb,32,0), sums(nzb,32), nzt+2-nzb, & |
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| 207 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
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| 208 | |
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| 209 | #else |
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| 210 | sums(:,8) = sums_l(:,8,0) |
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| 211 | sums(:,30) = sums_l(:,30,0) |
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| 212 | sums(:,31) = sums_l(:,31,0) |
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| 213 | sums(:,32) = sums_l(:,32,0) |
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| 214 | #endif |
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| 215 | |
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| 216 | ! |
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| 217 | !-- Final values are obtained by division by the total number of grid |
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| 218 | !-- points used for the summation. |
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| 219 | hom(:,1,8,0) = sums(:,8) / ngp_2dh_outer(:,0) ! e |
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| 220 | hom(:,1,30,0) = sums(:,30) / ngp_2dh_outer(:,0) ! u*2 |
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| 221 | hom(:,1,31,0) = sums(:,31) / ngp_2dh_outer(:,0) ! v*2 |
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| 222 | hom(:,1,32,0) = sums(:,32) / ngp_2dh_outer(:,0) ! w*2 |
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| 223 | |
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| 224 | ENDIF |
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| 225 | |
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| 226 | END SUBROUTINE lpm_init_sgs_tke |
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