| 1 | !> @file lpm_init_sgs_tke.f90 |
|---|
| 2 | !--------------------------------------------------------------------------------! |
|---|
| 3 | ! This file is part of PALM. |
|---|
| 4 | ! |
|---|
| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
|---|
| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
|---|
| 7 | ! either version 3 of the License, or (at your option) any later version. |
|---|
| 8 | ! |
|---|
| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
|---|
| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
|---|
| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
|---|
| 12 | ! |
|---|
| 13 | ! You should have received a copy of the GNU General Public License along with |
|---|
| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
|---|
| 15 | ! |
|---|
| 16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
|---|
| 17 | !--------------------------------------------------------------------------------! |
|---|
| 18 | ! |
|---|
| 19 | ! Current revisions: |
|---|
| 20 | ! ------------------ |
|---|
| 21 | ! |
|---|
| 22 | ! |
|---|
| 23 | ! Former revisions: |
|---|
| 24 | ! ----------------- |
|---|
| 25 | ! $Id: lpm_init_sgs_tke.f90 1823 2016-04-07 08:57:52Z hoffmann $ |
|---|
| 26 | ! |
|---|
| 27 | ! 1822 2016-04-07 07:49:42Z hoffmann |
|---|
| 28 | ! Unused variables removed. |
|---|
| 29 | ! |
|---|
| 30 | ! 1682 2015-10-07 23:56:08Z knoop |
|---|
| 31 | ! Code annotations made doxygen readable |
|---|
| 32 | ! |
|---|
| 33 | ! 1359 2014-04-11 17:15:14Z hoffmann |
|---|
| 34 | ! New particle structure integrated. |
|---|
| 35 | ! Kind definition added to all floating point numbers. |
|---|
| 36 | ! |
|---|
| 37 | ! 1320 2014-03-20 08:40:49Z raasch |
|---|
| 38 | ! ONLY-attribute added to USE-statements, |
|---|
| 39 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
|---|
| 40 | ! kinds are defined in new module kinds, |
|---|
| 41 | ! comment fields (!:) to be used for variable explanations added to |
|---|
| 42 | ! all variable declaration statements |
|---|
| 43 | ! |
|---|
| 44 | ! 1036 2012-10-22 13:43:42Z raasch |
|---|
| 45 | ! code put under GPL (PALM 3.9) |
|---|
| 46 | ! |
|---|
| 47 | ! 849 2012-03-15 10:35:09Z raasch |
|---|
| 48 | ! initial revision (former part of advec_particles) |
|---|
| 49 | ! |
|---|
| 50 | ! |
|---|
| 51 | ! Description: |
|---|
| 52 | ! ------------ |
|---|
| 53 | !> Calculates quantities required for considering the SGS velocity fluctuations |
|---|
| 54 | !> in the particle transport by a stochastic approach. The respective |
|---|
| 55 | !> quantities are: SGS-TKE gradients and horizontally averaged profiles of the |
|---|
| 56 | !> SGS TKE and the resolved-scale velocity variances. |
|---|
| 57 | !------------------------------------------------------------------------------! |
|---|
| 58 | SUBROUTINE lpm_init_sgs_tke |
|---|
| 59 | |
|---|
| 60 | |
|---|
| 61 | USE arrays_3d, & |
|---|
| 62 | ONLY: de_dx, de_dy, de_dz, diss, e, u, v, w, zu |
|---|
| 63 | |
|---|
| 64 | USE grid_variables, & |
|---|
| 65 | ONLY: ddx, ddy |
|---|
| 66 | |
|---|
| 67 | USE indices, & |
|---|
| 68 | ONLY: nbgp, ngp_2dh_outer, nxl, nxr, nyn, nys, nzb, nzb_s_inner, & |
|---|
| 69 | nzb_s_outer, nzt |
|---|
| 70 | |
|---|
| 71 | USE kinds |
|---|
| 72 | |
|---|
| 73 | USE particle_attributes, & |
|---|
| 74 | ONLY: sgs_wfu_part, sgs_wfv_part, sgs_wfw_part |
|---|
| 75 | |
|---|
| 76 | USE pegrid |
|---|
| 77 | |
|---|
| 78 | USE statistics, & |
|---|
| 79 | ONLY: flow_statistics_called, hom, sums, sums_l |
|---|
| 80 | |
|---|
| 81 | IMPLICIT NONE |
|---|
| 82 | |
|---|
| 83 | INTEGER(iwp) :: i !< |
|---|
| 84 | INTEGER(iwp) :: j !< |
|---|
| 85 | INTEGER(iwp) :: k !< |
|---|
| 86 | |
|---|
| 87 | |
|---|
| 88 | ! |
|---|
| 89 | !-- TKE gradient along x and y |
|---|
| 90 | DO i = nxl, nxr |
|---|
| 91 | DO j = nys, nyn |
|---|
| 92 | DO k = nzb, nzt+1 |
|---|
| 93 | |
|---|
| 94 | IF ( k <= nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) .AND. & |
|---|
| 95 | k > nzb_s_inner(j,i+1) ) & |
|---|
| 96 | THEN |
|---|
| 97 | de_dx(k,j,i) = 2.0_wp * sgs_wfu_part * & |
|---|
| 98 | ( e(k,j,i+1) - e(k,j,i) ) * ddx |
|---|
| 99 | ELSEIF ( k > nzb_s_inner(j,i-1) .AND. k > nzb_s_inner(j,i) & |
|---|
| 100 | .AND. k <= nzb_s_inner(j,i+1) ) & |
|---|
| 101 | THEN |
|---|
| 102 | de_dx(k,j,i) = 2.0_wp * sgs_wfu_part * & |
|---|
| 103 | ( e(k,j,i) - e(k,j,i-1) ) * ddx |
|---|
| 104 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j,i+1) ) & |
|---|
| 105 | THEN |
|---|
| 106 | de_dx(k,j,i) = 0.0_wp |
|---|
| 107 | ELSEIF ( k < nzb_s_inner(j,i-1) .AND. k < nzb_s_inner(j,i) ) & |
|---|
| 108 | THEN |
|---|
| 109 | de_dx(k,j,i) = 0.0_wp |
|---|
| 110 | ELSE |
|---|
| 111 | de_dx(k,j,i) = sgs_wfu_part * ( e(k,j,i+1) - e(k,j,i-1) ) * ddx |
|---|
| 112 | ENDIF |
|---|
| 113 | |
|---|
| 114 | IF ( k <= nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) .AND. & |
|---|
| 115 | k > nzb_s_inner(j+1,i) ) & |
|---|
| 116 | THEN |
|---|
| 117 | de_dy(k,j,i) = 2.0_wp * sgs_wfv_part * & |
|---|
| 118 | ( e(k,j+1,i) - e(k,j,i) ) * ddy |
|---|
| 119 | ELSEIF ( k > nzb_s_inner(j-1,i) .AND. k > nzb_s_inner(j,i) & |
|---|
| 120 | .AND. k <= nzb_s_inner(j+1,i) ) & |
|---|
| 121 | THEN |
|---|
| 122 | de_dy(k,j,i) = 2.0_wp * sgs_wfv_part * & |
|---|
| 123 | ( e(k,j,i) - e(k,j-1,i) ) * ddy |
|---|
| 124 | ELSEIF ( k < nzb_s_inner(j,i) .AND. k < nzb_s_inner(j+1,i) ) & |
|---|
| 125 | THEN |
|---|
| 126 | de_dy(k,j,i) = 0.0_wp |
|---|
| 127 | ELSEIF ( k < nzb_s_inner(j-1,i) .AND. k < nzb_s_inner(j,i) ) & |
|---|
| 128 | THEN |
|---|
| 129 | de_dy(k,j,i) = 0.0_wp |
|---|
| 130 | ELSE |
|---|
| 131 | de_dy(k,j,i) = sgs_wfv_part * ( e(k,j+1,i) - e(k,j-1,i) ) * ddy |
|---|
| 132 | ENDIF |
|---|
| 133 | |
|---|
| 134 | ENDDO |
|---|
| 135 | ENDDO |
|---|
| 136 | ENDDO |
|---|
| 137 | |
|---|
| 138 | ! |
|---|
| 139 | !-- TKE gradient along z, including bottom and top boundary conditions |
|---|
| 140 | DO i = nxl, nxr |
|---|
| 141 | DO j = nys, nyn |
|---|
| 142 | |
|---|
| 143 | DO k = nzb_s_inner(j,i)+2, nzt-1 |
|---|
| 144 | de_dz(k,j,i) = 2.0_wp * sgs_wfw_part * & |
|---|
| 145 | ( e(k+1,j,i) - e(k-1,j,i) ) / ( zu(k+1)-zu(k-1) ) |
|---|
| 146 | ENDDO |
|---|
| 147 | |
|---|
| 148 | k = nzb_s_inner(j,i) |
|---|
| 149 | de_dz(nzb:k,j,i) = 0.0_wp |
|---|
| 150 | de_dz(k+1,j,i) = 2.0_wp * sgs_wfw_part * & |
|---|
| 151 | ( e(k+2,j,i) - e(k+1,j,i) ) / ( zu(k+2) - zu(k+1) ) |
|---|
| 152 | de_dz(nzt,j,i) = 0.0_wp |
|---|
| 153 | de_dz(nzt+1,j,i) = 0.0_wp |
|---|
| 154 | ENDDO |
|---|
| 155 | ENDDO |
|---|
| 156 | |
|---|
| 157 | |
|---|
| 158 | ! |
|---|
| 159 | !-- Lateral boundary conditions |
|---|
| 160 | CALL exchange_horiz( de_dx, nbgp ) |
|---|
| 161 | CALL exchange_horiz( de_dy, nbgp ) |
|---|
| 162 | CALL exchange_horiz( de_dz, nbgp ) |
|---|
| 163 | CALL exchange_horiz( diss, nbgp ) |
|---|
| 164 | |
|---|
| 165 | |
|---|
| 166 | ! |
|---|
| 167 | !-- Calculate the horizontally averaged profiles of SGS TKE and resolved |
|---|
| 168 | !-- velocity variances (they may have been already calculated in routine |
|---|
| 169 | !-- flow_statistics). |
|---|
| 170 | IF ( .NOT. flow_statistics_called ) THEN |
|---|
| 171 | |
|---|
| 172 | ! |
|---|
| 173 | !-- First calculate horizontally averaged profiles of the horizontal |
|---|
| 174 | !-- velocities. |
|---|
| 175 | sums_l(:,1,0) = 0.0_wp |
|---|
| 176 | sums_l(:,2,0) = 0.0_wp |
|---|
| 177 | |
|---|
| 178 | DO i = nxl, nxr |
|---|
| 179 | DO j = nys, nyn |
|---|
| 180 | DO k = nzb_s_outer(j,i), nzt+1 |
|---|
| 181 | sums_l(k,1,0) = sums_l(k,1,0) + u(k,j,i) |
|---|
| 182 | sums_l(k,2,0) = sums_l(k,2,0) + v(k,j,i) |
|---|
| 183 | ENDDO |
|---|
| 184 | ENDDO |
|---|
| 185 | ENDDO |
|---|
| 186 | |
|---|
| 187 | #if defined( __parallel ) |
|---|
| 188 | ! |
|---|
| 189 | !-- Compute total sum from local sums |
|---|
| 190 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 191 | CALL MPI_ALLREDUCE( sums_l(nzb,1,0), sums(nzb,1), nzt+2-nzb, & |
|---|
| 192 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 193 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 194 | CALL MPI_ALLREDUCE( sums_l(nzb,2,0), sums(nzb,2), nzt+2-nzb, & |
|---|
| 195 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 196 | #else |
|---|
| 197 | sums(:,1) = sums_l(:,1,0) |
|---|
| 198 | sums(:,2) = sums_l(:,2,0) |
|---|
| 199 | #endif |
|---|
| 200 | |
|---|
| 201 | ! |
|---|
| 202 | !-- Final values are obtained by division by the total number of grid |
|---|
| 203 | !-- points used for the summation. |
|---|
| 204 | hom(:,1,1,0) = sums(:,1) / ngp_2dh_outer(:,0) ! u |
|---|
| 205 | hom(:,1,2,0) = sums(:,2) / ngp_2dh_outer(:,0) ! v |
|---|
| 206 | |
|---|
| 207 | ! |
|---|
| 208 | !-- Now calculate the profiles of SGS TKE and the resolved-scale |
|---|
| 209 | !-- velocity variances |
|---|
| 210 | sums_l(:,8,0) = 0.0_wp |
|---|
| 211 | sums_l(:,30,0) = 0.0_wp |
|---|
| 212 | sums_l(:,31,0) = 0.0_wp |
|---|
| 213 | sums_l(:,32,0) = 0.0_wp |
|---|
| 214 | DO i = nxl, nxr |
|---|
| 215 | DO j = nys, nyn |
|---|
| 216 | DO k = nzb_s_outer(j,i), nzt+1 |
|---|
| 217 | sums_l(k,8,0) = sums_l(k,8,0) + e(k,j,i) |
|---|
| 218 | sums_l(k,30,0) = sums_l(k,30,0) + ( u(k,j,i) - hom(k,1,1,0) )**2 |
|---|
| 219 | sums_l(k,31,0) = sums_l(k,31,0) + ( v(k,j,i) - hom(k,1,2,0) )**2 |
|---|
| 220 | sums_l(k,32,0) = sums_l(k,32,0) + w(k,j,i)**2 |
|---|
| 221 | ENDDO |
|---|
| 222 | ENDDO |
|---|
| 223 | ENDDO |
|---|
| 224 | |
|---|
| 225 | #if defined( __parallel ) |
|---|
| 226 | ! |
|---|
| 227 | !-- Compute total sum from local sums |
|---|
| 228 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 229 | CALL MPI_ALLREDUCE( sums_l(nzb,8,0), sums(nzb,8), nzt+2-nzb, & |
|---|
| 230 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 231 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 232 | CALL MPI_ALLREDUCE( sums_l(nzb,30,0), sums(nzb,30), nzt+2-nzb, & |
|---|
| 233 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 234 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 235 | CALL MPI_ALLREDUCE( sums_l(nzb,31,0), sums(nzb,31), nzt+2-nzb, & |
|---|
| 236 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 237 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 238 | CALL MPI_ALLREDUCE( sums_l(nzb,32,0), sums(nzb,32), nzt+2-nzb, & |
|---|
| 239 | MPI_REAL, MPI_SUM, comm2d, ierr ) |
|---|
| 240 | |
|---|
| 241 | #else |
|---|
| 242 | sums(:,8) = sums_l(:,8,0) |
|---|
| 243 | sums(:,30) = sums_l(:,30,0) |
|---|
| 244 | sums(:,31) = sums_l(:,31,0) |
|---|
| 245 | sums(:,32) = sums_l(:,32,0) |
|---|
| 246 | #endif |
|---|
| 247 | |
|---|
| 248 | ! |
|---|
| 249 | !-- Final values are obtained by division by the total number of grid |
|---|
| 250 | !-- points used for the summation. |
|---|
| 251 | hom(:,1,8,0) = sums(:,8) / ngp_2dh_outer(:,0) ! e |
|---|
| 252 | hom(:,1,30,0) = sums(:,30) / ngp_2dh_outer(:,0) ! u*2 |
|---|
| 253 | hom(:,1,31,0) = sums(:,31) / ngp_2dh_outer(:,0) ! v*2 |
|---|
| 254 | hom(:,1,32,0) = sums(:,32) / ngp_2dh_outer(:,0) ! w*2 |
|---|
| 255 | |
|---|
| 256 | ENDIF |
|---|
| 257 | |
|---|
| 258 | END SUBROUTINE lpm_init_sgs_tke |
|---|
