| 1 | MODULE diffusion_e_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Current revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: diffusion_e.f90 826 2012-02-19 03:41:34Z maronga $ |
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| 11 | ! |
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| 12 | ! 825 2012-02-19 03:03:44Z raasch |
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| 13 | ! wang_collision_kernel renamed wang_kernel |
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| 14 | ! |
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| 15 | ! 790 2011-11-29 03:11:20Z raasch |
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| 16 | ! diss is also calculated in case that the Wang kernel is used |
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| 17 | ! |
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| 18 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 19 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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| 20 | ! |
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| 21 | ! 97 2007-06-21 08:23:15Z raasch |
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| 22 | ! Adjustment of mixing length calculation for the ocean version. zw added to |
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| 23 | ! argument list. |
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| 24 | ! This is also a bugfix, because the height above the topography is now |
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| 25 | ! used instead of the height above level k=0. |
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| 26 | ! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference |
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| 27 | ! use_pt_reference renamed use_reference |
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| 28 | ! |
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| 29 | ! 65 2007-03-13 12:11:43Z raasch |
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| 30 | ! Reference temperature pt_reference can be used in buoyancy term |
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| 31 | ! |
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| 32 | ! 20 2007-02-26 00:12:32Z raasch |
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| 33 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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| 34 | ! Calculation extended for gridpoint nzt |
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| 35 | ! |
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| 36 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 37 | ! |
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| 38 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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| 39 | ! dissipation is stored in extra array diss if needed later on for calculating |
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| 40 | ! the sgs particle velocities |
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| 41 | ! |
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| 42 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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| 43 | ! Initial revision |
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| 44 | ! |
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| 45 | ! |
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| 46 | ! Description: |
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| 47 | ! ------------ |
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| 48 | ! Diffusion- and dissipation terms for the TKE |
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| 49 | !------------------------------------------------------------------------------! |
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| 50 | |
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| 51 | PRIVATE |
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| 52 | PUBLIC diffusion_e |
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| 53 | |
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| 54 | |
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| 55 | INTERFACE diffusion_e |
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| 56 | MODULE PROCEDURE diffusion_e |
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| 57 | MODULE PROCEDURE diffusion_e_ij |
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| 58 | END INTERFACE diffusion_e |
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| 59 | |
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| 60 | CONTAINS |
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| 61 | |
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| 62 | |
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| 63 | !------------------------------------------------------------------------------! |
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| 64 | ! Call for all grid points |
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| 65 | !------------------------------------------------------------------------------! |
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| 66 | SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, var, & |
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| 67 | var_reference, rif, tend, zu, zw ) |
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| 68 | |
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| 69 | USE control_parameters |
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| 70 | USE grid_variables |
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| 71 | USE indices |
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| 72 | USE particle_attributes |
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| 73 | |
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| 74 | IMPLICIT NONE |
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| 75 | |
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| 76 | INTEGER :: i, j, k |
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| 77 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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| 78 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), & |
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| 79 | l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) |
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| 80 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend |
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| 81 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 82 | REAL, DIMENSION(:,:,:), POINTER :: e, km, var |
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| 83 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation, l, ll |
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| 84 | |
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| 85 | |
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| 86 | ! |
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| 87 | !-- This if clause must be outside the k-loop because otherwise |
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| 88 | !-- runtime errors occur with -C hopt on NEC |
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| 89 | IF ( use_reference ) THEN |
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| 90 | |
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| 91 | DO i = nxl, nxr |
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| 92 | DO j = nys, nyn |
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| 93 | ! |
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| 94 | !-- First, calculate phi-function for eventually adjusting the & |
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| 95 | !-- mixing length to the prandtl mixing length |
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| 96 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 97 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 98 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 99 | ELSE |
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| 100 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 101 | ENDIF |
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| 102 | ENDIF |
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| 103 | |
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| 104 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 105 | ! |
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| 106 | !-- Calculate the mixing length (for dissipation) |
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| 107 | dvar_dz = atmos_ocean_sign * & |
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| 108 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 109 | IF ( dvar_dz > 0.0 ) THEN |
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| 110 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 111 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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| 112 | ELSE |
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| 113 | l_stable = l_grid(k) |
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| 114 | ENDIF |
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| 115 | ! |
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| 116 | !-- Adjustment of the mixing length |
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| 117 | IF ( wall_adjustment ) THEN |
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| 118 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 119 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 120 | l_grid(k), l_stable ) |
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| 121 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 122 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 123 | l_grid(k) ) |
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| 124 | ELSE |
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| 125 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 126 | ll(k,j) = l_grid(k) |
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| 127 | ENDIF |
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| 128 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 129 | l(k,j) = MIN( l(k,j), kappa * & |
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| 130 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 131 | / phi_m ) |
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| 132 | ll(k,j) = MIN( ll(k,j), kappa * & |
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| 133 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 134 | / phi_m ) |
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| 135 | ENDIF |
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| 136 | |
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| 137 | ENDDO |
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| 138 | ENDDO |
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| 139 | |
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| 140 | ! |
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| 141 | !-- Calculate the tendency terms |
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| 142 | DO j = nys, nyn |
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| 143 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 144 | |
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| 145 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 146 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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| 147 | |
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| 148 | tend(k,j,i) = tend(k,j,i) & |
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| 149 | + ( & |
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| 150 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 151 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 152 | ) * ddx2 & |
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| 153 | + ( & |
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| 154 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 155 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 156 | ) * ddy2 & |
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| 157 | + ( & |
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| 158 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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| 159 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 160 | ) * ddzw(k) & |
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| 161 | - dissipation(k,j) |
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| 162 | |
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| 163 | ENDDO |
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| 164 | ENDDO |
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| 165 | |
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| 166 | ! |
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| 167 | !-- Store dissipation if needed for calculating the sgs particle |
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| 168 | !-- velocities |
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| 169 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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| 170 | DO j = nys, nyn |
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| 171 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 172 | diss(k,j,i) = dissipation(k,j) |
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| 173 | ENDDO |
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| 174 | ENDDO |
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| 175 | ENDIF |
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| 176 | |
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| 177 | ENDDO |
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| 178 | |
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| 179 | ELSE |
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| 180 | |
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| 181 | DO i = nxl, nxr |
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| 182 | DO j = nys, nyn |
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| 183 | ! |
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| 184 | !-- First, calculate phi-function for eventually adjusting the & |
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| 185 | !-- mixing length to the prandtl mixing length |
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| 186 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 187 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 188 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 189 | ELSE |
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| 190 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 191 | ENDIF |
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| 192 | ENDIF |
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| 193 | |
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| 194 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 195 | ! |
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| 196 | !-- Calculate the mixing length (for dissipation) |
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| 197 | dvar_dz = atmos_ocean_sign * & |
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| 198 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 199 | IF ( dvar_dz > 0.0 ) THEN |
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| 200 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 201 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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| 202 | ELSE |
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| 203 | l_stable = l_grid(k) |
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| 204 | ENDIF |
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| 205 | ! |
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| 206 | !-- Adjustment of the mixing length |
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| 207 | IF ( wall_adjustment ) THEN |
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| 208 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 209 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 210 | l_grid(k), l_stable ) |
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| 211 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 212 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 213 | l_grid(k) ) |
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| 214 | ELSE |
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| 215 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 216 | ll(k,j) = l_grid(k) |
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| 217 | ENDIF |
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| 218 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 219 | l(k,j) = MIN( l(k,j), kappa * & |
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| 220 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 221 | / phi_m ) |
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| 222 | ll(k,j) = MIN( ll(k,j), kappa * & |
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| 223 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 224 | / phi_m ) |
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| 225 | ENDIF |
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| 226 | |
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| 227 | ENDDO |
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| 228 | ENDDO |
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| 229 | |
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| 230 | ! |
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| 231 | !-- Calculate the tendency terms |
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| 232 | DO j = nys, nyn |
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| 233 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 234 | |
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| 235 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 236 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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| 237 | |
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| 238 | tend(k,j,i) = tend(k,j,i) & |
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| 239 | + ( & |
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| 240 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 241 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 242 | ) * ddx2 & |
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| 243 | + ( & |
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| 244 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 245 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 246 | ) * ddy2 & |
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| 247 | + ( & |
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| 248 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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| 249 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 250 | ) * ddzw(k) & |
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| 251 | - dissipation(k,j) |
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| 252 | |
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| 253 | ENDDO |
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| 254 | ENDDO |
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| 255 | |
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| 256 | ! |
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| 257 | !-- Store dissipation if needed for calculating the sgs particle |
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| 258 | !-- velocities |
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| 259 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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| 260 | DO j = nys, nyn |
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| 261 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 262 | diss(k,j,i) = dissipation(k,j) |
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| 263 | ENDDO |
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| 264 | ENDDO |
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| 265 | ENDIF |
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| 266 | |
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| 267 | ENDDO |
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| 268 | |
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| 269 | ENDIF |
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| 270 | |
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| 271 | ! |
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| 272 | !-- Boundary condition for dissipation |
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| 273 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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| 274 | DO i = nxl, nxr |
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| 275 | DO j = nys, nyn |
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| 276 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 277 | ENDDO |
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| 278 | ENDDO |
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| 279 | ENDIF |
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| 280 | |
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| 281 | END SUBROUTINE diffusion_e |
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| 282 | |
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| 283 | |
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| 284 | !------------------------------------------------------------------------------! |
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| 285 | ! Call for grid point i,j |
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| 286 | !------------------------------------------------------------------------------! |
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| 287 | SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, & |
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| 288 | var, var_reference, rif, tend, zu, zw ) |
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| 289 | |
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| 290 | USE control_parameters |
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| 291 | USE grid_variables |
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| 292 | USE indices |
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| 293 | USE particle_attributes |
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| 294 | |
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| 295 | IMPLICIT NONE |
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| 296 | |
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| 297 | INTEGER :: i, j, k |
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| 298 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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| 299 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt+1), & |
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| 300 | l_grid(1:nzt), zu(nzb:nzt+1), zw(nzb:nzt+1) |
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| 301 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: diss, tend |
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| 302 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 303 | REAL, DIMENSION(:,:,:), POINTER :: e, km, var |
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| 304 | REAL, DIMENSION(nzb+1:nzt) :: dissipation, l, ll |
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| 305 | |
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| 306 | |
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| 307 | ! |
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| 308 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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| 309 | !-- to the prandtl mixing length |
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| 310 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 311 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 312 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 313 | ELSE |
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| 314 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 315 | ENDIF |
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| 316 | ENDIF |
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| 317 | |
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| 318 | ! |
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| 319 | !-- Calculate the mixing length (for dissipation) |
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| 320 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 321 | dvar_dz = atmos_ocean_sign * & |
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| 322 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 323 | IF ( dvar_dz > 0.0 ) THEN |
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| 324 | IF ( use_reference ) THEN |
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| 325 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 326 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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| 327 | ELSE |
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| 328 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 329 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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| 330 | ENDIF |
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| 331 | ELSE |
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| 332 | l_stable = l_grid(k) |
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| 333 | ENDIF |
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| 334 | ! |
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| 335 | !-- Adjustment of the mixing length |
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| 336 | IF ( wall_adjustment ) THEN |
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| 337 | l(k) = MIN( wall_adjustment_factor * & |
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| 338 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), & |
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| 339 | l_stable ) |
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| 340 | ll(k) = MIN( wall_adjustment_factor * & |
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| 341 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) ) |
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| 342 | ELSE |
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| 343 | l(k) = MIN( l_grid(k), l_stable ) |
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| 344 | ll(k) = l_grid(k) |
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| 345 | ENDIF |
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| 346 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 347 | l(k) = MIN( l(k), kappa * & |
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| 348 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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| 349 | ll(k) = MIN( ll(k), kappa * & |
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| 350 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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| 351 | ENDIF |
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| 352 | |
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| 353 | ! |
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| 354 | !-- Calculate the tendency term |
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| 355 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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| 356 | SQRT( e(k,j,i) ) / l(k) |
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| 357 | |
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| 358 | tend(k,j,i) = tend(k,j,i) & |
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| 359 | + ( & |
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| 360 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 361 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 362 | ) * ddx2 & |
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| 363 | + ( & |
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| 364 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 365 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 366 | ) * ddy2 & |
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| 367 | + ( & |
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| 368 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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| 369 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 370 | ) * ddzw(k) & |
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| 371 | - dissipation(k) |
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| 372 | |
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| 373 | ENDDO |
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| 374 | |
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| 375 | ! |
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| 376 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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| 377 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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| 378 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 379 | diss(k,j,i) = dissipation(k) |
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| 380 | ENDDO |
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| 381 | ! |
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| 382 | !-- Boundary condition for dissipation |
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| 383 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 384 | ENDIF |
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| 385 | |
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| 386 | END SUBROUTINE diffusion_e_ij |
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| 387 | |
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| 388 | END MODULE diffusion_e_mod |
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