[1] | 1 | MODULE diffusion_e_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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[484] | 4 | ! Current revisions: |
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[1] | 5 | ! ----------------- |
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[1010] | 6 | ! cpp switch __nopointer added for pointer free version |
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[98] | 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: diffusion_e.f90 1010 2012-09-20 07:59:54Z raasch $ |
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| 11 | ! |
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[1002] | 12 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 13 | ! most arrays comunicated by module instead of parameter list |
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| 14 | ! |
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[826] | 15 | ! 825 2012-02-19 03:03:44Z raasch |
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| 16 | ! wang_collision_kernel renamed wang_kernel |
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| 17 | ! |
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[791] | 18 | ! 790 2011-11-29 03:11:20Z raasch |
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| 19 | ! diss is also calculated in case that the Wang kernel is used |
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| 20 | ! |
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[668] | 21 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 22 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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| 23 | ! |
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[98] | 24 | ! 97 2007-06-21 08:23:15Z raasch |
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[94] | 25 | ! Adjustment of mixing length calculation for the ocean version. zw added to |
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| 26 | ! argument list. |
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| 27 | ! This is also a bugfix, because the height above the topography is now |
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| 28 | ! used instead of the height above level k=0. |
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[97] | 29 | ! theta renamed var, dpt_dz renamed dvar_dz, +new argument var_reference |
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| 30 | ! use_pt_reference renamed use_reference |
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[1] | 31 | ! |
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[77] | 32 | ! 65 2007-03-13 12:11:43Z raasch |
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| 33 | ! Reference temperature pt_reference can be used in buoyancy term |
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| 34 | ! |
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[39] | 35 | ! 20 2007-02-26 00:12:32Z raasch |
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| 36 | ! Bugfix: ddzw dimensioned 1:nzt"+1" |
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| 37 | ! Calculation extended for gridpoint nzt |
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| 38 | ! |
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[3] | 39 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 40 | ! |
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[1] | 41 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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| 42 | ! dissipation is stored in extra array diss if needed later on for calculating |
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| 43 | ! the sgs particle velocities |
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| 44 | ! |
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| 45 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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| 46 | ! Initial revision |
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| 47 | ! |
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| 48 | ! |
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| 49 | ! Description: |
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| 50 | ! ------------ |
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| 51 | ! Diffusion- and dissipation terms for the TKE |
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| 52 | !------------------------------------------------------------------------------! |
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| 53 | |
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| 54 | PRIVATE |
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| 55 | PUBLIC diffusion_e |
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| 56 | |
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| 57 | |
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| 58 | INTERFACE diffusion_e |
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| 59 | MODULE PROCEDURE diffusion_e |
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| 60 | MODULE PROCEDURE diffusion_e_ij |
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| 61 | END INTERFACE diffusion_e |
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| 62 | |
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| 63 | CONTAINS |
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| 64 | |
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| 65 | |
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| 66 | !------------------------------------------------------------------------------! |
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| 67 | ! Call for all grid points |
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| 68 | !------------------------------------------------------------------------------! |
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[1001] | 69 | SUBROUTINE diffusion_e( var, var_reference ) |
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[1] | 70 | |
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[1001] | 71 | USE arrays_3d |
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[1] | 72 | USE control_parameters |
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| 73 | USE grid_variables |
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| 74 | USE indices |
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| 75 | USE particle_attributes |
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| 76 | |
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| 77 | IMPLICIT NONE |
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| 78 | |
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| 79 | INTEGER :: i, j, k |
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[1001] | 80 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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| 81 | |
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[1010] | 82 | #if defined( __nopointer ) |
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| 83 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var |
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| 84 | #else |
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[1001] | 85 | REAL, DIMENSION(:,:,:), POINTER :: var |
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[1010] | 86 | #endif |
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[19] | 87 | REAL, DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation, l, ll |
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[1] | 88 | |
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| 89 | |
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| 90 | ! |
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[65] | 91 | !-- This if clause must be outside the k-loop because otherwise |
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| 92 | !-- runtime errors occur with -C hopt on NEC |
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[97] | 93 | IF ( use_reference ) THEN |
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[65] | 94 | |
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| 95 | DO i = nxl, nxr |
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| 96 | DO j = nys, nyn |
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| 97 | ! |
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| 98 | !-- First, calculate phi-function for eventually adjusting the & |
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| 99 | !-- mixing length to the prandtl mixing length |
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| 100 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 101 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 102 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 103 | ELSE |
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| 104 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 105 | ENDIF |
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[1] | 106 | ENDIF |
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| 107 | |
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[65] | 108 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 109 | ! |
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[65] | 110 | !-- Calculate the mixing length (for dissipation) |
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[97] | 111 | dvar_dz = atmos_ocean_sign * & |
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| 112 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 113 | IF ( dvar_dz > 0.0 ) THEN |
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[57] | 114 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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[97] | 115 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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[57] | 116 | ELSE |
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[65] | 117 | l_stable = l_grid(k) |
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[57] | 118 | ENDIF |
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[1] | 119 | ! |
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[65] | 120 | !-- Adjustment of the mixing length |
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| 121 | IF ( wall_adjustment ) THEN |
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[94] | 122 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 123 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 124 | l_grid(k), l_stable ) |
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| 125 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 126 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 127 | l_grid(k) ) |
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[65] | 128 | ELSE |
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| 129 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 130 | ll(k,j) = l_grid(k) |
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| 131 | ENDIF |
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| 132 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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[94] | 133 | l(k,j) = MIN( l(k,j), kappa * & |
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| 134 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 135 | / phi_m ) |
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| 136 | ll(k,j) = MIN( ll(k,j), kappa * & |
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| 137 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 138 | / phi_m ) |
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[65] | 139 | ENDIF |
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[1] | 140 | |
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[65] | 141 | ENDDO |
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[1] | 142 | ENDDO |
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[65] | 143 | |
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[1] | 144 | ! |
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[65] | 145 | !-- Calculate the tendency terms |
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| 146 | DO j = nys, nyn |
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| 147 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 148 | |
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[65] | 149 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 150 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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[1] | 151 | |
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[65] | 152 | tend(k,j,i) = tend(k,j,i) & |
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[1] | 153 | + ( & |
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| 154 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 155 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 156 | ) * ddx2 & |
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| 157 | + ( & |
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| 158 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 159 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 160 | ) * ddy2 & |
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| 161 | + ( & |
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| 162 | ( 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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| 163 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 164 | ) * ddzw(k) & |
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| 165 | - dissipation(k,j) |
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| 166 | |
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[65] | 167 | ENDDO |
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[1] | 168 | ENDDO |
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[65] | 169 | |
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| 170 | ! |
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| 171 | !-- Store dissipation if needed for calculating the sgs particle |
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| 172 | !-- velocities |
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[825] | 173 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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[65] | 174 | DO j = nys, nyn |
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| 175 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 176 | diss(k,j,i) = dissipation(k,j) |
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| 177 | ENDDO |
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| 178 | ENDDO |
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| 179 | ENDIF |
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| 180 | |
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[1] | 181 | ENDDO |
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| 182 | |
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[65] | 183 | ELSE |
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| 184 | |
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| 185 | DO i = nxl, nxr |
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| 186 | DO j = nys, nyn |
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[1] | 187 | ! |
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[65] | 188 | !-- First, calculate phi-function for eventually adjusting the & |
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| 189 | !-- mixing length to the prandtl mixing length |
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| 190 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 191 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 192 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 193 | ELSE |
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| 194 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 195 | ENDIF |
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| 196 | ENDIF |
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| 197 | |
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| 198 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 199 | ! |
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| 200 | !-- Calculate the mixing length (for dissipation) |
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[97] | 201 | dvar_dz = atmos_ocean_sign * & |
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| 202 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 203 | IF ( dvar_dz > 0.0 ) THEN |
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[65] | 204 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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[97] | 205 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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[65] | 206 | ELSE |
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| 207 | l_stable = l_grid(k) |
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| 208 | ENDIF |
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| 209 | ! |
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| 210 | !-- Adjustment of the mixing length |
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| 211 | IF ( wall_adjustment ) THEN |
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[94] | 212 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 213 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 214 | l_grid(k), l_stable ) |
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| 215 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 216 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 217 | l_grid(k) ) |
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[65] | 218 | ELSE |
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| 219 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 220 | ll(k,j) = l_grid(k) |
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| 221 | ENDIF |
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| 222 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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[94] | 223 | l(k,j) = MIN( l(k,j), kappa * & |
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| 224 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 225 | / phi_m ) |
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| 226 | ll(k,j) = MIN( ll(k,j), kappa * & |
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| 227 | ( zu(k) - zw(nzb_s_inner(j,i)) ) & |
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| 228 | / phi_m ) |
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[65] | 229 | ENDIF |
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| 230 | |
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| 231 | ENDDO |
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| 232 | ENDDO |
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| 233 | |
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| 234 | ! |
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| 235 | !-- Calculate the tendency terms |
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[1] | 236 | DO j = nys, nyn |
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[19] | 237 | DO k = nzb_s_inner(j,i)+1, nzt |
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[65] | 238 | |
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| 239 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 240 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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| 241 | |
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| 242 | tend(k,j,i) = tend(k,j,i) & |
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| 243 | + ( & |
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| 244 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 245 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 246 | ) * ddx2 & |
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| 247 | + ( & |
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| 248 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 249 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 250 | ) * ddy2 & |
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| 251 | + ( & |
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| 252 | ( 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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| 253 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 254 | ) * ddzw(k) & |
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| 255 | - dissipation(k,j) |
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| 256 | |
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[1] | 257 | ENDDO |
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| 258 | ENDDO |
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| 259 | |
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[65] | 260 | ! |
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| 261 | !-- Store dissipation if needed for calculating the sgs particle |
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| 262 | !-- velocities |
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[825] | 263 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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[65] | 264 | DO j = nys, nyn |
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| 265 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 266 | diss(k,j,i) = dissipation(k,j) |
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| 267 | ENDDO |
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| 268 | ENDDO |
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| 269 | ENDIF |
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[1] | 270 | |
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[65] | 271 | ENDDO |
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| 272 | |
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| 273 | ENDIF |
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| 274 | |
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[1] | 275 | ! |
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| 276 | !-- Boundary condition for dissipation |
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[825] | 277 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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[1] | 278 | DO i = nxl, nxr |
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| 279 | DO j = nys, nyn |
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| 280 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 281 | ENDDO |
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| 282 | ENDDO |
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| 283 | ENDIF |
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| 284 | |
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| 285 | END SUBROUTINE diffusion_e |
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| 286 | |
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| 287 | |
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| 288 | !------------------------------------------------------------------------------! |
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| 289 | ! Call for grid point i,j |
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| 290 | !------------------------------------------------------------------------------! |
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[1001] | 291 | SUBROUTINE diffusion_e_ij( i, j, var, var_reference ) |
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[1] | 292 | |
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[1001] | 293 | USE arrays_3d |
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[1] | 294 | USE control_parameters |
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| 295 | USE grid_variables |
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| 296 | USE indices |
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| 297 | USE particle_attributes |
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| 298 | |
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| 299 | IMPLICIT NONE |
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| 300 | |
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[1001] | 301 | INTEGER :: i, j, k |
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| 302 | REAL :: dvar_dz, l_stable, phi_m, var_reference |
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[1] | 303 | |
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[1010] | 304 | #if defined( __nopointer ) |
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| 305 | REAL, DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var |
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| 306 | #else |
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[1001] | 307 | REAL, DIMENSION(:,:,:), POINTER :: var |
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[1010] | 308 | #endif |
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[1001] | 309 | REAL, DIMENSION(nzb+1:nzt) :: dissipation, l, ll |
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[1] | 310 | |
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[1001] | 311 | |
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[1] | 312 | ! |
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| 313 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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| 314 | !-- to the prandtl mixing length |
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| 315 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 316 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 317 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 318 | ELSE |
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| 319 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 320 | ENDIF |
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| 321 | ENDIF |
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| 322 | |
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| 323 | ! |
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| 324 | !-- Calculate the mixing length (for dissipation) |
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[19] | 325 | DO k = nzb_s_inner(j,i)+1, nzt |
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[97] | 326 | dvar_dz = atmos_ocean_sign * & |
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| 327 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 328 | IF ( dvar_dz > 0.0 ) THEN |
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| 329 | IF ( use_reference ) THEN |
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[57] | 330 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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[97] | 331 | SQRT( g / var_reference * dvar_dz ) + 1E-5 |
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[57] | 332 | ELSE |
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| 333 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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[97] | 334 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5 |
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[57] | 335 | ENDIF |
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[1] | 336 | ELSE |
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| 337 | l_stable = l_grid(k) |
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| 338 | ENDIF |
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| 339 | ! |
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| 340 | !-- Adjustment of the mixing length |
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| 341 | IF ( wall_adjustment ) THEN |
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[94] | 342 | l(k) = MIN( wall_adjustment_factor * & |
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| 343 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), & |
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| 344 | l_stable ) |
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| 345 | ll(k) = MIN( wall_adjustment_factor * & |
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| 346 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) ) |
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[1] | 347 | ELSE |
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| 348 | l(k) = MIN( l_grid(k), l_stable ) |
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| 349 | ll(k) = l_grid(k) |
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| 350 | ENDIF |
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| 351 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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[94] | 352 | l(k) = MIN( l(k), kappa * & |
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| 353 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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| 354 | ll(k) = MIN( ll(k), kappa * & |
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| 355 | ( zu(k) - zw(nzb_s_inner(j,i)) ) / phi_m ) |
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[1] | 356 | ENDIF |
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| 357 | |
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| 358 | ! |
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| 359 | !-- Calculate the tendency term |
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| 360 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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| 361 | SQRT( e(k,j,i) ) / l(k) |
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| 362 | |
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| 363 | tend(k,j,i) = tend(k,j,i) & |
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| 364 | + ( & |
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| 365 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 366 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 367 | ) * ddx2 & |
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| 368 | + ( & |
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| 369 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 370 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 371 | ) * ddy2 & |
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| 372 | + ( & |
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| 373 | ( 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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| 374 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 375 | ) * ddzw(k) & |
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| 376 | - dissipation(k) |
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| 377 | |
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| 378 | ENDDO |
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| 379 | |
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| 380 | ! |
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| 381 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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[825] | 382 | IF ( use_sgs_for_particles .OR. wang_kernel ) THEN |
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[19] | 383 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 384 | diss(k,j,i) = dissipation(k) |
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| 385 | ENDDO |
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| 386 | ! |
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| 387 | !-- Boundary condition for dissipation |
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| 388 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 389 | ENDIF |
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| 390 | |
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| 391 | END SUBROUTINE diffusion_e_ij |
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| 392 | |
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| 393 | END MODULE diffusion_e_mod |
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