| 1 | MODULE diffusion_e_mod |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! Actual 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 4 2007-02-13 11:33:16Z raasch $ |
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| 11 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 12 | ! |
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| 13 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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| 14 | ! dissipation is stored in extra array diss if needed later on for calculating |
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| 15 | ! the sgs particle velocities |
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| 16 | ! |
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| 17 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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| 18 | ! Initial revision |
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| 19 | ! |
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| 20 | ! |
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| 21 | ! Description: |
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| 22 | ! ------------ |
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| 23 | ! Diffusion- and dissipation terms for the TKE |
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| 24 | !------------------------------------------------------------------------------! |
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| 25 | |
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| 26 | PRIVATE |
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| 27 | PUBLIC diffusion_e |
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| 28 | |
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| 29 | |
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| 30 | INTERFACE diffusion_e |
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| 31 | MODULE PROCEDURE diffusion_e |
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| 32 | MODULE PROCEDURE diffusion_e_ij |
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| 33 | END INTERFACE diffusion_e |
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| 34 | |
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| 35 | CONTAINS |
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| 36 | |
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| 37 | |
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| 38 | !------------------------------------------------------------------------------! |
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| 39 | ! Call for all grid points |
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| 40 | !------------------------------------------------------------------------------! |
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| 41 | SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, theta, & |
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| 42 | rif, tend, zu ) |
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| 43 | |
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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 | |
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| 49 | IMPLICIT NONE |
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| 50 | |
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| 51 | INTEGER :: i, j, k |
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| 52 | REAL :: dpt_dz, l_stable, phi_m |
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| 53 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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| 54 | l_grid(1:nzt), zu(0:nzt+1) |
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| 55 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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| 56 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 57 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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| 58 | REAL, DIMENSION(nzb+1:nzt-1,nys:nyn) :: dissipation, l, ll |
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| 59 | |
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| 60 | |
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| 61 | DO i = nxl, nxr |
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| 62 | DO j = nys, nyn |
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| 63 | ! |
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| 64 | !-- First, calculate phi-function for eventually adjusting the & |
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| 65 | !-- mixing length to the prandtl mixing length |
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| 66 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 67 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 68 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 69 | ELSE |
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| 70 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 71 | ENDIF |
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| 72 | ENDIF |
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| 73 | |
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| 74 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 75 | ! |
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| 76 | !-- Calculate the mixing length (for dissipation) |
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| 77 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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| 78 | IF ( dpt_dz > 0.0 ) THEN |
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| 79 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 80 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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| 81 | ELSE |
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| 82 | l_stable = l_grid(k) |
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| 83 | ENDIF |
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| 84 | ! |
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| 85 | !-- Adjustment of the mixing length |
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| 86 | IF ( wall_adjustment ) THEN |
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| 87 | l(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k), & |
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| 88 | l_stable ) |
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| 89 | ll(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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| 90 | ELSE |
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| 91 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 92 | ll(k,j) = l_grid(k) |
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| 93 | ENDIF |
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| 94 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 95 | l(k,j) = MIN( l(k,j), kappa * zu(k) / phi_m ) |
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| 96 | ll(k,j) = MIN( ll(k,j), kappa * zu(k) / phi_m ) |
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| 97 | ENDIF |
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| 98 | |
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| 99 | ENDDO |
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| 100 | ENDDO |
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| 101 | ! |
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| 102 | !-- Calculate the tendency terms |
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| 103 | DO j = nys, nyn |
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| 104 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 105 | |
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| 106 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 107 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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| 108 | |
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| 109 | tend(k,j,i) = tend(k,j,i) & |
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| 110 | + ( & |
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| 111 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 112 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 113 | ) * ddx2 & |
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| 114 | + ( & |
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| 115 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 116 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 117 | ) * ddy2 & |
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| 118 | + ( & |
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| 119 | ( 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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| 120 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 121 | ) * ddzw(k) & |
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| 122 | - dissipation(k,j) |
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| 123 | |
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| 124 | ENDDO |
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| 125 | ENDDO |
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| 126 | |
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| 127 | ! |
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| 128 | !-- Store dissipation if needed for calculating the sgs particle |
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| 129 | !-- velocities |
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| 130 | IF ( use_sgs_for_particles ) THEN |
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| 131 | DO j = nys, nyn |
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| 132 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 133 | diss(k,j,i) = dissipation(k,j) |
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| 134 | ENDDO |
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| 135 | ENDDO |
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| 136 | ENDIF |
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| 137 | |
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| 138 | ENDDO |
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| 139 | |
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| 140 | ! |
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| 141 | !-- Boundary condition for dissipation |
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| 142 | IF ( use_sgs_for_particles ) THEN |
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| 143 | DO i = nxl, nxr |
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| 144 | DO j = nys, nyn |
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| 145 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 146 | ENDDO |
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| 147 | ENDDO |
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| 148 | ENDIF |
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| 149 | |
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| 150 | END SUBROUTINE diffusion_e |
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| 151 | |
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| 152 | |
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| 153 | !------------------------------------------------------------------------------! |
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| 154 | ! Call for grid point i,j |
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| 155 | !------------------------------------------------------------------------------! |
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| 156 | SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, & |
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| 157 | theta, rif, tend, zu ) |
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| 158 | |
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| 159 | USE control_parameters |
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| 160 | USE grid_variables |
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| 161 | USE indices |
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| 162 | USE particle_attributes |
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| 163 | |
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| 164 | IMPLICIT NONE |
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| 165 | |
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| 166 | INTEGER :: i, j, k |
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| 167 | REAL :: dpt_dz, l_stable, phi_m |
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| 168 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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| 169 | l_grid(1:nzt), zu(0:nzt+1) |
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| 170 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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| 171 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 172 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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| 173 | REAL, DIMENSION(nzb+1:nzt-1) :: dissipation, l, ll |
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| 174 | |
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| 175 | |
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| 176 | ! |
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| 177 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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| 178 | !-- to the prandtl mixing length |
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| 179 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 180 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 181 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 182 | ELSE |
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| 183 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 184 | ENDIF |
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| 185 | ENDIF |
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| 186 | |
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| 187 | ! |
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| 188 | !-- Calculate the mixing length (for dissipation) |
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| 189 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 190 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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| 191 | IF ( dpt_dz > 0.0 ) THEN |
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| 192 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 193 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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| 194 | ELSE |
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| 195 | l_stable = l_grid(k) |
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| 196 | ENDIF |
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| 197 | ! |
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| 198 | !-- Adjustment of the mixing length |
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| 199 | IF ( wall_adjustment ) THEN |
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| 200 | l(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k), l_stable ) |
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| 201 | ll(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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| 202 | ELSE |
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| 203 | l(k) = MIN( l_grid(k), l_stable ) |
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| 204 | ll(k) = l_grid(k) |
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| 205 | ENDIF |
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| 206 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 207 | l(k) = MIN( l(k), kappa * zu(k) / phi_m ) |
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| 208 | ll(k) = MIN( ll(k), kappa * zu(k) / phi_m ) |
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| 209 | ENDIF |
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| 210 | |
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| 211 | ! |
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| 212 | !-- Calculate the tendency term |
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| 213 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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| 214 | SQRT( e(k,j,i) ) / l(k) |
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| 215 | |
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| 216 | tend(k,j,i) = tend(k,j,i) & |
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| 217 | + ( & |
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| 218 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 219 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 220 | ) * ddx2 & |
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| 221 | + ( & |
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| 222 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 223 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 224 | ) * ddy2 & |
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| 225 | + ( & |
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| 226 | ( 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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| 227 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 228 | ) * ddzw(k) & |
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| 229 | - dissipation(k) |
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| 230 | |
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| 231 | ENDDO |
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| 232 | |
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| 233 | ! |
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| 234 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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| 235 | IF ( use_sgs_for_particles ) THEN |
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| 236 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 237 | diss(k,j,i) = dissipation(k) |
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| 238 | ENDDO |
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| 239 | ! |
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| 240 | !-- Boundary condition for dissipation |
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| 241 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 242 | ENDIF |
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| 243 | |
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| 244 | END SUBROUTINE diffusion_e_ij |
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| 245 | |
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| 246 | END MODULE diffusion_e_mod |
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