[1] | 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 | ! $Log: diffusion_e.f90,v $ |
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| 11 | ! Revision 1.18 2006/08/04 14:29:43 raasch |
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| 12 | ! dissipation is stored in extra array diss if needed later on for calculating |
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| 13 | ! the sgs particle velocities |
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| 14 | ! |
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| 15 | ! Revision 1.17 2006/02/23 10:31:46 raasch |
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| 16 | ! nzb_2d replaced by nzb_s_inner |
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| 17 | ! |
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| 18 | ! Revision 1.16 2004/01/30 10:18:18 raasch |
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| 19 | ! Scalar lower k index nzb replaced by 2d-array nzb_2d |
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| 20 | ! |
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| 21 | ! Revision 1.15 2003/03/14 13:39:33 raasch |
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| 22 | ! Loop optimization for diffusion_e, l and ll are now automatic arrays |
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| 23 | ! |
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| 24 | ! Revision 1.14 2003/03/12 16:25:03 raasch |
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| 25 | ! Full code replaced in the call for all gridpoints instead of calling the |
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| 26 | ! _ij version (required by NEC, because otherwise no vectorization) |
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| 27 | ! |
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| 28 | ! Revision 1.13 2002/12/19 14:25:28 raasch |
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| 29 | ! Correction of mixing length term (l(k)/ll(k)). The condition kh=3*km in |
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| 30 | ! the unstable case is now also exactly met in the wall adjustment region. |
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| 31 | ! Factor 0.7 in wall adjustment part replaced by variable |
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| 32 | ! wall_adjustment_factor, which is set to ... in modules.f90. |
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| 33 | ! |
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| 34 | ! Revision 1.12 2002/06/11 12:51:59 raasch |
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| 35 | ! Former subroutine changed to a module which allows to be called for all grid |
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| 36 | ! points of a single vertical column with index i,j or for all grid points by |
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| 37 | ! using function overloading. |
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| 38 | ! 1D-array l is allocated only once in the first call. |
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| 39 | ! |
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| 40 | ! Revision 1.11 2001/08/21 08:24:34 raasch |
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| 41 | ! Wall adjustment of mixing length to 0.7 z can be switched off |
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| 42 | ! |
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| 43 | ! Revision 1.10 2001/03/30 07:06:30 raasch |
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| 44 | ! Near surface mixing length is limited to 0.7*zu, |
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| 45 | ! e**1.5 replaced by e*SQRT(e) (more than 10% total increase in performance |
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| 46 | ! of this routine), |
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| 47 | ! Translation of remaining German identifiers (variables, subroutines, etc.) |
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| 48 | ! |
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| 49 | ! Revision 1.9 2001/01/22 06:05:28 raasch |
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| 50 | ! Module test_variables removed |
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| 51 | ! |
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| 52 | ! Revision 1.8 2001/01/02 17:27:00 raasch |
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| 53 | ! -dpt_dz_d, dpt_dz_u |
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| 54 | ! |
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| 55 | ! Revision 1.7 2000/07/03 12:56:34 raasch |
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| 56 | ! array l changed from dummy argument to local allocatable array, |
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| 57 | ! dummy arguments, whose corresponding actual arguments are pointers, |
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| 58 | ! are now also defined as pointers |
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| 59 | ! all comments translated into English |
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| 60 | ! |
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| 61 | ! Revision 1.6 2000/04/18 08:10:12 schroeter |
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| 62 | ! Revision 1.4 wieder rueckgaengig gemacht, das Stabilitaets- |
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| 63 | ! kriterium basiert nun wieder auf zentralen Differenzen |
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| 64 | ! |
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| 65 | ! Revision 1.5 2000/04/13 14:33:08 schroeter |
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| 66 | ! je nach Initialisierungsmodus (trocken/feucht) fliesst in die |
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| 67 | ! Berechnung des Mischungsweges pt oder vpt ein, wird durch |
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| 68 | ! entsprechende Variablenuebergabe geregelt |
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| 69 | ! |
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| 70 | ! Revision 1.4 99/02/17 09:15:52 09:15:52 raasch (Siegfried Raasch) |
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| 71 | ! Dissipation jetzt gemaess dem originalen Deardorff-Ansatz |
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| 72 | ! Kriterium fuer reduzierten Mischungsweg im stabil geschichteten Fall enger |
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| 73 | ! gefasst (Schichtung muss sowohl oberhalb als auch unterhalb des betrachteten |
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| 74 | ! Gitterpunkts stabil sein) |
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| 75 | ! |
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| 76 | ! Revision 1.3 1998/07/06 12:10:56 raasch |
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| 77 | ! + USE test_variables |
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| 78 | ! |
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| 79 | ! Revision 1.2 1998/03/11 11:48:59 raasch |
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| 80 | ! Anpassung des Mischungsweges an den Prandtlschen Mischungsweg moeglich |
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| 81 | ! |
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| 82 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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| 83 | ! Initial revision |
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| 84 | ! |
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| 85 | ! |
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| 86 | ! Description: |
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| 87 | ! ------------ |
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| 88 | ! Diffusion- and dissipation terms for the TKE |
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| 89 | !------------------------------------------------------------------------------! |
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| 90 | |
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| 91 | PRIVATE |
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| 92 | PUBLIC diffusion_e |
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| 93 | |
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| 94 | |
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| 95 | INTERFACE diffusion_e |
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| 96 | MODULE PROCEDURE diffusion_e |
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| 97 | MODULE PROCEDURE diffusion_e_ij |
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| 98 | END INTERFACE diffusion_e |
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| 99 | |
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| 100 | CONTAINS |
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| 101 | |
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| 102 | |
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| 103 | !------------------------------------------------------------------------------! |
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| 104 | ! Call for all grid points |
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| 105 | !------------------------------------------------------------------------------! |
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| 106 | SUBROUTINE diffusion_e( ddzu, dd2zu, ddzw, diss, e, km, l_grid, theta, & |
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| 107 | rif, tend, zu ) |
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| 108 | |
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| 109 | USE control_parameters |
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| 110 | USE grid_variables |
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| 111 | USE indices |
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| 112 | USE particle_attributes |
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| 113 | |
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| 114 | IMPLICIT NONE |
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| 115 | |
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| 116 | INTEGER :: i, j, k |
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| 117 | REAL :: dpt_dz, l_stable, phi_m |
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| 118 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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| 119 | l_grid(1:nzt), zu(0:nzt+1) |
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| 120 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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| 121 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 122 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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| 123 | REAL, DIMENSION(nzb+1:nzt-1,nys:nyn) :: dissipation, l, ll |
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| 124 | |
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| 125 | |
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| 126 | DO i = nxl, nxr |
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| 127 | DO j = nys, nyn |
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| 128 | ! |
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| 129 | !-- First, calculate phi-function for eventually adjusting the & |
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| 130 | !-- mixing length to the prandtl mixing length |
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| 131 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 132 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 133 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 134 | ELSE |
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| 135 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 136 | ENDIF |
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| 137 | ENDIF |
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| 138 | |
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| 139 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 140 | ! |
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| 141 | !-- Calculate the mixing length (for dissipation) |
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| 142 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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| 143 | IF ( dpt_dz > 0.0 ) THEN |
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| 144 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 145 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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| 146 | ELSE |
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| 147 | l_stable = l_grid(k) |
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| 148 | ENDIF |
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| 149 | ! |
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| 150 | !-- Adjustment of the mixing length |
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| 151 | IF ( wall_adjustment ) THEN |
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| 152 | l(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k), & |
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| 153 | l_stable ) |
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| 154 | ll(k,j) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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| 155 | ELSE |
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| 156 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 157 | ll(k,j) = l_grid(k) |
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| 158 | ENDIF |
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| 159 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 160 | l(k,j) = MIN( l(k,j), kappa * zu(k) / phi_m ) |
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| 161 | ll(k,j) = MIN( ll(k,j), kappa * zu(k) / phi_m ) |
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| 162 | ENDIF |
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| 163 | |
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| 164 | ENDDO |
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| 165 | ENDDO |
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| 166 | ! |
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| 167 | !-- Calculate the tendency terms |
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| 168 | DO j = nys, nyn |
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| 169 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 170 | |
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| 171 | dissipation(k,j) = ( 0.19 + 0.74 * l(k,j) / ll(k,j) ) * & |
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| 172 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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| 173 | |
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| 174 | tend(k,j,i) = tend(k,j,i) & |
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| 175 | + ( & |
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| 176 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 177 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 178 | ) * ddx2 & |
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| 179 | + ( & |
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| 180 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 181 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 182 | ) * ddy2 & |
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| 183 | + ( & |
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| 184 | ( 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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| 185 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 186 | ) * ddzw(k) & |
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| 187 | - dissipation(k,j) |
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| 188 | |
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| 189 | ENDDO |
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| 190 | ENDDO |
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| 191 | |
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| 192 | ! |
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| 193 | !-- Store dissipation if needed for calculating the sgs particle |
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| 194 | !-- velocities |
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| 195 | IF ( use_sgs_for_particles ) THEN |
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| 196 | DO j = nys, nyn |
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| 197 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 198 | diss(k,j,i) = dissipation(k,j) |
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| 199 | ENDDO |
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| 200 | ENDDO |
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| 201 | ENDIF |
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| 202 | |
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| 203 | ENDDO |
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| 204 | |
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| 205 | ! |
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| 206 | !-- Boundary condition for dissipation |
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| 207 | IF ( use_sgs_for_particles ) THEN |
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| 208 | DO i = nxl, nxr |
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| 209 | DO j = nys, nyn |
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| 210 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 211 | ENDDO |
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| 212 | ENDDO |
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| 213 | ENDIF |
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| 214 | |
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| 215 | END SUBROUTINE diffusion_e |
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| 216 | |
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| 217 | |
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| 218 | !------------------------------------------------------------------------------! |
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| 219 | ! Call for grid point i,j |
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| 220 | !------------------------------------------------------------------------------! |
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| 221 | SUBROUTINE diffusion_e_ij( i, j, ddzu, dd2zu, ddzw, diss, e, km, l_grid, & |
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| 222 | theta, rif, tend, zu ) |
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| 223 | |
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| 224 | USE control_parameters |
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| 225 | USE grid_variables |
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| 226 | USE indices |
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| 227 | USE particle_attributes |
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| 228 | |
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| 229 | IMPLICIT NONE |
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| 230 | |
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| 231 | INTEGER :: i, j, k |
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| 232 | REAL :: dpt_dz, l_stable, phi_m |
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| 233 | REAL :: ddzu(1:nzt+1), dd2zu(1:nzt), ddzw(1:nzt), & |
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| 234 | l_grid(1:nzt), zu(0:nzt+1) |
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| 235 | REAL, DIMENSION(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) :: diss, tend |
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| 236 | REAL, DIMENSION(:,:), POINTER :: rif |
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| 237 | REAL, DIMENSION(:,:,:), POINTER :: e, km, theta |
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| 238 | REAL, DIMENSION(nzb+1:nzt-1) :: dissipation, l, ll |
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| 239 | |
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| 240 | |
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| 241 | ! |
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| 242 | !-- First, calculate phi-function for eventually adjusting the mixing length |
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| 243 | !-- to the prandtl mixing length |
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| 244 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 245 | IF ( rif(j,i) >= 0.0 ) THEN |
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| 246 | phi_m = 1.0 + 5.0 * rif(j,i) |
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| 247 | ELSE |
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| 248 | phi_m = 1.0 / SQRT( SQRT( 1.0 - 16.0 * rif(j,i) ) ) |
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| 249 | ENDIF |
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| 250 | ENDIF |
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| 251 | |
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| 252 | ! |
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| 253 | !-- Calculate the mixing length (for dissipation) |
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| 254 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 255 | dpt_dz = ( theta(k+1,j,i) - theta(k-1,j,i) ) * dd2zu(k) |
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| 256 | IF ( dpt_dz > 0.0 ) THEN |
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| 257 | l_stable = 0.76 * SQRT( e(k,j,i) ) / & |
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| 258 | SQRT( g / theta(k,j,i) * dpt_dz ) + 1E-5 |
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| 259 | ELSE |
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| 260 | l_stable = l_grid(k) |
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| 261 | ENDIF |
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| 262 | ! |
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| 263 | !-- Adjustment of the mixing length |
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| 264 | IF ( wall_adjustment ) THEN |
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| 265 | l(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k), l_stable ) |
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| 266 | ll(k) = MIN( wall_adjustment_factor * zu(k), l_grid(k) ) |
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| 267 | ELSE |
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| 268 | l(k) = MIN( l_grid(k), l_stable ) |
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| 269 | ll(k) = l_grid(k) |
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| 270 | ENDIF |
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| 271 | IF ( adjust_mixing_length .AND. prandtl_layer ) THEN |
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| 272 | l(k) = MIN( l(k), kappa * zu(k) / phi_m ) |
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| 273 | ll(k) = MIN( ll(k), kappa * zu(k) / phi_m ) |
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| 274 | ENDIF |
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| 275 | |
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| 276 | ! |
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| 277 | !-- Calculate the tendency term |
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| 278 | dissipation(k) = ( 0.19 + 0.74 * l(k) / ll(k) ) * e(k,j,i) * & |
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| 279 | SQRT( e(k,j,i) ) / l(k) |
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| 280 | |
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| 281 | tend(k,j,i) = tend(k,j,i) & |
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| 282 | + ( & |
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| 283 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 284 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 285 | ) * ddx2 & |
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| 286 | + ( & |
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| 287 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 288 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 289 | ) * ddy2 & |
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| 290 | + ( & |
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| 291 | ( 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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| 292 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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| 293 | ) * ddzw(k) & |
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| 294 | - dissipation(k) |
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| 295 | |
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| 296 | ENDDO |
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| 297 | |
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| 298 | ! |
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| 299 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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| 300 | IF ( use_sgs_for_particles ) THEN |
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| 301 | DO k = nzb_s_inner(j,i)+1, nzt-1 |
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| 302 | diss(k,j,i) = dissipation(k) |
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| 303 | ENDDO |
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| 304 | ! |
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| 305 | !-- Boundary condition for dissipation |
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| 306 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 307 | ENDIF |
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| 308 | |
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| 309 | END SUBROUTINE diffusion_e_ij |
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| 310 | |
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| 311 | END MODULE diffusion_e_mod |
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