| 1 | MODULE diffusion_s_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_s.f90,v $ |
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| 11 | ! Revision 1.8 2006/02/23 10:34:17 raasch |
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| 12 | ! nzb_2d replaced by nzb_s_outer in horizontal diffusion and by nzb_s_inner |
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| 13 | ! or nzb_diff_s_inner, respectively, in vertical diffusion, prescribed surface |
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| 14 | ! fluxes at vertically oriented topography |
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| 15 | ! |
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| 16 | ! Revision 1.7 2004/01/30 10:20:56 raasch |
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| 17 | ! Scalar lower k index nzb replaced by 2d-array nzb_2d |
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| 18 | ! |
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| 19 | ! Revision 1.6 2003/03/12 16:25:32 raasch |
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| 20 | ! Full code replaced in the call for all gridpoints instead of calling the |
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| 21 | ! _ij version (required by NEC, because otherwise no vectorization) |
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| 22 | ! |
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| 23 | ! Revision 1.5 2002/06/11 12:52:41 raasch |
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| 24 | ! Former subroutine changed to a module which allows to be called for all grid |
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| 25 | ! points of a single vertical column with index i,j or for all grid points by |
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| 26 | ! using function overloading. |
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| 27 | ! |
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| 28 | ! Revision 1.4 2001/03/30 07:11:44 raasch |
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| 29 | ! Translation of remaining German identifiers (variables, subroutines, etc.) |
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| 30 | ! |
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| 31 | ! Revision 1.3 2001/01/25 06:58:14 raasch |
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| 32 | ! Variable "prandtl_layer replaced by "use_surface_fluxes" |
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| 33 | ! |
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| 34 | ! Revision 1.2 2000/07/03 12:57:13 raasch |
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| 35 | ! dummy arguments, whose corresponding actual arguments are pointers, |
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| 36 | ! are now also defined as pointers, |
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| 37 | ! all comments translated into English |
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| 38 | ! |
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| 39 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 40 | ! Initial revision |
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| 41 | ! |
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| 42 | ! |
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| 43 | ! Description: |
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| 44 | ! ------------ |
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| 45 | ! Diffusion term of scalar quantities (temperature and water content) |
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| 46 | !------------------------------------------------------------------------------! |
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| 47 | |
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| 48 | PRIVATE |
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| 49 | PUBLIC diffusion_s |
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| 50 | |
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| 51 | INTERFACE diffusion_s |
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| 52 | MODULE PROCEDURE diffusion_s |
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| 53 | MODULE PROCEDURE diffusion_s_ij |
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| 54 | END INTERFACE diffusion_s |
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| 55 | |
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| 56 | CONTAINS |
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| 57 | |
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| 58 | |
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| 59 | !------------------------------------------------------------------------------! |
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| 60 | ! Call for all grid points |
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| 61 | !------------------------------------------------------------------------------! |
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| 62 | SUBROUTINE diffusion_s( ddzu, ddzw, kh, s, s_flux, tend ) |
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| 63 | |
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| 64 | USE control_parameters |
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| 65 | USE grid_variables |
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| 66 | USE indices |
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| 67 | |
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| 68 | IMPLICIT NONE |
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| 69 | |
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| 70 | INTEGER :: i, j, k |
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| 71 | REAL :: vertical_gridspace |
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| 72 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt) |
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| 73 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 74 | REAL, DIMENSION(:,:), POINTER :: s_flux |
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| 75 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 76 | |
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| 77 | DO i = nxl, nxr |
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| 78 | DO j = nys,nyn |
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| 79 | ! |
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| 80 | !-- Compute horizontal diffusion |
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| 81 | DO k = nzb_s_outer(j,i)+1, nzt-1 |
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| 82 | |
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| 83 | tend(k,j,i) = tend(k,j,i) & |
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| 84 | + 0.5 * ( & |
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| 85 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 86 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 87 | ) * ddx2 & |
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| 88 | + 0.5 * ( & |
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| 89 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 90 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 91 | ) * ddy2 |
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| 92 | ENDDO |
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| 93 | |
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| 94 | ! |
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| 95 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 96 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 97 | THEN |
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| 98 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 99 | |
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| 100 | tend(k,j,i) = tend(k,j,i) & |
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| 101 | + 0.5 * ( fwxp(j,i) * & |
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| 102 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 103 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
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| 104 | -fwxm(j,i) * & |
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| 105 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 106 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
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| 107 | ) * ddx2 & |
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| 108 | + 0.5 * ( fwyp(j,i) * & |
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| 109 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 110 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
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| 111 | -fwym(j,i) * & |
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| 112 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 113 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
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| 114 | ) * ddy2 |
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| 115 | ENDDO |
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| 116 | ENDIF |
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| 117 | |
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| 118 | ! |
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| 119 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 120 | !-- presribed or computed, index k starts at nzb+2. |
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| 121 | DO k = nzb_diff_s_inner(j,i), nzt-1 |
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| 122 | |
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| 123 | tend(k,j,i) = tend(k,j,i) & |
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| 124 | + 0.5 * ( & |
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| 125 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 126 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 127 | ) * ddzw(k) |
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| 128 | ENDDO |
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| 129 | |
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| 130 | ! |
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| 131 | !-- Vertical diffusion at the first computational gridpoint in & |
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| 132 | !-- z-direction |
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| 133 | IF ( use_surface_fluxes ) THEN |
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| 134 | |
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| 135 | k = nzb_s_inner(j,i)+1 |
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| 136 | |
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| 137 | tend(k,j,i) = tend(k,j,i) & |
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| 138 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 139 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 140 | * ddzu(k+1) & |
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| 141 | + s_flux(j,i) & |
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| 142 | ) * ddzw(k) |
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| 143 | |
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| 144 | ENDIF |
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| 145 | |
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| 146 | ENDDO |
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| 147 | ENDDO |
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| 148 | |
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| 149 | END SUBROUTINE diffusion_s |
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| 150 | |
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| 151 | |
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| 152 | !------------------------------------------------------------------------------! |
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| 153 | ! Call for grid point i,j |
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| 154 | !------------------------------------------------------------------------------! |
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| 155 | SUBROUTINE diffusion_s_ij( i, j, ddzu, ddzw, kh, s, s_flux, tend ) |
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| 156 | |
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| 157 | USE control_parameters |
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| 158 | USE grid_variables |
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| 159 | USE indices |
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| 160 | |
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| 161 | IMPLICIT NONE |
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| 162 | |
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| 163 | INTEGER :: i, j, k |
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| 164 | REAL :: vertical_gridspace |
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| 165 | REAL :: ddzu(1:nzt+1), ddzw(1:nzt) |
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| 166 | REAL :: tend(nzb:nzt+1,nys-1:nyn+1,nxl-1:nxr+1) |
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| 167 | REAL, DIMENSION(:,:), POINTER :: s_flux |
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| 168 | REAL, DIMENSION(:,:,:), POINTER :: kh, s |
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| 169 | |
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| 170 | ! |
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| 171 | !-- Compute horizontal diffusion |
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| 172 | DO k = nzb_s_outer(j,i)+1, nzt-1 |
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| 173 | |
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| 174 | tend(k,j,i) = tend(k,j,i) & |
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| 175 | + 0.5 * ( & |
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| 176 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 177 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 178 | ) * ddx2 & |
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| 179 | + 0.5 * ( & |
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| 180 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 181 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 182 | ) * ddy2 |
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| 183 | ENDDO |
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| 184 | |
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| 185 | ! |
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| 186 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 187 | IF ( ( wall_w_x(j,i) .NE. 0.0 ) .OR. ( wall_w_y(j,i) .NE. 0.0 ) ) & |
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| 188 | THEN |
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| 189 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 190 | |
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| 191 | tend(k,j,i) = tend(k,j,i) & |
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| 192 | + 0.5 * ( fwxp(j,i) * & |
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| 193 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 194 | - ( 1.0 - fwxp(j,i) ) * wall_heatflux(1) & |
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| 195 | -fwxm(j,i) * & |
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| 196 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 197 | + ( 1.0 - fwxm(j,i) ) * wall_heatflux(3) & |
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| 198 | ) * ddx2 & |
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| 199 | + 0.5 * ( fwyp(j,i) * & |
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| 200 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 201 | - ( 1.0 - fwyp(j,i) ) * wall_heatflux(2) & |
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| 202 | -fwym(j,i) * & |
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| 203 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 204 | + ( 1.0 - fwym(j,i) ) * wall_heatflux(4) & |
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| 205 | ) * ddy2 |
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| 206 | ENDDO |
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| 207 | ENDIF |
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| 208 | |
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| 209 | ! |
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| 210 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 211 | !-- presribed or computed, index k starts at nzb+2. |
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| 212 | DO k = nzb_diff_s_inner(j,i), nzt-1 |
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| 213 | |
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| 214 | tend(k,j,i) = tend(k,j,i) & |
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| 215 | + 0.5 * ( & |
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| 216 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 217 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 218 | ) * ddzw(k) |
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| 219 | ENDDO |
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| 220 | |
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| 221 | ! |
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| 222 | !-- Vertical diffusion at the first computational gridpoint in z-direction |
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| 223 | IF ( use_surface_fluxes ) THEN |
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| 224 | |
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| 225 | k = nzb_s_inner(j,i)+1 |
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| 226 | |
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| 227 | tend(k,j,i) = tend(k,j,i) & |
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| 228 | + ( 0.5 * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 229 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 230 | * ddzu(k+1) & |
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| 231 | + s_flux(j,i) & |
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| 232 | ) * ddzw(k) |
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| 233 | |
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| 234 | ENDIF |
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| 235 | |
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| 236 | END SUBROUTINE diffusion_s_ij |
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| 237 | |
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| 238 | END MODULE diffusion_s_mod |
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