| 1 | MODULE production_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: production_e.f90 98 2007-06-21 09:36:33Z raasch $ |
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| 11 | ! |
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| 12 | ! 97 2007-06-21 08:23:15Z raasch |
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| 13 | ! Energy production by density flux (in ocean) added |
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| 14 | ! use_pt_reference renamed use_reference |
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| 15 | ! |
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| 16 | ! 75 2007-03-22 09:54:05Z raasch |
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| 17 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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| 18 | ! reference temperature pt_reference can be used in buoyancy term, |
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| 19 | ! moisture renamed humidity |
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| 20 | ! |
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| 21 | ! 37 2007-03-01 08:33:54Z raasch |
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| 22 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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| 23 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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| 24 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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| 25 | ! |
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| 26 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 27 | ! |
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| 28 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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| 29 | ! OpenMP parallelization of production_e_init |
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| 30 | ! |
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| 31 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 32 | ! Initial revision |
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| 33 | ! |
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| 34 | ! |
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| 35 | ! Description: |
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| 36 | ! ------------ |
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| 37 | ! Production terms (shear + buoyancy) of the TKE |
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| 38 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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| 39 | ! not considered well! |
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| 40 | !------------------------------------------------------------------------------! |
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| 41 | |
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| 42 | USE wall_fluxes_mod |
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| 43 | |
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| 44 | PRIVATE |
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| 45 | PUBLIC production_e, production_e_init |
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| 46 | |
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| 47 | LOGICAL, SAVE :: first_call = .TRUE. |
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| 48 | |
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| 49 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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| 50 | |
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| 51 | INTERFACE production_e |
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| 52 | MODULE PROCEDURE production_e |
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| 53 | MODULE PROCEDURE production_e_ij |
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| 54 | END INTERFACE production_e |
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| 55 | |
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| 56 | INTERFACE production_e_init |
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| 57 | MODULE PROCEDURE production_e_init |
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| 58 | END INTERFACE production_e_init |
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| 59 | |
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| 60 | CONTAINS |
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| 61 | |
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| 62 | |
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| 63 | !------------------------------------------------------------------------------! |
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| 64 | ! Call for all grid points |
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| 65 | !------------------------------------------------------------------------------! |
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| 66 | SUBROUTINE production_e |
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| 67 | |
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| 68 | USE arrays_3d |
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| 69 | USE cloud_parameters |
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| 70 | USE control_parameters |
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| 71 | USE grid_variables |
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| 72 | USE indices |
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| 73 | USE statistics |
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| 74 | |
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| 75 | IMPLICIT NONE |
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| 76 | |
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| 77 | INTEGER :: i, j, k |
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| 78 | |
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| 79 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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| 80 | k1, k2, theta, temp |
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| 81 | |
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| 82 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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| 83 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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| 84 | |
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| 85 | ! |
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| 86 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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| 87 | !-- vertical walls, if neccessary |
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| 88 | !-- So far, results are slightly different from the ij-Version. |
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| 89 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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| 90 | ! IF ( topography /= 'flat' ) THEN |
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| 91 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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| 92 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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| 93 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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| 94 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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| 95 | ! ENDIF |
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| 96 | |
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| 97 | ! |
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| 98 | !-- Calculate TKE production by shear |
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| 99 | DO i = nxl, nxr |
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| 100 | |
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| 101 | DO j = nys, nyn |
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| 102 | DO k = nzb_diff_s_outer(j,i), nzt |
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| 103 | |
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| 104 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 105 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 106 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 107 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 108 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 109 | |
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| 110 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 111 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 112 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 113 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 114 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 115 | |
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| 116 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 117 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 118 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 119 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 120 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 121 | |
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| 122 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 123 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 124 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 125 | |
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| 126 | IF ( def < 0.0 ) def = 0.0 |
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| 127 | |
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| 128 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 129 | |
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| 130 | ENDDO |
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| 131 | ENDDO |
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| 132 | |
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| 133 | IF ( prandtl_layer ) THEN |
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| 134 | |
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| 135 | ! |
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| 136 | !-- Position beneath wall |
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| 137 | !-- (2) - Will allways be executed. |
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| 138 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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| 139 | DO j = nys, nyn |
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| 140 | |
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| 141 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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| 142 | THEN |
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| 143 | |
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| 144 | k = nzb_diff_s_inner(j,i) - 1 |
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| 145 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 146 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 147 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 148 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 149 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 150 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 151 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 152 | |
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| 153 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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| 154 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 155 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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| 156 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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| 157 | ! dudy = wall_e_y(j,i) * usvs(k,j,i) / km(k,j,i) |
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| 158 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 159 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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| 160 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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| 161 | ! dwdy = wall_e_y(j,i) * wsvs(k,j,i) / km(k,j,i) |
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| 162 | ELSE |
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| 163 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 164 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 165 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 166 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 167 | ENDIF |
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| 168 | |
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| 169 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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| 170 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 171 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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| 172 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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| 173 | ! dvdx = wall_e_x(j,i) * vsus(k,j,i) / km(k,j,i) |
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| 174 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 175 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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| 176 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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| 177 | ! dwdx = wall_e_x(j,i) * wsus(k,j,i) / km(k,j,i) |
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| 178 | ELSE |
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| 179 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 180 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 181 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 182 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 183 | ENDIF |
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| 184 | |
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| 185 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 186 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 187 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 188 | |
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| 189 | IF ( def < 0.0 ) def = 0.0 |
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| 190 | |
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| 191 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 192 | |
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| 193 | |
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| 194 | ! |
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| 195 | !-- (3) - will be executed only, if there is at least one level |
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| 196 | !-- between (2) and (4), i.e. the topography must have a |
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| 197 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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| 198 | !-- already been calculated for (2). |
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| 199 | !-- 'wall only: use wall functions' |
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| 200 | |
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| 201 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 202 | |
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| 203 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 204 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 205 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 206 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 207 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 208 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 209 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 210 | |
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| 211 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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| 212 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
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| 213 | ! dudy = wall_e_y(j,i) * usvs(k,j,i) / km(k,j,i) |
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| 214 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
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| 215 | ! dwdy = wall_e_y(j,i) * wsvs(k,j,i) / km(k,j,i) |
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| 216 | ELSE |
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| 217 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 218 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 219 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 220 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 221 | ENDIF |
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| 222 | |
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| 223 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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| 224 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
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| 225 | ! dvdx = wall_e_x(j,i) * vsus(k,j,i) / km(k,j,i) |
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| 226 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
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| 227 | ! dwdx = wall_e_x(j,i) * wsus(k,j,i) / km(k,j,i) |
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| 228 | ELSE |
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| 229 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 230 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 231 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 232 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 233 | ENDIF |
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| 234 | |
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| 235 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 236 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 237 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 238 | |
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| 239 | IF ( def < 0.0 ) def = 0.0 |
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| 240 | |
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| 241 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 242 | |
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| 243 | ENDDO |
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| 244 | |
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| 245 | ENDIF |
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| 246 | |
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| 247 | ENDDO |
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| 248 | |
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| 249 | ! |
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| 250 | !-- (4) - will allways be executed. |
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| 251 | !-- 'special case: free atmosphere' (as for case (0)) |
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| 252 | DO j = nys, nyn |
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| 253 | |
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| 254 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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| 255 | THEN |
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| 256 | |
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| 257 | k = nzb_diff_s_outer(j,i)-1 |
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| 258 | |
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| 259 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 260 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 261 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 262 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 263 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 264 | |
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| 265 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 266 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 267 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 268 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 269 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 270 | |
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| 271 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 272 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 273 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 274 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 275 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 276 | |
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| 277 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 278 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 279 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 280 | |
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| 281 | IF ( def < 0.0 ) def = 0.0 |
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| 282 | |
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| 283 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 284 | |
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| 285 | ENDIF |
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| 286 | |
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| 287 | ENDDO |
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| 288 | |
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| 289 | ! |
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| 290 | !-- Position without adjacent wall |
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| 291 | !-- (1) - will allways be executed. |
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| 292 | !-- 'bottom only: use u_0,v_0' |
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| 293 | DO j = nys, nyn |
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| 294 | |
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| 295 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
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| 296 | THEN |
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| 297 | |
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| 298 | k = nzb_diff_s_inner(j,i)-1 |
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| 299 | |
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| 300 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 301 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 302 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 303 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 304 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 305 | |
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| 306 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 307 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 308 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 309 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 310 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 311 | |
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| 312 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 313 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 314 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 315 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 316 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 317 | |
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| 318 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 319 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 320 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 321 | |
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| 322 | IF ( def < 0.0 ) def = 0.0 |
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| 323 | |
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| 324 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 325 | |
|---|
| 326 | ENDIF |
|---|
| 327 | |
|---|
| 328 | ENDDO |
|---|
| 329 | |
|---|
| 330 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 331 | |
|---|
| 332 | DO j = nys, nyn |
|---|
| 333 | |
|---|
| 334 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 335 | |
|---|
| 336 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 337 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 338 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 339 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 340 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 341 | |
|---|
| 342 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 343 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 344 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 345 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 346 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 347 | |
|---|
| 348 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 349 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 350 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 351 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 352 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 353 | |
|---|
| 354 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 355 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 356 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 357 | |
|---|
| 358 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 359 | |
|---|
| 360 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 361 | |
|---|
| 362 | ENDDO |
|---|
| 363 | |
|---|
| 364 | ENDIF |
|---|
| 365 | |
|---|
| 366 | ! |
|---|
| 367 | !-- Calculate TKE production by buoyancy |
|---|
| 368 | IF ( .NOT. humidity ) THEN |
|---|
| 369 | |
|---|
| 370 | IF ( use_reference ) THEN |
|---|
| 371 | |
|---|
| 372 | IF ( ocean ) THEN |
|---|
| 373 | ! |
|---|
| 374 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 375 | !-- the bottom and top surface layer |
|---|
| 376 | DO j = nys, nyn |
|---|
| 377 | DO k = nzb_s_inner(j,i), nzt |
|---|
| 378 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 379 | kh(k,j,i) * g / prho_reference * & |
|---|
| 380 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 381 | ENDDO |
|---|
| 382 | ENDDO |
|---|
| 383 | |
|---|
| 384 | ELSE |
|---|
| 385 | |
|---|
| 386 | DO j = nys, nyn |
|---|
| 387 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 388 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 389 | kh(k,j,i) * g / pt_reference * & |
|---|
| 390 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 391 | ENDDO |
|---|
| 392 | |
|---|
| 393 | IF ( use_surface_fluxes ) THEN |
|---|
| 394 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 395 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 396 | ENDIF |
|---|
| 397 | |
|---|
| 398 | IF ( use_top_fluxes ) THEN |
|---|
| 399 | k = nzt |
|---|
| 400 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 401 | tswst(j,i) |
|---|
| 402 | ENDIF |
|---|
| 403 | ENDDO |
|---|
| 404 | |
|---|
| 405 | ENDIF |
|---|
| 406 | |
|---|
| 407 | ELSE |
|---|
| 408 | |
|---|
| 409 | IF ( ocean ) THEN |
|---|
| 410 | ! |
|---|
| 411 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 412 | !-- the bottom and top surface layer |
|---|
| 413 | DO j = nys, nyn |
|---|
| 414 | DO k = nzb_s_inner(j,i), nzt |
|---|
| 415 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 416 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 417 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 418 | ENDDO |
|---|
| 419 | ENDDO |
|---|
| 420 | |
|---|
| 421 | ELSE |
|---|
| 422 | |
|---|
| 423 | DO j = nys, nyn |
|---|
| 424 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 425 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 426 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 427 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 428 | ENDDO |
|---|
| 429 | |
|---|
| 430 | IF ( use_surface_fluxes ) THEN |
|---|
| 431 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 432 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 433 | ENDIF |
|---|
| 434 | |
|---|
| 435 | IF ( use_top_fluxes ) THEN |
|---|
| 436 | k = nzt |
|---|
| 437 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 438 | ENDIF |
|---|
| 439 | ENDDO |
|---|
| 440 | |
|---|
| 441 | ENDIF |
|---|
| 442 | |
|---|
| 443 | ENDIF |
|---|
| 444 | |
|---|
| 445 | ELSE |
|---|
| 446 | |
|---|
| 447 | DO j = nys, nyn |
|---|
| 448 | |
|---|
| 449 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 450 | |
|---|
| 451 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 452 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 453 | k2 = 0.61 * pt(k,j,i) |
|---|
| 454 | ELSE |
|---|
| 455 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 456 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 457 | k2 = 0.61 * pt(k,j,i) |
|---|
| 458 | ELSE |
|---|
| 459 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 460 | temp = theta * t_d_pt(k) |
|---|
| 461 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 462 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 463 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 464 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 465 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 466 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 467 | ENDIF |
|---|
| 468 | ENDIF |
|---|
| 469 | |
|---|
| 470 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 471 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 472 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 473 | ) * dd2zu(k) |
|---|
| 474 | ENDDO |
|---|
| 475 | |
|---|
| 476 | ENDDO |
|---|
| 477 | |
|---|
| 478 | IF ( use_surface_fluxes ) THEN |
|---|
| 479 | |
|---|
| 480 | DO j = nys, nyn |
|---|
| 481 | |
|---|
| 482 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 483 | |
|---|
| 484 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 485 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 486 | k2 = 0.61 * pt(k,j,i) |
|---|
| 487 | ELSE |
|---|
| 488 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 489 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 490 | k2 = 0.61 * pt(k,j,i) |
|---|
| 491 | ELSE |
|---|
| 492 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 493 | temp = theta * t_d_pt(k) |
|---|
| 494 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 495 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 496 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 497 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 498 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 499 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 500 | ENDIF |
|---|
| 501 | ENDIF |
|---|
| 502 | |
|---|
| 503 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 504 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 505 | ENDDO |
|---|
| 506 | |
|---|
| 507 | ENDIF |
|---|
| 508 | |
|---|
| 509 | IF ( use_top_fluxes ) THEN |
|---|
| 510 | |
|---|
| 511 | DO j = nys, nyn |
|---|
| 512 | |
|---|
| 513 | k = nzt |
|---|
| 514 | |
|---|
| 515 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 516 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 517 | k2 = 0.61 * pt(k,j,i) |
|---|
| 518 | ELSE |
|---|
| 519 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 520 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 521 | k2 = 0.61 * pt(k,j,i) |
|---|
| 522 | ELSE |
|---|
| 523 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 524 | temp = theta * t_d_pt(k) |
|---|
| 525 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 526 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 527 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 528 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 529 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 530 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 531 | ENDIF |
|---|
| 532 | ENDIF |
|---|
| 533 | |
|---|
| 534 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 535 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 536 | ENDDO |
|---|
| 537 | |
|---|
| 538 | ENDIF |
|---|
| 539 | |
|---|
| 540 | ENDIF |
|---|
| 541 | |
|---|
| 542 | ENDDO |
|---|
| 543 | |
|---|
| 544 | END SUBROUTINE production_e |
|---|
| 545 | |
|---|
| 546 | |
|---|
| 547 | !------------------------------------------------------------------------------! |
|---|
| 548 | ! Call for grid point i,j |
|---|
| 549 | !------------------------------------------------------------------------------! |
|---|
| 550 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 551 | |
|---|
| 552 | USE arrays_3d |
|---|
| 553 | USE cloud_parameters |
|---|
| 554 | USE control_parameters |
|---|
| 555 | USE grid_variables |
|---|
| 556 | USE indices |
|---|
| 557 | USE statistics |
|---|
| 558 | |
|---|
| 559 | IMPLICIT NONE |
|---|
| 560 | |
|---|
| 561 | INTEGER :: i, j, k |
|---|
| 562 | |
|---|
| 563 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| 564 | k1, k2, theta, temp |
|---|
| 565 | |
|---|
| 566 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
|---|
| 567 | |
|---|
| 568 | ! |
|---|
| 569 | !-- Calculate TKE production by shear |
|---|
| 570 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| 571 | |
|---|
| 572 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 573 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 574 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 575 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 576 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 577 | |
|---|
| 578 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 579 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 580 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 581 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 582 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 583 | |
|---|
| 584 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 585 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 586 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 587 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 588 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 589 | |
|---|
| 590 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 591 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 592 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 593 | |
|---|
| 594 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 595 | |
|---|
| 596 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 597 | |
|---|
| 598 | ENDDO |
|---|
| 599 | |
|---|
| 600 | IF ( prandtl_layer ) THEN |
|---|
| 601 | |
|---|
| 602 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
|---|
| 603 | |
|---|
| 604 | ! |
|---|
| 605 | !-- Position beneath wall |
|---|
| 606 | !-- (2) - Will allways be executed. |
|---|
| 607 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 608 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 609 | |
|---|
| 610 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 611 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 612 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 613 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 614 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 615 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 616 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 617 | |
|---|
| 618 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 619 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 620 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 621 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 622 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 623 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 624 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| 625 | ELSE |
|---|
| 626 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 627 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 628 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 629 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 630 | ENDIF |
|---|
| 631 | |
|---|
| 632 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 633 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 634 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 635 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 636 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 637 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 638 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| 639 | ELSE |
|---|
| 640 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 641 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 642 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 643 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 644 | ENDIF |
|---|
| 645 | |
|---|
| 646 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 647 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 648 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 649 | |
|---|
| 650 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 651 | |
|---|
| 652 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 653 | |
|---|
| 654 | ! |
|---|
| 655 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 656 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 657 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 658 | !-- already been calculated for (2). |
|---|
| 659 | !-- 'wall only: use wall functions' |
|---|
| 660 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 661 | |
|---|
| 662 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 663 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 664 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 665 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 666 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 667 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 668 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 669 | |
|---|
| 670 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 671 | dudy = wall_e_y(j,i) * usvs(k) / km(k,j,i) |
|---|
| 672 | dwdy = wall_e_y(j,i) * wsvs(k) / km(k,j,i) |
|---|
| 673 | ELSE |
|---|
| 674 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 675 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 676 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 677 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 678 | ENDIF |
|---|
| 679 | |
|---|
| 680 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 681 | dvdx = wall_e_x(j,i) * vsus(k) / km(k,j,i) |
|---|
| 682 | dwdx = wall_e_x(j,i) * wsus(k) / km(k,j,i) |
|---|
| 683 | ELSE |
|---|
| 684 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 685 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 686 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 687 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 688 | ENDIF |
|---|
| 689 | |
|---|
| 690 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 691 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 692 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 693 | |
|---|
| 694 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 695 | |
|---|
| 696 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 697 | |
|---|
| 698 | ENDDO |
|---|
| 699 | |
|---|
| 700 | ! |
|---|
| 701 | !-- (4) - will allways be executed. |
|---|
| 702 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 703 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 704 | |
|---|
| 705 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 706 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 707 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 708 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 709 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 710 | |
|---|
| 711 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 712 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 713 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 714 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 715 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 716 | |
|---|
| 717 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 718 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 719 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 720 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 721 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 722 | |
|---|
| 723 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 724 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 725 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 726 | |
|---|
| 727 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 728 | |
|---|
| 729 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 730 | |
|---|
| 731 | ELSE |
|---|
| 732 | |
|---|
| 733 | ! |
|---|
| 734 | !-- Position without adjacent wall |
|---|
| 735 | !-- (1) - will allways be executed. |
|---|
| 736 | !-- 'bottom only: use u_0,v_0' |
|---|
| 737 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 738 | |
|---|
| 739 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 740 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 741 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 742 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 743 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 744 | |
|---|
| 745 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 746 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 747 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 748 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 749 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 750 | |
|---|
| 751 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 752 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 753 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 754 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 755 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 756 | |
|---|
| 757 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 758 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 759 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 760 | |
|---|
| 761 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 762 | |
|---|
| 763 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 764 | |
|---|
| 765 | ENDIF |
|---|
| 766 | |
|---|
| 767 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 768 | |
|---|
| 769 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 770 | |
|---|
| 771 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 772 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 773 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 774 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 775 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 776 | |
|---|
| 777 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 778 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 779 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 780 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 781 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 782 | |
|---|
| 783 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 784 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 785 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 786 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 787 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 788 | |
|---|
| 789 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 790 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 791 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 792 | |
|---|
| 793 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 794 | |
|---|
| 795 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 796 | |
|---|
| 797 | ENDIF |
|---|
| 798 | |
|---|
| 799 | ! |
|---|
| 800 | !-- Calculate TKE production by buoyancy |
|---|
| 801 | IF ( .NOT. humidity ) THEN |
|---|
| 802 | |
|---|
| 803 | IF ( use_reference ) THEN |
|---|
| 804 | |
|---|
| 805 | IF ( ocean ) THEN |
|---|
| 806 | ! |
|---|
| 807 | !-- So far in the ocean no special treatment of density flux in the |
|---|
| 808 | !-- bottom and top surface layer |
|---|
| 809 | DO k = nzb_s_inner(j,i), nzt |
|---|
| 810 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / prho_reference * & |
|---|
| 811 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 812 | ENDDO |
|---|
| 813 | |
|---|
| 814 | ELSE |
|---|
| 815 | |
|---|
| 816 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 817 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt_reference * & |
|---|
| 818 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 819 | ENDDO |
|---|
| 820 | |
|---|
| 821 | IF ( use_surface_fluxes ) THEN |
|---|
| 822 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 823 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 824 | ENDIF |
|---|
| 825 | |
|---|
| 826 | IF ( use_top_fluxes ) THEN |
|---|
| 827 | k = nzt |
|---|
| 828 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
|---|
| 829 | ENDIF |
|---|
| 830 | |
|---|
| 831 | ENDIF |
|---|
| 832 | |
|---|
| 833 | ELSE |
|---|
| 834 | |
|---|
| 835 | IF ( ocean ) THEN |
|---|
| 836 | ! |
|---|
| 837 | !-- So far in the ocean no special treatment of density flux in the |
|---|
| 838 | !-- bottom and top surface layer |
|---|
| 839 | DO k = nzb_s_inner(j,i), nzt |
|---|
| 840 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 841 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 842 | ENDDO |
|---|
| 843 | |
|---|
| 844 | ELSE |
|---|
| 845 | |
|---|
| 846 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 847 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 848 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 849 | ENDDO |
|---|
| 850 | |
|---|
| 851 | IF ( use_surface_fluxes ) THEN |
|---|
| 852 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 853 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 854 | ENDIF |
|---|
| 855 | |
|---|
| 856 | IF ( use_top_fluxes ) THEN |
|---|
| 857 | k = nzt |
|---|
| 858 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 859 | ENDIF |
|---|
| 860 | |
|---|
| 861 | ENDIF |
|---|
| 862 | |
|---|
| 863 | ENDIF |
|---|
| 864 | |
|---|
| 865 | ELSE |
|---|
| 866 | |
|---|
| 867 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 868 | |
|---|
| 869 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 870 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 871 | k2 = 0.61 * pt(k,j,i) |
|---|
| 872 | ELSE |
|---|
| 873 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 874 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 875 | k2 = 0.61 * pt(k,j,i) |
|---|
| 876 | ELSE |
|---|
| 877 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 878 | temp = theta * t_d_pt(k) |
|---|
| 879 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 880 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 881 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 882 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 883 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 884 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 885 | ENDIF |
|---|
| 886 | ENDIF |
|---|
| 887 | |
|---|
| 888 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 889 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 890 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 891 | ) * dd2zu(k) |
|---|
| 892 | ENDDO |
|---|
| 893 | |
|---|
| 894 | IF ( use_surface_fluxes ) THEN |
|---|
| 895 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 896 | |
|---|
| 897 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 898 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 899 | k2 = 0.61 * pt(k,j,i) |
|---|
| 900 | ELSE |
|---|
| 901 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 902 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 903 | k2 = 0.61 * pt(k,j,i) |
|---|
| 904 | ELSE |
|---|
| 905 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 906 | temp = theta * t_d_pt(k) |
|---|
| 907 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 908 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 909 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 910 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 911 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 912 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 913 | ENDIF |
|---|
| 914 | ENDIF |
|---|
| 915 | |
|---|
| 916 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 917 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 918 | ENDIF |
|---|
| 919 | |
|---|
| 920 | IF ( use_top_fluxes ) THEN |
|---|
| 921 | k = nzt |
|---|
| 922 | |
|---|
| 923 | IF ( .NOT. cloud_physics ) THEN |
|---|
| 924 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 925 | k2 = 0.61 * pt(k,j,i) |
|---|
| 926 | ELSE |
|---|
| 927 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 928 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 929 | k2 = 0.61 * pt(k,j,i) |
|---|
| 930 | ELSE |
|---|
| 931 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 932 | temp = theta * t_d_pt(k) |
|---|
| 933 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 934 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 935 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 936 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 937 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 938 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 939 | ENDIF |
|---|
| 940 | ENDIF |
|---|
| 941 | |
|---|
| 942 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 943 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 944 | ENDIF |
|---|
| 945 | |
|---|
| 946 | ENDIF |
|---|
| 947 | |
|---|
| 948 | END SUBROUTINE production_e_ij |
|---|
| 949 | |
|---|
| 950 | |
|---|
| 951 | SUBROUTINE production_e_init |
|---|
| 952 | |
|---|
| 953 | USE arrays_3d |
|---|
| 954 | USE control_parameters |
|---|
| 955 | USE grid_variables |
|---|
| 956 | USE indices |
|---|
| 957 | |
|---|
| 958 | IMPLICIT NONE |
|---|
| 959 | |
|---|
| 960 | INTEGER :: i, j, ku, kv |
|---|
| 961 | |
|---|
| 962 | IF ( prandtl_layer ) THEN |
|---|
| 963 | |
|---|
| 964 | IF ( first_call ) THEN |
|---|
| 965 | ALLOCATE( u_0(nys-1:nyn+1,nxl-1:nxr+1), & |
|---|
| 966 | v_0(nys-1:nyn+1,nxl-1:nxr+1) ) |
|---|
| 967 | first_call = .FALSE. |
|---|
| 968 | ENDIF |
|---|
| 969 | |
|---|
| 970 | ! |
|---|
| 971 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 972 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 973 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 974 | !-- production term at k=1 (see production_e_ij). |
|---|
| 975 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 976 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 977 | !-- surface winds). |
|---|
| 978 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 979 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 980 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
|---|
| 981 | DO i = nxl, nxr |
|---|
| 982 | DO j = nys, nyn |
|---|
| 983 | |
|---|
| 984 | ku = nzb_u_inner(j,i)+1 |
|---|
| 985 | kv = nzb_v_inner(j,i)+1 |
|---|
| 986 | |
|---|
| 987 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
|---|
| 988 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
|---|
| 989 | 1.0E-20 ) |
|---|
| 990 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 991 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
|---|
| 992 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
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| 993 | 1.0E-20 ) |
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| 994 | ! ( us(j,i) * kappa * zu(1) ) |
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| 995 | |
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| 996 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
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| 997 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
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| 998 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
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| 999 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
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| 1000 | |
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| 1001 | ENDDO |
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| 1002 | ENDDO |
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| 1003 | |
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| 1004 | CALL exchange_horiz_2d( u_0 ) |
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| 1005 | CALL exchange_horiz_2d( v_0 ) |
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| 1006 | |
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| 1007 | ENDIF |
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| 1008 | |
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| 1009 | END SUBROUTINE production_e_init |
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| 1010 | |
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| 1011 | END MODULE production_e_mod |
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