| 1 | MODULE production_e_mod |
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| 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2012 Leibniz University Hannover |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_e.f90 1258 2013-11-08 16:09:09Z heinze $ |
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| 27 | ! |
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| 28 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 29 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 30 | ! the FORTRAN declaration statement |
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| 31 | ! |
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| 32 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 33 | ! use_reference renamed use_single_reference_value |
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| 34 | ! |
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| 35 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 36 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 37 | ! j_north |
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| 38 | ! |
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| 39 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 40 | ! code put under GPL (PALM 3.9) |
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| 41 | ! |
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| 42 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 43 | ! accelerator version (*_acc) added |
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| 44 | ! |
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| 45 | ! 1007 2012-09-19 14:30:36Z franke |
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| 46 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 47 | ! mixing ratio in case of cloud droplets |
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| 48 | ! |
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| 49 | ! 940 2012-07-09 14:31:00Z raasch |
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| 50 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 51 | ! neutral stratification |
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| 52 | ! |
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| 53 | ! 759 2011-09-15 13:58:31Z raasch |
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| 54 | ! initialization of u_0, v_0 |
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| 55 | ! |
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| 56 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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| 57 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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| 58 | ! |
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| 59 | ! 449 2010-02-02 11:23:59Z raasch |
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| 60 | ! test output from rev 410 removed |
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| 61 | ! |
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| 62 | ! 388 2009-09-23 09:40:33Z raasch |
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| 63 | ! Bugfix: wrong sign in buoyancy production of ocean part in case of not using |
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| 64 | ! the reference density (only in 3D routine production_e) |
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| 65 | ! Bugfix to avoid zero division by km_neutral |
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| 66 | ! |
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| 67 | ! 208 2008-10-20 06:02:59Z raasch |
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| 68 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
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| 69 | ! in case of diabatic conditions |
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| 70 | ! |
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| 71 | ! 187 2008-08-06 16:25:09Z letzel |
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| 72 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
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| 73 | ! consistency with subroutine wall_fluxes |
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| 74 | ! |
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| 75 | ! 124 2007-10-19 15:47:46Z raasch |
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| 76 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
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| 77 | ! |
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| 78 | ! 108 2007-08-24 15:10:38Z letzel |
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| 79 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
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| 80 | ! use_reference = .T., |
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| 81 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
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| 82 | ! not available in case of non-cyclic boundary conditions) |
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| 83 | ! Bugfix for ocean density flux at bottom |
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| 84 | ! |
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| 85 | ! 97 2007-06-21 08:23:15Z raasch |
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| 86 | ! Energy production by density flux (in ocean) added |
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| 87 | ! use_pt_reference renamed use_reference |
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| 88 | ! |
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| 89 | ! 75 2007-03-22 09:54:05Z raasch |
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| 90 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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| 91 | ! reference temperature pt_reference can be used in buoyancy term, |
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| 92 | ! moisture renamed humidity |
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| 93 | ! |
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| 94 | ! 37 2007-03-01 08:33:54Z raasch |
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| 95 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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| 96 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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| 97 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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| 98 | ! |
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| 99 | ! RCS Log replace by Id keyword, revision history cleaned up |
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| 100 | ! |
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| 101 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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| 102 | ! OpenMP parallelization of production_e_init |
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| 103 | ! |
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| 104 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 105 | ! Initial revision |
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| 106 | ! |
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| 107 | ! |
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| 108 | ! Description: |
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| 109 | ! ------------ |
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| 110 | ! Production terms (shear + buoyancy) of the TKE |
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| 111 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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| 112 | ! not considered well! |
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| 113 | !------------------------------------------------------------------------------! |
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| 114 | |
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| 115 | USE wall_fluxes_mod |
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| 116 | |
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| 117 | PRIVATE |
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| 118 | PUBLIC production_e, production_e_acc, production_e_init |
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| 119 | |
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| 120 | LOGICAL, SAVE :: first_call = .TRUE. |
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| 121 | |
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| 122 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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| 123 | |
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| 124 | INTERFACE production_e |
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| 125 | MODULE PROCEDURE production_e |
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| 126 | MODULE PROCEDURE production_e_ij |
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| 127 | END INTERFACE production_e |
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| 128 | |
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| 129 | INTERFACE production_e_acc |
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| 130 | MODULE PROCEDURE production_e_acc |
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| 131 | END INTERFACE production_e_acc |
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| 132 | |
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| 133 | INTERFACE production_e_init |
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| 134 | MODULE PROCEDURE production_e_init |
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| 135 | END INTERFACE production_e_init |
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| 136 | |
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| 137 | CONTAINS |
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| 138 | |
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| 139 | |
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| 140 | !------------------------------------------------------------------------------! |
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| 141 | ! Call for all grid points |
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| 142 | !------------------------------------------------------------------------------! |
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| 143 | SUBROUTINE production_e |
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| 144 | |
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| 145 | USE arrays_3d |
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| 146 | USE cloud_parameters |
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| 147 | USE control_parameters |
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| 148 | USE grid_variables |
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| 149 | USE indices |
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| 150 | USE statistics |
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| 151 | |
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| 152 | IMPLICIT NONE |
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| 153 | |
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| 154 | INTEGER :: i, j, k |
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| 155 | |
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| 156 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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| 157 | k1, k2, km_neutral, theta, temp |
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| 158 | |
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| 159 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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| 160 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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| 161 | |
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| 162 | ! |
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| 163 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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| 164 | !-- vertical walls, if neccessary |
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| 165 | !-- So far, results are slightly different from the ij-Version. |
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| 166 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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| 167 | ! IF ( topography /= 'flat' ) THEN |
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| 168 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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| 169 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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| 170 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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| 171 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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| 172 | ! ENDIF |
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| 173 | |
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| 174 | |
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| 175 | DO i = nxl, nxr |
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| 176 | |
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| 177 | ! |
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| 178 | !-- Calculate TKE production by shear |
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| 179 | DO j = nys, nyn |
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| 180 | DO k = nzb_diff_s_outer(j,i), nzt |
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| 181 | |
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| 182 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 183 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 184 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 185 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 186 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 187 | |
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| 188 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 189 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 190 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 191 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 192 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 193 | |
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| 194 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 195 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 196 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 197 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 198 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 199 | |
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| 200 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 201 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 202 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 203 | |
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| 204 | IF ( def < 0.0 ) def = 0.0 |
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| 205 | |
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| 206 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 207 | |
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| 208 | ENDDO |
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| 209 | ENDDO |
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| 210 | |
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| 211 | IF ( prandtl_layer ) THEN |
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| 212 | |
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| 213 | ! |
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| 214 | !-- Position beneath wall |
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| 215 | !-- (2) - Will allways be executed. |
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| 216 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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| 217 | DO j = nys, nyn |
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| 218 | |
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| 219 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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| 220 | THEN |
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| 221 | |
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| 222 | k = nzb_diff_s_inner(j,i) - 1 |
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| 223 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 224 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 225 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 226 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 227 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 228 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 229 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 230 | |
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| 231 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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| 232 | ! |
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| 233 | !-- Inconsistency removed: as the thermal stratification is |
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| 234 | !-- not taken into account for the evaluation of the wall |
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| 235 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 236 | !-- be used for the evaluation of the velocity gradients dudy |
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| 237 | !-- and dwdy |
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| 238 | !-- Note: The validity of the new method has not yet been |
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| 239 | !-- shown, as so far no suitable data for a validation |
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| 240 | !-- has been available |
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| 241 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 242 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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| 243 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 244 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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| 245 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
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| 246 | 0.5 * dy |
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| 247 | IF ( km_neutral > 0.0 ) THEN |
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| 248 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 249 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 250 | ELSE |
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| 251 | dudy = 0.0 |
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| 252 | dwdy = 0.0 |
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| 253 | ENDIF |
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| 254 | ELSE |
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| 255 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 256 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 257 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 258 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 259 | ENDIF |
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| 260 | |
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| 261 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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| 262 | ! |
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| 263 | !-- Inconsistency removed: as the thermal stratification is |
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| 264 | !-- not taken into account for the evaluation of the wall |
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| 265 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 266 | !-- be used for the evaluation of the velocity gradients dvdx |
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| 267 | !-- and dwdx |
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| 268 | !-- Note: The validity of the new method has not yet been |
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| 269 | !-- shown, as so far no suitable data for a validation |
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| 270 | !-- has been available |
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| 271 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 272 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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| 273 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 274 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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| 275 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
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| 276 | 0.5 * dx |
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| 277 | IF ( km_neutral > 0.0 ) THEN |
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| 278 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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| 279 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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| 280 | ELSE |
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| 281 | dvdx = 0.0 |
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| 282 | dwdx = 0.0 |
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| 283 | ENDIF |
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| 284 | ELSE |
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| 285 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 286 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 287 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 288 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 289 | ENDIF |
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| 290 | |
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| 291 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 292 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 293 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 294 | |
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| 295 | IF ( def < 0.0 ) def = 0.0 |
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| 296 | |
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| 297 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 298 | |
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| 299 | |
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| 300 | ! |
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| 301 | !-- (3) - will be executed only, if there is at least one level |
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| 302 | !-- between (2) and (4), i.e. the topography must have a |
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| 303 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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| 304 | !-- already been calculated for (2). |
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| 305 | !-- 'wall only: use wall functions' |
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| 306 | |
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| 307 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 308 | |
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| 309 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 310 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 311 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 312 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 313 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 314 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 315 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 316 | |
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| 317 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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| 318 | ! |
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| 319 | !-- Inconsistency removed: as the thermal stratification |
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| 320 | !-- is not taken into account for the evaluation of the |
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| 321 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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| 322 | !-- must not be used for the evaluation of the velocity |
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| 323 | !-- gradients dudy and dwdy |
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| 324 | !-- Note: The validity of the new method has not yet |
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| 325 | !-- been shown, as so far no suitable data for a |
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| 326 | !-- validation has been available |
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| 327 | km_neutral = kappa * ( usvs(k)**2 + & |
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| 328 | wsvs(k)**2 )**0.25 * 0.5 * dy |
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| 329 | IF ( km_neutral > 0.0 ) THEN |
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| 330 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 331 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 332 | ELSE |
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| 333 | dudy = 0.0 |
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| 334 | dwdy = 0.0 |
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| 335 | ENDIF |
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| 336 | ELSE |
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| 337 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 338 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 339 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 340 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 341 | ENDIF |
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| 342 | |
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| 343 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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| 344 | ! |
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| 345 | !-- Inconsistency removed: as the thermal stratification |
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| 346 | !-- is not taken into account for the evaluation of the |
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| 347 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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| 348 | !-- must not be used for the evaluation of the velocity |
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| 349 | !-- gradients dvdx and dwdx |
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| 350 | !-- Note: The validity of the new method has not yet |
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| 351 | !-- been shown, as so far no suitable data for a |
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| 352 | !-- validation has been available |
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| 353 | km_neutral = kappa * ( vsus(k)**2 + & |
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| 354 | wsus(k)**2 )**0.25 * 0.5 * dx |
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| 355 | IF ( km_neutral > 0.0 ) THEN |
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| 356 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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| 357 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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| 358 | ELSE |
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| 359 | dvdx = 0.0 |
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| 360 | dwdx = 0.0 |
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| 361 | ENDIF |
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| 362 | ELSE |
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| 363 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 364 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 365 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 366 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 367 | ENDIF |
|---|
| 368 | |
|---|
| 369 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 370 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 371 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 372 | |
|---|
| 373 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 374 | |
|---|
| 375 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 376 | |
|---|
| 377 | ENDDO |
|---|
| 378 | |
|---|
| 379 | ENDIF |
|---|
| 380 | |
|---|
| 381 | ENDDO |
|---|
| 382 | |
|---|
| 383 | ! |
|---|
| 384 | !-- (4) - will allways be executed. |
|---|
| 385 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 386 | DO j = nys, nyn |
|---|
| 387 | |
|---|
| 388 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 389 | THEN |
|---|
| 390 | |
|---|
| 391 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 392 | |
|---|
| 393 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 394 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 395 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 396 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 397 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 398 | |
|---|
| 399 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 400 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 401 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 402 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 403 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 404 | |
|---|
| 405 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 406 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 407 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 408 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 409 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 410 | |
|---|
| 411 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 412 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 413 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 414 | |
|---|
| 415 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 416 | |
|---|
| 417 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 418 | |
|---|
| 419 | ENDIF |
|---|
| 420 | |
|---|
| 421 | ENDDO |
|---|
| 422 | |
|---|
| 423 | ! |
|---|
| 424 | !-- Position without adjacent wall |
|---|
| 425 | !-- (1) - will allways be executed. |
|---|
| 426 | !-- 'bottom only: use u_0,v_0' |
|---|
| 427 | DO j = nys, nyn |
|---|
| 428 | |
|---|
| 429 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
|---|
| 430 | THEN |
|---|
| 431 | |
|---|
| 432 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 433 | |
|---|
| 434 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 435 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 436 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 437 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 438 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 439 | |
|---|
| 440 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 441 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 442 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 443 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 444 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 445 | |
|---|
| 446 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 447 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 448 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 449 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 450 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 451 | |
|---|
| 452 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 453 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 454 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 455 | |
|---|
| 456 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 457 | |
|---|
| 458 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 459 | |
|---|
| 460 | ENDIF |
|---|
| 461 | |
|---|
| 462 | ENDDO |
|---|
| 463 | |
|---|
| 464 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 465 | |
|---|
| 466 | DO j = nys, nyn |
|---|
| 467 | |
|---|
| 468 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 469 | |
|---|
| 470 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 471 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 472 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 473 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 474 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 475 | |
|---|
| 476 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 477 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 478 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 479 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 480 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 481 | |
|---|
| 482 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 483 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 484 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 485 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 486 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 487 | |
|---|
| 488 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 489 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 490 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 491 | |
|---|
| 492 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 493 | |
|---|
| 494 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 495 | |
|---|
| 496 | ENDDO |
|---|
| 497 | |
|---|
| 498 | ENDIF |
|---|
| 499 | |
|---|
| 500 | ! |
|---|
| 501 | !-- If required, calculate TKE production by buoyancy |
|---|
| 502 | IF ( .NOT. neutral ) THEN |
|---|
| 503 | |
|---|
| 504 | IF ( .NOT. humidity ) THEN |
|---|
| 505 | |
|---|
| 506 | IF ( use_single_reference_value ) THEN |
|---|
| 507 | |
|---|
| 508 | IF ( ocean ) THEN |
|---|
| 509 | ! |
|---|
| 510 | !-- So far in the ocean no special treatment of density flux |
|---|
| 511 | !-- in the bottom and top surface layer |
|---|
| 512 | DO j = nys, nyn |
|---|
| 513 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 514 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 515 | kh(k,j,i) * g / rho_reference * & |
|---|
| 516 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 517 | dd2zu(k) |
|---|
| 518 | ENDDO |
|---|
| 519 | ENDDO |
|---|
| 520 | |
|---|
| 521 | ELSE |
|---|
| 522 | |
|---|
| 523 | DO j = nys, nyn |
|---|
| 524 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 525 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 526 | kh(k,j,i) * g / pt_reference * & |
|---|
| 527 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 528 | dd2zu(k) |
|---|
| 529 | ENDDO |
|---|
| 530 | |
|---|
| 531 | IF ( use_surface_fluxes ) THEN |
|---|
| 532 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 533 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 534 | shf(j,i) |
|---|
| 535 | ENDIF |
|---|
| 536 | |
|---|
| 537 | IF ( use_top_fluxes ) THEN |
|---|
| 538 | k = nzt |
|---|
| 539 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 540 | tswst(j,i) |
|---|
| 541 | ENDIF |
|---|
| 542 | ENDDO |
|---|
| 543 | |
|---|
| 544 | ENDIF |
|---|
| 545 | |
|---|
| 546 | ELSE |
|---|
| 547 | |
|---|
| 548 | IF ( ocean ) THEN |
|---|
| 549 | ! |
|---|
| 550 | !-- So far in the ocean no special treatment of density flux |
|---|
| 551 | !-- in the bottom and top surface layer |
|---|
| 552 | DO j = nys, nyn |
|---|
| 553 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 554 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 555 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 556 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 557 | dd2zu(k) |
|---|
| 558 | ENDDO |
|---|
| 559 | ENDDO |
|---|
| 560 | |
|---|
| 561 | ELSE |
|---|
| 562 | |
|---|
| 563 | DO j = nys, nyn |
|---|
| 564 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 565 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 566 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 567 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 568 | dd2zu(k) |
|---|
| 569 | ENDDO |
|---|
| 570 | |
|---|
| 571 | IF ( use_surface_fluxes ) THEN |
|---|
| 572 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 573 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 574 | shf(j,i) |
|---|
| 575 | ENDIF |
|---|
| 576 | |
|---|
| 577 | IF ( use_top_fluxes ) THEN |
|---|
| 578 | k = nzt |
|---|
| 579 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 580 | tswst(j,i) |
|---|
| 581 | ENDIF |
|---|
| 582 | ENDDO |
|---|
| 583 | |
|---|
| 584 | ENDIF |
|---|
| 585 | |
|---|
| 586 | ENDIF |
|---|
| 587 | |
|---|
| 588 | ELSE |
|---|
| 589 | |
|---|
| 590 | DO j = nys, nyn |
|---|
| 591 | |
|---|
| 592 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 593 | |
|---|
| 594 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 595 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 596 | k2 = 0.61 * pt(k,j,i) |
|---|
| 597 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 598 | g / vpt(k,j,i) * & |
|---|
| 599 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 600 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 601 | ) * dd2zu(k) |
|---|
| 602 | ELSE IF ( cloud_physics ) THEN |
|---|
| 603 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 604 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 605 | k2 = 0.61 * pt(k,j,i) |
|---|
| 606 | ELSE |
|---|
| 607 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 608 | temp = theta * t_d_pt(k) |
|---|
| 609 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 610 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 611 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 612 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 613 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 614 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 615 | ENDIF |
|---|
| 616 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 617 | g / vpt(k,j,i) * & |
|---|
| 618 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 619 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 620 | ) * dd2zu(k) |
|---|
| 621 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 622 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 623 | k2 = 0.61 * pt(k,j,i) |
|---|
| 624 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 625 | kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 626 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
|---|
| 627 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 628 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 629 | ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 630 | ENDIF |
|---|
| 631 | |
|---|
| 632 | ENDDO |
|---|
| 633 | |
|---|
| 634 | ENDDO |
|---|
| 635 | |
|---|
| 636 | IF ( use_surface_fluxes ) THEN |
|---|
| 637 | |
|---|
| 638 | DO j = nys, nyn |
|---|
| 639 | |
|---|
| 640 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 641 | |
|---|
| 642 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 643 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 644 | k2 = 0.61 * pt(k,j,i) |
|---|
| 645 | ELSE IF ( cloud_physics ) THEN |
|---|
| 646 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 647 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 648 | k2 = 0.61 * pt(k,j,i) |
|---|
| 649 | ELSE |
|---|
| 650 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 651 | temp = theta * t_d_pt(k) |
|---|
| 652 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 653 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 654 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 655 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 656 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 657 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 658 | ENDIF |
|---|
| 659 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 660 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 661 | k2 = 0.61 * pt(k,j,i) |
|---|
| 662 | ENDIF |
|---|
| 663 | |
|---|
| 664 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 665 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 666 | ENDDO |
|---|
| 667 | |
|---|
| 668 | ENDIF |
|---|
| 669 | |
|---|
| 670 | IF ( use_top_fluxes ) THEN |
|---|
| 671 | |
|---|
| 672 | DO j = nys, nyn |
|---|
| 673 | |
|---|
| 674 | k = nzt |
|---|
| 675 | |
|---|
| 676 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 677 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 678 | k2 = 0.61 * pt(k,j,i) |
|---|
| 679 | ELSE IF ( cloud_physics ) THEN |
|---|
| 680 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 681 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 682 | k2 = 0.61 * pt(k,j,i) |
|---|
| 683 | ELSE |
|---|
| 684 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 685 | temp = theta * t_d_pt(k) |
|---|
| 686 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 687 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 688 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 689 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 690 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 691 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 692 | ENDIF |
|---|
| 693 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 694 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 695 | k2 = 0.61 * pt(k,j,i) |
|---|
| 696 | ENDIF |
|---|
| 697 | |
|---|
| 698 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 699 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 700 | ENDDO |
|---|
| 701 | |
|---|
| 702 | ENDIF |
|---|
| 703 | |
|---|
| 704 | ENDIF |
|---|
| 705 | |
|---|
| 706 | ENDIF |
|---|
| 707 | |
|---|
| 708 | ENDDO |
|---|
| 709 | |
|---|
| 710 | END SUBROUTINE production_e |
|---|
| 711 | |
|---|
| 712 | |
|---|
| 713 | !------------------------------------------------------------------------------! |
|---|
| 714 | ! Call for all grid points - accelerator version |
|---|
| 715 | !------------------------------------------------------------------------------! |
|---|
| 716 | SUBROUTINE production_e_acc |
|---|
| 717 | |
|---|
| 718 | USE arrays_3d |
|---|
| 719 | USE cloud_parameters |
|---|
| 720 | USE control_parameters |
|---|
| 721 | USE grid_variables |
|---|
| 722 | USE indices |
|---|
| 723 | USE statistics |
|---|
| 724 | |
|---|
| 725 | IMPLICIT NONE |
|---|
| 726 | |
|---|
| 727 | INTEGER :: i, j, k |
|---|
| 728 | |
|---|
| 729 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| 730 | k1, k2, km_neutral, theta, temp |
|---|
| 731 | |
|---|
| 732 | REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
|---|
| 733 | !$acc declare create ( usvs, vsus, wsus, wsvs ) |
|---|
| 734 | |
|---|
| 735 | ! |
|---|
| 736 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
|---|
| 737 | !-- vertical walls, if neccessary |
|---|
| 738 | !-- CAUTION: results are slightly different from the ij-version!! |
|---|
| 739 | !-- ij-version should be called further below within the ij-loops!! |
|---|
| 740 | IF ( topography /= 'flat' ) THEN |
|---|
| 741 | CALL wall_fluxes_e_acc( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
|---|
| 742 | CALL wall_fluxes_e_acc( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
|---|
| 743 | CALL wall_fluxes_e_acc( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
|---|
| 744 | CALL wall_fluxes_e_acc( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
|---|
| 745 | ENDIF |
|---|
| 746 | |
|---|
| 747 | |
|---|
| 748 | ! |
|---|
| 749 | !-- Calculate TKE production by shear |
|---|
| 750 | !$acc kernels present( ddzw, dd2zu, kh, km, nzb_diff_s_inner, nzb_diff_s_outer ) & |
|---|
| 751 | !$acc present( nzb_s_inner, nzb_s_outer, pt, q, ql, qsws, qswst, rho ) & |
|---|
| 752 | !$acc present( shf, tend, tswst, u, v, vpt, w, wall_e_x, wall_e_y ) & |
|---|
| 753 | !$acc copyin( u_0, v_0 ) |
|---|
| 754 | DO i = i_left, i_right |
|---|
| 755 | DO j = j_south, j_north |
|---|
| 756 | DO k = 1, nzt |
|---|
| 757 | |
|---|
| 758 | IF ( k >= nzb_diff_s_outer(j,i) ) THEN |
|---|
| 759 | |
|---|
| 760 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 761 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 762 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 763 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 764 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 765 | |
|---|
| 766 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 767 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 768 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 769 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 770 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 771 | |
|---|
| 772 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 773 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 774 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 775 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 776 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 777 | |
|---|
| 778 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 779 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 780 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 781 | |
|---|
| 782 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 783 | |
|---|
| 784 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 785 | |
|---|
| 786 | ENDIF |
|---|
| 787 | |
|---|
| 788 | ENDDO |
|---|
| 789 | ENDDO |
|---|
| 790 | ENDDO |
|---|
| 791 | |
|---|
| 792 | IF ( prandtl_layer ) THEN |
|---|
| 793 | |
|---|
| 794 | ! |
|---|
| 795 | !-- Position beneath wall |
|---|
| 796 | !-- (2) - Will allways be executed. |
|---|
| 797 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 798 | DO i = i_left, i_right |
|---|
| 799 | DO j = j_south, j_north |
|---|
| 800 | DO k = 1, nzt |
|---|
| 801 | |
|---|
| 802 | IF ( ( wall_e_x(j,i) /= 0.0 ).OR.( wall_e_y(j,i) /= 0.0 ) ) & |
|---|
| 803 | THEN |
|---|
| 804 | |
|---|
| 805 | IF ( k == nzb_diff_s_inner(j,i) - 1 ) THEN |
|---|
| 806 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 807 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 808 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 809 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 810 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 811 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 812 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 813 | |
|---|
| 814 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 815 | ! |
|---|
| 816 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 817 | !-- not taken into account for the evaluation of the wall |
|---|
| 818 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 819 | !-- be used for the evaluation of the velocity gradients dudy |
|---|
| 820 | !-- and dwdy |
|---|
| 821 | !-- Note: The validity of the new method has not yet been |
|---|
| 822 | !-- shown, as so far no suitable data for a validation |
|---|
| 823 | !-- has been available |
|---|
| 824 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 825 | ! usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 826 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 827 | ! wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 828 | km_neutral = kappa * & |
|---|
| 829 | ( usvs(k,j,i)**2 + wsvs(k,j,i)**2 )**0.25 * & |
|---|
| 830 | 0.5 * dy |
|---|
| 831 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 832 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
|---|
| 833 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
|---|
| 834 | ELSE |
|---|
| 835 | dudy = 0.0 |
|---|
| 836 | dwdy = 0.0 |
|---|
| 837 | ENDIF |
|---|
| 838 | ELSE |
|---|
| 839 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 840 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 841 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 842 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 843 | ENDIF |
|---|
| 844 | |
|---|
| 845 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 846 | ! |
|---|
| 847 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 848 | !-- not taken into account for the evaluation of the wall |
|---|
| 849 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 850 | !-- be used for the evaluation of the velocity gradients dvdx |
|---|
| 851 | !-- and dwdx |
|---|
| 852 | !-- Note: The validity of the new method has not yet been |
|---|
| 853 | !-- shown, as so far no suitable data for a validation |
|---|
| 854 | !-- has been available |
|---|
| 855 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 856 | ! vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 857 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 858 | ! wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 859 | km_neutral = kappa * & |
|---|
| 860 | ( vsus(k,j,i)**2 + wsus(k,j,i)**2 )**0.25 * & |
|---|
| 861 | 0.5 * dx |
|---|
| 862 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 863 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
|---|
| 864 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
|---|
| 865 | ELSE |
|---|
| 866 | dvdx = 0.0 |
|---|
| 867 | dwdx = 0.0 |
|---|
| 868 | ENDIF |
|---|
| 869 | ELSE |
|---|
| 870 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 871 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 872 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 873 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 874 | ENDIF |
|---|
| 875 | |
|---|
| 876 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 877 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 878 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 879 | |
|---|
| 880 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 881 | |
|---|
| 882 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 883 | |
|---|
| 884 | ENDIF |
|---|
| 885 | ! |
|---|
| 886 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 887 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 888 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 889 | !-- already been calculated for (2). |
|---|
| 890 | !-- 'wall only: use wall functions' |
|---|
| 891 | |
|---|
| 892 | IF ( k >= nzb_diff_s_inner(j,i) .AND. & |
|---|
| 893 | k <= nzb_diff_s_outer(j,i)-2 ) THEN |
|---|
| 894 | |
|---|
| 895 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 896 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 897 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 898 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 899 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 900 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 901 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 902 | |
|---|
| 903 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 904 | ! |
|---|
| 905 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 906 | !-- is not taken into account for the evaluation of the |
|---|
| 907 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 908 | !-- must not be used for the evaluation of the velocity |
|---|
| 909 | !-- gradients dudy and dwdy |
|---|
| 910 | !-- Note: The validity of the new method has not yet |
|---|
| 911 | !-- been shown, as so far no suitable data for a |
|---|
| 912 | !-- validation has been available |
|---|
| 913 | km_neutral = kappa * ( usvs(k,j,i)**2 + & |
|---|
| 914 | wsvs(k,j,i)**2 )**0.25 * 0.5 * dy |
|---|
| 915 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 916 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
|---|
| 917 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
|---|
| 918 | ELSE |
|---|
| 919 | dudy = 0.0 |
|---|
| 920 | dwdy = 0.0 |
|---|
| 921 | ENDIF |
|---|
| 922 | ELSE |
|---|
| 923 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 924 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 925 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 926 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 927 | ENDIF |
|---|
| 928 | |
|---|
| 929 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 930 | ! |
|---|
| 931 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 932 | !-- is not taken into account for the evaluation of the |
|---|
| 933 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 934 | !-- must not be used for the evaluation of the velocity |
|---|
| 935 | !-- gradients dvdx and dwdx |
|---|
| 936 | !-- Note: The validity of the new method has not yet |
|---|
| 937 | !-- been shown, as so far no suitable data for a |
|---|
| 938 | !-- validation has been available |
|---|
| 939 | km_neutral = kappa * ( vsus(k,j,i)**2 + & |
|---|
| 940 | wsus(k,j,i)**2 )**0.25 * 0.5 * dx |
|---|
| 941 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 942 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
|---|
| 943 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
|---|
| 944 | ELSE |
|---|
| 945 | dvdx = 0.0 |
|---|
| 946 | dwdx = 0.0 |
|---|
| 947 | ENDIF |
|---|
| 948 | ELSE |
|---|
| 949 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 950 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 951 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 952 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 953 | ENDIF |
|---|
| 954 | |
|---|
| 955 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 956 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 957 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 958 | |
|---|
| 959 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 960 | |
|---|
| 961 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 962 | |
|---|
| 963 | ENDIF |
|---|
| 964 | |
|---|
| 965 | ! |
|---|
| 966 | !-- (4) - will allways be executed. |
|---|
| 967 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 968 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
|---|
| 969 | |
|---|
| 970 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 971 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 972 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 973 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 974 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 975 | |
|---|
| 976 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 977 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 978 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 979 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 980 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 981 | |
|---|
| 982 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 983 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 984 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 985 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 986 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 987 | |
|---|
| 988 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 989 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 990 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 991 | |
|---|
| 992 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 993 | |
|---|
| 994 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 995 | |
|---|
| 996 | ENDIF |
|---|
| 997 | |
|---|
| 998 | ENDIF |
|---|
| 999 | |
|---|
| 1000 | ENDDO |
|---|
| 1001 | ENDDO |
|---|
| 1002 | ENDDO |
|---|
| 1003 | |
|---|
| 1004 | ! |
|---|
| 1005 | !-- Position without adjacent wall |
|---|
| 1006 | !-- (1) - will allways be executed. |
|---|
| 1007 | !-- 'bottom only: use u_0,v_0' |
|---|
| 1008 | DO i = i_left, i_right |
|---|
| 1009 | DO j = j_south, j_north |
|---|
| 1010 | DO k = 1, nzt |
|---|
| 1011 | |
|---|
| 1012 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
|---|
| 1013 | THEN |
|---|
| 1014 | |
|---|
| 1015 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
|---|
| 1016 | |
|---|
| 1017 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1018 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1019 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1020 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1021 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1022 | |
|---|
| 1023 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1024 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1025 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1026 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1027 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1028 | |
|---|
| 1029 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1030 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1031 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1032 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1033 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1034 | |
|---|
| 1035 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1036 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1037 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1038 | |
|---|
| 1039 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1040 | |
|---|
| 1041 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1042 | |
|---|
| 1043 | ENDIF |
|---|
| 1044 | |
|---|
| 1045 | ENDIF |
|---|
| 1046 | |
|---|
| 1047 | ENDDO |
|---|
| 1048 | ENDDO |
|---|
| 1049 | ENDDO |
|---|
| 1050 | |
|---|
| 1051 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 1052 | |
|---|
| 1053 | DO i = i_left, i_right |
|---|
| 1054 | DO j = j_south, j_north |
|---|
| 1055 | DO k = 1, nzt |
|---|
| 1056 | |
|---|
| 1057 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
|---|
| 1058 | |
|---|
| 1059 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1060 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1061 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1062 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1063 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1064 | |
|---|
| 1065 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1066 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1067 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1068 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1069 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1070 | |
|---|
| 1071 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1072 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1073 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1074 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1075 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1076 | |
|---|
| 1077 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1078 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1079 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1080 | |
|---|
| 1081 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1082 | |
|---|
| 1083 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1084 | |
|---|
| 1085 | ENDIF |
|---|
| 1086 | |
|---|
| 1087 | ENDDO |
|---|
| 1088 | ENDDO |
|---|
| 1089 | ENDDO |
|---|
| 1090 | |
|---|
| 1091 | ENDIF |
|---|
| 1092 | |
|---|
| 1093 | ! |
|---|
| 1094 | !-- If required, calculate TKE production by buoyancy |
|---|
| 1095 | IF ( .NOT. neutral ) THEN |
|---|
| 1096 | |
|---|
| 1097 | IF ( .NOT. humidity ) THEN |
|---|
| 1098 | |
|---|
| 1099 | IF ( use_single_reference_value ) THEN |
|---|
| 1100 | |
|---|
| 1101 | IF ( ocean ) THEN |
|---|
| 1102 | ! |
|---|
| 1103 | !-- So far in the ocean no special treatment of density flux |
|---|
| 1104 | !-- in the bottom and top surface layer |
|---|
| 1105 | DO i = i_left, i_right |
|---|
| 1106 | DO j = j_south, j_north |
|---|
| 1107 | DO k = 1, nzt |
|---|
| 1108 | IF ( k > nzb_s_inner(j,i) ) THEN |
|---|
| 1109 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1110 | kh(k,j,i) * g / rho_reference * & |
|---|
| 1111 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 1112 | dd2zu(k) |
|---|
| 1113 | ENDIF |
|---|
| 1114 | ENDDO |
|---|
| 1115 | ENDDO |
|---|
| 1116 | ENDDO |
|---|
| 1117 | |
|---|
| 1118 | ELSE |
|---|
| 1119 | |
|---|
| 1120 | DO i = i_left, i_right |
|---|
| 1121 | DO j = j_south, j_north |
|---|
| 1122 | DO k = 1, nzt_diff |
|---|
| 1123 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1124 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1125 | kh(k,j,i) * g / pt_reference * & |
|---|
| 1126 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 1127 | dd2zu(k) |
|---|
| 1128 | ENDIF |
|---|
| 1129 | |
|---|
| 1130 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
|---|
| 1131 | use_surface_fluxes ) THEN |
|---|
| 1132 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 1133 | shf(j,i) |
|---|
| 1134 | ENDIF |
|---|
| 1135 | |
|---|
| 1136 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
|---|
| 1137 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 1138 | tswst(j,i) |
|---|
| 1139 | ENDIF |
|---|
| 1140 | ENDDO |
|---|
| 1141 | ENDDO |
|---|
| 1142 | ENDDO |
|---|
| 1143 | |
|---|
| 1144 | ENDIF |
|---|
| 1145 | |
|---|
| 1146 | ELSE |
|---|
| 1147 | |
|---|
| 1148 | IF ( ocean ) THEN |
|---|
| 1149 | ! |
|---|
| 1150 | !-- So far in the ocean no special treatment of density flux |
|---|
| 1151 | !-- in the bottom and top surface layer |
|---|
| 1152 | DO i = i_left, i_right |
|---|
| 1153 | DO j = j_south, j_north |
|---|
| 1154 | DO k = 1, nzt |
|---|
| 1155 | IF ( k > nzb_s_inner(j,i) ) THEN |
|---|
| 1156 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1157 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 1158 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 1159 | dd2zu(k) |
|---|
| 1160 | ENDIF |
|---|
| 1161 | ENDDO |
|---|
| 1162 | ENDDO |
|---|
| 1163 | ENDDO |
|---|
| 1164 | |
|---|
| 1165 | ELSE |
|---|
| 1166 | |
|---|
| 1167 | DO i = i_left, i_right |
|---|
| 1168 | DO j = j_south, j_north |
|---|
| 1169 | DO k = 1, nzt_diff |
|---|
| 1170 | IF( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1171 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1172 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 1173 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 1174 | dd2zu(k) |
|---|
| 1175 | ENDIF |
|---|
| 1176 | |
|---|
| 1177 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
|---|
| 1178 | use_surface_fluxes ) THEN |
|---|
| 1179 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 1180 | shf(j,i) |
|---|
| 1181 | ENDIF |
|---|
| 1182 | |
|---|
| 1183 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
|---|
| 1184 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 1185 | tswst(j,i) |
|---|
| 1186 | ENDIF |
|---|
| 1187 | ENDDO |
|---|
| 1188 | ENDDO |
|---|
| 1189 | ENDDO |
|---|
| 1190 | |
|---|
| 1191 | ENDIF |
|---|
| 1192 | |
|---|
| 1193 | ENDIF |
|---|
| 1194 | |
|---|
| 1195 | ELSE |
|---|
| 1196 | ! |
|---|
| 1197 | !++ This part gives the PGI compiler problems in the previous loop |
|---|
| 1198 | !++ even without any acc statements???? |
|---|
| 1199 | ! STOP '+++ production_e problems with acc-directives' |
|---|
| 1200 | ! !acc loop |
|---|
| 1201 | ! DO i = nxl, nxr |
|---|
| 1202 | ! DO j = nys, nyn |
|---|
| 1203 | ! !acc loop vector |
|---|
| 1204 | ! DO k = 1, nzt_diff |
|---|
| 1205 | ! |
|---|
| 1206 | ! IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1207 | ! |
|---|
| 1208 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1209 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1210 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1211 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 1212 | ! g / vpt(k,j,i) * & |
|---|
| 1213 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1214 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1215 | ! ) * dd2zu(k) |
|---|
| 1216 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1217 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1218 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1219 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1220 | ! ELSE |
|---|
| 1221 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1222 | ! temp = theta * t_d_pt(k) |
|---|
| 1223 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1224 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1225 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1226 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1227 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1228 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1229 | ! ENDIF |
|---|
| 1230 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 1231 | ! g / vpt(k,j,i) * & |
|---|
| 1232 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1233 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1234 | ! ) * dd2zu(k) |
|---|
| 1235 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1236 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1237 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1238 | ! tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1239 | ! kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1240 | ! ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
|---|
| 1241 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 1242 | ! pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 1243 | ! ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 1244 | ! ENDIF |
|---|
| 1245 | ! |
|---|
| 1246 | ! ENDIF |
|---|
| 1247 | ! |
|---|
| 1248 | ! ENDDO |
|---|
| 1249 | ! ENDDO |
|---|
| 1250 | ! ENDDO |
|---|
| 1251 | ! |
|---|
| 1252 | |
|---|
| 1253 | !!++ Next two loops are probably very inefficiently parallellized |
|---|
| 1254 | !!++ and will require better optimization |
|---|
| 1255 | ! IF ( use_surface_fluxes ) THEN |
|---|
| 1256 | ! |
|---|
| 1257 | ! !acc loop |
|---|
| 1258 | ! DO i = nxl, nxr |
|---|
| 1259 | ! DO j = nys, nyn |
|---|
| 1260 | ! !acc loop vector |
|---|
| 1261 | ! DO k = 1, nzt_diff |
|---|
| 1262 | ! |
|---|
| 1263 | ! IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
|---|
| 1264 | ! |
|---|
| 1265 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1266 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1267 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1268 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1269 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1270 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1271 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1272 | ! ELSE |
|---|
| 1273 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1274 | ! temp = theta * t_d_pt(k) |
|---|
| 1275 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1276 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1277 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1278 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1279 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1280 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1281 | ! ENDIF |
|---|
| 1282 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1283 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1284 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1285 | ! ENDIF |
|---|
| 1286 | ! |
|---|
| 1287 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1288 | ! ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 1289 | ! ENDIF |
|---|
| 1290 | ! |
|---|
| 1291 | ! ENDDO |
|---|
| 1292 | ! ENDDO |
|---|
| 1293 | ! ENDDO |
|---|
| 1294 | ! |
|---|
| 1295 | ! ENDIF |
|---|
| 1296 | ! |
|---|
| 1297 | ! IF ( use_top_fluxes ) THEN |
|---|
| 1298 | ! |
|---|
| 1299 | ! !acc loop |
|---|
| 1300 | ! DO i = nxl, nxr |
|---|
| 1301 | ! DO j = nys, nyn |
|---|
| 1302 | ! !acc loop vector |
|---|
| 1303 | ! DO k = 1, nzt |
|---|
| 1304 | ! IF ( k == nzt ) THEN |
|---|
| 1305 | ! |
|---|
| 1306 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1307 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1308 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1309 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1310 | ! IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1311 | ! k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1312 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1313 | ! ELSE |
|---|
| 1314 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1315 | ! temp = theta * t_d_pt(k) |
|---|
| 1316 | ! k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1317 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1318 | ! ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1319 | ! ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1320 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1321 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1322 | ! ENDIF |
|---|
| 1323 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1324 | ! k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1325 | ! k2 = 0.61 * pt(k,j,i) |
|---|
| 1326 | ! ENDIF |
|---|
| 1327 | ! |
|---|
| 1328 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1329 | ! ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 1330 | ! |
|---|
| 1331 | ! ENDIF |
|---|
| 1332 | ! |
|---|
| 1333 | ! ENDDO |
|---|
| 1334 | ! ENDDO |
|---|
| 1335 | ! ENDDO |
|---|
| 1336 | ! |
|---|
| 1337 | ! ENDIF |
|---|
| 1338 | |
|---|
| 1339 | ENDIF |
|---|
| 1340 | |
|---|
| 1341 | ENDIF |
|---|
| 1342 | !$acc end kernels |
|---|
| 1343 | |
|---|
| 1344 | END SUBROUTINE production_e_acc |
|---|
| 1345 | |
|---|
| 1346 | |
|---|
| 1347 | !------------------------------------------------------------------------------! |
|---|
| 1348 | ! Call for grid point i,j |
|---|
| 1349 | !------------------------------------------------------------------------------! |
|---|
| 1350 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 1351 | |
|---|
| 1352 | USE arrays_3d |
|---|
| 1353 | USE cloud_parameters |
|---|
| 1354 | USE control_parameters |
|---|
| 1355 | USE grid_variables |
|---|
| 1356 | USE indices |
|---|
| 1357 | USE statistics |
|---|
| 1358 | |
|---|
| 1359 | IMPLICIT NONE |
|---|
| 1360 | |
|---|
| 1361 | INTEGER :: i, j, k |
|---|
| 1362 | |
|---|
| 1363 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
|---|
| 1364 | k1, k2, km_neutral, theta, temp |
|---|
| 1365 | |
|---|
| 1366 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
|---|
| 1367 | |
|---|
| 1368 | ! |
|---|
| 1369 | !-- Calculate TKE production by shear |
|---|
| 1370 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| 1371 | |
|---|
| 1372 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1373 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1374 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1375 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1376 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1377 | |
|---|
| 1378 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1379 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1380 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1381 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1382 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1383 | |
|---|
| 1384 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1385 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1386 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1387 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1388 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1389 | |
|---|
| 1390 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 1391 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 1392 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1393 | |
|---|
| 1394 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1395 | |
|---|
| 1396 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1397 | |
|---|
| 1398 | ENDDO |
|---|
| 1399 | |
|---|
| 1400 | IF ( prandtl_layer ) THEN |
|---|
| 1401 | |
|---|
| 1402 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
|---|
| 1403 | |
|---|
| 1404 | ! |
|---|
| 1405 | !-- Position beneath wall |
|---|
| 1406 | !-- (2) - Will allways be executed. |
|---|
| 1407 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 1408 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1409 | |
|---|
| 1410 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1411 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1412 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1413 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1414 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1415 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1416 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1417 | |
|---|
| 1418 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 1419 | ! |
|---|
| 1420 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1421 | !-- is not taken into account for the evaluation of the |
|---|
| 1422 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1423 | !-- must not be used for the evaluation of the velocity |
|---|
| 1424 | !-- gradients dudy and dwdy |
|---|
| 1425 | !-- Note: The validity of the new method has not yet |
|---|
| 1426 | !-- been shown, as so far no suitable data for a |
|---|
| 1427 | !-- validation has been available |
|---|
| 1428 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1429 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
|---|
| 1430 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1431 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
|---|
| 1432 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
|---|
| 1433 | 0.5 * dy |
|---|
| 1434 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 1435 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 1436 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 1437 | ELSE |
|---|
| 1438 | dudy = 0.0 |
|---|
| 1439 | dwdy = 0.0 |
|---|
| 1440 | ENDIF |
|---|
| 1441 | ELSE |
|---|
| 1442 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1443 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1444 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1445 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1446 | ENDIF |
|---|
| 1447 | |
|---|
| 1448 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 1449 | ! |
|---|
| 1450 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1451 | !-- is not taken into account for the evaluation of the |
|---|
| 1452 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1453 | !-- must not be used for the evaluation of the velocity |
|---|
| 1454 | !-- gradients dvdx and dwdx |
|---|
| 1455 | !-- Note: The validity of the new method has not yet |
|---|
| 1456 | !-- been shown, as so far no suitable data for a |
|---|
| 1457 | !-- validation has been available |
|---|
| 1458 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1459 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
|---|
| 1460 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1461 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
|---|
| 1462 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
|---|
| 1463 | 0.5 * dx |
|---|
| 1464 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 1465 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 1466 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 1467 | ELSE |
|---|
| 1468 | dvdx = 0.0 |
|---|
| 1469 | dwdx = 0.0 |
|---|
| 1470 | ENDIF |
|---|
| 1471 | ELSE |
|---|
| 1472 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1473 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1474 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1475 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1476 | ENDIF |
|---|
| 1477 | |
|---|
| 1478 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1479 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1480 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1481 | |
|---|
| 1482 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1483 | |
|---|
| 1484 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1485 | |
|---|
| 1486 | ! |
|---|
| 1487 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 1488 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 1489 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 1490 | !-- already been calculated for (2). |
|---|
| 1491 | !-- 'wall only: use wall functions' |
|---|
| 1492 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 1493 | |
|---|
| 1494 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1495 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1496 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1497 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1498 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1499 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1500 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1501 | |
|---|
| 1502 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
|---|
| 1503 | ! |
|---|
| 1504 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1505 | !-- is not taken into account for the evaluation of the |
|---|
| 1506 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1507 | !-- must not be used for the evaluation of the velocity |
|---|
| 1508 | !-- gradients dudy and dwdy |
|---|
| 1509 | !-- Note: The validity of the new method has not yet |
|---|
| 1510 | !-- been shown, as so far no suitable data for a |
|---|
| 1511 | !-- validation has been available |
|---|
| 1512 | km_neutral = kappa * ( usvs(k)**2 + & |
|---|
| 1513 | wsvs(k)**2 )**0.25 * 0.5 * dy |
|---|
| 1514 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 1515 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 1516 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 1517 | ELSE |
|---|
| 1518 | dudy = 0.0 |
|---|
| 1519 | dwdy = 0.0 |
|---|
| 1520 | ENDIF |
|---|
| 1521 | ELSE |
|---|
| 1522 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1523 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1524 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1525 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1526 | ENDIF |
|---|
| 1527 | |
|---|
| 1528 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
|---|
| 1529 | ! |
|---|
| 1530 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1531 | !-- is not taken into account for the evaluation of the |
|---|
| 1532 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1533 | !-- must not be used for the evaluation of the velocity |
|---|
| 1534 | !-- gradients dvdx and dwdx |
|---|
| 1535 | !-- Note: The validity of the new method has not yet |
|---|
| 1536 | !-- been shown, as so far no suitable data for a |
|---|
| 1537 | !-- validation has been available |
|---|
| 1538 | km_neutral = kappa * ( vsus(k)**2 + & |
|---|
| 1539 | wsus(k)**2 )**0.25 * 0.5 * dx |
|---|
| 1540 | IF ( km_neutral > 0.0 ) THEN |
|---|
| 1541 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 1542 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 1543 | ELSE |
|---|
| 1544 | dvdx = 0.0 |
|---|
| 1545 | dwdx = 0.0 |
|---|
| 1546 | ENDIF |
|---|
| 1547 | ELSE |
|---|
| 1548 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1549 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1550 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1551 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1552 | ENDIF |
|---|
| 1553 | |
|---|
| 1554 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1555 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1556 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1557 | |
|---|
| 1558 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1559 | |
|---|
| 1560 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1561 | |
|---|
| 1562 | ENDDO |
|---|
| 1563 | |
|---|
| 1564 | ! |
|---|
| 1565 | !-- (4) - will allways be executed. |
|---|
| 1566 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 1567 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 1568 | |
|---|
| 1569 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1570 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1571 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1572 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1573 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1574 | |
|---|
| 1575 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1576 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1577 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1578 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1579 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1580 | |
|---|
| 1581 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1582 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1583 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1584 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1585 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1586 | |
|---|
| 1587 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1588 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1589 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1590 | |
|---|
| 1591 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1592 | |
|---|
| 1593 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1594 | |
|---|
| 1595 | ELSE |
|---|
| 1596 | |
|---|
| 1597 | ! |
|---|
| 1598 | !-- Position without adjacent wall |
|---|
| 1599 | !-- (1) - will allways be executed. |
|---|
| 1600 | !-- 'bottom only: use u_0,v_0' |
|---|
| 1601 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1602 | |
|---|
| 1603 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1604 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1605 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1606 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1607 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1608 | |
|---|
| 1609 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1610 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1611 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1612 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1613 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1614 | |
|---|
| 1615 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1616 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1617 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1618 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1619 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1620 | |
|---|
| 1621 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 1622 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 1623 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1624 | |
|---|
| 1625 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1626 | |
|---|
| 1627 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1628 | |
|---|
| 1629 | ENDIF |
|---|
| 1630 | |
|---|
| 1631 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 1632 | |
|---|
| 1633 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 1634 | |
|---|
| 1635 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1636 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1637 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1638 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1639 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1640 | |
|---|
| 1641 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1642 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1643 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1644 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1645 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1646 | |
|---|
| 1647 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1648 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1649 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1650 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1651 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1652 | |
|---|
| 1653 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1654 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1655 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1656 | |
|---|
| 1657 | IF ( def < 0.0 ) def = 0.0 |
|---|
| 1658 | |
|---|
| 1659 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1660 | |
|---|
| 1661 | ENDIF |
|---|
| 1662 | |
|---|
| 1663 | ! |
|---|
| 1664 | !-- If required, calculate TKE production by buoyancy |
|---|
| 1665 | IF ( .NOT. neutral ) THEN |
|---|
| 1666 | |
|---|
| 1667 | IF ( .NOT. humidity ) THEN |
|---|
| 1668 | |
|---|
| 1669 | IF ( use_single_reference_value ) THEN |
|---|
| 1670 | |
|---|
| 1671 | IF ( ocean ) THEN |
|---|
| 1672 | ! |
|---|
| 1673 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 1674 | !-- the bottom and top surface layer |
|---|
| 1675 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1676 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1677 | kh(k,j,i) * g / rho_reference * & |
|---|
| 1678 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 1679 | ENDDO |
|---|
| 1680 | |
|---|
| 1681 | ELSE |
|---|
| 1682 | |
|---|
| 1683 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1684 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1685 | kh(k,j,i) * g / pt_reference * & |
|---|
| 1686 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 1687 | ENDDO |
|---|
| 1688 | |
|---|
| 1689 | IF ( use_surface_fluxes ) THEN |
|---|
| 1690 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1691 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 1692 | ENDIF |
|---|
| 1693 | |
|---|
| 1694 | IF ( use_top_fluxes ) THEN |
|---|
| 1695 | k = nzt |
|---|
| 1696 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
|---|
| 1697 | ENDIF |
|---|
| 1698 | |
|---|
| 1699 | ENDIF |
|---|
| 1700 | |
|---|
| 1701 | ELSE |
|---|
| 1702 | |
|---|
| 1703 | IF ( ocean ) THEN |
|---|
| 1704 | ! |
|---|
| 1705 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 1706 | !-- the bottom and top surface layer |
|---|
| 1707 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1708 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1709 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 1710 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 1711 | ENDDO |
|---|
| 1712 | |
|---|
| 1713 | ELSE |
|---|
| 1714 | |
|---|
| 1715 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1716 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1717 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 1718 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 1719 | ENDDO |
|---|
| 1720 | |
|---|
| 1721 | IF ( use_surface_fluxes ) THEN |
|---|
| 1722 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1723 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 1724 | ENDIF |
|---|
| 1725 | |
|---|
| 1726 | IF ( use_top_fluxes ) THEN |
|---|
| 1727 | k = nzt |
|---|
| 1728 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 1729 | ENDIF |
|---|
| 1730 | |
|---|
| 1731 | ENDIF |
|---|
| 1732 | |
|---|
| 1733 | ENDIF |
|---|
| 1734 | |
|---|
| 1735 | ELSE |
|---|
| 1736 | |
|---|
| 1737 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1738 | |
|---|
| 1739 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1740 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1741 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1742 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1743 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1744 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1745 | ) * dd2zu(k) |
|---|
| 1746 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1747 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1748 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1749 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1750 | ELSE |
|---|
| 1751 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1752 | temp = theta * t_d_pt(k) |
|---|
| 1753 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1754 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1755 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1756 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1757 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1758 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1759 | ENDIF |
|---|
| 1760 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1761 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1762 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1763 | ) * dd2zu(k) |
|---|
| 1764 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1765 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1766 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1767 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1768 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1769 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 1770 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 1771 | ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 1772 | ENDIF |
|---|
| 1773 | ENDDO |
|---|
| 1774 | |
|---|
| 1775 | IF ( use_surface_fluxes ) THEN |
|---|
| 1776 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1777 | |
|---|
| 1778 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1779 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1780 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1781 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1782 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1783 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1784 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1785 | ELSE |
|---|
| 1786 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1787 | temp = theta * t_d_pt(k) |
|---|
| 1788 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1789 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1790 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1791 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1792 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1793 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1794 | ENDIF |
|---|
| 1795 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1796 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1797 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1798 | ENDIF |
|---|
| 1799 | |
|---|
| 1800 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1801 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 1802 | ENDIF |
|---|
| 1803 | |
|---|
| 1804 | IF ( use_top_fluxes ) THEN |
|---|
| 1805 | k = nzt |
|---|
| 1806 | |
|---|
| 1807 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1808 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1809 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1810 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1811 | IF ( ql(k,j,i) == 0.0 ) THEN |
|---|
| 1812 | k1 = 1.0 + 0.61 * q(k,j,i) |
|---|
| 1813 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1814 | ELSE |
|---|
| 1815 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1816 | temp = theta * t_d_pt(k) |
|---|
| 1817 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
|---|
| 1818 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1819 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
|---|
| 1820 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
|---|
| 1821 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1822 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
|---|
| 1823 | ENDIF |
|---|
| 1824 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1825 | k1 = 1.0 + 0.61 * q(k,j,i) - ql(k,j,i) |
|---|
| 1826 | k2 = 0.61 * pt(k,j,i) |
|---|
| 1827 | ENDIF |
|---|
| 1828 | |
|---|
| 1829 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1830 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 1831 | ENDIF |
|---|
| 1832 | |
|---|
| 1833 | ENDIF |
|---|
| 1834 | |
|---|
| 1835 | ENDIF |
|---|
| 1836 | |
|---|
| 1837 | END SUBROUTINE production_e_ij |
|---|
| 1838 | |
|---|
| 1839 | |
|---|
| 1840 | SUBROUTINE production_e_init |
|---|
| 1841 | |
|---|
| 1842 | USE arrays_3d |
|---|
| 1843 | USE control_parameters |
|---|
| 1844 | USE grid_variables |
|---|
| 1845 | USE indices |
|---|
| 1846 | |
|---|
| 1847 | IMPLICIT NONE |
|---|
| 1848 | |
|---|
| 1849 | INTEGER :: i, j, ku, kv |
|---|
| 1850 | |
|---|
| 1851 | IF ( prandtl_layer ) THEN |
|---|
| 1852 | |
|---|
| 1853 | IF ( first_call ) THEN |
|---|
| 1854 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
|---|
| 1855 | u_0 = 0.0 ! just to avoid access of uninitialized memory |
|---|
| 1856 | v_0 = 0.0 ! within exchange_horiz_2d |
|---|
| 1857 | first_call = .FALSE. |
|---|
| 1858 | ENDIF |
|---|
| 1859 | |
|---|
| 1860 | ! |
|---|
| 1861 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 1862 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 1863 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 1864 | !-- production term at k=1 (see production_e_ij). |
|---|
| 1865 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 1866 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 1867 | !-- surface winds). |
|---|
| 1868 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
|---|
| 1869 | !-- not available in case of non-cyclic boundary conditions. |
|---|
| 1870 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 1871 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 1872 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
|---|
| 1873 | DO i = nxl, nxr+1 |
|---|
| 1874 | DO j = nys, nyn+1 |
|---|
| 1875 | |
|---|
| 1876 | ku = nzb_u_inner(j,i)+1 |
|---|
| 1877 | kv = nzb_v_inner(j,i)+1 |
|---|
| 1878 | |
|---|
| 1879 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
|---|
| 1880 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
|---|
| 1881 | 1.0E-20 ) |
|---|
| 1882 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1883 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
|---|
| 1884 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
|---|
| 1885 | 1.0E-20 ) |
|---|
| 1886 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1887 | |
|---|
| 1888 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
|---|
| 1889 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
|---|
| 1890 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
|---|
| 1891 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
|---|
| 1892 | |
|---|
| 1893 | ENDDO |
|---|
| 1894 | ENDDO |
|---|
| 1895 | |
|---|
| 1896 | CALL exchange_horiz_2d( u_0 ) |
|---|
| 1897 | CALL exchange_horiz_2d( v_0 ) |
|---|
| 1898 | |
|---|
| 1899 | ENDIF |
|---|
| 1900 | |
|---|
| 1901 | END SUBROUTINE production_e_init |
|---|
| 1902 | |
|---|
| 1903 | END MODULE production_e_mod |
|---|
