!> @file production_e.f90 !------------------------------------------------------------------------------! ! This file is part of PALM. ! ! PALM is free software: you can redistribute it and/or modify it under the ! terms of the GNU General Public License as published by the Free Software ! Foundation, either version 3 of the License, or (at your option) any later ! version. ! ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. ! ! You should have received a copy of the GNU General Public License along with ! PALM. If not, see . ! ! Copyright 1997-2017 Leibniz Universitaet Hannover !------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: production_e.f90 2127 2017-01-20 16:06:40Z scharf $ ! ! 2126 2017-01-20 15:54:21Z raasch ! density in ocean case replaced by potential density ! ! 2118 2017-01-17 16:38:49Z raasch ! OpenACC version of subroutine removed ! ! 2031 2016-10-21 15:11:58Z knoop ! renamed variable rho to rho_ocean ! ! 2000 2016-08-20 18:09:15Z knoop ! Forced header and separation lines into 80 columns ! ! 1873 2016-04-18 14:50:06Z maronga ! Module renamed (removed _mod) ! ! ! 1850 2016-04-08 13:29:27Z maronga ! Module renamed ! ! ! 1691 2015-10-26 16:17:44Z maronga ! Renamed prandtl_layer to constant_flux_layer. ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1374 2014-04-25 12:55:07Z raasch ! nzb_s_outer removed from acc-present-list ! ! 1353 2014-04-08 15:21:23Z heinze ! REAL constants provided with KIND-attribute ! ! 1342 2014-03-26 17:04:47Z kanani ! REAL constants defined as wp-kind ! ! 1320 2014-03-20 08:40:49Z raasch ! ONLY-attribute added to USE-statements, ! kind-parameters added to all INTEGER and REAL declaration statements, ! kinds are defined in new module kinds, ! old module precision_kind is removed, ! revision history before 2012 removed, ! comment fields (!:) to be used for variable explanations added to ! all variable declaration statements ! ! 1257 2013-11-08 15:18:40Z raasch ! openacc loop and loop vector clauses removed, declare create moved after ! the FORTRAN declaration statement ! ! 1179 2013-06-14 05:57:58Z raasch ! use_reference renamed use_single_reference_value ! ! 1128 2013-04-12 06:19:32Z raasch ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, ! j_north ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 1015 2012-09-27 09:23:24Z raasch ! accelerator version (*_acc) added ! ! 1007 2012-09-19 14:30:36Z franke ! Bugfix: calculation of buoyancy production has to consider the liquid water ! mixing ratio in case of cloud droplets ! ! 940 2012-07-09 14:31:00Z raasch ! TKE production by buoyancy can be switched off in case of runs with pure ! neutral stratification ! ! Revision 1.1 1997/09/19 07:45:35 raasch ! Initial revision ! ! ! Description: ! ------------ !> Production terms (shear + buoyancy) of the TKE. !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is !> not considered well! !------------------------------------------------------------------------------! MODULE production_e_mod USE wall_fluxes_mod, & ONLY: wall_fluxes_e USE kinds PRIVATE PUBLIC production_e, production_e_init LOGICAL, SAVE :: first_call = .TRUE. !< REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0 !< REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: v_0 !< INTERFACE production_e MODULE PROCEDURE production_e MODULE PROCEDURE production_e_ij END INTERFACE production_e INTERFACE production_e_init MODULE PROCEDURE production_e_init END INTERFACE production_e_init CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for all grid points !------------------------------------------------------------------------------! SUBROUTINE production_e USE arrays_3d, & ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, qsws, qswst, shf, & tend, tswst, u, v, vpt, w USE cloud_parameters, & ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt USE control_parameters, & ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & humidity, kappa, neutral, ocean, pt_reference, & rho_reference, use_single_reference_value, & use_surface_fluxes, use_top_fluxes USE grid_variables, & ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y USE indices, & ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< REAL(wp) :: def !< REAL(wp) :: dudx !< REAL(wp) :: dudy !< REAL(wp) :: dudz !< REAL(wp) :: dvdx !< REAL(wp) :: dvdy !< REAL(wp) :: dvdz !< REAL(wp) :: dwdx !< REAL(wp) :: dwdy !< REAL(wp) :: dwdz !< REAL(wp) :: k1 !< REAL(wp) :: k2 !< REAL(wp) :: km_neutral !< REAL(wp) :: theta !< REAL(wp) :: temp !< ! REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< ! !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at !-- vertical walls, if neccessary !-- So far, results are slightly different from the ij-Version. !-- Therefore, ij-Version is called further below within the ij-loops. ! IF ( topography /= 'flat' ) THEN ! CALL wall_fluxes_e( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) ! CALL wall_fluxes_e( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) ! CALL wall_fluxes_e( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) ! CALL wall_fluxes_e( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) ! ENDIF DO i = nxl, nxr ! !-- Calculate TKE production by shear DO j = nys, nyn DO k = nzb_diff_s_outer(j,i), nzt dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDDO ENDDO IF ( constant_flux_layer ) THEN ! !-- Position beneath wall !-- (2) - Will allways be executed. !-- 'bottom and wall: use u_0,v_0 and wall functions' DO j = nys, nyn IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & THEN k = nzb_diff_s_inner(j,i) - 1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) IF ( wall_e_y(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification is !-- not taken into account for the evaluation of the wall !-- fluxes at vertical walls, the eddy viscosity km must not !-- be used for the evaluation of the velocity gradients dudy !-- and dwdy !-- Note: The validity of the new method has not yet been !-- shown, as so far no suitable data for a validation !-- has been available CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & 0.5_wp * dy IF ( km_neutral > 0.0_wp ) THEN dudy = - wall_e_y(j,i) * usvs(k) / km_neutral dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral ELSE dudy = 0.0_wp dwdy = 0.0_wp ENDIF ELSE dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy ENDIF IF ( wall_e_x(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification is !-- not taken into account for the evaluation of the wall !-- fluxes at vertical walls, the eddy viscosity km must not !-- be used for the evaluation of the velocity gradients dvdx !-- and dwdx !-- Note: The validity of the new method has not yet been !-- shown, as so far no suitable data for a validation !-- has been available CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & 0.5_wp * dx IF ( km_neutral > 0.0_wp ) THEN dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral ELSE dvdx = 0.0_wp dwdx = 0.0_wp ENDIF ELSE dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx ENDIF def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ! !-- (3) - will be executed only, if there is at least one level !-- between (2) and (4), i.e. the topography must have a !-- minimum height of 2 dz. Wall fluxes for this case have !-- already been calculated for (2). !-- 'wall only: use wall functions' DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) IF ( wall_e_y(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dudy and dwdy !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available km_neutral = kappa * ( usvs(k)**2 + & wsvs(k)**2 )**0.25_wp * 0.5_wp * dy IF ( km_neutral > 0.0_wp ) THEN dudy = - wall_e_y(j,i) * usvs(k) / km_neutral dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral ELSE dudy = 0.0_wp dwdy = 0.0_wp ENDIF ELSE dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy ENDIF IF ( wall_e_x(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dvdx and dwdx !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available km_neutral = kappa * ( vsus(k)**2 + & wsus(k)**2 )**0.25_wp * 0.5_wp * dx IF ( km_neutral > 0.0_wp ) THEN dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral ELSE dvdx = 0.0_wp dwdx = 0.0_wp ENDIF ELSE dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx ENDIF def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDDO ENDIF ENDDO ! !-- (4) - will allways be executed. !-- 'special case: free atmosphere' (as for case (0)) DO j = nys, nyn IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & THEN k = nzb_diff_s_outer(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDIF ENDDO ! !-- Position without adjacent wall !-- (1) - will allways be executed. !-- 'bottom only: use u_0,v_0' DO j = nys, nyn IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & THEN k = nzb_diff_s_inner(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDIF ENDDO ELSEIF ( use_surface_fluxes ) THEN DO j = nys, nyn k = nzb_diff_s_outer(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDDO ENDIF ! !-- If required, calculate TKE production by buoyancy IF ( .NOT. neutral ) THEN IF ( .NOT. humidity ) THEN IF ( use_single_reference_value ) THEN IF ( ocean ) THEN ! !-- So far in the ocean no special treatment of density flux !-- in the bottom and top surface layer DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) + & kh(k,j,i) * g / rho_reference * & ( prho(k+1,j,i) - prho(k-1,j,i) ) * & dd2zu(k) ENDDO ENDDO ELSE DO j = nys, nyn DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) - & kh(k,j,i) * g / pt_reference * & ( pt(k+1,j,i) - pt(k-1,j,i) ) * & dd2zu(k) ENDDO IF ( use_surface_fluxes ) THEN k = nzb_diff_s_inner(j,i)-1 tend(k,j,i) = tend(k,j,i) + g / pt_reference * & shf(j,i) ENDIF IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) + g / pt_reference * & tswst(j,i) ENDIF ENDDO ENDIF ELSE IF ( ocean ) THEN ! !-- So far in the ocean no special treatment of density flux !-- in the bottom and top surface layer DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) + & kh(k,j,i) * g / prho(k,j,i) * & ( prho(k+1,j,i) - prho(k-1,j,i) ) * & dd2zu(k) ENDDO ENDDO ELSE DO j = nys, nyn DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) - & kh(k,j,i) * g / pt(k,j,i) * & ( pt(k+1,j,i) - pt(k-1,j,i) ) * & dd2zu(k) ENDDO IF ( use_surface_fluxes ) THEN k = nzb_diff_s_inner(j,i)-1 tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & shf(j,i) ENDIF IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & tswst(j,i) ENDIF ENDDO ENDIF ENDIF ELSE DO j = nys, nyn DO k = nzb_diff_s_inner(j,i), nzt_diff IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & ) * dd2zu(k) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & ) * dd2zu(k) ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) tend(k,j,i) = tend(k,j,i) - & kh(k,j,i) * g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & pt(k,j,i) * ( ql(k+1,j,i) - & ql(k-1,j,i) ) ) * dd2zu(k) ENDIF ENDDO ENDDO IF ( use_surface_fluxes ) THEN DO j = nys, nyn k = nzb_diff_s_inner(j,i)-1 IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) ENDIF tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & ( k1* shf(j,i) + k2 * qsws(j,i) ) ENDDO ENDIF IF ( use_top_fluxes ) THEN DO j = nys, nyn k = nzt IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) ENDIF tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & ( k1* tswst(j,i) + k2 * qswst(j,i) ) ENDDO ENDIF ENDIF ENDIF ENDDO END SUBROUTINE production_e !------------------------------------------------------------------------------! ! Description: ! ------------ !> Call for grid point i,j !------------------------------------------------------------------------------! SUBROUTINE production_e_ij( i, j ) USE arrays_3d, & ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, qsws, qswst, shf, & tend, tswst, u, v, vpt, w USE cloud_parameters, & ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt USE control_parameters, & ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & humidity, kappa, neutral, ocean, pt_reference, & rho_reference, use_single_reference_value, & use_surface_fluxes, use_top_fluxes USE grid_variables, & ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y USE indices, & ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< REAL(wp) :: def !< REAL(wp) :: dudx !< REAL(wp) :: dudy !< REAL(wp) :: dudz !< REAL(wp) :: dvdx !< REAL(wp) :: dvdy !< REAL(wp) :: dvdz !< REAL(wp) :: dwdx !< REAL(wp) :: dwdy !< REAL(wp) :: dwdz !< REAL(wp) :: k1 !< REAL(wp) :: k2 !< REAL(wp) :: km_neutral !< REAL(wp) :: theta !< REAL(wp) :: temp !< REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< ! !-- Calculate TKE production by shear DO k = nzb_diff_s_outer(j,i), nzt dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDDO IF ( constant_flux_layer ) THEN IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) THEN ! !-- Position beneath wall !-- (2) - Will allways be executed. !-- 'bottom and wall: use u_0,v_0 and wall functions' k = nzb_diff_s_inner(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) IF ( wall_e_y(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dudy and dwdy !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & 0.5_wp * dy IF ( km_neutral > 0.0_wp ) THEN dudy = - wall_e_y(j,i) * usvs(k) / km_neutral dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral ELSE dudy = 0.0_wp dwdy = 0.0_wp ENDIF ELSE dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy ENDIF IF ( wall_e_x(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dvdx and dwdx !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & 0.5_wp * dx IF ( km_neutral > 0.0_wp ) THEN dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral ELSE dvdx = 0.0_wp dwdx = 0.0_wp ENDIF ELSE dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx ENDIF def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ! !-- (3) - will be executed only, if there is at least one level !-- between (2) and (4), i.e. the topography must have a !-- minimum height of 2 dz. Wall fluxes for this case have !-- already been calculated for (2). !-- 'wall only: use wall functions' DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) IF ( wall_e_y(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dudy and dwdy !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available km_neutral = kappa * ( usvs(k)**2 + & wsvs(k)**2 )**0.25_wp * 0.5_wp * dy IF ( km_neutral > 0.0_wp ) THEN dudy = - wall_e_y(j,i) * usvs(k) / km_neutral dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral ELSE dudy = 0.0_wp dwdy = 0.0_wp ENDIF ELSE dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy ENDIF IF ( wall_e_x(j,i) /= 0.0_wp ) THEN ! !-- Inconsistency removed: as the thermal stratification !-- is not taken into account for the evaluation of the !-- wall fluxes at vertical walls, the eddy viscosity km !-- must not be used for the evaluation of the velocity !-- gradients dvdx and dwdx !-- Note: The validity of the new method has not yet !-- been shown, as so far no suitable data for a !-- validation has been available km_neutral = kappa * ( vsus(k)**2 + & wsus(k)**2 )**0.25_wp * 0.5_wp * dx IF ( km_neutral > 0.0_wp ) THEN dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral ELSE dvdx = 0.0_wp dwdx = 0.0_wp ENDIF ELSE dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx ENDIF def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDDO ! !-- (4) - will allways be executed. !-- 'special case: free atmosphere' (as for case (0)) k = nzb_diff_s_outer(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ELSE ! !-- Position without adjacent wall !-- (1) - will allways be executed. !-- 'bottom only: use u_0,v_0' k = nzb_diff_s_inner(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDIF ELSEIF ( use_surface_fluxes ) THEN k = nzb_diff_s_outer(j,i)-1 dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & u(k,j-1,i) - u(k,j-1,i+1) ) * ddy dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & v(k,j,i-1) - v(k,j+1,i-1) ) * ddx dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & w(k,j,i-1) - w(k-1,j,i-1) ) * ddx dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & w(k,j-1,i) - w(k-1,j-1,i) ) * ddy dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) IF ( def < 0.0_wp ) def = 0.0_wp tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def ENDIF ! !-- If required, calculate TKE production by buoyancy IF ( .NOT. neutral ) THEN IF ( .NOT. humidity ) THEN IF ( use_single_reference_value ) THEN IF ( ocean ) THEN ! !-- So far in the ocean no special treatment of density flux in !-- the bottom and top surface layer DO k = nzb_s_inner(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) + & kh(k,j,i) * g / rho_reference * & ( prho(k+1,j,i) - prho(k-1,j,i) ) * dd2zu(k) ENDDO ELSE DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) - & kh(k,j,i) * g / pt_reference * & ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) ENDDO IF ( use_surface_fluxes ) THEN k = nzb_diff_s_inner(j,i)-1 tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) ENDIF IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) ENDIF ENDIF ELSE IF ( ocean ) THEN ! !-- So far in the ocean no special treatment of density flux in !-- the bottom and top surface layer DO k = nzb_s_inner(j,i)+1, nzt tend(k,j,i) = tend(k,j,i) + & kh(k,j,i) * g / prho(k,j,i) * & ( prho(k+1,j,i) - prho(k-1,j,i) ) * dd2zu(k) ENDDO ELSE DO k = nzb_diff_s_inner(j,i), nzt_diff tend(k,j,i) = tend(k,j,i) - & kh(k,j,i) * g / pt(k,j,i) * & ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) ENDDO IF ( use_surface_fluxes ) THEN k = nzb_diff_s_inner(j,i)-1 tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) ENDIF IF ( use_top_fluxes ) THEN k = nzt tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) ENDIF ENDIF ENDIF ELSE DO k = nzb_diff_s_inner(j,i), nzt_diff IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & ) * dd2zu(k) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & ) * dd2zu(k) ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & pt(k,j,i) * ( ql(k+1,j,i) - & ql(k-1,j,i) ) ) * dd2zu(k) ENDIF ENDDO IF ( use_surface_fluxes ) THEN k = nzb_diff_s_inner(j,i)-1 IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) ENDIF tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & ( k1* shf(j,i) + k2 * qsws(j,i) ) ENDIF IF ( use_top_fluxes ) THEN k = nzt IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE IF ( cloud_physics ) THEN IF ( ql(k,j,i) == 0.0_wp ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) k2 = 0.61_wp * pt(k,j,i) ELSE theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) temp = theta * t_d_pt(k) k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & ( q(k,j,i) - ql(k,j,i) ) * & ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) ENDIF ELSE IF ( cloud_droplets ) THEN k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) k2 = 0.61_wp * pt(k,j,i) ENDIF tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & ( k1* tswst(j,i) + k2 * qswst(j,i) ) ENDIF ENDIF ENDIF END SUBROUTINE production_e_ij !------------------------------------------------------------------------------! ! Description: ! ------------ !> @todo Missing subroutine description. !------------------------------------------------------------------------------! SUBROUTINE production_e_init USE arrays_3d, & ONLY: kh, km, u, us, usws, v, vsws, zu USE control_parameters, & ONLY: constant_flux_layer, kappa USE indices, & ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & nzb_v_inner IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: ku !< INTEGER(iwp) :: kv !< IF ( constant_flux_layer ) THEN IF ( first_call ) THEN ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) u_0 = 0.0_wp ! just to avoid access of uninitialized memory v_0 = 0.0_wp ! within exchange_horiz_2d first_call = .FALSE. ENDIF ! !-- Calculate a virtual velocity at the surface in a way that the !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear !-- production term at k=1 (see production_e_ij). !-- The velocity gradient has to be limited in case of too small km !-- (otherwise the timestep may be significantly reduced by large !-- surface winds). !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are !-- not available in case of non-cyclic boundary conditions. !-- WARNING: the exact analytical solution would require the determination !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. !$OMP PARALLEL DO PRIVATE( ku, kv ) DO i = nxl, nxr+1 DO j = nys, nyn+1 ku = nzb_u_inner(j,i)+1 kv = nzb_v_inner(j,i)+1 u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & ( 0.5_wp * ( km(ku,j,i) + km(ku,j,i-1) ) + & 1.0E-20_wp ) ! ( us(j,i) * kappa * zu(1) ) v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & ( 0.5_wp * ( km(kv,j,i) + km(kv,j-1,i) ) + & 1.0E-20_wp ) ! ( us(j,i) * kappa * zu(1) ) IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) ENDDO ENDDO CALL exchange_horiz_2d( u_0 ) CALL exchange_horiz_2d( v_0 ) ENDIF END SUBROUTINE production_e_init END MODULE production_e_mod