!> @file prognostic_equations.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: prognostic_equations.f90 2193 2017-03-22 04:21:28Z kanani $ ! ! 2192 2017-03-22 04:14:10Z raasch ! Bugfix for misplaced and missing openMP directives from r2155 ! ! 2155 2017-02-21 09:57:40Z hoffmann ! Bugfix in the calculation of microphysical quantities on ghost points. ! ! 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 ! ! 2011 2016-09-19 17:29:57Z kanani ! Flag urban_surface is now defined in module control_parameters. ! ! 2007 2016-08-24 15:47:17Z kanani ! Added pt tendency calculation based on energy balance at urban surfaces ! (new urban surface model) ! ! 2000 2016-08-20 18:09:15Z knoop ! Forced header and separation lines into 80 columns ! ! 1976 2016-07-27 13:28:04Z maronga ! Simplied calls to radiation model ! ! 1960 2016-07-12 16:34:24Z suehring ! Separate humidity and passive scalar ! ! 1914 2016-05-26 14:44:07Z witha ! Added calls for wind turbine model ! ! 1873 2016-04-18 14:50:06Z maronga ! Module renamed (removed _mod) ! ! 1850 2016-04-08 13:29:27Z maronga ! Module renamed ! ! 1826 2016-04-07 12:01:39Z maronga ! Renamed canopy model calls. ! ! 1822 2016-04-07 07:49:42Z hoffmann ! Kessler microphysics scheme moved to microphysics. ! ! 1757 2016-02-22 15:49:32Z maronga ! ! 1691 2015-10-26 16:17:44Z maronga ! Added optional model spin-up without radiation / land surface model calls. ! Formatting corrections. ! ! 1682 2015-10-07 23:56:08Z knoop ! Code annotations made doxygen readable ! ! 1585 2015-04-30 07:05:52Z maronga ! Added call for temperature tendency calculation due to radiative flux divergence ! ! 1517 2015-01-07 19:12:25Z hoffmann ! advec_s_bc_mod addded, since advec_s_bc is now a module ! ! 1496 2014-12-02 17:25:50Z maronga ! Renamed "radiation" -> "cloud_top_radiation" ! ! 1484 2014-10-21 10:53:05Z kanani ! Changes due to new module structure of the plant canopy model: ! parameters cthf and plant_canopy moved to module plant_canopy_model_mod. ! Removed double-listing of use_upstream_for_tke in ONLY-list of module ! control_parameters ! ! 1409 2014-05-23 12:11:32Z suehring ! Bugfix: i_omp_start changed for advec_u_ws at left inflow and outflow boundary. ! This ensures that left-hand side fluxes are also calculated for nxl in that ! case, even though the solution at nxl is overwritten in boundary_conds() ! ! 1398 2014-05-07 11:15:00Z heinze ! Rayleigh-damping for horizontal velocity components changed: instead of damping ! against ug and vg, damping against u_init and v_init is used to allow for a ! homogenized treatment in case of nudging ! ! 1380 2014-04-28 12:40:45Z heinze ! Change order of calls for scalar prognostic quantities: ! ls_advec -> nudging -> subsidence since initial profiles ! ! 1374 2014-04-25 12:55:07Z raasch ! missing variables added to ONLY lists ! ! 1365 2014-04-22 15:03:56Z boeske ! Calls of ls_advec for large scale advection added, ! subroutine subsidence is only called if use_subsidence_tendencies = .F., ! new argument ls_index added to the calls of subsidence ! +ls_index ! ! 1361 2014-04-16 15:17:48Z hoffmann ! Two-moment microphysics moved to the start of prognostic equations. This makes ! the 3d arrays for tend_q, tend_qr, tend_pt and tend_pt redundant. ! Additionally, it is allowed to call the microphysics just once during the time ! step (not at each sub-time step). ! ! Two-moment cloud physics added for vector and accelerator optimization. ! ! 1353 2014-04-08 15:21:23Z heinze ! REAL constants provided with KIND-attribute ! ! 1337 2014-03-25 15:11:48Z heinze ! Bugfix: REAL constants provided with KIND-attribute ! ! 1332 2014-03-25 11:59:43Z suehring ! Bugfix: call advec_ws or advec_pw for TKE only if NOT use_upstream_for_tke ! ! 1330 2014-03-24 17:29:32Z suehring ! In case of SGS-particle velocity advection of TKE is also allowed with ! dissipative 5th-order scheme. ! ! 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 ! ! 1318 2014-03-17 13:35:16Z raasch ! module interfaces removed ! ! 1257 2013-11-08 15:18:40Z raasch ! openacc loop vector clauses removed, independent clauses added ! ! 1246 2013-11-01 08:59:45Z heinze ! enable nudging also for accelerator version ! ! 1241 2013-10-30 11:36:58Z heinze ! usage of nudging enabled (so far not implemented for accelerator version) ! ! 1179 2013-06-14 05:57:58Z raasch ! two arguments removed from routine buoyancy, ref_state updated on device ! ! 1128 2013-04-12 06:19:32Z raasch ! those parts requiring global communication moved to time_integration, ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, ! j_north ! ! 1115 2013-03-26 18:16:16Z hoffmann ! optimized cloud physics: calculation of microphysical tendencies transfered ! to microphysics.f90; qr and nr are only calculated if precipitation is required ! ! 1111 2013-03-08 23:54:10Z raasch ! update directives for prognostic quantities removed ! ! 1106 2013-03-04 05:31:38Z raasch ! small changes in code formatting ! ! 1092 2013-02-02 11:24:22Z raasch ! unused variables removed ! ! 1053 2012-11-13 17:11:03Z hoffmann ! implementation of two new prognostic equations for rain drop concentration (nr) ! and rain water content (qr) ! ! currently, only available for cache loop optimization ! ! 1036 2012-10-22 13:43:42Z raasch ! code put under GPL (PALM 3.9) ! ! 1019 2012-09-28 06:46:45Z raasch ! non-optimized version of prognostic_equations removed ! ! 1015 2012-09-27 09:23:24Z raasch ! new branch prognostic_equations_acc ! OpenACC statements added + code changes required for GPU optimization ! ! 1001 2012-09-13 14:08:46Z raasch ! all actions concerning leapfrog- and upstream-spline-scheme removed ! ! 978 2012-08-09 08:28:32Z fricke ! km_damp_x and km_damp_y removed in calls of diffusion_u and diffusion_v ! add ptdf_x, ptdf_y for damping the potential temperature at the inflow ! boundary in case of non-cyclic lateral boundaries ! Bugfix: first thread index changes for WS-scheme at the inflow ! ! 940 2012-07-09 14:31:00Z raasch ! temperature equation can be switched off ! ! Revision 1.1 2000/04/13 14:56:27 schroeter ! Initial revision ! ! ! Description: ! ------------ !> Solving the prognostic equations. !------------------------------------------------------------------------------! MODULE prognostic_equations_mod USE arrays_3d, & ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, & diss_l_s, diss_l_sa, diss_s_e, diss_s_nr, diss_s_pt, diss_s_q, & diss_s_qr, diss_s_s, diss_s_sa, e, e_p, flux_s_e, flux_s_nr, & flux_s_pt, flux_s_q, flux_s_qr, flux_s_s, flux_s_sa, flux_l_e, & flux_l_nr, flux_l_pt, flux_l_q, flux_l_qr, flux_l_s, flux_l_sa, & nr, nr_p, nrsws, nrswst, pt, ptdf_x, ptdf_y, pt_init, pt_p, & prho, q, q_init, q_p, qsws, qswst, qr, qr_p, qrsws, qrswst, rdf,& rdf_sc, ref_state, rho_ocean, s, s_init, s_p, sa, sa_init, sa_p, & saswsb, saswst, shf, ssws, sswst, tend, & te_m, tnr_m, tpt_m, tq_m, tqr_m, ts_m, tsa_m, tswst, tu_m, tv_m,& tw_m, u, ug, u_init, u_p, v, vg, vpt, v_init, v_p, w, w_p USE control_parameters, & ONLY: call_microphysics_at_all_substeps, cloud_physics, & cloud_top_radiation, constant_diffusion, dp_external, & dp_level_ind_b, dp_smooth_factor, dpdxy, dt_3d, humidity, & inflow_l, intermediate_timestep_count, & intermediate_timestep_count_max, large_scale_forcing, & large_scale_subsidence, microphysics_seifert, & microphysics_sat_adjust, neutral, nudging, ocean, outflow_l, & outflow_s, passive_scalar, prho_reference, prho_reference, & prho_reference, pt_reference, pt_reference, pt_reference, & scalar_advec, scalar_advec, simulated_time, sloping_surface, & timestep_scheme, tsc, urban_surface, use_subsidence_tendencies, & use_upstream_for_tke, wall_heatflux, & wall_nrflux, wall_qflux, wall_qflux, wall_qflux, wall_qrflux, & wall_salinityflux, wall_sflux, ws_scheme_mom, ws_scheme_sca USE cpulog, & ONLY: cpu_log, log_point USE eqn_state_seawater_mod, & ONLY: eqn_state_seawater USE indices, & ONLY: nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, & nzb_s_inner, nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt USE advec_ws, & ONLY: advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws USE advec_s_bc_mod, & ONLY: advec_s_bc USE advec_s_pw_mod, & ONLY: advec_s_pw USE advec_s_up_mod, & ONLY: advec_s_up USE advec_u_pw_mod, & ONLY: advec_u_pw USE advec_u_up_mod, & ONLY: advec_u_up USE advec_v_pw_mod, & ONLY: advec_v_pw USE advec_v_up_mod, & ONLY: advec_v_up USE advec_w_pw_mod, & ONLY: advec_w_pw USE advec_w_up_mod, & ONLY: advec_w_up USE buoyancy_mod, & ONLY: buoyancy USE calc_radiation_mod, & ONLY: calc_radiation USE coriolis_mod, & ONLY: coriolis USE diffusion_e_mod, & ONLY: diffusion_e USE diffusion_s_mod, & ONLY: diffusion_s USE diffusion_u_mod, & ONLY: diffusion_u USE diffusion_v_mod, & ONLY: diffusion_v USE diffusion_w_mod, & ONLY: diffusion_w USE kinds USE ls_forcing_mod, & ONLY: ls_advec USE microphysics_mod, & ONLY: microphysics_control USE nudge_mod, & ONLY: nudge USE plant_canopy_model_mod, & ONLY: cthf, plant_canopy, pcm_tendency USE production_e_mod, & ONLY: production_e USE radiation_model_mod, & ONLY: radiation, radiation_tendency, & skip_time_do_radiation USE statistics, & ONLY: hom USE subsidence_mod, & ONLY: subsidence USE urban_surface_mod, & ONLY: usm_wall_heat_flux USE user_actions_mod, & ONLY: user_actions USE wind_turbine_model_mod, & ONLY: wind_turbine, wtm_tendencies PRIVATE PUBLIC prognostic_equations_cache, prognostic_equations_vector INTERFACE prognostic_equations_cache MODULE PROCEDURE prognostic_equations_cache END INTERFACE prognostic_equations_cache INTERFACE prognostic_equations_vector MODULE PROCEDURE prognostic_equations_vector END INTERFACE prognostic_equations_vector CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Version with one optimized loop over all equations. It is only allowed to !> be called for the Wicker and Skamarock or Piascek-Williams advection scheme. !> !> Here the calls of most subroutines are embedded in two DO loops over i and j, !> so communication between CPUs is not allowed (does not make sense) within !> these loops. !> !> (Optimized to avoid cache missings, i.e. for Power4/5-architectures.) !------------------------------------------------------------------------------! SUBROUTINE prognostic_equations_cache IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: i_omp_start !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< INTEGER(iwp) :: omp_get_thread_num !< INTEGER(iwp) :: tn = 0 !< LOGICAL :: loop_start !< ! !-- Time measurement can only be performed for the whole set of equations CALL cpu_log( log_point(32), 'all progn.equations', 'start' ) ! !-- If required, calculate cloud microphysics IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. & ( intermediate_timestep_count == 1 .OR. & call_microphysics_at_all_substeps ) ) & THEN !$OMP PARALLEL private (i,j) !$OMP DO DO i = nxlg, nxrg DO j = nysg, nyng CALL microphysics_control( i, j ) ENDDO ENDDO !$OMP END PARALLEL ENDIF ! !-- Loop over all prognostic equations !$OMP PARALLEL private (i,i_omp_start,j,k,loop_start,tn) !$ tn = omp_get_thread_num() loop_start = .TRUE. !$OMP DO DO i = nxl, nxr ! !-- Store the first loop index. It differs for each thread and is required !-- later in advec_ws IF ( loop_start ) THEN loop_start = .FALSE. i_omp_start = i ENDIF DO j = nys, nyn ! !-- Tendency terms for u-velocity component IF ( .NOT. outflow_l .OR. i > nxl ) THEN tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_u_ws( i, j, i_omp_start, tn ) ELSE CALL advec_u_pw( i, j ) ENDIF ELSE CALL advec_u_up( i, j ) ENDIF CALL diffusion_u( i, j ) CALL coriolis( i, j, 1 ) IF ( sloping_surface .AND. .NOT. neutral ) THEN CALL buoyancy( i, j, pt, 1 ) ENDIF ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( i, j, 1 ) ! !-- External pressure gradient IF ( dp_external ) THEN DO k = dp_level_ind_b+1, nzt tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k) ENDDO ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( i, j, simulated_time, 'u' ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( i, j, 1 ) CALL user_actions( i, j, 'u-tendency' ) ! !-- Prognostic equation for u-velocity component DO k = nzb_u_inner(j,i)+1, nzt u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tu_m(k,j,i) ) & - tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) ) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_u_inner(j,i)+1, nzt tu_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_u_inner(j,i)+1, nzt tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! !-- Tendency terms for v-velocity component IF ( .NOT. outflow_s .OR. j > nys ) THEN tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_v_ws( i, j, i_omp_start, tn ) ELSE CALL advec_v_pw( i, j ) ENDIF ELSE CALL advec_v_up( i, j ) ENDIF CALL diffusion_v( i, j ) CALL coriolis( i, j, 2 ) ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( i, j, 2 ) ! !-- External pressure gradient IF ( dp_external ) THEN DO k = dp_level_ind_b+1, nzt tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k) ENDDO ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( i, j, simulated_time, 'v' ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( i, j, 2 ) CALL user_actions( i, j, 'v-tendency' ) ! !-- Prognostic equation for v-velocity component DO k = nzb_v_inner(j,i)+1, nzt v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tv_m(k,j,i) ) & - tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) ) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_v_inner(j,i)+1, nzt tv_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_v_inner(j,i)+1, nzt tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! !-- Tendency terms for w-velocity component tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_w_ws( i, j, i_omp_start, tn ) ELSE CALL advec_w_pw( i, j ) END IF ELSE CALL advec_w_up( i, j ) ENDIF CALL diffusion_w( i, j ) CALL coriolis( i, j, 3 ) IF ( .NOT. neutral ) THEN IF ( ocean ) THEN CALL buoyancy( i, j, rho_ocean, 3 ) ELSE IF ( .NOT. humidity ) THEN CALL buoyancy( i, j, pt, 3 ) ELSE CALL buoyancy( i, j, vpt, 3 ) ENDIF ENDIF ENDIF ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( i, j, 3 ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( i, j, 3 ) CALL user_actions( i, j, 'w-tendency' ) ! !-- Prognostic equation for w-velocity component DO k = nzb_w_inner(j,i)+1, nzt-1 w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tw_m(k,j,i) ) & - tsc(5) * rdf(k) * w(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_w_inner(j,i)+1, nzt-1 tw_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_w_inner(j,i)+1, nzt-1 tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i) ENDDO ENDIF ENDIF ! !-- If required, compute prognostic equation for potential temperature IF ( .NOT. neutral ) THEN ! !-- Tendency terms for potential temperature tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, pt, 'pt', flux_s_pt, diss_s_pt, & flux_l_pt, diss_l_pt, i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, pt ) ENDIF ELSE CALL advec_s_up( i, j, pt ) ENDIF CALL diffusion_s( i, j, pt, shf, tswst, wall_heatflux ) ! !-- Tendency pt from wall heat flux from urban surface IF ( urban_surface ) THEN CALL usm_wall_heat_flux( i, j ) ENDIF ! !-- If required compute heating/cooling due to long wave radiation !-- processes IF ( cloud_top_radiation ) THEN CALL calc_radiation( i, j ) ENDIF ! !-- Consideration of heat sources within the plant canopy IF ( plant_canopy .AND. cthf /= 0.0_wp ) THEN CALL pcm_tendency( i, j, 4 ) ENDIF ! !-- Large scale advection IF ( large_scale_forcing ) THEN CALL ls_advec( i, j, simulated_time, 'pt' ) ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( i, j, simulated_time, 'pt' ) ! !-- If required, compute effect of large-scale subsidence/ascent IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies ) THEN CALL subsidence( i, j, tend, pt, pt_init, 2 ) ENDIF ! !-- If required, add tendency due to radiative heating/cooling IF ( radiation .AND. & simulated_time > skip_time_do_radiation ) THEN CALL radiation_tendency ( i, j, tend ) ENDIF CALL user_actions( i, j, 'pt-tendency' ) ! !-- Prognostic equation for potential temperature DO k = nzb_s_inner(j,i)+1, nzt pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tpt_m(k,j,i) ) & - tsc(5) * ( pt(k,j,i) - pt_init(k) ) *& ( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) ) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt tpt_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tpt_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! !-- If required, compute prognostic equation for salinity IF ( ocean ) THEN ! !-- Tendency-terms for salinity tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) & THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, sa, 'sa', flux_s_sa, & diss_s_sa, flux_l_sa, diss_l_sa, i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, sa ) ENDIF ELSE CALL advec_s_up( i, j, sa ) ENDIF CALL diffusion_s( i, j, sa, saswsb, saswst, wall_salinityflux ) CALL user_actions( i, j, 'sa-tendency' ) ! !-- Prognostic equation for salinity DO k = nzb_s_inner(j,i)+1, nzt sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tsa_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( sa(k,j,i) - sa_init(k) ) IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt tsa_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tsa_m(k,j,i) ENDDO ENDIF ENDIF ! !-- Calculate density by the equation of state for seawater CALL eqn_state_seawater( i, j ) ENDIF ! !-- If required, compute prognostic equation for total water content IF ( humidity ) THEN ! !-- Tendency-terms for total water content / scalar tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) & THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, q, 'q', flux_s_q, & diss_s_q, flux_l_q, diss_l_q, i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, q ) ENDIF ELSE CALL advec_s_up( i, j, q ) ENDIF CALL diffusion_s( i, j, q, qsws, qswst, wall_qflux ) ! !-- Sink or source of humidity due to canopy elements IF ( plant_canopy ) CALL pcm_tendency( i, j, 5 ) ! !-- Large scale advection IF ( large_scale_forcing ) THEN CALL ls_advec( i, j, simulated_time, 'q' ) ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( i, j, simulated_time, 'q' ) ! !-- If required compute influence of large-scale subsidence/ascent IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies ) THEN CALL subsidence( i, j, tend, q, q_init, 3 ) ENDIF CALL user_actions( i, j, 'q-tendency' ) ! !-- Prognostic equation for total water content / scalar DO k = nzb_s_inner(j,i)+1, nzt q_p(k,j,i) = q(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tq_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( q(k,j,i) - q_init(k) ) IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt tq_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tq_m(k,j,i) ENDDO ENDIF ENDIF ! !-- If required, calculate prognostic equations for rain water content !-- and rain drop concentration IF ( cloud_physics .AND. microphysics_seifert ) THEN ! !-- Calculate prognostic equation for rain water content tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) & THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, qr, 'qr', flux_s_qr, & diss_s_qr, flux_l_qr, diss_l_qr, & i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, qr ) ENDIF ELSE CALL advec_s_up( i, j, qr ) ENDIF CALL diffusion_s( i, j, qr, qrsws, qrswst, wall_qrflux ) ! !-- Prognostic equation for rain water content DO k = nzb_s_inner(j,i)+1, nzt qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tqr_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * qr(k,j,i) IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt tqr_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tqr_m(k,j,i) ENDDO ENDIF ENDIF ! !-- Calculate prognostic equation for rain drop concentration. tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, nr, 'nr', flux_s_nr, & diss_s_nr, flux_l_nr, diss_l_nr, & i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, nr ) ENDIF ELSE CALL advec_s_up( i, j, nr ) ENDIF CALL diffusion_s( i, j, nr, nrsws, nrswst, wall_nrflux ) ! !-- Prognostic equation for rain drop concentration DO k = nzb_s_inner(j,i)+1, nzt nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tnr_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * nr(k,j,i) IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt tnr_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tnr_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ENDIF ! !-- If required, compute prognostic equation for scalar IF ( passive_scalar ) THEN ! !-- Tendency-terms for total water content / scalar tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) & THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, s, 's', flux_s_s, & diss_s_s, flux_l_s, diss_l_s, i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, s ) ENDIF ELSE CALL advec_s_up( i, j, s ) ENDIF CALL diffusion_s( i, j, s, ssws, sswst, wall_sflux ) ! !-- Sink or source of scalar concentration due to canopy elements IF ( plant_canopy ) CALL pcm_tendency( i, j, 7 ) ! !-- Large scale advection, still need to be extended for scalars ! IF ( large_scale_forcing ) THEN ! CALL ls_advec( i, j, simulated_time, 's' ) ! ENDIF ! !-- Nudging, still need to be extended for scalars ! IF ( nudging ) CALL nudge( i, j, simulated_time, 's' ) ! !-- If required compute influence of large-scale subsidence/ascent. !-- Note, the last argument is of no meaning in this case, as it is !-- only used in conjunction with large_scale_forcing, which is to !-- date not implemented for scalars. IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies .AND. & .NOT. large_scale_forcing ) THEN CALL subsidence( i, j, tend, s, s_init, 3 ) ENDIF CALL user_actions( i, j, 's-tendency' ) ! !-- Prognostic equation for scalar DO k = nzb_s_inner(j,i)+1, nzt s_p(k,j,i) = s(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * ts_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( s(k,j,i) - s_init(k) ) IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt ts_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * ts_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! !-- If required, compute prognostic equation for turbulent kinetic !-- energy (TKE) IF ( .NOT. constant_diffusion ) THEN ! !-- Tendency-terms for TKE tend(:,j,i) = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' & .AND. .NOT. use_upstream_for_tke ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( i, j, e, 'e', flux_s_e, diss_s_e, & flux_l_e, diss_l_e , i_omp_start, tn ) ELSE CALL advec_s_pw( i, j, e ) ENDIF ELSE CALL advec_s_up( i, j, e ) ENDIF IF ( .NOT. humidity ) THEN IF ( ocean ) THEN CALL diffusion_e( i, j, prho, prho_reference ) ELSE CALL diffusion_e( i, j, pt, pt_reference ) ENDIF ELSE CALL diffusion_e( i, j, vpt, pt_reference ) ENDIF CALL production_e( i, j ) ! !-- Additional sink term for flows through plant canopies IF ( plant_canopy ) CALL pcm_tendency( i, j, 6 ) CALL user_actions( i, j, 'e-tendency' ) ! !-- Prognostic equation for TKE. !-- Eliminate negative TKE values, which can occur due to numerical !-- reasons in the course of the integration. In such cases the old !-- TKE value is reduced by 90%. DO k = nzb_s_inner(j,i)+1, nzt e_p(k,j,i) = e(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * te_m(k,j,i) ) IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i) ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO k = nzb_s_inner(j,i)+1, nzt te_m(k,j,i) = tend(k,j,i) ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO k = nzb_s_inner(j,i)+1, nzt te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * te_m(k,j,i) ENDDO ENDIF ENDIF ENDIF ! TKE equation ENDDO ENDDO !$OMP END PARALLEL CALL cpu_log( log_point(32), 'all progn.equations', 'stop' ) END SUBROUTINE prognostic_equations_cache !------------------------------------------------------------------------------! ! Description: ! ------------ !> Version for vector machines !------------------------------------------------------------------------------! SUBROUTINE prognostic_equations_vector IMPLICIT NONE INTEGER(iwp) :: i !< INTEGER(iwp) :: j !< INTEGER(iwp) :: k !< REAL(wp) :: sbt !< ! !-- If required, calculate cloud microphysical impacts IF ( cloud_physics .AND. .NOT. microphysics_sat_adjust .AND. & ( intermediate_timestep_count == 1 .OR. & call_microphysics_at_all_substeps ) & ) THEN CALL cpu_log( log_point(51), 'microphysics', 'start' ) CALL microphysics_control CALL cpu_log( log_point(51), 'microphysics', 'stop' ) ENDIF ! !-- u-velocity component CALL cpu_log( log_point(5), 'u-equation', 'start' ) tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_u_ws ELSE CALL advec_u_pw ENDIF ELSE CALL advec_u_up ENDIF CALL diffusion_u CALL coriolis( 1 ) IF ( sloping_surface .AND. .NOT. neutral ) THEN CALL buoyancy( pt, 1 ) ENDIF ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( 1 ) ! !-- External pressure gradient IF ( dp_external ) THEN DO i = nxlu, nxr DO j = nys, nyn DO k = dp_level_ind_b+1, nzt tend(k,j,i) = tend(k,j,i) - dpdxy(1) * dp_smooth_factor(k) ENDDO ENDDO ENDDO ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( simulated_time, 'u' ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( 1 ) CALL user_actions( 'u-tendency' ) ! !-- Prognostic equation for u-velocity component DO i = nxlu, nxr DO j = nys, nyn DO k = nzb_u_inner(j,i)+1, nzt u_p(k,j,i) = u(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tu_m(k,j,i) ) & - tsc(5) * rdf(k) * ( u(k,j,i) - u_init(k) ) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxlu, nxr DO j = nys, nyn DO k = nzb_u_inner(j,i)+1, nzt tu_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxlu, nxr DO j = nys, nyn DO k = nzb_u_inner(j,i)+1, nzt tu_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tu_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(5), 'u-equation', 'stop' ) ! !-- v-velocity component CALL cpu_log( log_point(6), 'v-equation', 'start' ) tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_v_ws ELSE CALL advec_v_pw END IF ELSE CALL advec_v_up ENDIF CALL diffusion_v CALL coriolis( 2 ) ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( 2 ) ! !-- External pressure gradient IF ( dp_external ) THEN DO i = nxl, nxr DO j = nysv, nyn DO k = dp_level_ind_b+1, nzt tend(k,j,i) = tend(k,j,i) - dpdxy(2) * dp_smooth_factor(k) ENDDO ENDDO ENDDO ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( simulated_time, 'v' ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( 2 ) CALL user_actions( 'v-tendency' ) ! !-- Prognostic equation for v-velocity component DO i = nxl, nxr DO j = nysv, nyn DO k = nzb_v_inner(j,i)+1, nzt v_p(k,j,i) = v(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tv_m(k,j,i) ) & - tsc(5) * rdf(k) * ( v(k,j,i) - v_init(k) ) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nysv, nyn DO k = nzb_v_inner(j,i)+1, nzt tv_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nysv, nyn DO k = nzb_v_inner(j,i)+1, nzt tv_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tv_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(6), 'v-equation', 'stop' ) ! !-- w-velocity component CALL cpu_log( log_point(7), 'w-equation', 'start' ) tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_mom ) THEN CALL advec_w_ws ELSE CALL advec_w_pw ENDIF ELSE CALL advec_w_up ENDIF CALL diffusion_w CALL coriolis( 3 ) IF ( .NOT. neutral ) THEN IF ( ocean ) THEN CALL buoyancy( rho_ocean, 3 ) ELSE IF ( .NOT. humidity ) THEN CALL buoyancy( pt, 3 ) ELSE CALL buoyancy( vpt, 3 ) ENDIF ENDIF ENDIF ! !-- Drag by plant canopy IF ( plant_canopy ) CALL pcm_tendency( 3 ) ! !-- Forces by wind turbines IF ( wind_turbine ) CALL wtm_tendencies( 3 ) CALL user_actions( 'w-tendency' ) ! !-- Prognostic equation for w-velocity component DO i = nxl, nxr DO j = nys, nyn DO k = nzb_w_inner(j,i)+1, nzt-1 w_p(k,j,i) = w(k,j,i) + dt_3d * ( tsc(2) * tend(k,j,i) + & tsc(3) * tw_m(k,j,i) ) & - tsc(5) * rdf(k) * w(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_w_inner(j,i)+1, nzt-1 tw_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_w_inner(j,i)+1, nzt-1 tw_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tw_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(7), 'w-equation', 'stop' ) ! !-- If required, compute prognostic equation for potential temperature IF ( .NOT. neutral ) THEN CALL cpu_log( log_point(13), 'pt-equation', 'start' ) ! !-- pt-tendency terms with communication sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( pt, 'pt' ) ENDIF ! !-- pt-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( pt, 'pt' ) ELSE CALL advec_s_pw( pt ) ENDIF ELSE CALL advec_s_up( pt ) ENDIF ENDIF CALL diffusion_s( pt, shf, tswst, wall_heatflux ) ! !-- Tendency pt from wall heat flux from urban surface IF ( urban_surface ) THEN CALL usm_wall_heat_flux ENDIF ! !-- If required compute heating/cooling due to long wave radiation processes IF ( cloud_top_radiation ) THEN CALL calc_radiation ENDIF ! !-- Consideration of heat sources within the plant canopy IF ( plant_canopy .AND. ( cthf /= 0.0_wp ) ) THEN CALL pcm_tendency( 4 ) ENDIF ! !-- Large scale advection IF ( large_scale_forcing ) THEN CALL ls_advec( simulated_time, 'pt' ) ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( simulated_time, 'pt' ) ! !-- If required compute influence of large-scale subsidence/ascent IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies ) THEN CALL subsidence( tend, pt, pt_init, 2 ) ENDIF ! !-- If required, add tendency due to radiative heating/cooling IF ( radiation .AND. & simulated_time > skip_time_do_radiation ) THEN CALL radiation_tendency ( tend ) ENDIF CALL user_actions( 'pt-tendency' ) ! !-- Prognostic equation for potential temperature DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt pt_p(k,j,i) = pt(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tpt_m(k,j,i) ) & - tsc(5) * ( pt(k,j,i) - pt_init(k) ) *& ( rdf_sc(k) + ptdf_x(i) + ptdf_y(j) ) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tpt_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tpt_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tpt_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(13), 'pt-equation', 'stop' ) ENDIF ! !-- If required, compute prognostic equation for salinity IF ( ocean ) THEN CALL cpu_log( log_point(37), 'sa-equation', 'start' ) ! !-- sa-tendency terms with communication sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( sa, 'sa' ) ENDIF ! !-- sa-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( sa, 'sa' ) ELSE CALL advec_s_pw( sa ) ENDIF ELSE CALL advec_s_up( sa ) ENDIF ENDIF CALL diffusion_s( sa, saswsb, saswst, wall_salinityflux ) CALL user_actions( 'sa-tendency' ) ! !-- Prognostic equation for salinity DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt sa_p(k,j,i) = sa(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tsa_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( sa(k,j,i) - sa_init(k) ) IF ( sa_p(k,j,i) < 0.0_wp ) sa_p(k,j,i) = 0.1_wp * sa(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tsa_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tsa_m(k,j,i) = -9.5625_wp * tend(k,j,i) + & 5.3125_wp * tsa_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(37), 'sa-equation', 'stop' ) ! !-- Calculate density by the equation of state for seawater CALL cpu_log( log_point(38), 'eqns-seawater', 'start' ) CALL eqn_state_seawater CALL cpu_log( log_point(38), 'eqns-seawater', 'stop' ) ENDIF ! !-- If required, compute prognostic equation for total water content IF ( humidity ) THEN CALL cpu_log( log_point(29), 'q-equation', 'start' ) ! !-- Scalar/q-tendency terms with communication sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( q, 'q' ) ENDIF ! !-- Scalar/q-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( q, 'q' ) ELSE CALL advec_s_pw( q ) ENDIF ELSE CALL advec_s_up( q ) ENDIF ENDIF CALL diffusion_s( q, qsws, qswst, wall_qflux ) ! !-- Sink or source of humidity due to canopy elements IF ( plant_canopy ) CALL pcm_tendency( 5 ) ! !-- Large scale advection IF ( large_scale_forcing ) THEN CALL ls_advec( simulated_time, 'q' ) ENDIF ! !-- Nudging IF ( nudging ) CALL nudge( simulated_time, 'q' ) ! !-- If required compute influence of large-scale subsidence/ascent IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies ) THEN CALL subsidence( tend, q, q_init, 3 ) ENDIF CALL user_actions( 'q-tendency' ) ! !-- Prognostic equation for total water content DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt q_p(k,j,i) = q(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tq_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( q(k,j,i) - q_init(k) ) IF ( q_p(k,j,i) < 0.0_wp ) q_p(k,j,i) = 0.1_wp * q(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tq_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tq_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * tq_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(29), 'q-equation', 'stop' ) ! !-- If required, calculate prognostic equations for rain water content !-- and rain drop concentration IF ( cloud_physics .AND. microphysics_seifert ) THEN CALL cpu_log( log_point(52), 'qr-equation', 'start' ) ! !-- Calculate prognostic equation for rain water content sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( qr, 'qr' ) ENDIF ! !-- qr-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( qr, 'qr' ) ELSE CALL advec_s_pw( qr ) ENDIF ELSE CALL advec_s_up( qr ) ENDIF ENDIF CALL diffusion_s( qr, qrsws, qrswst, wall_qrflux ) ! !-- Prognostic equation for rain water content DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt qr_p(k,j,i) = qr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tqr_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * qr(k,j,i) IF ( qr_p(k,j,i) < 0.0_wp ) qr_p(k,j,i) = 0.0_wp ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tqr_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tqr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * & tqr_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(52), 'qr-equation', 'stop' ) CALL cpu_log( log_point(53), 'nr-equation', 'start' ) ! !-- Calculate prognostic equation for rain drop concentration sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( nr, 'nr' ) ENDIF ! !-- nr-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( nr, 'nr' ) ELSE CALL advec_s_pw( nr ) ENDIF ELSE CALL advec_s_up( nr ) ENDIF ENDIF CALL diffusion_s( nr, nrsws, nrswst, wall_nrflux ) ! !-- Prognostic equation for rain drop concentration DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt nr_p(k,j,i) = nr(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * tnr_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * nr(k,j,i) IF ( nr_p(k,j,i) < 0.0_wp ) nr_p(k,j,i) = 0.0_wp ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tnr_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt tnr_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * & tnr_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(53), 'nr-equation', 'stop' ) ENDIF ENDIF ! !-- If required, compute prognostic equation for scalar IF ( passive_scalar ) THEN CALL cpu_log( log_point(66), 's-equation', 'start' ) ! !-- Scalar/q-tendency terms with communication sbt = tsc(2) IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( s, 's' ) ENDIF ! !-- Scalar/q-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' ) THEN tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( s, 's' ) ELSE CALL advec_s_pw( s ) ENDIF ELSE CALL advec_s_up( s ) ENDIF ENDIF CALL diffusion_s( s, ssws, sswst, wall_sflux ) ! !-- Sink or source of humidity due to canopy elements IF ( plant_canopy ) CALL pcm_tendency( 7 ) ! !-- Large scale advection. Not implemented for scalars so far. ! IF ( large_scale_forcing ) THEN ! CALL ls_advec( simulated_time, 'q' ) ! ENDIF ! !-- Nudging. Not implemented for scalars so far. ! IF ( nudging ) CALL nudge( simulated_time, 'q' ) ! !-- If required compute influence of large-scale subsidence/ascent. !-- Not implemented for scalars so far. IF ( large_scale_subsidence .AND. & .NOT. use_subsidence_tendencies .AND. & .NOT. large_scale_forcing ) THEN CALL subsidence( tend, s, s_init, 3 ) ENDIF CALL user_actions( 's-tendency' ) ! !-- Prognostic equation for total water content DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt s_p(k,j,i) = s(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * ts_m(k,j,i) ) & - tsc(5) * rdf_sc(k) * & ( s(k,j,i) - s_init(k) ) IF ( s_p(k,j,i) < 0.0_wp ) s_p(k,j,i) = 0.1_wp * s(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt ts_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt ts_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * ts_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(66), 's-equation', 'stop' ) ENDIF ! !-- If required, compute prognostic equation for turbulent kinetic !-- energy (TKE) IF ( .NOT. constant_diffusion ) THEN CALL cpu_log( log_point(16), 'tke-equation', 'start' ) sbt = tsc(2) IF ( .NOT. use_upstream_for_tke ) THEN IF ( scalar_advec == 'bc-scheme' ) THEN IF ( timestep_scheme(1:5) /= 'runge' ) THEN ! !-- Bott-Chlond scheme always uses Euler time step. Thus: sbt = 1.0_wp ENDIF tend = 0.0_wp CALL advec_s_bc( e, 'e' ) ENDIF ENDIF ! !-- TKE-tendency terms with no communication IF ( scalar_advec /= 'bc-scheme' .OR. use_upstream_for_tke ) THEN IF ( use_upstream_for_tke ) THEN tend = 0.0_wp CALL advec_s_up( e ) ELSE tend = 0.0_wp IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( ws_scheme_sca ) THEN CALL advec_s_ws( e, 'e' ) ELSE CALL advec_s_pw( e ) ENDIF ELSE CALL advec_s_up( e ) ENDIF ENDIF ENDIF IF ( .NOT. humidity ) THEN IF ( ocean ) THEN CALL diffusion_e( prho, prho_reference ) ELSE CALL diffusion_e( pt, pt_reference ) ENDIF ELSE CALL diffusion_e( vpt, pt_reference ) ENDIF CALL production_e ! !-- Additional sink term for flows through plant canopies IF ( plant_canopy ) CALL pcm_tendency( 6 ) CALL user_actions( 'e-tendency' ) ! !-- Prognostic equation for TKE. !-- Eliminate negative TKE values, which can occur due to numerical !-- reasons in the course of the integration. In such cases the old TKE !-- value is reduced by 90%. DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt e_p(k,j,i) = e(k,j,i) + dt_3d * ( sbt * tend(k,j,i) + & tsc(3) * te_m(k,j,i) ) IF ( e_p(k,j,i) < 0.0_wp ) e_p(k,j,i) = 0.1_wp * e(k,j,i) ENDDO ENDDO ENDDO ! !-- Calculate tendencies for the next Runge-Kutta step IF ( timestep_scheme(1:5) == 'runge' ) THEN IF ( intermediate_timestep_count == 1 ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt te_m(k,j,i) = tend(k,j,i) ENDDO ENDDO ENDDO ELSEIF ( intermediate_timestep_count < & intermediate_timestep_count_max ) THEN DO i = nxl, nxr DO j = nys, nyn DO k = nzb_s_inner(j,i)+1, nzt te_m(k,j,i) = -9.5625_wp * tend(k,j,i) + 5.3125_wp * te_m(k,j,i) ENDDO ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(16), 'tke-equation', 'stop' ) ENDIF END SUBROUTINE prognostic_equations_vector END MODULE prognostic_equations_mod