!> @synthetic_turbulence_generator_mod.f90 !------------------------------------------------------------------------------! ! This file is part of PALM-4U. ! ! PALM-4U 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-4U 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 2017 Leibniz Universitaet Hannover !------------------------------------------------------------------------------! ! ! Current revisions: ! ----------------- ! ! ! Former revisions: ! ----------------- ! $Id: synthetic_turbulence_generator_mod.f90 2563 2017-10-19 15:36:10Z Giersch $ ! stg_read_restart_data is called in stg_parin in the case of a restart run ! ! 2259 2017-06-08 09:09:11Z gronemeier ! Initial revision ! ! ! ! Authors: ! -------- ! @author Tobias Gronemeier, Atsushi Inagaki, Micha Gryschka, Christoph Knigge ! ! ! Description: ! ------------ !> The module generates turbulence at the inflow boundary based on a method by !> Xie and Castro (2008) utilizing a Lund rotation (Lund, 1998) and a mass-flux !> correction by Kim et al. (2013). !> The turbulence is correlated based on length scales in y- and z-direction and !> a time scale for each velocity component. The profiles of length and time !> scales, mean u, v, w, e and pt, and all components of the Reynolds stress !> tensor are read from file STG_PROFILES. !> !> @todo test restart !> enable cyclic_fill !> implement turbulence generation for e and pt !> @note !> @bug Height information from input file is not used. Profiles from input !> must match with current PALM grid. !> Transformation of length scales to number of gridpoints does not !> consider grid stretching. !> In case of restart, velocity seeds differ from precursor run if a11, !> a22, or a33 are zero. !------------------------------------------------------------------------------! MODULE synthetic_turbulence_generator_mod USE arrays_3d, & ONLY: mean_inflow_profiles, u, v, w USE constants, & ONLY: pi USE control_parameters, & ONLY: initializing_actions, message_string, & synthetic_turbulence_generator USE cpulog, & ONLY: cpu_log, log_point, log_point_s USE indices, & ONLY: nbgp, nzb, nzt, nyng, nysg USE kinds USE MPI USE pegrid, & ONLY: comm1dx, comm1dy, comm2d, id_inflow, ierr, myidx, pdims USE transpose_indices, & ONLY: nzb_x, nzt_x IMPLICIT NONE LOGICAL :: velocity_seed_initialized = .FALSE. !< true after first call of stg_main LOGICAL :: use_synthetic_turbulence_generator = .FALSE. !< switch to use synthetic turbulence generator INTEGER(iwp) :: stg_type_yz !< MPI type for full z range INTEGER(iwp) :: stg_type_yz_small !< MPI type for small z range INTEGER(iwp) :: merg !< maximum length scale (in gp) INTEGER(iwp) :: mergp !< merg + nbgp REAL(wp) :: mc_factor !< mass flux correction factor INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: displs !< displacement for MPI_GATHERV INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: recv_count !< receive count for MPI_GATHERV INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuy !< length scale of u in y direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nuz !< length scale of u in z direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvy !< length scale of v in y direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nvz !< length scale of v in z direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwy !< length scale of w in y direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: nwz !< length scale of w in z direction (in gp) INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: seed !< seed of random number for rn-generator REAL(wp), DIMENSION(:), ALLOCATABLE :: a11 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: a21 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: a22 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: a31 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: a32 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: a33 !< coefficient for Lund rotation REAL(wp), DIMENSION(:), ALLOCATABLE :: tu !< Lagrangian time scale of u REAL(wp), DIMENSION(:), ALLOCATABLE :: tv !< Lagrangian time scale of v REAL(wp), DIMENSION(:), ALLOCATABLE :: tw !< Lagrangian time scale of w REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buy !< filter function for u in y direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: buz !< filter function for u in z direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvy !< filter function for v in y direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bvz !< filter function for v in z direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwy !< filter function for w in y direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: bwz !< filter function for w in z direction REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fu !< velocity seed for u REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fuo !< velocity seed for u with new random number REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fv !< velocity seed for v REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fvo !< velocity seed for v with new random number REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fw !< velocity seed for w REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fwo !< velocity seed for w with new random number ! !-- PALM interfaces: !-- Input parameter checks to be done in check_parameters INTERFACE stg_check_parameters MODULE PROCEDURE stg_check_parameters END INTERFACE stg_check_parameters ! !-- Calculate filter functions INTERFACE stg_filter_func MODULE PROCEDURE stg_filter_func END INTERFACE stg_filter_func ! !-- Generate velocity seeds INTERFACE stg_generate_seed_yz MODULE PROCEDURE stg_generate_seed_yz END INTERFACE stg_generate_seed_yz ! !-- Output of information to the header file INTERFACE stg_header MODULE PROCEDURE stg_header END INTERFACE stg_header ! !-- Initialization actions INTERFACE stg_init MODULE PROCEDURE stg_init END INTERFACE stg_init ! !-- Main procedure of synth. turb. gen. INTERFACE stg_main MODULE PROCEDURE stg_main END INTERFACE stg_main ! !-- Reading of NAMELIST parameters INTERFACE stg_parin MODULE PROCEDURE stg_parin END INTERFACE stg_parin ! !-- Reading of parameters for restart runs INTERFACE stg_read_restart_data MODULE PROCEDURE stg_read_restart_data END INTERFACE stg_read_restart_data ! !-- Writing of binary output for restart runs INTERFACE stg_write_restart_data MODULE PROCEDURE stg_write_restart_data END INTERFACE stg_write_restart_data SAVE PRIVATE ! !-- Public interfaces PUBLIC stg_check_parameters, stg_header, stg_init, stg_main, stg_parin, & stg_write_restart_data ! !-- Public variables PUBLIC use_synthetic_turbulence_generator CONTAINS !------------------------------------------------------------------------------! ! Description: ! ------------ !> Check parameters routine for synthetic turbulence generator !------------------------------------------------------------------------------! SUBROUTINE stg_check_parameters USE control_parameters, & ONLY: bc_lr, bc_ns, turbulent_inflow IMPLICIT NONE IF ( use_synthetic_turbulence_generator ) THEN IF ( INDEX( initializing_actions, 'set_constant_profiles' ) == 0 .AND. & INDEX( initializing_actions, 'read_restart_data' ) == 0 ) THEN message_string = 'Using synthetic turbulence generator ' // & 'requires &initializing_actions = ' // & '"set_constant_profiles" or "read_restart_data"' CALL message( 'stg_check_parameters', 'PA0015', 1, 2, 0, 6, 0 ) ENDIF IF ( bc_lr /= 'dirichlet/radiation' ) THEN message_string = 'Using synthetic turbulence generator ' // & 'requires &bc_lr = "dirichlet/radiation"' CALL message( 'stg_check_parameters', 'PA0035', 1, 2, 0, 6, 0 ) ENDIF IF ( bc_ns /= 'cyclic' ) THEN message_string = 'Using synthetic turbulence generator ' // & 'requires &bc_ns = "cyclic"' CALL message( 'stg_check_parameters', 'PA0037', 1, 2, 0, 6, 0 ) ENDIF IF ( turbulent_inflow ) THEN message_string = 'Using synthetic turbulence generator ' // & 'in combination &with turbulent_inflow = .T. ' // & 'is not allowed' CALL message( 'stg_check_parameters', 'PA0039', 1, 2, 0, 6, 0 ) ENDIF ENDIF END SUBROUTINE stg_check_parameters !------------------------------------------------------------------------------! ! Description: ! ------------ !> Header output for synthetic turbulence generator !------------------------------------------------------------------------------! SUBROUTINE stg_header ( io ) IMPLICIT NONE INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file ! !-- Write synthetic turbulence generator Header WRITE( io, 1 ) IF ( use_synthetic_turbulence_generator ) THEN WRITE( io, 2 ) ELSE WRITE( io, 3 ) ENDIF 1 FORMAT (//' Synthetic turbulence generator information:'/ & ' ------------------------------------------'/) 2 FORMAT (' synthetic turbulence generator switched on') 3 FORMAT (' synthetic turbulence generator switched off') END SUBROUTINE stg_header !------------------------------------------------------------------------------! ! Description: ! ------------ !> Initialization of the synthetic turbulence generator !------------------------------------------------------------------------------! SUBROUTINE stg_init USE arrays_3d, & ONLY: u_init, v_init USE control_parameters, & ONLY: coupling_char, dz, e_init USE grid_variables, & ONLY: ddy IMPLICIT NONE INTEGER(KIND=MPI_ADDRESS_KIND) :: extent !< extent of new MPI type INTEGER(KIND=MPI_ADDRESS_KIND) :: tob=0 !< dummy variable INTEGER(iwp) :: j !> loop index INTEGER(iwp) :: k !< index INTEGER(iwp) :: newtype !< dummy MPI type INTEGER(iwp) :: realsize !< size of REAL variables INTEGER(iwp) :: nseed !< dimension of random number seed INTEGER(iwp) :: startseed = 1234567890 !< start seed for random number generator ! !-- Dummy variables used for reading profiles REAL(wp) :: d1 !< u profile REAL(wp) :: d2 !< v profile REAL(wp) :: d3 !< w profile REAL(wp) :: d5 !< e profile REAL(wp) :: d11 !< vertical interpolation for a11 REAL(wp) :: d21 !< vertical interpolation for a21 REAL(wp) :: d22 !< vertical interpolation for a22 REAL(wp) :: luy !< length scale for u in y direction REAL(wp) :: luz !< length scale for u in z direction REAL(wp) :: lvy !< length scale for v in y direction REAL(wp) :: lvz !< length scale for v in z direction REAL(wp) :: lwy !< length scale for w in y direction REAL(wp) :: lwz !< length scale for w in z direction REAL(wp) :: zz !< height REAL(wp),DIMENSION(nzb:nzt+1) :: r11 !< Reynolds parameter REAL(wp),DIMENSION(nzb:nzt+1) :: r21 !< Reynolds parameter REAL(wp),DIMENSION(nzb:nzt+1) :: r22 !< Reynolds parameter REAL(wp),DIMENSION(nzb:nzt+1) :: r31 !< Reynolds parameter REAL(wp),DIMENSION(nzb:nzt+1) :: r32 !< Reynolds parameter REAL(wp),DIMENSION(nzb:nzt+1) :: r33 !< Reynolds parameter #if defined( __parallel ) CALL MPI_BARRIER( comm2d, ierr ) #endif CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' ) IF ( .NOT. ALLOCATED( mean_inflow_profiles ) ) & ALLOCATE( mean_inflow_profiles(nzb:nzt+1,5) ) ALLOCATE ( a11(nzb:nzt+1), a21(nzb:nzt+1), a22(nzb:nzt+1), & a31(nzb:nzt+1), a32(nzb:nzt+1), a33(nzb:nzt+1), & nuy(nzb:nzt+1), nuz(nzb:nzt+1), nvy(nzb:nzt+1), & nvz(nzb:nzt+1), nwy(nzb:nzt+1), nwz(nzb:nzt+1), & tu(nzb:nzt+1), tv(nzb:nzt+1), tw(nzb:nzt+1) ) ! !-- Define MPI type used in stg_generate_seed_yz to gather vertical splitted !-- velocity seeds CALL MPI_TYPE_SIZE( MPI_REAL, realsize, ierr ) extent = 1 * realsize ! stg_type_yz: yz-slice with vertical bounds nzb:nzt+1 CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt-nzb+2,nyng-nysg+1], & [1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz, ierr ) CALL MPI_TYPE_COMMIT( stg_type_yz, ierr ) CALL MPI_TYPE_FREE( newtype, ierr ) ! stg_type_yz_small: yz-slice with vertical bounds nzb_x:nzt_x+1 CALL MPI_TYPE_CREATE_SUBARRAY( 2, [nzt_x-nzb_x+2,nyng-nysg+1], & [1,nyng-nysg+1], [0,0], MPI_ORDER_FORTRAN, MPI_REAL, newtype, ierr ) CALL MPI_TYPE_CREATE_RESIZED( newtype, tob, extent, stg_type_yz_small, ierr ) CALL MPI_TYPE_COMMIT( stg_type_yz_small, ierr ) CALL MPI_TYPE_FREE( newtype, ierr ) ! receive count and displacement for MPI_GATHERV in stg_generate_seed_yz ALLOCATE( recv_count(pdims(1)), displs(pdims(1)) ) recv_count = nzt_x-nzb_x + 1 recv_count(pdims(1)) = recv_count(pdims(1)) + 1 DO j = 1, pdims(1) displs(j) = 0 + (nzt_x-nzb_x+1) * (j-1) ENDDO ! !-- Define seed of random number CALL RANDOM_SEED() CALL RANDOM_SEED( size=nseed ) ALLOCATE( seed(1:nseed) ) DO j = 1, nseed seed(j) = startseed + j ENDDO CALL RANDOM_SEED(put=seed) ! !-- Read inflow profile !-- Height levels of profiles in input profile is as follows: !-- zu: luy, luz, tu, lvy, lvz, tv, r11, r21, r22, d1, d2, d5 !-- zw: lwy, lwz, tw, r31, r32, r33, d3 !-- WARNING: zz is not used at the moment OPEN( 24, FILE='STG_PROFILES'//TRIM( coupling_char ), STATUS='OLD', & FORM='FORMATTED') ! Skip header READ( 24, * ) DO k = nzb, nzt+1 READ( 24, * ) zz, luy, luz, tu(k), lvy, lvz, tv(k), lwy, lwz, tw(k), & r11(k), r21(k), r22(k), r31(k), r32(k), r33(k), & d1, d2, d3, d5 ! !-- Convert length scales from meter to number of grid points nuy(k) = INT( luy * ddy ) nuz(k) = INT( luz / dz ) nvy(k) = INT( lvy * ddy ) nvz(k) = INT( lvz / dz ) nwy(k) = INT( lwy * ddy ) nwz(k) = INT( lwz / dz ) ! !-- Save Mean inflow profiles IF ( TRIM( initializing_actions ) /= 'read_restart_data' ) THEN mean_inflow_profiles(k,1) = d1 mean_inflow_profiles(k,2) = d2 ! mean_inflow_profiles(k,4) = d4 mean_inflow_profiles(k,5) = d5 ENDIF ENDDO CLOSE(24) ! !-- Assign initial profiles u_init = mean_inflow_profiles(:,1) v_init = mean_inflow_profiles(:,2) ! pt_init = mean_inflow_profiles(:,4) e_init = MAXVAL( mean_inflow_profiles(:,5) ) ! !-- Calculate coefficient matrix from Reynolds stress tensor (Lund rotation) DO k = nzb, nzt+1 IF ( r11(k) > 0.0_wp ) THEN a11(k) = SQRT( r11(k) ) a21(k) = r21(k) / a11(k) ELSE a11(k) = 0.0_wp a21(k) = 0.0_wp ENDIF a22(k) = r22(k) - a21(k)**2 IF ( a22(k) > 0.0_wp ) THEN a22(k) = SQRT( a22(k) ) a32(k) = ( r32(k) - a21(k) * a31(k) ) / a22(k) ELSE a22(k) = 0.0_wp a32(k) = 0.0_wp ENDIF ! !-- a31, a32, a33 must be calculated with interpolated a11, a21, a22 (d11, !-- d21, d22) because of different vertical grid IF ( k .le. nzt ) THEN d11 = 0.5_wp * ( r11(k) + r11(k+1) ) IF ( d11 > 0.0_wp ) THEN d11 = SQRT( d11 ) d21 = ( 0.5_wp * ( r21(k) + r21(k+1) ) ) / d11 a31(k) = r31(k) / d11 ELSE d21 = 0.0_wp a31(k) = 0.0_wp ENDIF d22 = 0.5_wp * ( r22(k) + r22(k+1) ) - d21 ** 2 IF ( d22 > 0.0_wp ) THEN a32(k) = ( r32(k) - d21 * a31(k) ) / SQRT( d22 ) ELSE a32(k) = 0.0_wp ENDIF a33(k) = r33(k) - a31(k) ** 2 - a32(k) ** 2 IF ( a33(k) > 0.0_wp ) THEN a33(k) = SQRT( a33(k) ) ELSE a33(k) = 0.0_wp ENDIF ELSE a31(k) = a31(k-1) a32(k) = a32(k-1) a33(k) = a33(k-1) ENDIF ENDDO ! !-- Define the size of the filter functions and allocate them. merg = 0 ! arrays must be large enough to cover the largest length scale DO k = nzb, nzt+1 j = MAX( ABS(nuy(k)), ABS(nuz(k)), & ABS(nvy(k)), ABS(nvz(k)), & ABS(nwy(k)), ABS(nwz(k)) ) IF ( j > merg ) merg = j ENDDO merg = 2 * merg mergp = merg + nbgp ALLOCATE ( buy(-merg:merg,nzb:nzt+1), buz(-merg:merg,nzb:nzt+1), & bvy(-merg:merg,nzb:nzt+1), bvz(-merg:merg,nzb:nzt+1), & bwy(-merg:merg,nzb:nzt+1), bwz(-merg:merg,nzb:nzt+1) ) ! !-- Allocate velocity seeds ALLOCATE ( fu( nzb:nzt+1,nysg:nyng), fuo(nzb:nzt+1,nysg:nyng), & fv( nzb:nzt+1,nysg:nyng), fvo(nzb:nzt+1,nysg:nyng), & fw( nzb:nzt+1,nysg:nyng), fwo(nzb:nzt+1,nysg:nyng) ) fu = 0._wp fuo = 0._wp fv = 0._wp fvo = 0._wp fw = 0._wp fwo = 0._wp ! !-- Create filter functions CALL stg_filter_func( nuy, buy ) !filter uy CALL stg_filter_func( nuz, buz ) !filter uz CALL stg_filter_func( nvy, bvy ) !filter vy CALL stg_filter_func( nvz, bvz ) !filter vz CALL stg_filter_func( nwy, bwy ) !filter wy CALL stg_filter_func( nwz, bwz ) !filter wz #if defined( __parallel ) CALL MPI_BARRIER( comm2d, ierr ) #endif ! !-- In case of restart, calculate velocity seeds fu, fv, fw from former ! time step. ! Bug: fu, fv, fw are different in those heights where a11, a22, a33 ! are 0 compared to the prerun. This is mostly for k=nzt+1. IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN IF ( myidx == id_inflow ) THEN DO j = nysg, nyng DO k = nzb, nzt+1 IF ( a11(k) .NE. 0._wp ) THEN fu(k,j) = ( u(k,j,-1) / mc_factor - & mean_inflow_profiles(k,1) ) / a11(k) ELSE fu(k,j) = 0._wp ENDIF IF ( a22(k) .NE. 0._wp ) THEN fv(k,j) = ( v(k,j,-1) / mc_factor - a21(k) * fu(k,j) - & mean_inflow_profiles(k,2) ) / a22(k) ELSE fv(k,j) = 0._wp ENDIF IF ( a33(k) .NE. 0._wp ) THEN fw(k,j) = ( w(k,j,-1) / mc_factor - a31(k) * fu(k,j) - & a32(k) * fv(k,j) ) / a33(k) ELSE fw = 0._wp ENDIF ENDDO ENDDO ENDIF ENDIF CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' ) END SUBROUTINE stg_init !------------------------------------------------------------------------------! ! Description: ! ------------ !> Calculate filter function bxx from length scale nxx following Eg.9 and 10 !> (Xie and Castro, 2008) !------------------------------------------------------------------------------! SUBROUTINE stg_filter_func( nxx, bxx ) IMPLICIT NONE INTEGER(iwp) :: k !< loop index INTEGER(iwp) :: n_k !< length scale nXX in height k INTEGER(iwp) :: n_k2 !< n_k * 2 INTEGER(iwp) :: nf !< index for length scales REAL(wp) :: bdenom !< denominator for filter functions bXX REAL(wp) :: qsi = 1.0_wp !< minimization factor INTEGER(iwp), DIMENSION(:) :: nxx(nzb:nzt+1) !< length scale (in gp) REAL(wp), DIMENSION(:,:) :: bxx(-merg:merg,nzb:nzt+1) !< filter function bxx = 0.0_wp DO k = nzb, nzt+1 bdenom = 0.0_wp n_k = nxx(k) IF ( n_k /= 0 ) THEN n_k2 = n_k * 2 ! !-- ( Eq.10 )^2 DO nf = -n_k2, n_k2 bdenom = bdenom + EXP( -qsi * pi * ABS(nf) / n_k )**2 ENDDO ! !-- ( Eq.9 ) bdenom = SQRT( bdenom ) DO nf = -n_k2, n_k2 bxx(nf,k) = EXP( -qsi * pi * ABS(nf) / n_k ) / bdenom ENDDO ENDIF ENDDO END SUBROUTINE stg_filter_func !------------------------------------------------------------------------------! ! Description: ! ------------ !> Parin for &stg_par for synthetic turbulence generator !------------------------------------------------------------------------------! SUBROUTINE stg_parin IMPLICIT NONE CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file NAMELIST /stg_par/ use_synthetic_turbulence_generator line = ' ' ! !-- Try to find stg package REWIND ( 11 ) line = ' ' DO WHILE ( INDEX( line, '&stg_par' ) == 0 ) READ ( 11, '(A)', END=10 ) line ENDDO BACKSPACE ( 11 ) ! !-- Read namelist READ ( 11, stg_par ) ! !-- Set flag that indicates that the synthetic turbulence generator is switched !-- on synthetic_turbulence_generator = .TRUE. IF ( TRIM( initializing_actions ) == 'read_restart_data' ) THEN CALL stg_read_restart_data ENDIF 10 CONTINUE END SUBROUTINE stg_parin !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine reads the respective restart data. !------------------------------------------------------------------------------! SUBROUTINE stg_read_restart_data IMPLICIT NONE CHARACTER (LEN=30) :: variable_chr !< dummy variable to read string READ ( 13 ) variable_chr DO WHILE ( TRIM( variable_chr ) /= '*** end stg module ***' ) SELECT CASE ( TRIM( variable_chr ) ) CASE ( 'use_synthetic_turbulence_generator ' ) READ ( 13 ) use_synthetic_turbulence_generator CASE ( 'mc_factor' ) READ ( 13 ) mc_factor END SELECT READ ( 13 ) variable_chr ENDDO END SUBROUTINE stg_read_restart_data !------------------------------------------------------------------------------! ! Description: ! ------------ !> This routine writes the respective restart data. !------------------------------------------------------------------------------! SUBROUTINE stg_write_restart_data IMPLICIT NONE WRITE ( 14 ) 'use_synthetic_turbulence_generator ' WRITE ( 14 ) use_synthetic_turbulence_generator WRITE ( 14 ) 'mc_factor ' WRITE ( 14 ) mc_factor WRITE ( 14 ) '*** end stg module *** ' END SUBROUTINE stg_write_restart_data !------------------------------------------------------------------------------! ! Description: ! ------------ !> Create turbulent inflow fields for u, v, w with prescribed length scales and !> Reynolds stress tensor after a method of Xie and Castro (2008), modified !> following suggestions of Kim et al. (2013), and using a Lund rotation !> (Lund, 1998). !------------------------------------------------------------------------------! SUBROUTINE stg_main USE arrays_3d, & ONLY: dzw USE control_parameters, & ONLY: dt_3d, intermediate_timestep_count, simulated_time, & volume_flow_initial USE indices, & ONLY: nyn, nys USE statistics, & ONLY: weight_substep IMPLICIT NONE INTEGER(iwp) :: j !< loop index in y-direction INTEGER(iwp) :: k !< loop index in z-direction REAL(wp) :: dt_stg !< wheighted subtimestep REAL(wp) :: mc_factor_l !< local mass flux correction factor REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,5,nbgp) :: inflow_dist !< disturbance for inflow profiles CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'start' ) ! !-- Calculate time step which is needed for filter functions dt_stg = dt_3d * weight_substep(intermediate_timestep_count) ! !-- Initial value of fu, fv, fw IF ( simulated_time == 0.0_wp .AND. .NOT. velocity_seed_initialized ) THEN CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fu ) CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fv ) CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fw ) velocity_seed_initialized = .TRUE. ENDIF ! !-- New set of fu, fv, fw CALL stg_generate_seed_yz( nuy, nuz, buy, buz, fuo ) CALL stg_generate_seed_yz( nvy, nvz, bvy, bvz, fvo ) CALL stg_generate_seed_yz( nwy, nwz, bwy, bwz, fwo ) IF ( myidx == id_inflow ) THEN DO j = nysg, nyng DO k = nzb, nzt + 1 ! !-- Update fu, fv, fw following Eq. 14 of Xie and Castro (2008) IF ( tu(k) == 0.0_wp ) THEN fu(k,j) = fuo(k,j) ELSE fu(k,j) = fu(k,j) * EXP( -pi * dt_stg * 0.5_wp / tu(k) ) + & fuo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tu(k) ) ) ENDIF IF ( tv(k) == 0.0_wp ) THEN fv(k,j) = fvo(k,j) ELSE fv(k,j) = fv(k,j) * EXP( -pi * dt_stg * 0.5_wp / tv(k) ) + & fvo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tv(k) ) ) ENDIF IF ( tw(k) == 0.0_wp ) THEN fw(k,j) = fwo(k,j) ELSE fw(k,j) = fw(k,j) * EXP( -pi * dt_stg * 0.5_wp / tw(k) ) + & fwo(k,j) * SQRT( 1.0_wp - EXP( -pi * dt_stg / tw(k) ) ) ENDIF ! !-- Lund rotation following Eq. 17 in Xie and Castro (2008). !-- Additional factors are added to improve the variance of v and w IF( k == 0 ) THEN inflow_dist(k,j,1,1) = 0.0_wp inflow_dist(k,j,2,1) = 0.0_wp inflow_dist(k,j,3,1) = 0.0_wp inflow_dist(k,j,4,1) = 0.0_wp inflow_dist(k,j,5,1) = 0.0_wp ELSE inflow_dist(k,j,1,1) = a11(k) * fu(k,j) !experimental test of 1.2 inflow_dist(k,j,2,1) = ( SQRT( a22(k) / MAXVAL(a22) ) & * 1.2_wp ) & * ( a21(k) * fu(k,j) & + a22(k) * fv(k,j) ) inflow_dist(k,j,3,1) = ( SQRT(a33(k) / MAXVAL(a33) ) & * 1.3_wp ) & * ( a31(k) * fu(k,j) & + a32(k) * fv(k,j) & + a33(k) * fw(k,j) ) ! Calculation for pt and e not yet implemented inflow_dist(k,j,4,1) = 0.0_wp inflow_dist(k,j,5,1) = 0.0_wp ENDIF ENDDO ENDDO ! !-- Mass flux correction following Kim et al. (2013) !-- This correction factor insures that the mass flux is preserved at the !-- inflow boundary mc_factor_l = 0.0_wp mc_factor = 0.0_wp DO j = nys, nyn DO k = nzb+1, nzt mc_factor_l = mc_factor_l + dzw(k) * & ( mean_inflow_profiles(k,1) + inflow_dist(k,j,1,1) ) ENDDO ENDDO #if defined( __parallel ) CALL MPI_ALLREDUCE( mc_factor_l, mc_factor, & 1, MPI_REAL, MPI_SUM, comm1dy, ierr ) #else mc_factor = mc_factor_l #endif mc_factor = volume_flow_initial(1) / mc_factor ! !-- Add disturbance at the inflow DO j = nysg, nyng DO k = nzb, nzt+1 u(k,j,-nbgp+1:0) = ( mean_inflow_profiles(k,1) + & inflow_dist(k,j,1,1) ) * mc_factor v(k,j,-nbgp:-1) = ( mean_inflow_profiles(k,2) + & inflow_dist(k,j,2,1) ) * mc_factor w(k,j,-nbgp:-1) = inflow_dist(k,j,3,1) * mc_factor ENDDO ENDDO ENDIF CALL cpu_log( log_point(57), 'synthetic_turbulence_gen', 'stop' ) END SUBROUTINE stg_main !------------------------------------------------------------------------------! ! Description: ! ------------ !> Generate a set of random number rand_it wich is equal on each PE !> and calculate the velocity seed f_n. !> f_n is splitted in vertical direction by the number of PEs in x-direction and !> and each PE calculates a vertical subsection of f_n. At the the end, all !> parts are collected to form the full array. !------------------------------------------------------------------------------! SUBROUTINE stg_generate_seed_yz( n_y, n_z, b_y, b_z, f_n ) USE indices, & ONLY: ny IMPLICIT NONE INTEGER(iwp) :: j !< loop index in y-direction INTEGER(iwp) :: jj !< loop index in y-direction INTEGER(iwp) :: k !< loop index in z-direction INTEGER(iwp) :: kk !< loop index in z-direction INTEGER(iwp) :: send_count !< send count for MPI_GATHERV INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y !< length scale in y-direction INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z !< length scale in z-direction INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_y2 !< n_y*2 INTEGER(iwp), DIMENSION(nzb:nzt+1) :: n_z2 !< n_z*2 REAL(wp) :: nyz_inv !< inverse of number of grid points in yz-slice REAL(wp) :: rand_av !< average of random number REAL(wp) :: rand_sigma_inv !< inverse of stdev of random number REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_y !< filter func in y-dir REAL(wp), DIMENSION(-merg:merg,nzb:nzt+1) :: b_z !< filter func in z-dir REAL(wp), DIMENSION(nzb_x:nzt_x+1,nysg:nyng) :: f_n_l !< local velocity seed REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng) :: f_n !< velocity seed REAL(wp), DIMENSION(:,:), ALLOCATABLE :: rand_it !< random number ! !-- Generate random numbers using a seed generated in stg_init. !-- The set of random numbers are modified to have an average of 0 and !-- unit variance. ALLOCATE( rand_it(nzb-mergp:nzt+1+mergp,-mergp:ny+mergp) ) rand_av = 0.0_wp rand_sigma_inv = 0.0_wp nyz_inv = 1.0_wp / REAL( ( nzt+1 - nzb+1 ) * ( ny+1 ), KIND=wp ) DO j = 0, ny DO k = nzb, nzt+1 CALL RANDOM_NUMBER( rand_it(k,j) ) rand_av = rand_av + rand_it(k,j) ENDDO ENDDO rand_av = rand_av * nyz_inv DO j = 0, ny DO k = nzb, nzt+1 rand_it(k,j) = rand_it(k,j) - rand_av rand_sigma_inv = rand_sigma_inv + rand_it(k,j) ** 2 ENDDO ENDDO rand_sigma_inv = 1.0_wp / SQRT(rand_sigma_inv * nyz_inv) DO j = 0, ny DO k = nzb, nzt+1 rand_it(k,j) = rand_it(k,j) * rand_sigma_inv ENDDO ENDDO ! !-- Periodic fill of random number in space DO j = 0, ny DO k = 1, mergp rand_it(nzb -k,j) = rand_it(nzt+2-k,j) ! bottom margin rand_it(nzt+1+k,j) = rand_it(nzb+k-1,j) ! top margin ENDDO ENDDO DO j = 1, mergp DO k = nzb-mergp, nzt+1+mergp rand_it(k, -j) = rand_it(k,ny-j+1) ! south margin rand_it(k,ny+j) = rand_it(k, j-1) ! north margin ENDDO ENDDO ! !-- Generate velocity seed following Eq.6 of Xie and Castro (2008) n_y2 = n_y * 2 n_z2 = n_z * 2 f_n_l = 0.0_wp DO j = nysg, nyng DO k = nzb_x, nzt_x+1 DO jj = -n_y2(k), n_y2(k) DO kk = -n_z2(k), n_z2(k) f_n_l(k,j) = f_n_l(k,j) & + b_y(jj,k) * b_z(kk,k) * rand_it(k+kk,j+jj) ENDDO ENDDO ENDDO ENDDO DEALLOCATE( rand_it ) ! !-- Gather velocity seeds of full subdomain send_count = nzt_x - nzb_x + 1 IF ( nzt_x == nzt ) send_count = send_count + 1 #if defined( __parallel ) CALL MPI_GATHERV( f_n_l(nzb_x,nysg), send_count, stg_type_yz_small, & f_n(nzb+1,nysg), recv_count, displs, stg_type_yz, & id_inflow, comm1dx, ierr ) #else f_n(nzb+1:nzt+1,nysg:nyng) = f_n_l(nzb_x:nzt_x+1,nysg:nyng) #endif END SUBROUTINE stg_generate_seed_yz END MODULE synthetic_turbulence_generator_mod