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interpolag_Sdep.f90
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interpolag_Sdep.f90
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!!
!! Copyright (C) 2009-2017 Johns Hopkins University
!!
!! This file is part of lesgo.
!!
!! lesgo 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.
!!
!! lesgo 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 lesgo. If not, see <http://www.gnu.org/licenses/>.
!!
!*******************************************************************************
subroutine interpolag_Sdep()
!*******************************************************************************
! This subroutine takes the arrays F_{LM,MM,QN,NN} from the previous
! timestep and essentially moves the values around to follow the
! corresponding particles. The (x, y, z) value at the current
! timestep will be the (x-u*dt, y-v*dt, z-w*dt) value at the
! previous timestep. Since particle motion does not conform to
! the grid, an interpolation will be required. Variables should
! be on the w-grid.
! This subroutine assumes that dt and cs_count are chosen such that
! the Lagrangian CFL in the z-direction will never exceed 1. If the
! Lag. CFL in the x-direction is less than one this should generally
! be satisfied.
use types, only : rprec
use param
use sgs_param, only: F_LM, F_MM, F_QN, F_NN, lagran_dt
#ifdef PPDYN_TN
use sgs_param, only: F_ee2, F_deedt2, ee_past
#endif
use sim_param, only : u,v,w
use grid_m
use functions, only : trilinear_interp_w
#ifdef PPMPI
use mpi_defs, only : mpi_sync_real_array, MPI_SYNC_DOWNUP
#endif
use cfl_util, only : get_max_cfl
implicit none
real(rprec), dimension(3) :: xyz_past
real(rprec), dimension(ld,ny,lbz:nz) :: tempF_LM, tempF_MM, tempF_QN, tempF_NN
#ifdef PPDYN_TN
real(rprec), dimension(ld,ny,lbz:nz) :: tempF_ee2, tempF_deedt2, tempee_past
#endif
integer :: i, j, k, kmin
real(rprec) :: lcfl
real(rprec), pointer, dimension(:) :: x,y,z,zw
nullify(x,y,z,zw)
x => grid % x
y => grid % y
z => grid % z
zw => grid % zw
! Perform (backwards) Lagrangian interpolation
! F_* arrays should be synced at this point (for MPI)
! Create dummy arrays so information will not be overwritten during interpolation
tempF_LM = F_LM
tempF_MM = F_MM
tempF_QN = F_QN
tempF_NN = F_NN
#ifdef PPDYN_TN
tempF_ee2 = F_ee2
tempF_deedt2 = F_deedt2
tempee_past = ee_past
#endif
! Loop over domain (within proc): for each, calc xyz_past then trilinear_interp_w
! Variables x,y,z, F_LM, F_MM, F_QN, F_NN, etc are on w-grid
! Interpolation out of top/bottom of domain is not permitted.
! Note: x,y,z values are only good for k=1:nz-1 within each proc
if ( coord.eq.0 ) then
k = 1
! At the bottom-most level (at the wall) the velocities are zero.
! Since there is no movement the values of F_LM, F_MM, etc should
! not change and no interpolation is necessary.
! -- this is not true! Nu_T is on uvp-grid for jz = 1 --pj
if (lbc_mom == 0) then ! on w-grid
do j = 1, ny
do i = 1, nx
! stress-free so interp u,v by just grabbing neighbor
xyz_past(1) = x(i) - u(i,j,k)*lagran_dt
xyz_past(2) = y(j) - v(i,j,k)*lagran_dt
! use w-node for z-grid, w = 0 no penetration
xyz_past(3) = zw(k)
! Interpolate -- copied from below by pj
F_LM(i,j,k) = trilinear_interp_w(tempF_LM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_MM(i,j,k) = trilinear_interp_w(tempF_MM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_QN(i,j,k) = trilinear_interp_w(tempF_QN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_NN(i,j,k) = trilinear_interp_w(tempF_NN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#ifdef PPDYN_TN
F_ee2(i,j,k) = trilinear_interp_w(tempF_ee2(1:nx,1:ny,lbz:nz), &
lbz,xyz_past)
F_deedt2(i,j,k) = trilinear_interp_w( &
tempF_deedt2(1:nx,1:ny,lbz:nz), lbz,xyz_past)
ee_past(i,j,k) = trilinear_interp_w(tempee_past(1:nx,1:ny,lbz:nz), &
lbz,xyz_past)
#endif
end do
end do
else ! on uvp-grid
do j = 1, ny
do i = 1, nx
xyz_past(1) = x(i) - u(i,j,k)*lagran_dt ! no interpolation needed
xyz_past(2) = y(j) - v(i,j,k)*lagran_dt
! use uvp-node for z-grid, interpolate w
xyz_past(3) = z(k) - 0.25_rprec*w(i,j,k+1)*lagran_dt
! assume quadratic w near wall, hence 0.25 --pj
! Interpolate -- copied from below by pj
F_LM(i,j,k) = trilinear_interp_w(tempF_LM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_MM(i,j,k) = trilinear_interp_w(tempF_MM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_QN(i,j,k) = trilinear_interp_w(tempF_QN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_NN(i,j,k) = trilinear_interp_w(tempF_NN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#ifdef PPDYN_TN
F_ee2(i,j,k) = trilinear_interp_w(tempF_ee2(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_deedt2(i,j,k) = trilinear_interp_w( &
tempF_deedt2(1:nx,1:ny,lbz:nz), lbz, xyz_past)
ee_past(i,j,k)=trilinear_interp_w(tempee_past(1:nx,1:ny,lbz:nz),lbz,xyz_past)
#endif
end do
end do
end if
kmin = 2
else
kmin = 1
endif
! Intermediate levels
do k = kmin, nz-1
do j = 1, ny
do i = 1, nx
! Determine position at previous timestep (u,v interp to w-grid)
xyz_past(1) = x(i) - 0.5_rprec*(u(i,j,k-1)+u(i,j,k))*lagran_dt
xyz_past(2) = y(j) - 0.5_rprec*(v(i,j,k-1)+v(i,j,k))*lagran_dt
xyz_past(3) = zw(k) - w(i,j,k)*lagran_dt
! Interpolate
F_LM(i,j,k) = trilinear_interp_w(tempF_LM(1:nx,1:ny,lbz:nz), lbz, xyz_past)
F_MM(i,j,k) = trilinear_interp_w(tempF_MM(1:nx,1:ny,lbz:nz), lbz, xyz_past)
F_QN(i,j,k) = trilinear_interp_w(tempF_QN(1:nx,1:ny,lbz:nz), lbz, xyz_past)
F_NN(i,j,k) = trilinear_interp_w(tempF_NN(1:nx,1:ny,lbz:nz), lbz, xyz_past)
#ifdef PPDYN_TN
F_ee2(i,j,k) = trilinear_interp_w(tempF_ee2(1:nx,1:ny,lbz:nz),lbz,xyz_past)
F_deedt2(i,j,k) = trilinear_interp_w(tempF_deedt2(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
ee_past(i,j,k) = trilinear_interp_w(tempee_past(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#endif
enddo
enddo
enddo
#ifdef PPMPI
if (coord.eq.nproc-1) then
#endif
k = nz
if (ubc_mom == 0) then ! on w-grid
do j = 1, ny
do i = 1, nx
! stress-free so interp u,v by just grabbing neighbor
xyz_past(1) = x(i) - u(i,j,k-1)*lagran_dt
xyz_past(2) = y(j) - v(i,j,k-1)*lagran_dt
! use w-node for z-grid, w = 0 no penetration
xyz_past(3) = zw(k)
! Interpolate
F_LM(i,j,k) = trilinear_interp_w(tempF_LM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_MM(i,j,k) = trilinear_interp_w(tempF_MM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_QN(i,j,k) = trilinear_interp_w(tempF_QN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_NN(i,j,k) = trilinear_interp_w(tempF_NN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#ifdef PPDYN_TN
F_ee2(i,j,k) = trilinear_interp_w(tempF_ee2(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_deedt2(i,j,k) = trilinear_interp_w( &
tempF_deedt2(1:nx,1:ny,lbz:nz), lbz, xyz_past)
ee_past(i,j,k) = trilinear_interp_w(tempee_past(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#endif
enddo
enddo
else ! on uvp-grid
do j = 1, ny
do i = 1, nx
xyz_past(1) = x(i) - u(i,j,k-1)*lagran_dt ! no interpolation needed
xyz_past(2) = y(j) - v(i,j,k-1)*lagran_dt
! use uvp-node for z-grid, interpolate w
xyz_past(3) = z(k-1) - 0.25_rprec*w(i,j,k-1)*lagran_dt
! assume quadratic w near wall, hence 0.25 --pj
! Interpolate
F_LM(i,j,k) = trilinear_interp_w(tempF_LM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_MM(i,j,k) = trilinear_interp_w(tempF_MM(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_QN(i,j,k) = trilinear_interp_w(tempF_QN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_NN(i,j,k) = trilinear_interp_w(tempF_NN(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#ifdef PPDYN_TN
F_ee2(i,j,k)=trilinear_interp_w(tempF_ee2(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
F_deedt2(i,j,k)=trilinear_interp_w(tempF_deedt2(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
ee_past(i,j,k) = trilinear_interp_w(tempee_past(1:nx,1:ny,lbz:nz), &
lbz, xyz_past)
#endif
end do
end do
end if
#ifdef PPMPI
endif
#endif
! Share new data between overlapping nodes
#ifdef PPMPI
call mpi_sync_real_array( F_LM, 0, MPI_SYNC_DOWNUP )
call mpi_sync_real_array( F_MM, 0, MPI_SYNC_DOWNUP )
call mpi_sync_real_array( F_QN, 0, MPI_SYNC_DOWNUP )
call mpi_sync_real_array( F_NN, 0, MPI_SYNC_DOWNUP )
#ifdef PPDYN_TN
call mpi_sync_real_array( F_ee2, 0, MPI_SYNC_DOWNUP )
call mpi_sync_real_array( F_deedt2, 0, MPI_SYNC_DOWNUP )
call mpi_sync_real_array( ee_past, 0, MPI_SYNC_DOWNUP )
#endif
#endif
! Compute the Lagrangian CFL number and print to screen
! Note: this is only in the x-direction... not good for complex geometry cases
if (mod (jt_total, lag_cfl_count) .eq. 0) then
lcfl = get_max_cfl()
lcfl = lcfl*lagran_dt/dt
#ifdef PPMPI
if(coord .eq. 0) print*, 'Lagrangian CFL condition= ', lcfl
#else
print*, 'Lagrangian CFL condition= ', lcfl
#endif
endif
nullify(x,y,z,zw)
end subroutine interpolag_Sdep