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tools.f90
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!################################################################################
!This file is part of Incompact3d.
!
!Incompact3d
!Copyright (c) 2012 Eric Lamballais and Sylvain Laizet
!
! Incompact3d 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.
!
! Incompact3d 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 the code. If not, see <http://www.gnu.org/licenses/>.
!-------------------------------------------------------------------------------
!-------------------------------------------------------------------------------
! We kindly request that you cite Incompact3d in your publications and
! presentations. The following citations are suggested:
!
! 1-Laizet S. & Lamballais E., 2009, High-order compact schemes for
! incompressible flows: a simple and efficient method with the quasi-spectral
! accuracy, J. Comp. Phys., vol 228 (15), pp 5989-6015
!
! 2-Laizet S. & Li N., 2011, Incompact3d: a powerful tool to tackle turbulence
! problems with up to 0(10^5) computational cores, Int. J. of Numerical
! Methods in Fluids, vol 67 (11), pp 1735-1757
!################################################################################
!*******************************************************************
!
subroutine test_scalar_min_max(phi)
!
!*******************************************************************
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
integer :: i,j,k
real(mytype) :: phimax,phimin,cfl
real(mytype) :: phimax1,phimin1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: phi
integer :: code
phimax=-1609.
phimin=1609.
do k=1,xsize(3)
do j=1,xsize(2)
do i=1,xsize(1)
if (phi(i,j,k).gt.phimax) phimax=phi(i,j,k)
if (phi(i,j,k).lt.phimin) phimin=phi(i,j,k)
enddo
enddo
enddo
call MPI_REDUCE(phimax,phimax1,1,real_type,MPI_MAX,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(phimin,phimin1,1,real_type,MPI_MIN,0,MPI_COMM_WORLD,code)
if (nrank==0) then
print *,'PHI max=',phimax1
print *,'PHI min=',phimin1
endif
return
end subroutine test_scalar_min_max
!*******************************************************************
!
subroutine test_speed_min_max(ux,uy,uz)
!
!*******************************************************************
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
integer :: i,j,k
real(mytype) :: uxmax,uymax,uzmax,uxmin,uymin,uzmin,cfl
real(mytype) :: uxmax1,uymax1,uzmax1,uxmin1,uymin1,uzmin1
real(mytype),dimension(xsize(1),xsize(2),xsize(3)) :: ux,uy,uz
integer :: code
uxmax=-1609.
uymax=-1609.
uzmax=-1609.
uxmin=1609.
uymin=1609.
uzmin=1609.
do k=1,xsize(3)
do j=1,xsize(2)
do i=1,xsize(1)
if (ux(i,j,k).gt.uxmax) uxmax=ux(i,j,k)
if (uy(i,j,k).gt.uymax) uymax=uy(i,j,k)
if (uz(i,j,k).gt.uzmax) uzmax=uz(i,j,k)
if (ux(i,j,k).lt.uxmin) uxmin=ux(i,j,k)
if (uy(i,j,k).lt.uymin) uymin=uy(i,j,k)
if (uz(i,j,k).lt.uzmin) uzmin=uz(i,j,k)
enddo
enddo
enddo
call MPI_REDUCE(uxmax,uxmax1,1,real_type,MPI_MAX,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(uymax,uymax1,1,real_type,MPI_MAX,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(uzmax,uzmax1,1,real_type,MPI_MAX,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(uxmin,uxmin1,1,real_type,MPI_MIN,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(uymin,uymin1,1,real_type,MPI_MIN,0,MPI_COMM_WORLD,code)
call MPI_REDUCE(uzmin,uzmin1,1,real_type,MPI_MIN,0,MPI_COMM_WORLD,code)
if (nrank==0) then
print *,'U,V,W max=',uxmax1,uymax1,uzmax1
print *,'U,V,W min=',uxmin1,uymin1,uzmin1
endif
call cfl_compute(uxmax,uymax,uzmax)
return
end subroutine test_speed_min_max
!*******************************************************************
!
subroutine restart(ux1,uy1,uz1,ep1,pp3,phi1,gx1,gy1,gz1,px1,py1,pz1,phis1,&
hx1,hy1,hz1,phiss1,phG,irestart)
!
!*******************************************************************
USE decomp_2d
USE decomp_2d_io
USE param
USE MPI
implicit none
TYPE(DECOMP_INFO) :: phG
integer :: i,j,k,irestart,nzmsize,fh,ierror,code
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: ux1,uy1,uz1,ep1
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: gx1,gy1,gz1
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: hx1,hy1,hz1
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: px1,py1,pz1
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: phi1, phis1, phiss1
real(mytype), dimension(phG%zst(1):phG%zen(1),phG%zst(2):phG%zen(2),phG%zst(3):phG%zen(3)) :: pp3
integer (kind=MPI_OFFSET_KIND) :: filesize, disp
real(mytype) :: xdt
integer, dimension(2) :: dims, dummy_coords
logical, dimension(2) :: dummy_periods
if (iscalar==0) then
if (nscheme.ne.4) then
if (irestart==1) then !write
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_CREATE+MPI_MODE_WRONLY, MPI_INFO_NULL, &
fh, ierror)
filesize = 0_MPI_OFFSET_KIND
call MPI_FILE_SET_SIZE(fh,filesize,ierror) ! guarantee overwriting
disp = 0_MPI_OFFSET_KIND
call decomp_2d_write_var(fh,disp,1,ux1)
call decomp_2d_write_var(fh,disp,1,uy1)
call decomp_2d_write_var(fh,disp,1,uz1)
call decomp_2d_write_var(fh,disp,1,gx1)
call decomp_2d_write_var(fh,disp,1,gy1)
call decomp_2d_write_var(fh,disp,1,gz1)
call decomp_2d_write_var(fh,disp,1,px1)
call decomp_2d_write_var(fh,disp,1,py1)
call decomp_2d_write_var(fh,disp,1,pz1)
call decomp_2d_write_var(fh,disp,1,pp3,phG)
call MPI_FILE_CLOSE(fh,ierror)
else
if (nrank==0) print *,'RESTART'
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_var(fh,disp,1,ux1)
call decomp_2d_read_var(fh,disp,1,uy1)
call decomp_2d_read_var(fh,disp,1,uz1)
call decomp_2d_read_var(fh,disp,1,gx1)
call decomp_2d_read_var(fh,disp,1,gy1)
call decomp_2d_read_var(fh,disp,1,gz1)
call decomp_2d_read_var(fh,disp,1,px1)
call decomp_2d_read_var(fh,disp,1,py1)
call decomp_2d_read_var(fh,disp,1,pz1)
call decomp_2d_read_var(fh,disp,1,pp3,phG)
call MPI_FILE_CLOSE(fh,ierror)
endif
else !AB3
if (irestart==1) then !write
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_CREATE+MPI_MODE_WRONLY, MPI_INFO_NULL, &
fh, ierror)
filesize = 0_MPI_OFFSET_KIND
call MPI_FILE_SET_SIZE(fh,filesize,ierror) ! guarantee overwriting
disp = 0_MPI_OFFSET_KIND
call decomp_2d_write_var(fh,disp,1,ux1)
call decomp_2d_write_var(fh,disp,1,uy1)
call decomp_2d_write_var(fh,disp,1,uz1)
call decomp_2d_write_var(fh,disp,1,gx1)
call decomp_2d_write_var(fh,disp,1,gy1)
call decomp_2d_write_var(fh,disp,1,gz1)
call decomp_2d_write_var(fh,disp,1,hx1)
call decomp_2d_write_var(fh,disp,1,hy1)
call decomp_2d_write_var(fh,disp,1,hz1)
call decomp_2d_write_var(fh,disp,1,px1)
call decomp_2d_write_var(fh,disp,1,py1)
call decomp_2d_write_var(fh,disp,1,pz1)
call decomp_2d_write_var(fh,disp,1,pp3,phG)
call MPI_FILE_CLOSE(fh,ierror)
else
if (nrank==0) print *,'RESTART'
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_var(fh,disp,1,ux1)
call decomp_2d_read_var(fh,disp,1,uy1)
call decomp_2d_read_var(fh,disp,1,uz1)
call decomp_2d_read_var(fh,disp,1,gx1)
call decomp_2d_read_var(fh,disp,1,gy1)
call decomp_2d_read_var(fh,disp,1,gz1)
call decomp_2d_read_var(fh,disp,1,hx1)
call decomp_2d_read_var(fh,disp,1,hy1)
call decomp_2d_read_var(fh,disp,1,hz1)
call decomp_2d_read_var(fh,disp,1,px1)
call decomp_2d_read_var(fh,disp,1,py1)
call decomp_2d_read_var(fh,disp,1,pz1)
call decomp_2d_read_var(fh,disp,1,pp3,phG)
call MPI_FILE_CLOSE(fh,ierror)
endif
endif
else !SCALAR
if (nscheme.ne.4) then
if (irestart==1) then !write
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_CREATE+MPI_MODE_WRONLY, MPI_INFO_NULL, &
fh, ierror)
filesize = 0_MPI_OFFSET_KIND
call MPI_FILE_SET_SIZE(fh,filesize,ierror) ! guarantee overwriting
disp = 0_MPI_OFFSET_KIND
call decomp_2d_write_var(fh,disp,1,ux1)
call decomp_2d_write_var(fh,disp,1,uy1)
call decomp_2d_write_var(fh,disp,1,uz1)
call decomp_2d_write_var(fh,disp,1,gx1)
call decomp_2d_write_var(fh,disp,1,gy1)
call decomp_2d_write_var(fh,disp,1,gz1)
call decomp_2d_write_var(fh,disp,1,px1)
call decomp_2d_write_var(fh,disp,1,py1)
call decomp_2d_write_var(fh,disp,1,pz1)
call decomp_2d_write_var(fh,disp,1,pp3,phG)
call decomp_2d_write_var(fh,disp,1,phi1)
call decomp_2d_write_var(fh,disp,1,phis1)
call MPI_FILE_CLOSE(fh,ierror)
else
if (nrank==0) print *,'RESTART'
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_var(fh,disp,1,ux1)
call decomp_2d_read_var(fh,disp,1,uy1)
call decomp_2d_read_var(fh,disp,1,uz1)
call decomp_2d_read_var(fh,disp,1,gx1)
call decomp_2d_read_var(fh,disp,1,gy1)
call decomp_2d_read_var(fh,disp,1,gz1)
call decomp_2d_read_var(fh,disp,1,px1)
call decomp_2d_read_var(fh,disp,1,py1)
call decomp_2d_read_var(fh,disp,1,pz1)
call decomp_2d_read_var(fh,disp,1,pp3,phG)
call decomp_2d_read_var(fh,disp,1,phi1)
call decomp_2d_read_var(fh,disp,1,phis1)
call MPI_FILE_CLOSE(fh,ierror)
endif
else !SCALAR + AB3
if (irestart==1) then !write
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_CREATE+MPI_MODE_WRONLY, MPI_INFO_NULL, &
fh, ierror)
filesize = 0_MPI_OFFSET_KIND
call MPI_FILE_SET_SIZE(fh,filesize,ierror) ! guarantee overwriting
disp = 0_MPI_OFFSET_KIND
call decomp_2d_write_var(fh,disp,1,ux1)
call decomp_2d_write_var(fh,disp,1,uy1)
call decomp_2d_write_var(fh,disp,1,uz1)
call decomp_2d_write_var(fh,disp,1,gx1)
call decomp_2d_write_var(fh,disp,1,gy1)
call decomp_2d_write_var(fh,disp,1,gz1)
call decomp_2d_write_var(fh,disp,1,hx1)
call decomp_2d_write_var(fh,disp,1,hy1)
call decomp_2d_write_var(fh,disp,1,hz1)
call decomp_2d_write_var(fh,disp,1,px1)
call decomp_2d_write_var(fh,disp,1,py1)
call decomp_2d_write_var(fh,disp,1,pz1)
call decomp_2d_write_var(fh,disp,1,pp3,phG)
call decomp_2d_write_var(fh,disp,1,phi1)
call decomp_2d_write_var(fh,disp,1,phis1)
call decomp_2d_write_var(fh,disp,1,phiss1)
call MPI_FILE_CLOSE(fh,ierror)
else
if (nrank==0) print *,'RESTART'
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'sauve.dat', &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_var(fh,disp,1,ux1)
call decomp_2d_read_var(fh,disp,1,uy1)
call decomp_2d_read_var(fh,disp,1,uz1)
call decomp_2d_read_var(fh,disp,1,gx1)
call decomp_2d_read_var(fh,disp,1,gy1)
call decomp_2d_read_var(fh,disp,1,gz1)
call decomp_2d_read_var(fh,disp,1,hx1)
call decomp_2d_read_var(fh,disp,1,hy1)
call decomp_2d_read_var(fh,disp,1,hz1)
call decomp_2d_read_var(fh,disp,1,px1)
call decomp_2d_read_var(fh,disp,1,py1)
call decomp_2d_read_var(fh,disp,1,pz1)
call decomp_2d_read_var(fh,disp,1,pp3,phG)
call decomp_2d_read_var(fh,disp,1,phi1)
call decomp_2d_read_var(fh,disp,1,phis1)
call decomp_2d_read_var(fh,disp,1,phiss1)
call MPI_FILE_CLOSE(fh,ierror)
endif
endif
endif
if (irestart==0) then
! reconstruction of the dp/dx, dp/dy and dp/dz from px1,py1 and pz1
! Temporal scheme (1:AB2, 2: RK3, 3:RK4, 4:AB3)
if (nscheme==1) xdt=adt(1)+bdt(1)
if (nscheme==2) xdt=(3./4.)*dt + (-5./12.)*dt
if (nscheme==3) xdt=0.041717869325*dt
if (nscheme==4) xdt=adt(1)+bdt(1)+cdt(1)
do k=1,xsize(3)
do j=1,xsize(2)
dpdyx1(j,k)=py1(1,j,k)/xdt
dpdzx1(j,k)=pz1(1,j,k)/xdt
dpdyxn(j,k)=py1(nx,j,k)/xdt
dpdzxn(j,k)=pz1(nx,j,k)/xdt
enddo
enddo
if (xsize(3)==1) then
do j=1,xsize(2)
do i=1,xsize(1)
dpdxz1(i,j)=px1(i,j,1)/xdt
dpdyz1(i,j)=py1(i,j,1)/xdt
enddo
enddo
endif
if (xsize(3)==nz) then
do j=1,xsize(2)
do i=1,xsize(1)
dpdxzn(i,j)=px1(i,j,nz)/xdt
dpdyzn(i,j)=py1(i,j,nz)/xdt
enddo
enddo
endif
! determine the processor grid in use
call MPI_CART_GET(DECOMP_2D_COMM_CART_X, 2, &
dims, dummy_periods, dummy_coords, code)
if (dims(1)==1) then
do k=1,xsize(3)
do i=1,xsize(1)
dpdxy1(i,k)=px1(i,1,k)/xdt
dpdzy1(i,k)=pz1(i,1,k)/xdt
enddo
enddo
do k=1,xsize(3)
do i=1,xsize(1)
dpdxyn(i,k)=px1(i,xsize(2),k)/xdt
dpdzyn(i,k)=pz1(i,xsize(2),k)/xdt
enddo
enddo
else
!find j=1 and j=ny
if (xstart(2)==1) then
do k=1,xsize(3)
do i=1,xsize(1)
dpdxy1(i,k)=px1(i,1,k)/xdt
dpdzy1(i,k)=pz1(i,1,k)/xdt
enddo
enddo
endif
! print *,nrank,xstart(2),ny-(nym/p_row)
if (ny-(nym/dims(1))==xstart(2)) then
do k=1,xsize(3)
do i=1,xsize(1)
dpdxyn(i,k)=px1(i,xsize(2),k)/xdt
dpdzyn(i,k)=pz1(i,xsize(2),k)/xdt
enddo
enddo
endif
endif
if (nrank==0) print *,'reconstruction pressure gradients done!'
endif
if (irestart==0) then
if (ivirt==2) then
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'epsilon.dat', &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_var(fh,disp,1,ep1)
call MPI_FILE_CLOSE(fh,ierror)
if (nrank==0) print *,'read epsilon file done from restart'
endif
endif
end subroutine restart
! ************************************************************************
subroutine read_inflow(ux1,uy1,uz1,ifileinflow)
!
! ************************************************************************
USE decomp_2d
USE decomp_2d_io
use var, only: ux_inflow, uy_inflow, uz_inflow
USE param
use actuator_line_model_utils
USE MPI
implicit none
TYPE(DECOMP_INFO) :: phG
integer :: i,j,k,irestart,nzmsize,fh,ierror,code, ifileinflow
real(mytype), dimension(NTimeSteps,xsize(2),xsize(3)) :: ux1,uy1,uz1
integer (kind=MPI_OFFSET_KIND) :: filesize, disp
real(mytype) :: xdt
integer, dimension(2) :: dims, dummy_coords
logical, dimension(2) :: dummy_periods
if(ifileinflow>NInflows) then ! Recirculate inflows
ifileinflow=mod(ifileinflow,NInflows)
endif
if (iscalar==0) then
if (nrank==0) print *,'READING INFLOW from ',trim(InflowPath)//'inflow'//trim(int2str(ifileinflow+1))
call MPI_FILE_OPEN(MPI_COMM_WORLD, trim(InflowPath)//'inflow'//trim(int2str(ifileinflow+1)), &
MPI_MODE_RDONLY, MPI_INFO_NULL, &
fh, ierror)
disp = 0_MPI_OFFSET_KIND
call decomp_2d_read_inflow(fh,disp,NTimeSteps,ux_inflow)
call decomp_2d_read_inflow(fh,disp,NTimeSteps,uy_inflow)
call decomp_2d_read_inflow(fh,disp,NTimeSteps,uz_inflow)
call MPI_FILE_CLOSE(fh,ierror)
endif
end subroutine read_inflow
! ***********************************************************************
subroutine append_outflow(ux,uy,uz,timestep)
!
! ***********************************************************************
USE decomp_2d
USE decomp_2d_io
use var, only: ux_recOutflow, uy_recOutflow, uz_recOutflow
USE param
implicit none
real(mytype), dimension(xsize(1),xsize(2),xsize(3)) :: ux,uy,uz
integer, intent(in) :: timestep
integer :: i,j,k
if (nrank==0) print *, 'Writing outflow', timestep
! Record planes in the middle
if (timestep<1.or.timestep>NTimeSteps) then
print*, 'timesteps should be between 1 and NTimesteps -- I exit without writing'
return
endif
do k=1,xsize(3)
do j=1,xsize(2)
ux_recOutflow(timestep,j,k)=ux(xend(1),j,k)
uy_recOutflow(timestep,j,k)=uy(xend(1),j,k)
uz_recOutflow(timestep,j,k)=uz(xend(1),j,k)
enddo
enddo
return
end subroutine append_outflow
! ***********************************************************************
subroutine write_outflow(ifileoutflow)
!
! ***********************************************************************
USE decomp_2d
USE decomp_2d_io
use actuator_line_model_utils
USE param
use var, only: ux_recOutflow, uy_recOutflow, uz_recOutflow
USE MPI
implicit none
integer,intent(in) :: ifileoutflow
TYPE(DECOMP_INFO) :: phG
integer :: i,j,k,irestart,nzmsize,fh,code
integer (kind=MPI_OFFSET_KIND) :: filesize, disp
real(mytype) :: xdt
integer, dimension(2) :: dims, dummy_coords
logical, dimension(2) :: dummy_periods
TYPE(DECOMP_INFO) :: decomp
integer, dimension(3) :: sizes, subsizes, starts
integer :: ierror, newtype, data_type
if (iscalar==0) then
if (nrank==0) print *,'WRITING OUTFLOW'
call MPI_FILE_OPEN(MPI_COMM_WORLD, 'inflow'//trim(int2str(ifileoutflow)), &
MPI_MODE_CREATE+MPI_MODE_WRONLY, MPI_INFO_NULL, &
fh, ierror)
filesize = 0_MPI_OFFSET_KIND
call MPI_FILE_SET_SIZE(fh,filesize,ierror) ! guarantee overwriting
disp = 0_MPI_OFFSET_KIND
call decomp_2d_write_outflow(fh,disp,NTimeSteps,ux_recOutflow)
call decomp_2d_write_outflow(fh,disp,NTimeSteps,uy_recOutflow)
call decomp_2d_write_outflow(fh,disp,NTimeSteps,uz_recOutflow)
call MPI_FILE_CLOSE(fh,ierror)
endif
end subroutine write_outflow
!*******************************************************************
subroutine stretching()
!
!*******************************************************************
!
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
real(mytype) :: yinf,den,xnum,xcx,den1,den2,den3,den4,xnum1,cst
integer :: j
yinf=-yly/2.
den=2.*beta*yinf
xnum=-yinf-sqrt(pi*pi*beta*beta+yinf*yinf)
alpha=abs(xnum/den)
xcx=1./beta/alpha
if (alpha.ne.0.) then
if (istret.eq.1) yp(1)=0.
if (istret.eq.2) yp(1)=0.
if (istret.eq.1) yeta(1)=0.
if (istret.eq.2) yeta(1)=-1./2.
if (istret.eq.3) yp(1)=0.
if (istret.eq.3) yeta(1)=-1./2.
do j=2,ny!-1
if (istret==1) then
if (ncly.eq.0) yeta(j)=(j-1.)*(1./ny)
if ((ncly.eq.1).or.(ncly.eq.2)) yeta(j)=(j-1.)*(1./(ny-1.))
endif
if (istret==2) then
if (ncly.eq.0) yeta(j)=(j-1.)*(1./ny)-0.5
if ((ncly.eq.1).or.(ncly.eq.2)) yeta(j)=(j-1.)*(1./(ny-1.))-0.5
endif
if (istret==3) then
if (ncly.eq.0) yeta(j)=((j-1.)*(1./2./ny)-0.5)
if ((ncly.eq.1).or.(ncly.eq.2)) yeta(j)=((j-1.)*(1./2./(ny-1.))-0.5)
endif
den1=sqrt(alpha*beta+1.)
xnum=den1/sqrt(alpha/pi)/sqrt(beta)/sqrt(pi)
den=2.*sqrt(alpha/pi)*sqrt(beta)*pi*sqrt(pi)
den3=((sin(pi*yeta(j)))*(sin(pi*yeta(j)))/beta/pi)+alpha/pi
den4=2.*alpha*beta-cos(2.*pi*yeta(j))+1.
if ((ncly.ne.0).and.(j==ny).and.(istret==1)) then
xnum1=0.
else
xnum1=(atan(xnum*tan(pi*yeta(j))))*den4/den1/den3/den
endif
cst=sqrt(beta)*pi/(2.*sqrt(alpha)*sqrt(alpha*beta+1.))
if (istret==1) then
if (yeta(j).lt.0.5) yp(j)=xnum1-cst-yinf
if (yeta(j).eq.0.5) yp(j)=0.-yinf
if (yeta(j).gt.0.5) yp(j)=xnum1+cst-yinf
endif
if (istret==2) then
if (yeta(j).lt.0.5) yp(j)=xnum1-cst+yly
if (yeta(j).eq.0.5) yp(j)=0.+yly
if (yeta(j).gt.0.5) yp(j)=xnum1+cst+yly
endif
if (istret==3) then
if (yeta(j).lt.0.5) yp(j)=(xnum1-cst+yly)*2.
if (yeta(j).eq.0.5) yp(j)=(0.+yly)*2.
if (yeta(j).gt.0.5) yp(j)=(xnum1+cst+yly)*2.
endif
enddo
endif
!if (nrank==0) then
!do j=1,ny
!print *,j,yp(j),yeta(j)
!enddo
!endif
!stop
if (alpha.eq.0.) then
yp(1)=-1.e10
do j=2,ny
yeta(j)=(j-1.)*(1./ny)
yp(j)=-beta*cos(pi*yeta(j))/sin(yeta(j)*pi)
enddo
endif
if (alpha.ne.0.) then
do j=1,ny
if (istret==1) then
if (ncly.eq.0) yetai(j)=(j-0.5)*(1./ny)
if ((ncly.eq.1).or.(ncly.eq.2)) yetai(j)=(j-0.5)*(1./(ny-1.))
endif
if (istret==2) then
if (ncly.eq.0) yetai(j)=(j-0.5)*(1./ny)-0.5
if ((ncly.eq.1).or.(ncly.eq.2)) yetai(j)=(j-0.5)*(1./(ny-1.))-0.5
endif
if (istret==3) then
if (ncly.eq.0) yetai(j)=(j-0.5)*(1./2./ny)-0.5
if ((ncly.eq.1).or.(ncly.eq.2)) yetai(j)=(j-0.5)*(1./2./(ny-1.))-0.5
endif
den1=sqrt(alpha*beta+1.)
xnum=den1/sqrt(alpha/pi)/sqrt(beta)/sqrt(pi)
den=2.*sqrt(alpha/pi)*sqrt(beta)*pi*sqrt(pi)
den3=((sin(pi*yetai(j)))*(sin(pi*yetai(j)))/beta/pi)+alpha/pi
den4=2.*alpha*beta-cos(2.*pi*yetai(j))+1.
xnum1=(atan(xnum*tan(pi*yetai(j))))*den4/den1/den3/den
cst=sqrt(beta)*pi/(2.*sqrt(alpha)*sqrt(alpha*beta+1.))
if (istret==1) then
if (yetai(j).lt.0.5) ypi(j)=xnum1-cst-yinf
if (yetai(j).eq.0.5) ypi(j)=0.-yinf
if (yetai(j).gt.0.5) ypi(j)=xnum1+cst-yinf
endif
if (istret==2) then
if (yetai(j).lt.0.5) ypi(j)=xnum1-cst+yly
if (yetai(j).eq.0.5) ypi(j)=0.+yly
if (yetai(j).gt.0.5) ypi(j)=xnum1+cst+yly
endif
if (istret==3) then
if (yetai(j).lt.0.5) ypi(j)=(xnum1-cst+yly)*2.
if (yetai(j).eq.0.5) ypi(j)=(0.+yly)*2.
if (yetai(j).gt.0.5) ypi(j)=(xnum1+cst+yly)*2.
endif
enddo
endif
if (alpha.eq.0.) then
ypi(1)=-1.e10
do j=2,ny
yetai(j)=(j-1.)*(1./ny)
ypi(j)=-beta*cos(pi*yetai(j))/sin(yetai(j)*pi)
enddo
endif
do j=1,ny
ppy(j)=yly*(alpha/pi+(1./pi/beta)*sin(pi*yeta(j))* &
sin(pi*yeta(j)))
pp2y(j)=ppy(j)*ppy(j)
pp4y(j)=(-2./beta*cos(pi*yeta(j))*sin(pi*yeta(j)))
enddo
do j=1,ny
ppyi(j)=yly*(alpha/pi+(1./pi/beta)*sin(pi*yetai(j))* &
sin(pi*yetai(j)))
pp2yi(j)=ppyi(j)*ppyi(j)
pp4yi(j)=(-2./beta*cos(pi*yetai(j))*sin(pi*yetai(j)))
enddo
if (nrank==0) then
open(10,file='yp.dat', form='formatted')
do j=1,ny
write(10,*)yp(j)
enddo
close(10)
endif
end subroutine stretching
!*****************************************************************
!
subroutine inversion5_v1(aaa,eee,spI)
!
!*****************************************************************
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
! decomposition object for spectral space
TYPE(DECOMP_INFO) :: spI
#ifdef DOUBLE_PREC
real(mytype), parameter :: epsilon = 1.e-16
#else
real(mytype), parameter :: epsilon = 1.e-8
#endif
complex(mytype),dimension(spI%yst(1):spI%yen(1),ny/2,spI%yst(3):spI%yen(3),5) :: aaa
complex(mytype),dimension(spI%yst(1):spI%yen(1),spI%yst(2):spI%yen(2),spI%yst(3):spI%yen(3)) :: eee
integer :: i,j,k,m,mi,jc
integer,dimension(2) :: ja,jb
complex(mytype),dimension(spI%yst(1):spI%yen(1),spI%yst(3):spI%yen(3)) :: sr
complex(mytype),dimension(spI%yst(1):spI%yen(1),spI%yst(3):spI%yen(3)) :: a1,b1
real(mytype) :: tmp1,tmp2,tmp3,tmp4
do i=1,2
ja(i)=4-i
jb(i)=5-i
enddo
do m=1,ny/2-2
do i=1,2
mi=m+i
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (real(aaa(j,m,k,3), kind=mytype).ne.0.) tmp1=real(aaa(j,mi,k,3-i), kind=mytype)/real(aaa(j,m,k,3), kind=mytype)
if (aimag(aaa(j,m,k,3)).ne.0.)tmp2=aimag(aaa(j,mi,k,3-i))/aimag(aaa(j,m,k,3))
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
eee(j,mi,k)=cmplx(real(eee(j,mi,k), kind=mytype)-tmp1*real(eee(j,m,k), kind=mytype),&
aimag(eee(j,mi,k))-tmp2*aimag(eee(j,m,k)), kind=mytype)
enddo
enddo
do jc=ja(i),jb(i)
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
aaa(j,mi,k,jc)=cmplx(real(aaa(j,mi,k,jc), kind=mytype)-real(sr(j,k), kind=mytype)*real(aaa(j,m,k,jc+i), kind=mytype),&
aimag(aaa(j,mi,k,jc))-aimag(sr(j,k))*aimag(aaa(j,m,k,jc+i)), kind=mytype)
enddo
enddo
enddo
enddo
enddo
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (abs(real(aaa(j,ny/2-1,k,3), kind=mytype)).gt.epsilon) then
tmp1=real(aaa(j,ny/2,k,2), kind=mytype)/real(aaa(j,ny/2-1,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,ny/2-1,k,3))).gt.epsilon) then
tmp2=aimag(aaa(j,ny/2,k,2))/aimag(aaa(j,ny/2-1,k,3))
else
tmp2=0.
endif
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
b1(j,k)=cmplx(real(aaa(j,ny/2,k,3), kind=mytype)-tmp1*real(aaa(j,ny/2-1,k,4), kind=mytype),&
aimag(aaa(j,ny/2,k,3))-tmp2*aimag(aaa(j,ny/2-1,k,4)), kind=mytype)
if (abs(real(b1(j,k), kind=mytype)).gt.epsilon) then
tmp1=real(sr(j,k), kind=mytype)/real(b1(j,k), kind=mytype)
tmp3=real(eee(j,ny/2,k), kind=mytype)/real(b1(j,k), kind=mytype)-tmp1*real(eee(j,ny/2-1,k), kind=mytype)
else
tmp1=0.
tmp3=0.
endif
if (abs(aimag(b1(j,k))).gt.epsilon) then
tmp2=aimag(sr(j,k))/aimag(b1(j,k))
tmp4=aimag(eee(j,ny/2,k))/aimag(b1(j,k))-tmp2*aimag(eee(j,ny/2-1,k))
else
tmp2=0.
tmp4=0.
endif
a1(j,k)=cmplx(tmp1,tmp2, kind=mytype)
eee(j,ny/2,k)=cmplx(tmp3,tmp4, kind=mytype)
if (abs(real(aaa(j,ny/2-1,k,3), kind=mytype)).gt.epsilon) then
tmp1=1./real(aaa(j,ny/2-1,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,ny/2-1,k,3))).gt.epsilon) then
tmp2=1./aimag(aaa(j,ny/2-1,k,3))
else
tmp2=0.
endif
b1(j,k)=cmplx(tmp1,tmp2, kind=mytype)
a1(j,k)=cmplx(real(aaa(j,ny/2-1,k,4), kind=mytype)*real(b1(j,k), kind=mytype),&
aimag(aaa(j,ny/2-1,k,4))*aimag(b1(j,k)), kind=mytype)
eee(j,ny/2-1,k)=cmplx(real(eee(j,ny/2-1,k))*real(b1(j,k))-real(a1(j,k))*real(eee(j,ny/2,k)),&
aimag(eee(j,ny/2-1,k))*aimag(b1(j,k))-aimag(a1(j,k))*aimag(eee(j,ny/2,k)), kind=mytype)
enddo
enddo
do i=ny/2-2,1,-1
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (abs(real(aaa(j,i,k,3), kind=mytype)).gt.epsilon) then
tmp1=1./real(aaa(j,i,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,i,k,3))).gt.epsilon) then
tmp2=1./aimag(aaa(j,i,k,3))
else
tmp2=0.
endif
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
a1(j,k)=cmplx(real(aaa(j,i,k,4), kind=mytype)*real(sr(j,k), kind=mytype),&
aimag(aaa(j,i,k,4))*aimag(sr(j,k)), kind=mytype)
b1(j,k)=cmplx(real(aaa(j,i,k,5), kind=mytype)*real(sr(j,k), kind=mytype),&
aimag(aaa(j,i,k,5))*aimag(sr(j,k)), kind=mytype)
eee(j,i,k)=cmplx(real(eee(j,i,k), kind=mytype)*real(sr(j,k), kind=mytype)-&
real(a1(j,k), kind=mytype)*real(eee(j,i+1,k), kind=mytype)-&
real(b1(j,k), kind=mytype)*real(eee(j,i+2,k), kind=mytype),&
aimag(eee(j,i,k))*aimag(sr(j,k))-&
aimag(a1(j,k))*aimag(eee(j,i+1,k))-aimag(b1(j,k))*aimag(eee(j,i+2,k)), kind=mytype)
enddo
enddo
enddo
return
end subroutine inversion5_v1
!*****************************************************************
!
subroutine inversion5_v2(aaa,eee,spI)
!
!*****************************************************************
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
! decomposition object for spectral space
TYPE(DECOMP_INFO) :: spI
#ifdef DOUBLE_PREC
real(mytype), parameter :: epsilon = 1.e-16
#else
real(mytype), parameter :: epsilon = 1.e-8
#endif
complex(mytype),dimension(spI%yst(1):spI%yen(1),nym,spI%yst(3):spI%yen(3),5) :: aaa
complex(mytype),dimension(spI%yst(1):spI%yen(1),nym,spI%yst(3):spI%yen(3)) :: eee
integer :: i,j,k,m,mi,jc
integer,dimension(2) :: ja,jb
complex(mytype),dimension(spI%yst(1):spI%yen(1),spI%yst(3):spI%yen(3)) :: sr
complex(mytype),dimension(spI%yst(1):spI%yen(1),spI%yst(3):spI%yen(3)) :: a1,b1
real(mytype) :: tmp1,tmp2,tmp3,tmp4
do i=1,2
ja(i)=4-i
jb(i)=5-i
enddo
do m=1,nym-2
do i=1,2
mi=m+i
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (real(aaa(j,m,k,3), kind=mytype).ne.0.) tmp1=real(aaa(j,mi,k,3-i), kind=mytype)/real(aaa(j,m,k,3), kind=mytype)
if (aimag(aaa(j,m,k,3)).ne.0.)tmp2=aimag(aaa(j,mi,k,3-i))/aimag(aaa(j,m,k,3))
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
eee(j,mi,k)=cmplx(real(eee(j,mi,k), kind=mytype)-tmp1*real(eee(j,m,k), kind=mytype),&
aimag(eee(j,mi,k))-tmp2*aimag(eee(j,m,k)), kind=mytype)
enddo
enddo
do jc=ja(i),jb(i)
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
aaa(j,mi,k,jc)=cmplx(real(aaa(j,mi,k,jc), kind=mytype)-real(sr(j,k), kind=mytype)*real(aaa(j,m,k,jc+i), kind=mytype),&
aimag(aaa(j,mi,k,jc))-aimag(sr(j,k))*aimag(aaa(j,m,k,jc+i)), kind=mytype)
enddo
enddo
enddo
enddo
enddo
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (abs(real(aaa(j,nym-1,k,3), kind=mytype)).gt.epsilon) then
tmp1=real(aaa(j,nym,k,2), kind=mytype)/real(aaa(j,nym-1,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,nym-1,k,3))).gt.epsilon) then
tmp2=aimag(aaa(j,nym,k,2))/aimag(aaa(j,nym-1,k,3))
else
tmp2=0.
endif
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
b1(j,k)=cmplx(real(aaa(j,nym,k,3), kind=mytype)-tmp1*real(aaa(j,nym-1,k,4), kind=mytype),&
aimag(aaa(j,nym,k,3))-tmp2*aimag(aaa(j,nym-1,k,4)), kind=mytype)
if (abs(real(b1(j,k), kind=mytype)).gt.epsilon) then
tmp1=real(sr(j,k), kind=mytype)/real(b1(j,k), kind=mytype)
tmp3=real(eee(j,nym,k), kind=mytype)/real(b1(j,k), kind=mytype)-tmp1*real(eee(j,nym-1,k), kind=mytype)
else
tmp1=0.
tmp3=0.
endif
if (abs(aimag(b1(j,k))).gt.epsilon) then
tmp2=aimag(sr(j,k))/aimag(b1(j,k))
tmp4=aimag(eee(j,nym,k))/aimag(b1(j,k))-tmp2*aimag(eee(j,nym-1,k))
else
tmp2=0.
tmp4=0.
endif
a1(j,k)=cmplx(tmp1,tmp2, kind=mytype)
eee(j,nym,k)=cmplx(tmp3,tmp4, kind=mytype)
if (abs(real(aaa(j,nym-1,k,3), kind=mytype)).gt.epsilon) then
tmp1=1./real(aaa(j,nym-1,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,nym-1,k,3))).gt.epsilon) then
tmp2=1./aimag(aaa(j,nym-1,k,3))
else
tmp2=0.
endif
b1(j,k)=cmplx(tmp1,tmp2, kind=mytype)
a1(j,k)=cmplx(real(aaa(j,nym-1,k,4), kind=mytype)*real(b1(j,k), kind=mytype),&
aimag(aaa(j,nym-1,k,4))*aimag(b1(j,k)), kind=mytype)
eee(j,nym-1,k)=cmplx(real(eee(j,nym-1,k), kind=mytype)*real(b1(j,k), kind=mytype)-&
real(a1(j,k), kind=mytype)*real(eee(j,nym,k), kind=mytype),&
aimag(eee(j,nym-1,k))*aimag(b1(j,k))-aimag(a1(j,k))*aimag(eee(j,nym,k)), kind=mytype)
enddo
enddo
do i=nym-2,1,-1
do k=spI%yst(3),spI%yen(3)
do j=spI%yst(1),spI%yen(1)
if (abs(real(aaa(j,i,k,3), kind=mytype)).gt.epsilon) then
tmp1=1./real(aaa(j,i,k,3), kind=mytype)
else
tmp1=0.
endif
if (abs(aimag(aaa(j,i,k,3))).gt.epsilon) then
tmp2=1./aimag(aaa(j,i,k,3))
else
tmp2=0.
endif
sr(j,k)=cmplx(tmp1,tmp2, kind=mytype)
a1(j,k)=cmplx(real(aaa(j,i,k,4), kind=mytype)*real(sr(j,k), kind=mytype),&
aimag(aaa(j,i,k,4))*aimag(sr(j,k)), kind=mytype)
b1(j,k)=cmplx(real(aaa(j,i,k,5), kind=mytype)*real(sr(j,k), kind=mytype),&
aimag(aaa(j,i,k,5))*aimag(sr(j,k)), kind=mytype)
eee(j,i,k)=cmplx(real(eee(j,i,k), kind=mytype)*real(sr(j,k), kind=mytype)-&
real(a1(j,k), kind=mytype)*real(eee(j,i+1,k), kind=mytype)-&
real(b1(j,k), kind=mytype)*real(eee(j,i+2,k), kind=mytype),&
aimag(eee(j,i,k))*aimag(sr(j,k))-&
aimag(a1(j,k))*aimag(eee(j,i+1,k))-aimag(b1(j,k))*aimag(eee(j,i+2,k)), kind=mytype)
enddo
enddo
enddo
return
end subroutine inversion5_v2
!********************************************************************
!
subroutine channel (ux)
!
!********************************************************************
USE decomp_2d
USE decomp_2d_poisson
USE param
USE var
USE MPI
implicit none
real(mytype),dimension(ysize(1),ysize(2),ysize(3)) :: ux
integer :: j,i,k,code
real(mytype) :: can,ut3,ut,ut4
ut3=0.