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work.f90
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! *****************************************************************************
! * *
! * ECHO-QGP *
! * *
! * Version: 1.5.0-alpha *
! * *
! * Copyright (C) 2015 The ECHO-QGP team *
! * *
! * File: work.f90 *
! * *
! * License: GPL version 2.0 (Please, read the file LICENSE.TXT) *
! * *
! * This program 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 2 *
! * of the License, or (at your option) any later version. *
! * *
! * This program 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 this program; if not, write to the Free Software *
! * Foundation, Inc., 51 Franklin Street, Fifth Floor, *
! * Boston, MA 02110-1301, USA. *
! * *
! * Authors: Luca Del Zanna ([email protected]) *
! * *
! * Contributors: Gabriele Inghirami ([email protected]) *
! * *
! * Acknowledgments: *
! * *
! *****************************************************************************
module work
!-- Riemann solver and interface for high-order procedures
use common, only: derivatives_out,aflux
implicit none
real(8),allocatable,dimension(:,:) :: w0,w1,wl,wr,wd,wdr,wdl
contains
! *****************************************************************************
subroutine work_alloc(i1,i2,nv)
!-- Allocate main 1-D arrays
integer,intent(in) :: i1,i2,nv
allocate(w0(i1:i2,nv),wl(i1:i2,nv),wr(i1:i2,nv),w1(i1:i2,nv+2))
if(derivatives_out) then
allocate(wd(i1:i2,5),wdl(i1:i2,5),wdr(i1:i2,5))
else
allocate(wd(i1:i2,4),wdl(i1:i2,4),wdr(i1:i2,4))
end if
w0=0.;wl=0.;wr=0.;w1=0.;wd=0.;wdl=0.;wdr=0.;
end subroutine work_alloc
! *****************************************************************************
subroutine work_glmx(n)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
implicit none
integer ,intent(in) :: n
integer :: i
do i=0,n
wl(i,kglm)=0.5*(wl(i,kglm)+wr(i,kglm))-(wr(i,kbx)-wl(i,kbx))*glm_ch/2
wr(i,kglm)=wl(i,kglm)
wl(i,kbx)=0.5*(wl(i,kbx)+wr(i,kbx))-(wr(i,kglm)-wl(i,kglm))/(2*glm_ch)
wr(i,kbx)=wl(i,kbx)
end do
end subroutine work_glmx
! *****************************************************************************
subroutine work_glmy(n)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
implicit none
integer ,intent(in) :: n
integer :: i
do i=0,n
wl(i,kglm)=0.5*(wl(i,kglm)+wr(i,kglm))-(wr(i,kby)-wl(i,kby))*glm_ch/2
wr(i,kglm)=wl(i,kglm)
wl(i,kby)=0.5*(wl(i,kby)+wr(i,kby))-(wr(i,kglm)-wl(i,kglm))/(2*glm_ch)
wr(i,kby)=wl(i,kby)
end do
end subroutine work_glmy
! *****************************************************************************
subroutine work_glmz(n)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
implicit none
integer ,intent(in) :: n
integer :: i
do i=0,n
wl(i,kglm)=0.5*(wl(i,kglm)+wr(i,kglm))-(wr(i,kbz)-wl(i,kbz))*glm_ch/2
wr(i,kglm)=wl(i,kglm)
wl(i,kbz)=0.5*(wl(i,kbz)+wr(i,kbz))-(wr(i,kglm)-wl(i,kglm))/(2*glm_ch)
wr(i,kbz)=wl(i,kbz)
end do
end subroutine work_glmz
! *****************************************************************************
subroutine work_fupx(n,x1,x2,x3,errcode)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
integer ,intent(in) :: n
real(8) ,dimension(0:n),intent(in) :: x1
real(8) ,intent(in) :: x2,x3
real(8),dimension( 3) :: x
real(8),dimension(nv) :: ul,ur,fl,fr
real(8),dimension( 2) :: vfl,vfr
integer :: i
real(8) :: ap,am,a1,a
real(8),dimension(nv) :: u_hll,f_hll,us
real(8) :: vzl,vzr,sr,sl,aa,bb,cc,ss,ps
integer :: errcode
errcode=0
select case(solver)
!-- Local Lax Friedrichs (Rusanov) symmetric two-wave solver
case('LLF')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,1,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupx subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1(i),"x2=",x2,"x3=",x3
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,1,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupx subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1(i),"x2=",x2,"x3=",x3
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
a =max(ap,am)
w1(i,1:nv)=0.5*(fl+fr-a*(ur-ul))
w1(i,nv+1)=a
w1(i,nv+2)=a
end do
!-- Harten - Lax - van Leer upwind two-wave solver
case('HLL')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,1,errcode)
!DDD write(*,*) "Call left", fl(9)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupx subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1(i),"x2=",x2,"x3=",x3
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,1,errcode)
!DDD write(*,*) "Call right", fr(9)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupx subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1(i),"x2=",x2,"x3=",x3
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
aflux(1)=max(ap,am)
if ((ap .eq. 0.0) .and. (am .eq. 0.0)) then
a1=1.
else
a1=1./(ap+am)
end if
! w1(i,kbx)=0.5*(ul(kbx)+ur(kbx))-(ur(kglm)+ul(kglm))/(2*glm_ch)
! w1(i,kglm)=0.5*(ul(kglm)+ur(kglm))-(ur(kbx)+ul(kbx))*glm_ch/2
w1(i,1:nv)=a1*(ap*fl+am*fr-ap*am*(ur-ul))
w1(i,nv+1)=ap
w1(i,nv+2)=am
end do
end select
end subroutine work_fupx
! *****************************************************************************
subroutine work_fupy(n,x1,x2,x3,errcode)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
integer ,intent(in) :: n
real(8) ,dimension(0:n),intent(in) :: x2
real(8) ,intent(in) :: x1,x3
real(8),dimension( 3) :: x
real(8),dimension(nv) :: ul,ur,fl,fr
real(8),dimension( 2) :: vfl,vfr
integer :: i
real(8) :: ap,am,a1,a
real(8),dimension(nv) :: u_hll,f_hll,us
real(8) :: vzl,vzr,sr,sl,aa,bb,cc,ss,ps
integer :: errcode
errcode=0
select case(solver)
!-- Local Lax Friedrichs (Rusanov) symmetric two-wave solver
case('LLF')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,2,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupy subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2(i),"x3=",x3
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,2,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupy subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2(i),"x3=",x3
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
a =max(ap,am)
w1(i,1:nv)=0.5*(fl+fr-a*(ur-ul))
w1(i,nv+1)=a
w1(i,nv+2)=a
end do
!-- Harten - Lax - van Leer upwind two-wave solver
case('HLL')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,2,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupy subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2(i),"x3=",x3
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,2,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupy subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2(i),"x3=",x3
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
aflux(2)=max(ap,am)
if ((ap .eq. 0.0) .and. (am .eq. 0.0)) then
a1=1.
else
a1=1./(ap+am)
end if
! w1(i,kby)=0.5*(ul(kby)+ur(kby))-(ur(kglm)+ul(kglm))/(2*glm_ch)
! w1(i,kglm)=0.5*(ul(kglm)+ur(kglm))-(ur(kby)+ul(kby))*glm_ch/2
w1(i,1:nv)=a1*(ap*fl+am*fr-ap*am*(ur-ul))
w1(i,nv+1)=ap
w1(i,nv+2)=am
end do
end select
end subroutine work_fupy
! *****************************************************************************
subroutine work_fupz(n,x1,x2,x3,errcode)
!-- Calculate fluid upwind fluxes
use common,only: solver
use system_eqgp
integer ,intent(in) :: n
real(8) ,dimension(0:n),intent(in) :: x3
real(8) ,intent(in) :: x1,x2
real(8),dimension( 3) :: x
real(8),dimension(nv) :: ul,ur,fl,fr
real(8),dimension( 2) :: vfl,vfr
integer :: i
real(8) :: ap,am,a1,a
real(8),dimension(nv) :: u_hll,f_hll,us
real(8) :: vzl,vzr,sr,sl,aa,bb,cc,ss,ps
integer :: errcode
errcode=0
select case(solver)
!-- Local Lax Friedrichs (Rusanov) symmetric two-wave solver
case('LLF')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,3,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupz subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2,"x3=",x3(i)
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,3,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupz subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2,"x3=",x3(i)
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
a =max(ap,am)
w1(i,1:nv)=0.5*(fl+fr-a*(ur-ul))
w1(i,nv+1)=a
w1(i,nv+2)=a
end do
!-- Harten - Lax - van Leer upwind two-wave solver
case('HLL')
do i=0,n
call system_flux(wl(i,1:nv),ul,fl,vfl,3,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupz subroutine when computing left fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2,"x3=",x3(i)
return
end if
call system_flux(wr(i,1:nv),ur,fr,vfr,3,errcode)
if(errcode .gt. 0) then
write(*,*) "An error occurred into work_fupz subroutine when computing right fluxes."
write(*,*) "Error code:", errcode
write(*,*) "Position on the grid: x1=",x1,"x2=",x2,"x3=",x3(i)
return
end if
ap=max(0., vfl(1), vfr(1))
am=max(0.,-vfl(2),-vfr(2))
aflux(3)=max(ap,am)
if ((ap .eq. 0.0) .and. (am .eq. 0.0)) then
a1=1.
else
a1=1./(ap+am)
end if
! w1(i,kbz)=0.5*(ul(kbz)+ur(kbz))-(ur(kglm)+ul(kglm))/(2*glm_ch)
! w1(i,kglm)=0.5*(ul(kglm)+ur(kglm))-(ur(kbz)+ul(kbz))*glm_ch/2
w1(i,1:nv)=a1*(ap*fl+am*fr-ap*am*(ur-ul))
w1(i,nv+1)=ap
w1(i,nv+2)=am
end do
end select
end subroutine work_fupz
! *****************************************************************************
subroutine work_rec(n,k1,k2,flag)
!-- Interface for REC procedures
use common,only: recal
use holib
integer,intent(in) :: n,k1,k2
integer :: ngc,k, flag
select case(recal)
case ('TVD2 ')
ngc=2
if (flag .eq. 0) then
do k=k1,k2
call holib_rectvd2(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_rectvd2(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('CENO3')
ngc=3
if (flag .eq. 0) then
do k=k1,k2
call holib_recceno3(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recceno3(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('WENO3')
ngc=2
if (flag .eq. 0) then
do k=k1,k2
call holib_recweno3(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recweno3(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('WENO5')
ngc=3
if (flag .eq. 0) then
do k=k1,k2
call holib_recweno5(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recweno5(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('PPM4 ')
ngc=2
if (flag .eq. 0) then
do k=k1,k2
call holib_recppm4(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recppm4(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('MPE3 ')
ngc=3
if (flag .eq. 0) then
do k=k1,k2
call holib_recmpe3(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recmpe3(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('MPE5 ')
ngc=3
if (flag .eq. 0) then
do k=k1,k2
call holib_recmpe5(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recmpe5(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case ('MPE7 ')
ngc=4
if (flag .eq. 0) then
do k=k1,k2
call holib_recmpe7(w0(1-ngc:n+ngc,k),wl(0:n,k),wr(0:n,k),n)
end do
else
do k=k1,k2
call holib_recmpe7(wd(1-ngc:n+ngc,k),wdl(0:n,k),wdr(0:n,k),n)
end do
end if
case default
write(*,*) 'REC undefined'
call exit(1)
end select
end subroutine work_rec
! *****************************************************************************
subroutine work_der(n,k1,k2,flag)
!-- Interface for DER procedures
use common,only: der
use holib
integer,intent(in) :: n,k1,k2
integer :: ngc,k, flag
select case(der)
case (' DER-E2')
do k=k1,k2
call holib_dere2(w0(0:n,k),w1(1:n,k),n)
end do
case (' DER-E4')
ngc=1
do k=k1,k2
call holib_dere4(w0(-ngc:n+ngc,k),w1(1:n,k),n)
end do
case (' DER-E6')
ngc=2
do k=k1,k2
call holib_dere6(w0(-ngc:n+ngc,k),w1(1:n,k),n)
end do
case (' DER-E8')
ngc=3
do k=k1,k2
call holib_dere8(w0(-ngc:n+ngc,k),w1(1:n,k),n)
end do
case default
stop 'DER undefined'
end select
end subroutine work_der
! ****************************************************************************
end module work
! *****************************************************************************