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c This file is part of Fbmns3d
c Copyright (C) 2004 Mourad Ismail
c
c Fbmns3d is free software; you can redistribute it and/or modify
c it under the terms of the GNU General Public License as published by
c the Free Software Foundation; either version 3 of the Licence, or
c (at your option) any later version.
c
c Fbmns3d is distributed in the hope that it will be useful,
c but WITHOUT ANY WARRANTY; without even the implied warranty of
c MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
c GNU General Public License for more details.
c
c You should have received a copy of the GNU General Public License
c along with Fbmns3d. If not, see <http://www.gnu.org/licenses/>.
c Author : Mourad Ismail ([email protected])
c $Id$
C======================================================================
SUBROUTINE INITIAL (nx,ny,nz,nmx,nmy,nmz,npt,
> R,x,y,z,DnV,DnV0,Uinter,U_n,V_X0,V_Y0,V_Z0,PR0)
C
IMPLICIT NONE
INTEGER i,j,k,npt,nmx,nmy,nmz,nx,ny,nz
DOUBLE PRECISION Uinter(*),DnV(*),DnV0(*),U_n(nmz,nmy,nmx),
> x(*),y(*),z(*),R,rho,V_X0(nmz,nmy,nmx),V_Y0(nmz,nmy,nmx),
> V_Z0(nmz,nmy,nmx),PR0(nmz,nmy,nmx)
C
DO i=1,2*npt
Uinter (i) = 0.D0
ENDDO
DO i=1,npt
Dnv(i)=0.D0
DnV0(i)=1.D0
ENDDO
do k=1,nz
do j=1,ny
do i=1,nx
U_n (k,j,i)=0.d0
if (k.eq.1) then
PR0 (k,j,i)=1.d0
else
PR0 (k,j,i)=0.d0
endif
V_x0(k,j,i)=0.d0
V_Y0(k,j,i)=0.d0
V_Z0(k,j,i)=1.d0!*(1.D0-x(i)**2)*(1.D0-y(j)**2)
! if (k.eq.1) then
! V_Z0(k,j,i)=1.d0
! else
! V_Z0(k,j,i)=0.d0
! endif
enddo
enddo
enddo
c$$$ do j=1,ny
c$$$ do i=1,nx
c$$$ V_x0(nz,j,i)=1.d0
c$$$ EndDo
c$$$ EndDo
C
RETURN
END
C
*=======================================================================*
SUBROUTINE input_2nd_mbre(switch,ll,nx,ny,nz,nmx,nmy,nmz,np,
>i_temps,dt,nu,x,y,z,ax,ay,az,R,rho,f)
*=======================================================================*
IMPLICIT NONE
INTEGER nx,ny,nz,nmx,nmy,nmz,np,i,j,k,l,i_temps,npp,ll
double precision R,dt,temps,nu
DOUBLE PRECISION x(*),y(*),z(*)
double precision f(nmz,nmy,nmx)
double precision ax(*),ay(*),az(*),rho(*)
logical switch
C
temps=i_temps*dt
if (switch) then
C-PRESSION--PRESSION--PRESSION--PRESSION--PRESSION--PRESSION--PRESSION-
do k=1,nz
do j=1,ny !A MODIFIER POUR TENIR COMPTE DES NOUVEAUX DDL DE LA PRESSION
do i=1,nx
f(k,j,i)=0.d0
EndDo
EndDo
end do
else
C-Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse-
if(ll.eq.1) then
do k=1,nz
do j=1,ny
do i=1,nx
f(k,j,i)=0.D0
EndDo
EndDo
endDo
elseif(ll.eq.2) then
do k=1,nz
do j=1,ny
do i=1,nx
f(k,j,i)=0.D0
EndDo
EndDo
endDo
elseif(ll.eq.3) then
do k=1,nz
do j=1,ny
do i=1,nx
f(k,j,i)=0.d0
EndDo
EndDo
endDo
else
STOP
endif
endif
C
RETURN
END
*=======================================================================*
SUBROUTINE input_analy(switch,l,nx,ny,nz,nmx,nmy,nmz,i_temps,dt,
> x,y,z,R,u)
*=======================================================================*
IMPLICIT NONE
INTEGER nmx,nmy,nmz,i,j,k,l,i_temps,nx,ny,nz
double precision dt,temps,R,pi
DOUBLE PRECISION x(*),y(*),z(*),u(nmz,nmy,nmx)
logical switch
c
temps=i_temps*dt ; pi=dacos(-1.d0)
c
if (switch) then
C-PRESSION--PRESSION--PRESSION--PRESSION--PRESSION--PRESSION--PRESSION-
do k=1,nz
do j=1,ny
do i=1,nx
if(k.eq.1) then
u(k,j,i)=1.d0
! u(k,j,i)=0.d0
else
u(k,j,i)=0.d0
endif
end do
end do
end do
else
C-Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse--Vitesse-
if(l.eq.1) then !--------VX--------------
do k=1,nz
do j=1,ny
do i=1,nx
u(k,j,i)=0.d0
EndDo
EndDo
endDo
c$$$ do j=1,ny
c$$$ do i=1,nx
c$$$ u(nz,j,i)=1.d0
c$$$ EndDo
c$$$ EndDo
elseif(l.eq.2) then !--------VY--------------
do k=1,nz
do j=1,ny
do i=1,nx
u(k,j,i)=0.d0
EndDo
EndDo
endDo
elseif(l.eq.3) then !--------VZ--------------
do k=1,nz
do j=1,ny
do i=1,nx
! u(k,j,i)=1.d0*(x(i)**2-1.d0)*(y(j)**2-1.d0)
! u(k,j,i)=16.d0*x(i)*(1.D0-x(i))*y(j)*(1.D0-y(j))
! if (k.eq.1) then
u(k,j,i)=1.d0
! else
! u(k,j,i)=0.d0
! endif
EndDo
EndDo
endDo
else !--------ERROR----------
STOP
endif
endif
C
RETURN
END
c
c========================================================================c
subroutine Input_func(d,n,nmx,nmy,nmz,r,x,y,z,ix,iy,iz,a,b,c,
> U,ga)
c========================================================================c
c
implicit none
integer i,j,l,n,d,nmx,nmy,nmz,ix(8),iy(8),iz(8)
double precision r,r2,rho,rhoR2,dxk,dyk,dzk,x(*),y(*),z(*)
double precision interpol_Q1_X,interpol_Q1_Y,interpol_Q1_Z,duex_x
double precision duex_y,duex_z,uex,ucomp,interpol_Q1,ga(5,5,5)
double precision a(5),b(5),c(5),U(nmz,nmy,nmx)
double precision pi, beta, beta2
c
R2=r**2 ; pi=dacos(-1.d0) ; beta=2.d0*pi ; beta2=beta**2
c
if (d.eq.0) then ! d=0 ----> input exact and computing solutions for
c ! L2 error computing
do l=1,n
do j=1,n
do i=1,n
rho=a(i)**2+b(j)**2+c(l)**2
rhoR2=rho-(R2)
if(rho.le.R2)then
uex =1.d0
ucomp=interpol_Q1(nmx,nmy,nmz,ix,iy,iz,a(i),b(j),c(l),x,y,z,U)
else
! uex=dcos(beta*(rhoR2))
! ucomp=interpol_Q1(nmx,nmy,nmz,ix,iy,iz,a(i),b(j),c(l),x,y,z,U)
endif
ga(i,j,l)=(uex-ucomp)**2
enddo
enddo
enddo
c
elseif (d.eq.1) then ! d=1 ----> input exact and computing solutions for
c ! H1 error computing
do l=1,n
do j=1,n
do i=1,n
rho=a(i)**2+b(j)**2+c(l)**2
rhoR2=rho-R2
dxk=interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,a(i),b(j),c(l),x,y,z,U)
dyk=interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,a(i),b(j),c(l),x,y,z,U)
dzk=interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,a(i),b(j),c(l),x,y,z,U)
if(rho.le.R2)then
duex_x = 0.d0
duex_y = 0.d0
duex_z = 0.d0
else
duex_x = -2*beta*a(i)*dsin(beta*(rhoR2))
duex_y = -2*beta*b(j)*dsin(beta*(rhoR2))
duex_z = -2*beta*c(l)*dsin(beta*(rhoR2))
! duex_x = 0.5d0*a(i)*(2.d0*(a(i)**2)+c(l)**2-2.d0*R2)
! duex_y =-0.5d0*b(j)*(2.d0*(b(j)**2)+c(l)**2-2.d0*R2)
! duex_z = 0.5d0*c(l)*(a(i)**2-b(j)**2)
endif
ga(i,j,l)=(duex_x-dxk)**2+(duex_y-dyk)**2+(duex_z-dzk)**2
enddo
enddo
enddo
c
elseif (d.eq.2) then ! d=2 ----> input right hand side
c
do l=1,n
do j=1,n
do i=1,n
rho=a(i)**2+b(j)**2+c(l)**2
! if(rho.le.R2) then
ga(i,j,l)=0.d0
! else
! ga(i,j,l)= 6.d0*beta*dsin(beta*(rho-R2)) +
! > 4.d0*beta2*rho*dcos(beta*(rho-R2))
! ga(i,j,l)=7.d0*(b(j)**2-a(i)**2)/2.d0
! endif
enddo
enddo
enddo
c
else
print*,' '
print*,'ABORTING.......'
print*,'Error in d index. d=',d
print*,'d must be :'
print*,' 0 for input exact and computing solutions'
print*,' 1 for input exact and computing solutions gradient'
print*,' 2 for input right hand side'
print*,' '
stop
endif
c
return
end
c
C=====================================================================
SUBROUTINE DATA_AND_GEOM(ncs,npt,np,nr,r,epsilon,theta,alpha,nu,
> zeta,dt,itermaxV,itermax,itermax_tp,prec,xxi,yyi,zzi,xl,yl,zl,
> bcP,bcVX,bcVY,bcVZ,ax,ay,az,switch)
C=====================================================================
IMPLICIT NONE
INTEGER i,np,nr,ncs,npt,itermax,itermax_tp,itermaxV
integer bcP(6),bcVX(6),bcVY(6),bcVZ(6)
DOUBLE PRECISION r,epsilon,theta,alpha,xxi,yyi,zzi,xl,yl,zl,
> prec,nu,dt,zeta
DOUBLE PRECISION ax(*),ay(*),az(*)
logical switch
C
open(unit=29,file='data.data',status='unknown')
read(29,*)
read(29,*) xxi , yyi , zzi , xl , yl , zl , switch
read(29,*)
read(29,*) (bcVX(i),i=1,6)
read(29,*) (bcVY(i),i=1,6)
read(29,*) (bcVZ(i),i=1,6)
read(29,*) (bcP (i),i=1,6)
read(29,*)
read(29,*) itermaxV, itermax, prec
read(29,*)
read(29,*) alpha , zeta, theta , epsilon , r , np , nr
read(29,*)
read(29,*) nu , dt ,itermax_tp
read(29,*)
c
if (np.ne.0) then
DO i=1,np
read(29,*) ax(i),ay(i),az(i)
ENDDO
npt=np*ncs
else
npt=ncs
endif
c
do i=1,6
if((bcP (i).ne.1).and.(bcP (i).ne.0).or.
> (bcVX(i).ne.1).and.(bcVX(i).ne.0).or.
> (bcVY(i).ne.1).and.(bcVY(i).ne.0).or.
> (bcVZ(i).ne.1).and.(bcVZ(i).ne.0) ) then
print*,'Error in Boundary Conditions index'
stop
endif
enddo
! alpha=alpha/(nu*dt)
CLOSE(29)
C
RETURN
END