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interpolate.f
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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--------------------------------------------------------------------C
C--------------------------FUNCTIONS---------------------------------C
C--------------------------------------------------------------------C
C
C======================================================================C
function interpol_Q1 (nmx,nmy,nmz,ix,iy,iz,x,y,z,xx,yy,zz,U)
C======================================================================C
implicit none
integer nmx,nmy,nmz,j
integer ix(8),iy(8),iz(8)
double precision x,y,z,xx(*),yy(*),zz(*),interpol_Q1,evalqi
double precision U(nmz,nmy,nmx)
c
interpol_Q1=0.D0
c
do j=1,8
interpol_Q1=interpol_Q1+u(iz(j),iy(j),ix(j))*
> evalqi (j,ix,iy,iz,x,y,z,xx,yy,zz)
enddo
c
return
end
C
C======================================================================C
function interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,x,y,z,xx,yy,zz,U)
C======================================================================C
implicit none
integer nmx,nmy,nmz,j
integer ix(8),iy(8),iz(8)
double precision x,y,z,xx(*),yy(*),zz(*),interpol_Q1_X,eval_GX_qi
double precision U(nmz,nmy,nmx)
c
interpol_Q1_X=0.D0
c
do j=1,8
interpol_Q1_X=interpol_Q1_X+u(iz(j),iy(j),ix(j))*
> eval_GX_qi (j,ix,iy,iz,x,y,z,xx,yy,zz)
enddo
c
return
end
C======================================================================C
function interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,x,y,z,xx,yy,zz,U)
C======================================================================C
implicit none
integer nmx,nmy,nmz,j
integer ix(8),iy(8),iz(8)
double precision x,y,z,xx(*),yy(*),zz(*),interpol_Q1_Y,eval_GY_qi
double precision U(nmz,nmy,nmx)
c
interpol_Q1_Y=0.D0
c
do j=1,8
interpol_Q1_Y=interpol_Q1_Y+u(iz(j),iy(j),ix(j))*
> eval_GY_qi (j,ix,iy,iz,x,y,z,xx,yy,zz)
enddo
c
return
end
C======================================================================C
function interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,x,y,z,xx,yy,zz,U)
C======================================================================C
implicit none
integer nmx,nmy,nmz,j
integer ix(8),iy(8),iz(8)
double precision x,y,z,xx(*),yy(*),zz(*),interpol_Q1_Z,eval_GZ_qi
double precision U(nmz,nmy,nmx)
c
interpol_Q1_Z=0.D0
c
do j=1,8
interpol_Q1_Z=interpol_Q1_Z+u(iz(j),iy(j),ix(j))*
> eval_GZ_qi (j,ix,iy,iz,x,y,z,xx,yy,zz)
enddo
c
return
end
C========================================================================
FUNCTION evalqi (i,ix,iy,iz,x,y,z,a,b,c)
C========================================================================
C
IMPLICIT NONE
INTEGER i,ix(8),iy(8),iz(8)
DOUBLE PRECISION H1,ax,ay,az,bx,by,bz,x,y,z,a(*),b(*),c(*),evalqi
C
evalqi=0.D0
c
ax=a(ix(1))
ay=b(iy(1))
az=c(iz(1))
bx=a(ix(7))
by=b(iy(7))
bz=c(iz(7))
c
H1=1.D0/((bx-ax)*(by-ay)*(bz-az))
c
IF(i.EQ.1) evalqi=H1*(bx-x)*(by-y)*(bz-z)
IF(i.EQ.2) evalqi=H1*(x-ax)*(by-y)*(bz-z)
IF(i.EQ.3) evalqi=H1*(x-ax)*(y-ay)*(bz-z)
IF(i.EQ.4) evalqi=H1*(bx-x)*(y-ay)*(bz-z)
IF(i.EQ.5) evalqi=H1*(bx-x)*(by-y)*(z-az)
IF(i.EQ.6) evalqi=H1*(x-ax)*(by-y)*(z-az)
IF(i.EQ.7) evalqi=H1*(x-ax)*(y-ay)*(z-az)
IF(i.EQ.8) evalqi=H1*(bx-x)*(y-ay)*(z-az)
C
RETURN
END
C========================================================================
SUBROUTINE evalGradQi (i,ix,iy,iz,x,y,z,a,b,c,GradQi)
C========================================================================
C
IMPLICIT NONE
INTEGER i,ix(8),iy(8),iz(8)
DOUBLE PRECISION H1,ax,ay,az,bx,by,bz,x,y,z,a(*),b(*),c(*),
> GradQi(3)
C
GradQi(1)=0.D0 ; GradQi(2)=0.D0 ; GradQi(3)=0.D0
c
ax=a(ix(1))
ay=b(iy(1))
az=c(iz(1))
bx=a(ix(7))
by=b(iy(7))
bz=c(iz(7))
c
H1=1.D0/((bx-ax)*(by-ay)*(bz-az))
c
IF(i.EQ.1) then
GradQi(1)=-H1*(by-y)*(bz-z)
GradQi(2)=-H1*(bx-x)*(bz-z)
GradQi(3)=-H1*(bx-x)*(by-y)
return
endif
IF(i.EQ.2) then
GradQi(1)= H1*(by-y)*(bz-z)
GradQi(2)=-H1*(x-ax)*(bz-z)
GradQi(3)=-H1*(x-ax)*(by-y)
return
endif
IF(i.EQ.3) then
GradQi(1)= H1*(y-ay)*(bz-z)
GradQi(2)= H1*(x-ax)*(bz-z)
GradQi(3)=-H1*(x-ax)*(y-ay)
return
endif
IF(i.EQ.4) then
GradQi(1)=-H1*(y-ay)*(bz-z)
GradQi(2)= H1*(bx-x)*(bz-z)
GradQi(3)=-H1*(bx-x)*(y-ay)
return
endif
IF(i.EQ.5) then
GradQi(1)=-H1*(by-y)*(z-az)
GradQi(2)=-H1*(bx-x)*(z-az)
GradQi(3)= H1*(bx-x)*(by-y)
return
endif
IF(i.EQ.6) then
GradQi(1)= H1*(by-y)*(z-az)
GradQi(2)=-H1*(x-ax)*(z-az)
GradQi(3)= H1*(x-ax)*(by-y)
return
endif
IF(i.EQ.7) then
GradQi(1)= H1*(y-ay)*(z-az)
GradQi(2)= H1*(x-ax)*(z-az)
GradQi(3)= H1*(x-ax)*(y-ay)
return
endif
IF(i.EQ.8) then
GradQi(1)=-H1*(y-ay)*(z-az)
GradQi(2)= H1*(bx-x)*(z-az)
GradQi(3)= H1*(bx-x)*(y-ay)
return
endif
C
RETURN
END
c=================================================================C
C
C-----------------------------------------------------------------C
C--------------------------ROUTINES-------------------------------C
C-----------------------------------------------------------------C
C
c=================================================================C
SUBROUTINE INTERPOL_C(np,ncs,nx,ny,nz,nmx,nmy,nmz,hx,hy,hz,R,
> nrep,num,nums,ax,ay,az,xx,yy,zz,SS,U,uinter)
IMPLICIT NONE
integer nmx,nmy,nmz,nx,ny,nz
INTEGER ncs,i,ii,j,p,np,trans1,i1,i2,ip
INTEGER ix(8),iy(8),iz(8),nrep(*),num(*),nums(8,ncs),knrep
DOUBLE PRECISION evalqi,x,y,z,hx,hy,hz,x1,y1,z1,x3,y3,z3,R,rho,
> xx(*),yy(*),zz(*),SS(3,*),U(nmz,nmy,nmx),uinter(*),
> ax(*),ay(*),az(*)
C
!Le tableau Uinter contient l'interpole de la solutions aux centres
!des elements de gamma et de gamma prime de chaque particule.
!pour une particule p, ces valeurs sont stockees de ceete maniere
!interpole sur gamma <--- Uinter(i), i=2(p-1)ncs+1,.....,(2p-1)ncs
!interpole sur gammaPrime <--- Uinter(i), i=(2p-1)ncs+1,.....,2p*ncs
C
C!interpolation de U sur Gamma!
DO p=1,np
ip=2*(p-1)*ncs
i1=ip+1 ; i2=ip+ncs
DO i=i1,i2
ii=i-ip
x1=SS(1,nums(1,ii))
y1=SS(2,nums(1,ii))
z1=SS(3,nums(1,ii))
x3=SS(1,nums(3,ii))
y3=SS(2,nums(3,ii))
z3=SS(3,nums(3,ii))
c
x=0.5D0*(x1+x3) ; y=0.5D0*(y1+y3) ; z=0.5D0*(z1+z3)
rho=dsqrt(x**2+y**2+z**2)
x=ax(p)+x*R/rho ; y=ay(p)+y*R/rho ; z=az(p)+z*R/rho
c
uinter(i)=0.
trans1=int(ax(p)/hx)+int(ay(p)/hy)*(nx-1)+
> int(az(p)/hz)*(nx-1)*(ny-1)
c
knrep=num(nrep(i-ip)+trans1)
call Coord (knrep,nx,ny,ix,iy,iz)
c
! if((xx(ix(1)).le.x.and.x.le.xx(ix(7))).and. !??????????????
! > (yy(iy(1)).le.y.and.y.le.yy(iy(7))).and.
! > (zz(iz(1)).le.z.and.z.le.zz(iz(7))) ) then
DO j=1,8
Uinter(i)=Uinter(i)+u(iz(j),iy(j),ix(j))*
> evalqi(j,ix,iy,iz,x,y,z,xx,yy,zz)
ENDDO
! else !??????????????
! print*,'Possible error in interpolate_c routine.'
! print*,'Bad localisation in element number ', i, '?'
! print*,'X--->',xx(ix(1)),x,xx(ix(7))
! print*,'Y--->',yy(iy(1)),y,yy(iy(7))
! print*,'Z--->',zz(iz(1)),z,zz(iz(7))
! stop
! endif !??????????????
ENDDO
ENDDO
C!interpolation de U sur Gamma prime!
DO p=1,np
ip=(2*p-1)*ncs
i1=ip+1 ; i2=ip+ncs
DO i=i1,i2
Uinter(i)=0.
ii=i-ip
c
x1=SS(1,nums(1,ii))
y1=SS(2,nums(1,ii))
z1=SS(3,nums(1,ii))
x3=SS(1,nums(3,ii))
y3=SS(2,nums(3,ii))
z3=SS(3,nums(3,ii))
c
x=0.5D0*(x1+x3) ; y=0.5D0*(y1+y3) ; z=0.5D0*(z1+z3)
rho=dsqrt(x**2+y**2+z**2)
x=ax(p)+x*R/rho ; y=ay(p)+y*R/rho ; z=az(p)+z*R/rho
c
trans1=int(ax(p)/hx)+int(ay(p)/hy)*(nx-1)+
> int(az(p)/hz)*(nx-1)*(ny-1)
c
knrep=num(nrep(i-ip)+trans1)
call Coord (knrep,nx,ny,ix,iy,iz)
DO j=1,8
Uinter(i)=Uinter(i)+u(iz(j),iy(j),ix(j))*
> evalqi(j,ix,iy,iz,x,y,z,xx,yy,zz)
ENDDO
ENDDO
ENDDO
C
RETURN
END
C====================================================================C
SUBROUTINE U_Grad (nx,ny,nz,nmx,nmy,nmz,hx,hy,hz,U,
> D_U_X,D_U_Y,D_U_Z )
C====================================================================C
IMPLICIT NONE
INTEGER nx,ny,nz,nmx,nmy,nmz,i,j,k
DOUBLEPRECISION U(nmz,nmy,nmz),D_U_X(nmz,nmy,nmz),
> D_U_Y(nmz,nmy,nmz),D_U_Z(nmz,nmy,nmz),hx,hy,hz
C
! do k=1,nz
! do j=1,ny
! do i=1,nx
! if (i.eq.1) then
! D_U_X(k,j,i)=(U( k , j ,i+1)-U( k , j , i ))/hx
! elseif (i.eq.nx) then
! D_U_X(k,j,i)=(U( k , j ,i )-U( k , j ,i-1))/hx
! else
! D_U_X(k,j,i)=(U( k , j ,i+1)-U( k , j ,i-1))/(2*hx)
! endif
! if (j.eq.1) then
! D_U_Y(k,j,i)=(U( k , j+1 ,i)-U( k , j , i ))/hy
! elseif (j.eq.ny) then
! D_U_Y(k,j,i)=(U( k , j ,i )-U( k , j-1 ,i ))/hy
! else
! D_U_Y(k,j,i)=(U( k ,j+1, i )-U( k ,j-1, i ))/(2*hy)
! endif
! if (k.eq.1) then
! D_U_Z(k,j,i)=(U( k+1 , j ,i)-U( k , j , i ))/hz
! elseif (k.eq.nz) then
! D_U_Z(k,j,i)=(U( k , j ,i )-U( k-1 , j ,i))/hz
! else
! D_U_Z(k,j,i)=(U(k+1, j , i )-U(k-1, j , i ))/(2*hz)
! endif
! end do
! end do
! end do
C
do k=1,nz-1
do j=2,ny-1
do i=2,nx-1
D_U_X(k,j,i)=(U( k , j ,i+1)-U( k , j ,i-1))/(2*hx)
D_U_Y(k,j,i)=(U( k ,j+1, i )-U( k ,j-1, i ))/(2*hy)
if (k.eq.1) then
D_U_Z(k,j,i)=(U(2, j , i )-U(1, j , i ))/(hz)
else
D_U_Z(k,j,i)=(U(k+1, j , i )-U(k-1, j , i ))/(2*hz)
endif
end do
end do
end do
RETURN
END
C===================================================================C
SUBROUTINE PROJECT_GF (nx,ny,nz,px,py,pz,nmx,nmy,nmz,numP,
> x,y,z,xp,yp,zp,Ug,Uf)
C========================================================================
C
IMPLICIT NONE
integer nx,ny,nz,px,py,pz,nmx,nmy,nmz
integer i1,i2,j1,j2,k1,k2,NcP
INTEGER i,j,k,knrep,ix(8),iy(8),iz(8),numP(*)
DOUBLE PRECISION x(*),y(*),z(*),interpol_Q1,a,b,c
double precision xp(*),yp(*),zp(*)
double precision Uf(nmz,nmy,nmx),Ug(nmz,nmy,nmx)
C
NcP=(px-1)*(py-1)*(pz-1)
c
do knrep=1,NcP
call Coord (numP(knrep),px,py,ix,iy,iz)
k1=2*iz(1)-1 ; k2=2*iz(1)+1
j1=2*iy(1)-1 ; j2=2*iy(1)+1
i1=2*ix(1)-1 ; i2=2*ix(1)+1
c
do k=k1,k2
c=z(k)
do j=j1,j2
b=y(j)
do i=i1,i2
a=x(i)
Uf(k,j,i)=interpol_Q1(nmx,nmy,nmz,ix,iy,iz,
> a,b,c,xp,yp,zp,Ug)
enddo
enddo
enddo
enddo
c
RETURN
END
C===========================================================================C
Function Integ_G(ncs, area, DnV)
C===========================================================================C
IMPLICIT NONE
INTEGER ncs,k
DOUBLE PRECISION Integ_G, area(ncs), DnV(*)
C
Integ_G = 0.
do k = 1 , ncs
Integ_G = Integ_G + area(k) * DnV(k)
enddo
C
RETURN
END
C===========================================================================C
subroutine Integ_GP(ncs, area, nums, SS, R, Pinter,
> Integ_GPX,Integ_GPY,Integ_GPZ)
C===========================================================================C
IMPLICIT NONE
INTEGER ncs,k,nums(8,ncs)
doubleprecision SS(3,*)
doubleprecision x,y,z,rho,x1,y1,z1,x3,y3,z3,R
DOUBLE PRECISION Integ_GPX,Integ_GPY,Integ_GPZ
doubleprecision area(ncs), Pinter(*)
C
Integ_GPX = 0. ; Integ_GPY = 0. ; Integ_GPZ = 0.
do k = 1 , ncs
x1=SS(1,nums(1,k))
y1=SS(2,nums(1,k))
z1=SS(3,nums(1,k))
x3=SS(1,nums(3,k))
y3=SS(2,nums(3,k))
z3=SS(3,nums(3,k))
x=0.5D0*(x1+x3) ; y=0.5D0*(y1+y3) ; z=0.5D0*(z1+z3)
rho=dsqrt(x**2+y**2+z**2)
! x=ax(1)+x*R/rho ; y=ay(1)+y*R/rho ; z=az(1)+z*R/rho
x=x*R/rho ; y=y*R/rho ; z=z*R/rho
c
Integ_GPX = Integ_GPX + area(k) * Pinter(k) * x
Integ_GPY = Integ_GPY + area(k) * Pinter(k) * y
Integ_GPZ = Integ_GPZ + area(k) * Pinter(k) * z
c
enddo
C
RETURN
END
C===========================================================================C
SUBROUTINE INTERPOL_S(np,ncs,nss,nx,ny,nz,nmx,nmy,nmz,hx,hy,hz,R,
> nrep,num,nums,ax,ay,az,xx,yy,zz,SS,U,uinter)
C===========================================================================C
IMPLICIT NONE
integer nmx,nmy,nmz,nx,ny,nz
INTEGER ncs,nss,i,ii,j,p,np,trans1,i1,i2,ip
INTEGER ix(8),iy(8),iz(8),nrep(*),num(*),nums(8,ncs),knrep
DOUBLE PRECISION evalqi,x,y,z,hx,hy,hz,R,
> xx(*),yy(*),zz(*),SS(3,*),U(nmz,nmy,nmx),uinter(*),
> ax(*),ay(*),az(*)
C
DO p=1,np
ip=2*(p-1)*nss
i1=ip+1 ; i2=ip+nss
DO i=i1,i2
ii=i-ip
x=ax(p)+SS(1,ii)
y=ay(p)+SS(2,ii)
z=az(p)+SS(3,ii)
c
uinter(i)=0.
trans1=int(ax(p)/hx)+int(ay(p)/hy)*(nx-1)+
> int(az(p)/hz)*(nx-1)*(ny-1)
c
knrep=num(nrep(i-ip)+trans1)
call Coord (knrep,nx,ny,ix,iy,iz)
c
DO j=1,8
Uinter(i)=Uinter(i)+u(iz(j),iy(j),ix(j))*
> evalqi(j,ix,iy,iz,x,y,z,xx,yy,zz)
ENDDO
ENDDO
ENDDO
c
return
end
C=======================================================================C
SUBROUTINE ComputeDivU (nx,ny,nz,nc,nmx,nmy,nmz,
> xp,yp,zp,num,Ux,Uy,Uz,f)
C=======================================================================C
IMPLICIT NONE
INTEGER i,j,k,ks,l,nc,ix(8),iy(8),iz(8),
> ixfd,iyfd,izfd,num(*),nx,ny,nz,nmx,nmy,nmz,
> ixf(8),iyf(8),izf(8)
logical switch
DOUBLEPRECISION F(nmz,nmy,nmx),Ux(nmz,nmy,nmx),Uy(nmz,nmy,nmx),
> Uz(nmz,nmy,nmx),xp(*),yp(*),zp(*)
doubleprecision interpol_Q1_X,interpol_Q1_Y,interpol_Q1_Z
c
DO k=1,nc
c
call Coord (num(k),nx,ny,ix,iy,iz)
c
do ks=1,8
c
ixfd=ix(ks)!-bcP(1) !decalage du a l'elimination des sommets Dirichlet
iyfd=iy(ks)!-bcP(3) !decalage du a l'elimination des sommets Dirichlet
izfd=iz(ks)!-bcP(5) !decalage du a l'elimination des sommets Dirichlet
c
F(izfd,iyfd,ixfd)=
> interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Ux) +
> interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uy) +
> interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uz)
c
!eval_GX_qi (ks,ix,iy,iz,x,y,z,xx,yy,zz)
enddo
enddo
c
RETURN
END
C=======================================================================C
SUBROUTINE ComputeStress (nc,nu,
> dxUx,dyUx,dzUx,dxUy,dyUy,dzUy,dxUz,dyUz,dzUz,
> norx,nory,norz,SigmaX,SigmaY,SigmaZ,diver)
C=======================================================================C
IMPLICIT NONE
INTEGER k,nc
DOUBLEPRECISION nu,dxUx(*),dyUx(*),
> dzUx(*),dxUy(*),dyUy(*),
> dzUy(*),dxUz(*),dyUz(*),
> dzUz(*),diver(*),
> SigmaX(*),SigmaY(*),SigmaZ(*),norx(*),nory(*),norz(*)
c
do k = 1 , nc
SigmaX(k) = nu*( 2.d0*dxUx(k)*norx(k) +
> (dyUx(k) + dxUy(k))*nory(k) +
> (dzUx(k) + dxUz(k))*norz(k) )
c
SigmaY(k) = nu*( 2.d0*dyUy(k)*nory(k) +
> (dxUy(k) + dyUx(k))*norx(k) +
> (dzUy(k) + dyUz(k))*norz(k) )
c
SigmaZ(k) = nu*( 2.d0*dzUz(k)*norz(k) +
> (dxUz(k) + dzUx(k))*norx(k) +
> (dyUz(k) + dzUy(k))*nory(k) )
!!!!!!!!!
diver(k)=dxUx(k) + dyUy(k) + dzUz(k)
enddo
c
RETURN
END
C=======================================================================C
SUBROUTINE xyzDerivatives (nx,ny,nz,nc,nmx,nmy,nmz,
> xp,yp,zp,num,Ux,Uy,Uz,
> dxUx,dyUx,dzUx,dxUy,dyUy,dzUy,dxUz,dyUz,dzUz)
C=======================================================================C
IMPLICIT NONE
INTEGER i,j,k,ks,l,nc,ix(8),iy(8),iz(8),
> ixfd,iyfd,izfd,num(*),nx,ny,nz,nmx,nmy,nmz,
> ixf(8),iyf(8),izf(8)
logical switch
DOUBLEPRECISION Ux(nmz,nmy,nmx),Uy(nmz,nmy,nmx),
> Uz(nmz,nmy,nmx),xp(*),yp(*),zp(*)
doubleprecision dxUx(nmz,nmy,nmx),dyUx(nmz,nmy,nmx),
> dzUx(nmz,nmy,nmx)
doubleprecision dxUy(nmz,nmy,nmx),dyUy(nmz,nmy,nmx),
> dzUy(nmz,nmy,nmx)
doubleprecision dxUz(nmz,nmy,nmx),dyUz(nmz,nmy,nmx),
> dzUz(nmz,nmy,nmx)
doubleprecision interpol_Q1_X,interpol_Q1_Y,interpol_Q1_Z
c
DO k=1,nc
c
call Coord (num(k),nx,ny,ix,iy,iz)
c
do ks=1,8
c
ixfd=ix(ks)!-bcP(1) !decalage du a l'elimination des sommets Dirichlet
iyfd=iy(ks)!-bcP(3) !decalage du a l'elimination des sommets Dirichlet
izfd=iz(ks)!-bcP(5) !decalage du a l'elimination des sommets Dirichlet
ccc--------Ux------------
dxUx(izfd,iyfd,ixfd)=
> interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Ux)
dyUx(izfd,iyfd,ixfd)=
> interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Ux)
dzUx(izfd,iyfd,ixfd)=
> interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Ux)
ccc--------Uy------------
dxUy(izfd,iyfd,ixfd)=
> interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uy)
dyUy(izfd,iyfd,ixfd)=
> interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uy)
dzUy(izfd,iyfd,ixfd)=
> interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uy)
ccc--------Uz------------
dxUz(izfd,iyfd,ixfd)=
> interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uz)
dyUz(izfd,iyfd,ixfd)=
> interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uz)
dzUz(izfd,iyfd,ixfd)=
> interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,Uz)
enddo
enddo
c
RETURN
END
C=======================================================================C
SUBROUTINE gradientPressure (nx,ny,nz,nc,nmx,nmy,nmz,
> xp,yp,zp,num,P,
> dxP,dyP,dzP)
C=======================================================================C
IMPLICIT NONE
INTEGER i,j,k,ks,l,nc,ix(8),iy(8),iz(8),
> ixfd,iyfd,izfd,num(*),nx,ny,nz,nmx,nmy,nmz,
> ixf(8),iyf(8),izf(8)
logical switch
DOUBLEPRECISION xp(*),yp(*),zp(*)
doubleprecision dxP(nmz,nmy,nmx),dyP(nmz,nmy,nmx),
> dzP(nmz,nmy,nmx),P(nmz,nmy,nmx)
doubleprecision interpol_Q1_X,interpol_Q1_Y,interpol_Q1_Z
c
DO k=1,nc
c
call Coord (num(k),nx,ny,ix,iy,iz)
c
do ks=1,8
c
ixfd=ix(ks)!-bcP(1) !decalage du a l'elimination des sommets Dirichlet
iyfd=iy(ks)!-bcP(3) !decalage du a l'elimination des sommets Dirichlet
izfd=iz(ks)!-bcP(5) !decalage du a l'elimination des sommets Dirichlet
ccc--------Ux------------
dxP(izfd,iyfd,ixfd)=
> interpol_Q1_X (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,P)
dyP(izfd,iyfd,ixfd)=
> interpol_Q1_Y (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,P)
dzP(izfd,iyfd,ixfd)=
> interpol_Q1_Z (nmx,nmy,nmz,ix,iy,iz,
> xp(ixfd),yp(iyfd),zp(izfd),xp,yp,zp,P)
enddo
enddo
c
RETURN
END