!#include "dims.h" ! ! This software is part of the NCAR TIE-GCM. Use is governed by the ! Open Source Academic Research License Agreement contained in the file ! tiegcmlicense.txt. ! ! file mud2cr.f ! ! 5/02 B. Foster: ! Use-associate coefficients cee and cofum from dynamo module in tiegcm1 ! (dynamo.F). !---------------------------------------------------------------------------- ! BOP ! !IROUTINE: mudmod ! !INTERFACE: ! subroutine mudmod(pe,jntl,isolve,ier) ! !USES: use pdynamo_module,only: nc,ncee,cee use timing_module,only: timer,timing use init_module,only: istep implicit none ! ! !DESCRIPTION: multigrid solver with modified stencil ! input ! int jntl: error check first (0/1) ! int isolve: type of solver (here 2) ! output ! pe: electric potential ! ier: not converged ier <0 ! am 01/03/22 new version mudpack5.0: ! am 01/04/16 mudpack modified:-residual calculated with unmodified stencils ! converged to same solution as direct solver ! -the number of restriction and prolongation ! mgopt(2) = 3 ! mgopt(3) = 2 ! another possibility would be to use a ! has to be increased in order to get convergence ! another possibility would be to use a ! preconditioner (so far not necessary and therefore ! not implemented) ! -unmodified stencil saved in: ! common/mudmd/cofum(1) ! ! !ARGUMENTS: integer jntl ! error check first integer,intent(in) :: isolve ! type of solver here isolve =0 ! !RETURN VALUE: integer ier ! output: not converged ier < 0 ! ! !REVISION HISTORY: ! 21.02.05 ! ! EOP c c set grid size params c integer iixp,jjyq,iiex,jjey,nnx,nny,llwork parameter (iixp = 5 , jjyq = 3, iiex = 5, jjey = 5 ) parameter (nnx=iixp*2**(iiex-1)+1, nny=jjyq*2**(jjey-1)+1) c c estimate work space for point relaxation (see mud2cr.d) c parameter (llwork=(7*(nnx+2)*(nny+2)+76*nnx*nny)/3 ) real phi(nnx,nny),rhs(nnx,nny),work(llwork) c c put integer and floating point argument names in contiguous c storage for labelling in vectors iprm,fprm c integer iprm(17),mgopt(4) real fprm(6) integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nx,ny, + iguess,maxcy,method,nwork,lwrkqd,itero common/itmud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nx,ny, + iguess,maxcy,method,nwork,lwrkqd,itero real xa,xb,yc,yd,tolmax,relmax common/ftmud2cr/xa,xb,yc,yd,tolmax,relmax equivalence(intl,iprm) equivalence(xa,fprm) integer i,j,ierror ! real PE(NNX,1) real PE(NNX,*) integer maxcya DATA MAXCYA/50/ integer mm,nn,jj,jjj real pi ! write(6,"('Enter mudmod: jntl=',i3)") jntl c c set input integer arguments c MM = NNX NN = NNY PI = 4.*ATAN(1.) C C SET INPUT INTEGER PARAMETERS C INTL = JNTL c c set boundary condition flags c nxa = 0 nxb = 0 nyc = 2 nyd = 1 c c set grid sizes from parameter statements c ixp = iixp jyq = jjyq iex = iiex jey = jjey nx = nnx ny = nny c c set multigrid arguments (w(2,1) cycling with fully weighted c residual restriction and cubic prolongation) c mgopt(1) = 2 mgopt(2) = 3 mgopt(3) = 2 mgopt(4) = 3 c c set for one cycle c maxcy = maxcya c c set no initial guess forcing full multigrid cycling c iguess = 0 c c set work space length approximation from parameter statement c nwork = llwork c c set line z relaxation c method = 3 c c set end points of solution rectangle in (x,y) space c xa = -pi xb = pi yc = 0.0 yd = 0.5*pi c c set error control flag c tolmax = 0.01 c c set right hand side in rhs c initialize phi to zero c do i=1,nx do j=1,ny ! write(6,"('mudmod: j=',i2,' i=',i2,' cee=',e12.4)") ! | j,i,CEE(I+(J-1)*NX+9*NX*NY) RHS(I,J) = CEE(I+(J-1)*NX+9*NX*NY) phi(i,j) = 0.0 end do end do c c set specified boundaries in phi c DO I=1,NX PHI(I,NY) = RHS(I,NY)/CEE(I+(NY-1)*NX+8*NX*NY) END DO ! write(*,100) 100 format(//' mud2cr test ') ! write (*,101) (iprm(i),i=1,15) 101 format(/,' integer input arguments ',/, | ' intl = ',i2,/,' nxa = ',i2,' nxb = ',i2,' nyc = ',i2, | ' nyd = ',i2,/,' ixp = ',i2,' jyq = ',i2,' iex = ',i2, | ' jey = ',i2,/,' nx = ',i3,' ny = ',i3,' iguess = ',i2, | ' maxcy = ',i3,/,' method = ',i2, ' work space estimate = ',i7) ! write (*,102) (mgopt(i),i=1,4) 102 format(/' multigrid option arguments ', | /,' kcycle = ',i2, | /,' iprer = ',i2, | /,' ipost = ',i2 | /,' intpol = ',i2) ! write(*,103) xa,xb,yc,yd,tolmax 103 format(/' floating point input parameters ', | /,' xa = ',f6.3,' xb = ',f6.3,' yc = ',f6.3,' yd = ',f6.3, | /,' tolerance (error control) = ',e10.3) ! write(6,"('fprm(1-5) (xa,xb,yc,yd,tolmax=',6f8.3)") fprm(1:5) c c intialization call c ! write(*,104) intl 104 format(/' discretization call to mud2cr', ' intl = ', i2) call mud2cm(iprm,fprm,work,rhs,phi,mgopt,ierror,isolve) ! write (*,200) ierror,iprm(16) 200 format(' ierror = ',i2, ' minimum work space = ',i7) if (ierror.gt.0) call exit(0) c c attempt solution c intl = 1 ! write(*,106) intl,method,iguess 106 format(/' approximation call to mud2cr', +/' intl = ',i2, ' method = ',i2,' iguess = ',i2) call mud2cm(iprm,fprm,work,rhs,phi,mgopt,ierror,isolve) ier = ierror ! ier < 0 not converged if(ier < 0 ) goto 108 ! write (*,107) ierror 107 format(' ierror = ',i2) if (ierror.gt.0) call exit(0) C C COPY PHI TO PE C DO J = 1,NY JJ = NY+J-1 JJJ = NY+1-J DO I = 1,NX PE(I,JJ) = PHI(I,J) PE(I,JJJ) = PHI(I,J) END DO END DO 108 continue end C------------------------------------------------------------------- subroutine mud2cm(iparm,fparm,work,rhs,phi,mgopt, + ierror,isolve) implicit none integer,intent(in) :: isolve integer iparm,mgopt,ierror integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess, + maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur, + kcycle,iprer,ipost,intpol,kps real fparm,xa,xb,yc,yd,tolmax,relmax integer kpbgn,kcbgn,ktxbgn,ktybgn,nxk,nyk,isx,jsy integer int,iw,k,kb,nx,ny,ic,itx,ity dimension iparm(17),fparm(6),mgopt(4) real work(*),phi(*),rhs(*) common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy, + iguess, maxcy,method,nwork,lwork,itero,ngrid, + klevel,kcur,kcycle,iprer,ipost,intpol,kps common/fmud2cr/xa,xb,yc,yd,tolmax,relmax common/mud2crc/kpbgn(50),kcbgn(50),ktxbgn(50),ktybgn(50), +nxk(50),nyk(50),isx,jsy data int / 0 / save int ! write(6,"('Enter mud2cm')") ierror = 1 intl = iparm(1) ! set and check intl on all calls if (intl*(intl-1).ne.0) return if (int.eq.0) then int = 1 if (intl.ne.0) return ! very first call is not intl=0 end if ierror = 0 c c set arguments internally c these will not be rechecked if intl=1! c nxa = iparm(2) nxb = iparm(3) nyc = iparm(4) nyd = iparm(5) ixp = iparm(6) jyq = iparm(7) iex = iparm(8) jey = iparm(9) ngrid = max0(iex,jey) nfx = iparm(10) nfy = iparm(11) iguess = iparm(12) maxcy = iparm(13) method = iparm(14) nwork = iparm(15) kcycle = mgopt(1) if (kcycle .eq. 0) then c set defaults kcycle = 2 iprer = 2 ipost = 1 intpol = 3 else iprer = mgopt(2) ipost = mgopt(3) intpol = mgopt(4) end if xa = fparm(1) xb = fparm(2) yc = fparm(3) yd = fparm(4) tolmax = fparm(5) if (intl .eq. 0) then ! intialization call c c check input arguments c ierror = 2 ! check boundary condition flags if (max0(nxa,nxb,nyc,nyd).gt.2) return if (min0(nxa,nxb,nyc,nyd).lt.0) return if (nxa.eq.0.and.nxb.ne.0) return if (nxa.ne.0.and.nxb.eq.0) return if (nyc.eq.0.and.nyd.ne.0) return if (nyc.ne.0.and.nyd.eq.0) return ierror = 3 ! check grid sizes if (ixp.lt.2) return if (jyq.lt.2) return ierror = 4 ngrid = max0(iex,jey) if (iex.lt.1) return if (jey.lt.1) return if (ngrid.gt.50) return ierror = 5 if (nfx.ne.ixp*2**(iex-1)+1) return if (nfy.ne.jyq*2**(jey-1)+1) return ierror = 6 if (iguess*(iguess-1).ne.0) return ierror = 7 if (maxcy.lt.1) return ierror = 8 if (method.lt.0 .or. method.gt.3) return ierror = 9 c compute and test minimum work space isx = 0 if (method.eq.1 .or. method.eq.3) then if (nxa.ne.0) isx = 3 if (nxa.eq.0) isx = 5 end if jsy = 0 if (method.eq.2 .or. method.eq.3) then if (nyc.ne.0) jsy = 3 if (nyc.eq.0) jsy = 5 end if kps = 1 do k=1,ngrid c set subgrid sizes nxk(k) = ixp*2**(max0(k+iex-ngrid,1)-1)+1 nyk(k) = jyq*2**(max0(k+jey-ngrid,1)-1)+1 nx = nxk(k) ny = nyk(k) kps = kps+(nx+2)*(ny+2)+nx*ny*(10+isx+jsy) end do iparm(16) = kps+(nfx+2)*(nfy+2) ! exact minimum work space lwork = iparm(16) if (lwork .gt. nwork) return ierror = 10 ! check solution region if (xb.le.xa .or. yd.le.yc) return ierror = 11 if (tolmax .lt. 0.0) return ierror = 12 ! multigrid parameters if (kcycle.lt.0) return if (min0(iprer,ipost).lt.1) return if ((intpol-1)*(intpol-3).ne.0) return if (max0(kcycle,iprer,ipost).gt.2) then ierror = -5 ! inefficient multigrid cycling end if if (ierror .gt. 0) ierror = 0 ! no fatal errors c c set work space pointers and discretize pde at each grid level c iw = 1 do kb=1,ngrid k = ngrid-kb+1 nx = nxk(k) ny = nyk(k) kpbgn(k) = iw kcbgn(k) = kpbgn(k)+(nx+2)*(ny+2) ktxbgn(k) = kcbgn(k)+10*nx*ny ktybgn(k) = ktxbgn(k)+isx*nx*ny iw = ktybgn(k)+jsy*nx*ny ic = kcbgn(k) itx = ktxbgn(k) ity = ktybgn(k) klevel = k call dismd2cr(nx,ny,work(ic),work(itx),work(ity), + work,ierror,isolve) end do return end if ! end of intl=0 initialization call block nx = nfx ny = nfy call mud2c1m(nx,ny,rhs,phi,work) iparm(17) = itero if (tolmax.gt.0.0) then ! check for convergence fparm(6) = relmax if (relmax.gt.tolmax) then ! ierror = -1 ! flag convergenc failure write(6,*) "no convergence with mudmod" ! iguess = 1 iparm(12)= iguess call mud2cr1(nx,ny,rhs,phi,work) ! solve with modified stencils fparm(6) = relmax if (relmax.gt.tolmax) then write(6,*) "no convergence with mud" ierror = -1 ! flag convergenc failure end if end if end if return end c------------------------------------------------------------------------ subroutine mud2c1m(nx,ny,rhsf,phif,wk) implicit none integer nx,ny real phif(nx,ny),rhsf(nx,ny),wk(*) integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess, + maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur, + kcycle,iprer,ipost,intpol,kps real xa,xb,yc,yd,tolmax,relmax,phmax integer kpbgn,kcbgn,ktxbgn,ktybgn,nxk,nyk,isx,jsy integer k,kb,ip,ic,ir,ipc,irc,icc integer ncx,ncy,jj,ij,i,j,iter integer iw,itx,ity,ierror common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy, + iguess, maxcy,method,nwork,lwork,itero,ngrid, + klevel,kcur,kcycle,iprer,ipost,intpol,kps common/fmud2cr/xa,xb,yc,yd,tolmax,relmax common/mud2crc/kpbgn(50),kcbgn(50),ktxbgn(50),ktybgn(50), +nxk(50),nyk(50),isx,jsy ! write(6,"('Enter mud2c1m')") nx = nxk(ngrid) ny = nyk(ngrid) ip = kpbgn(ngrid) ic = kcbgn(ngrid) ir = ic+9*nx*ny c c set phif,rhsf in wk and adjust right hand side c call swk2(nx,ny,phif,rhsf,wk(ip),wk(ir)) if (iguess.eq.0) then c c no initial guess at finest grid level! c do kb=2,ngrid k = ngrid-kb+1 nx = nxk(k+1) ny = nyk(k+1) ip = kpbgn(k+1) ir = kcbgn(k+1)+9*nx*ny ncx = nxk(k) ncy = nyk(k) ipc = kpbgn(k) icc = kcbgn(k) irc = icc+9*ncx*ncy c c transfer down to all grid levels c call trsfc2(nx,ny,wk(ip),wk(ir),ncx,ncy, + wk(ipc),wk(irc)) end do c c adjust right hand side at all grid levels in case c rhs or specified b.c. in phi or gbdy changed c do k=1,ngrid nx = nxk(k) ny = nyk(k) ip = kpbgn(k) ic = kcbgn(k) call adjmd2cr(nx,ny,wk(ip),wk(ic)) end do c c execute one full multigrid cycle c do k=1,ngrid-1 kcur = k call kcymd2cr(wk) nx = nxk(k+1) ny = nyk(k+1) ip = kpbgn(k+1) ipc = kpbgn(k) ncx = nxk(k) ncy = nyk(k) c c lift or prolong approximation from k to k+1 c call prolon2(ncx,ncy,wk(ipc),nx,ny,wk(ip),nxa,nxb, + nyc,nyd,intpol) end do else c c adjust rhs at finest grid level only c nx = nxk(ngrid) ny = nyk(ngrid) ip = kpbgn(ngrid) ic = kcbgn(ngrid) call adjmd2cr(nx,ny,wk(ip),wk(ic)) end if c c execute maxcy more multigrid k cycles from finest level c kcur = ngrid do iter=1,maxcy itero = iter call kcym2cm(wk) if (tolmax.gt.0.0) then c c error control c relmax = 0.0 phmax = 0.0 do j=1,nfy jj = j*(nfx+2) do i=1,nfx ij = jj+i+1 phmax = max(phmax,abs(wk(ij))) relmax = max(relmax,abs(wk(ij)-phif(i,j))) phif(i,j) = wk(ij) end do end do c c set maximum relative difference and check for convergence c if (phmax.gt.0.0) relmax = relmax/phmax if (relmax.le.tolmax) return end if end do c c set final interate after maxcy cycles in phif c do j=1,nfy jj = j*(nfx+2) do i=1,nfx ij = jj+i+1 phif(i,j) = wk(ij) end do end do return end c------------------------------------------------------------------------ subroutine kcym2cm(wk) use pdynamo_module,only: cofum c c execute multigrid k cycle from kcur grid level c kcycle=1 for v cycles, kcycle=2 for w cycles c implicit none real wk(*) integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess, + maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur, + kcycle,iprer,ipost,intpol,kps integer nx,ny,ip,ic,ipc,irc,itx,ity,ncx,ncy,l,nrel real xa,xb,yc,yd,tolmax,relmax integer kpbgn,kcbgn,ktxbgn,ktybgn,nxk,nyk,isx,jsy common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy, + iguess, maxcy,method,nwork,lwork,itero,ngrid, + klevel,kcur,kcycle,iprer,ipost,intpol,kps common/fmud2cr/xa,xb,yc,yd,tolmax,relmax common/mud2crc/kpbgn(50),kcbgn(50),ktxbgn(50),ktybgn(50), +nxk(50),nyk(50),isx,jsy integer kount(50) ! real :: cofum ! common/mudmd/cofum(1) klevel = kcur nx = nxk(klevel) ny = nyk(klevel) ip = kpbgn(klevel) ic = kcbgn(klevel) itx = ktxbgn(klevel) ity = ktybgn(klevel) c c prerelax at current finest grid level c do l=1,iprer call relmd2cr(nx,ny,wk(ip),wk(ic),wk(itx),wk(ity),wk(kps)) end do if (kcur .eq. 1) go to 5 c c restrict residual to kcur-1 level c ipc = kpbgn(klevel-1) ncx = nxk(klevel-1) ncy = nyk(klevel-1) irc = kcbgn(klevel-1)+9*ncx*ncy c call resmd2cr(nx,ny,wk(ip),ncx,ncy,wk(ipc),wk(irc),wk(ic),wk(kps)) call resm2cm(nx,ny,wk(ip),ncx,ncy,wk(ipc),wk(irc),wk(ic), | wk(kps),cofum) ! | wk(kps),cofum(1)) c c set counter for grid levels to zero c do l = 1,kcur kount(l) = 0 end do c c set new grid level and continue k-cycling c klevel = kcur-1 nrel = iprer c c kcycle control point c 10 continue c c post relax when kcur revisited c if (klevel .eq. kcur) go to 5 c c count hit at current level c kount(klevel) = kount(klevel)+1 c c relax at current level c nx = nxk(klevel) ny = nyk(klevel) ip = kpbgn(klevel) ic = kcbgn(klevel) itx = ktxbgn(klevel) ity = ktybgn(klevel) do l=1,nrel call relmd2cr(nx,ny,wk(ip),wk(ic),wk(itx),wk(ity),wk(kps)) end do if (kount(klevel) .eq. kcycle+1) then c c kcycle complete at klevel c ipc = ip ip = kpbgn(klevel+1) ncx = nxk(klevel) ncy = nyk(klevel) nx = nxk(klevel+1) ny = nyk(klevel+1) c c inject correction to finer grid c call cor2(nx,ny,wk(ip),ncx,ncy,wk(ipc),nxa,nxb,nyc,nyd, + intpol,wk(kps)) c c reset counter to zero c kount(klevel) = 0 c c ascend to next higher level and set to postrelax there c klevel = klevel+1 nrel = ipost go to 10 else if (klevel .gt. 1) then c c kcycle not complete so descend unless at coarsest grid c ipc = kpbgn(klevel-1) ncx = nxk(klevel-1) ncy = nyk(klevel-1) irc = kcbgn(klevel-1)+9*ncx*ncy call resmd2cr(nx,ny,wk(ip),ncx,ncy,wk(ipc),wk(irc),wk(ic), + wk(kps)) c c prerelax at next coarser level c klevel = klevel-1 nrel = iprer go to 10 else c c postrelax at coarsest level c do l=1,ipost call relmd2cr(nx,ny,wk(ip),wk(ic),wk(itx),wk(ity),wk(kps)) end do ipc = ip ip = kpbgn(2) ncx = nxk(1) ncy = nyk(1) nx = nxk(2) ny = nyk(2) c c inject correction to level 2 c call cor2(nx,ny,wk(ip),ncx,ncy,wk(ipc),nxa,nxb,nyc,nyd, + intpol,wk(kps)) c c set to postrelax at level 2 c nrel = ipost klevel = 2 go to 10 end if end if 5 continue c c post relax at current finest grid level c nx = nxk(kcur) ny = nyk(kcur) ip = kpbgn(kcur) ic = kcbgn(kcur) itx = ktxbgn(kcur) ity = ktybgn(kcur) do l=1,ipost call relmd2cr(nx,ny,wk(ip),wk(ic),wk(itx),wk(ity),wk(kps)) end do return end c---------------------------------------------------------------------- subroutine resm2cm(nx,ny,phi,ncx,ncy,phic,rhsc,cof,resf,cofum) c c restrict residual from fine to coarse mesh using fully weighted c residual restriction c implicit none integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess, + maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur, + kcycle,iprer,ipost,intpol,kps integer nx,ny,ncx,ncy,i,j,ic,jc common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy, + iguess, maxcy,method,nwork,lwork,itero,ngrid, + klevel,kcur,kcycle,iprer,ipost,intpol,kps real rhsc(ncx,ncy),resf(nx,ny) real phi(0:nx+1,0:ny+1),phic(0:ncx+1,0:ncy+1) real cof(nx,ny,10),cofum(nx,ny,9) c c set phic zero c do jc=0,ncy+1 do ic=0,ncx+1 phic(ic,jc) = 0.0 end do end do call bnd2cm(nx,ny,cofum) c c compute residual on fine mesh in resf c !$OMP PARALLEL DO SHARED(resf,cof,phi,nx,ny) PRIVATE(i,j) do j=1,ny do i=1,nx ! resf(i,j) = cof(i,j,10)-( ! + cof(i,j,1)*phi(i+1,j)+ ! + cof(i,j,2)*phi(i+1,j+1)+ ! + cof(i,j,3)*phi(i,j+1)+ ! + cof(i,j,4)*phi(i-1,j+1)+ ! + cof(i,j,5)*phi(i-1,j)+ ! + cof(i,j,6)*phi(i-1,j-1)+ ! + cof(i,j,7)*phi(i,j-1)+ ! + cof(i,j,8)*phi(i+1,j-1)+ ! + cof(i,j,9)*phi(i,j)) resf(i,j) = cof(i,j,10)-( + cofum(i,j,1)*phi(i+1,j)+ + cofum(i,j,2)*phi(i+1,j+1)+ + cofum(i,j,3)*phi(i,j+1)+ + cofum(i,j,4)*phi(i-1,j+1)+ + cofum(i,j,5)*phi(i-1,j)+ + cofum(i,j,6)*phi(i-1,j-1)+ + cofum(i,j,7)*phi(i,j-1)+ + cofum(i,j,8)*phi(i+1,j-1)+ + cofum(i,j,9)*phi(i,j)) end do ! do i=1,9 ! write(6,"('resm2cm: j=',i3,' i=',i3,' cofum(:,j,i)=',/, ! | (6e12.4))") j,i,cofum(:,j,i) ! enddo end do c c restrict resf to coarse mesh in rhsc c call res2(nx,ny,resf,ncx,ncy,rhsc,nxa,nxb,nyc,nyd) return end c----------------------------------------------------------------------- subroutine bnd2cm(nx,ny,cf) c c set stencil & boundary condition for finest stencil c implicit none integer intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy,iguess, + maxcy,method,nwork,lwork,itero,ngrid,klevel,kcur, + kcycle,iprer,ipost,intpol,kps real xa,xb,yc,yd,tolmax,relmax integer nx,ny,i,j,kbdy,l,im1,jm1,ier,jc,nnx,nny real cf(nx,ny,*) real dlx,dlx2,dlxx,dly,dly2,dlyy,cmin,alfmax,cemax common/imud2cr/intl,nxa,nxb,nyc,nyd,ixp,jyq,iex,jey,nfx,nfy, + iguess, maxcy,method,nwork,lwork,itero,ngrid, + klevel,kcur,kcycle,iprer,ipost,intpol,kps common/fmud2cr/xa,xb,yc,yd,tolmax,relmax c c set coefficient for specified boundaries c if (nxa.eq.1) then i = 1 do j=1,ny do l=1,9 cf(i,j,l) = 0.0 end do cf(i,j,9) = 1.0 end do end if if (nxb.eq.1) then i = nx do j=1,ny do l=1,9 cf(i,j,l) = 0.0 end do cf(i,j,9) = 1.0 end do end if if (nyc.eq.1) then j = 1 do i=1,nx do l=1,9 cf(i,j,l) = 0.0 end do cf(i,j,9) = 1.0 end do end if if (nyd.eq.1) then j = ny do i=1,nx do l=1,9 cf(i,j,l) = 0.0 end do cf(i,j,9) = 1.0 end do end if c return end