316 lines
8.1 KiB
Text
316 lines
8.1 KiB
Text
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c These subroutines control the velocity of exterior nodes in the
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c ALE adaptive mesh domain for 3D uniform corrosion analysis.
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c Author: J. Grogan - BMEC, NUI Galway. Created: 19/09/2012
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c ------------------------------------------------------------------
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c SUB UEXTERNALDB: This is used only at the begining of an analysis.
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c It populates the 'facet' and 'nbr' common block arrays.
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subroutine uexternaldb(lop,lrestart,time,dtime,kstep,kinc)
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include 'aba_param.inc'
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c Common Block Declarations
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parameter (maxNodes=700000,maxFacets=700000)
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integer nbr(maxNodes,5),facet(maxFacets,12)
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real crd(maxNodes,3)
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common nbr,facet,crd
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c Other Declarations
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integer n(8)
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character*256 outdir
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c
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if(lop==0.or.lop==4)then
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call getoutdir(outdir,lenoutdir)
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nbr=0
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open(unit=101,file=outdir(1:lenoutdir)//'\nodedata.inc',
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1 status='old')
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read(101,*)numfaces
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do i=1,4*numfaces,4
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read(101,*)nfix,n(1),n(2),n(3),n(4),n(5),n(6),n(7),n(8)
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c facet(*,12)=fized face flag, facet(*,4-11)=element nodes
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do j=1,4
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ind=i+j-1
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facet(ind,12)=nfix
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do k=1,8
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facet(ind,3+k)=n(k)
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enddo
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enddo
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do j=1,4
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ind=i+j-1
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c facet(*,1-3)=nodes in facet
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read(101,*)facet(ind,1),facet(ind,2),facet(ind,3)
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node=facet(ind,1)
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c nbr(node,1)=counter for facets per node
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if(nbr(node,1)==0)nbr(node,1)=1
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nbr(node,1)=nbr(node,1)+1
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c nbr(node,>1)=facet number
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nbr(node,nbr(node,1))=ind
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enddo
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enddo
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close(unit=101)
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endif
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return
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end
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c ------------------------------------------------------------------
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c SUB UFIELD: This is used at the start of each analysis increment.
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c It populates the 'crd' common block array.
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subroutine ufield(field,kfield,nsecpt,kstep,kinc,time,node,
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1 coords,temp,dtemp,nfield)
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include 'aba_param.inc'
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dimension coords(3)
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c Common Block Declarations
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parameter (maxNodes=700000,maxFacets=700000)
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integer nbr(maxNodes,5),facet(maxFacets,12)
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real crd(maxNodes,3)
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common nbr,facet,crd
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c
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crd(node,1)=coords(1)
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crd(node,2)=coords(2)
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crd(node,3)=coords(3)
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return
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end
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c ------------------------------------------------------------------
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c SUB UMESHMOTION: This is used at the start of each mesh sweep.
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c It calculates the velocity of each node in the local coord system.
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subroutine umeshmotion(uref,ulocal,node,nndof,lnodetype,alocal,
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$ ndim,time,dtime,pnewdt,kstep,kinc,kmeshsweep,jmatyp,jgvblock,
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$ lsmooth)
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include 'aba_param.inc'
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c user defined dimension statements
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dimension ulocal(*),uglobal(ndim),tlocal(ndim)
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dimension alocal(ndim,*),time(2)
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c Common Block Declarations
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parameter (maxNodes=700000,maxFacets=700000)
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integer nbr(maxNodes,5),facet(maxFacets,12)
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real crd(maxNodes,3)
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common nbr,facet,crd
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c Other Declarations
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integer np(3)
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real fp(6,9),fc(6,3),fe(6,3),fn(6,3),a(3),b(3),c(3),d(3),q(3)
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real qnew(3),cp1(3),cp2(3),cp3(3)
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if(lnodetype>=3.and.lnodetype<=5)then
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C PRINT *,NODE,'IN'
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c Analysis Parameters
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velocity=0.0d0
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tol=1.d-5
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c
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numFacets=nbr(node,1)-1
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c get facet point coords (fp).
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do i=1,numFacets
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nFacet=nbr(node,i+1)
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do j=1,3
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nNode=facet(nFacet,j)
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if (j==1)nnode=node
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do k=1,3
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fp(i,3*(j-1)+k)=crd(nNode,k)
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enddo
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c print *,node,nNode
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c print *,crd(nNode,1),crd(nNode,2),crd(nNode,3)
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enddo
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enddo
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c get facet element centroid(fe)
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fe=0.
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do i=1,numFacets
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nFacet=nbr(node,i+1)
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do j=1,8
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nNode=facet(nFacet,j+3)
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do k=1,3
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fe(i,k)=fe(i,k)+crd(nNode,k)/8.
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enddo
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enddo
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enddo
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c get facet centroids (fc)
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do i=1,numFacets
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do j=1,3
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fc(i,j)=(fp(i,j)+fp(i,j+3)+fp(i,j+6))/3.
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enddo
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enddo
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c get facet normals (fn)
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do i=1,numFacets
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do j=1,3
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a(j)=fp(i,j+3)-fp(i,j)
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b(j)=fp(i,j+6)-fp(i,j)
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enddo
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call crossprod(a,b,c)
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rlen=sqrt(c(1)*c(1)+c(2)*c(2)+c(3)*c(3))
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c get inward pointing unit normal
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dp=0.
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do j=1,3
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dp=dp+c(j)*(fe(i,j)-fc(i,j))
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enddo
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rsign=1
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if(dp<0.)rsign=-1
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do j=1,3
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fn(i,j)=rsign*c(j)/rlen
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enddo
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enddo
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c move non-fixed facets along unit normals - update fp
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dist=velocity*dtime
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do i=1,numFacets
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nFacet=nbr(node,i+1)
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if(facet(nFacet,12)/=1)then
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do j=1,3
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fp(i,j)=fp(i,j)+fn(i,j)*dist
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fp(i,j+3)=fp(i,j+3)+fn(i,j)*dist
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fp(i,j+6)=fp(i,j+6)+fn(i,j)*dist
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enddo
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endif
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enddo
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c get old node position (q)
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do i=1,3
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q(i)=crd(node,i)
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enddo
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c determine method to get qnew and relevant planes
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c method depends on # of unique normal directions
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numpairs=0
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if(numfacets==1)then
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method=1
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else
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numdir=0
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do i=1,numfacets-1
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do j=i+1,numfacets
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dp=0.
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do k=1,3
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dp=dp+fn(i,k)*fn(j,k)
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enddo
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if(abs(dp)<1.-tol.or.abs(dp)>1.+tol)then
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np(1)=i
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np(2)=j
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numdir=2
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endif
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if (numdir==2)continue
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enddo
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if(numdir==2)continue
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enddo
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if(numdir==2)then
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method=3
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do i=1,numfacets
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if(i/=np(1).and.i/=np(2))then
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dp1=0.
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dp2=0.
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do j=1,3
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dp1=dp1+fn(np(1),j)*fn(i,j)
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dp2=dp2+fn(np(2),j)*fn(i,j)
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enddo
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if(abs(dp1)<1.-tol.or.abs(dp1)>1.+tol)then
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if(abs(dp2)<1.-tol.or.
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$ abs(dp2)>1.+tol)then
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np(3)=i
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numdir=3
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method=2
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endif
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endif
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endif
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enddo
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else
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method=1
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endif
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endif
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c Get new node position
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if(method==1)then
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c get projection of old point q onto any plane
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c qnew = q - ((q - p1).n)*n
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dp=0.
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do i=1,3
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dp=dp+(q(i)-fp(1,i))*fn(1,i)
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enddo
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do i=1,3
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qnew(i)=q(i)-dp*fn(1,i)
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enddo
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elseif(method==2)then
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c get distances d from each plane to origin
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do i=1,3
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d(i)=0.
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do j=1,3
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d(i)=d(i)-fn(np(i),j)*fp(np(i),j)
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enddo
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enddo
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c get n1 x n2
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do i=1,3
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a(i)=fn(np(1),i)
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b(i)=fn(np(2),i)
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enddo
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call crossprod(a,b,cp1)
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c get n2 x n3
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do i=1,3
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a(i)=fn(np(2),i)
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b(i)=fn(np(3),i)
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enddo
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call crossprod(a,b,cp2)
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c get n3 x n1
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do i=1,3
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a(i)=fn(np(3),i)
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b(i)=fn(np(1),i)
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enddo
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call crossprod(a,b,cp3)
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c get intersection of 3 planes
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c qnew = (-d1(n2 x n3)-d2(n3 x n1)-d3(n1 x n2))/(n1.(n2 x n3))
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denom=fn(np(1),1)*cp2(1)+fn(np(1),2)*cp2(2)
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$ +fn(np(1),3)*cp2(3)
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do i=1,3
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qnew(i)=-(d(1)*cp2(i)+d(2)*cp3(i)+d(3)*cp1(i))
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$ /denom
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enddo
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else
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c find line of intersection of planes given by a point
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c and vector
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do i=1,2
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d(i)=0.
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do j=1,3
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d(i)=d(i)-fn(np(i),j)*fp(np(i),j)
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enddo
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enddo
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c get n1 x n2
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do i=1,3
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a(i)=fn(np(1),i)
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b(i)=fn(np(2),i)
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enddo
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call crossprod(a,b,cp1)
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rlen=sqrt(cp1(1)*cp1(1)+cp1(2)*cp1(2)+cp1(3)*cp1(3))
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do i=1,3
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a(i)=d(2)*fn(np(1),i)-d(1)*fn(np(2),i)
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enddo
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c get (d2n1 - d1n2) x (n1 x n2)
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call crossprod(a,cp1,cp2)
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c a = unit vector along line
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c b = point on line
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do i=1,3
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a(i)=cp1(i)/rlen
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b(i)=cp2(i)/(rlen*rlen)
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enddo
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c get projection of node onto line
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c bq'=((bq).a)*a
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dp=0.
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do i=1,3
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dp=dp+(q(i)-b(i))*a(i)
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enddo
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do i=1,3
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qnew(i)=b(i)+dp*a(i)
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enddo
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endif
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do i=1,3
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a(i)=(qnew(i)-q(i))/dtime
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enddo
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c print *,node,a(1),a(2),a(3)
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do i=1,3
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uglobal(i) = a(i)
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enddo
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do i=1,ndim
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tlocal(i)=0.
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do j=1,ndim
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tlocal(i)=tlocal(i)+uglobal(j)*alocal(j,i)
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enddo
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enddo
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do i=1,ndim
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ulocal(i)=tlocal(i)
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enddo
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endif
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lsmooth=1
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return
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end
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c Return cross product(c) for input vectors (a, b)
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subroutine crossprod(a,b,c)
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include 'aba_param.inc'
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real a(3),b(3),c(3)
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c(1)=a(2)*b(3)-a(3)*b(2)
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c(2)=a(3)*b(1)-a(1)*b(3)
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c(3)=a(1)*b(2)-a(2)*b(1)
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return
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end
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