484 lines
13 KiB
Text
484 lines
13 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=40000,maxFacets=100000)
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integer ndata(maxNodes,2),facet(maxFacets,18)
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real crd(maxNodes,3),tmp(maxNodes)
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common ndata,facet,crd,tmp
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c Other Declarations
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integer n(16)
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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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open(unit=101,file=outdir(1:lenoutdir)//'/NodeData4.inc',
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1 status='old')
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read(101,*)numNodes
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ntotalFacets=1
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do i=1,numNodes
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read(101,*)nodeLabel,numFacets
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ndata(nodeLabel,1)=ntotalFacets
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ndata(nodeLabel,2)=numFacets
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do j=1,numFacets
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read(101,*)nbr1,nbr2
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read(101,*)n(1),n(2),n(3),n(4),n(5),n(6),n(7),n(8)
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read(101,*)n(9),n(10),n(11),n(12),n(13),n(14),n(15),n(16)
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facet(ntotalFacets-1+j,1)=nbr1
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facet(ntotalFacets-1+j,2)=nbr2
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do k=3,18
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facet(ntotalFacets-1+j,k)=n(k-2)
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enddo
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enddo
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ntotalFacets=ntotalFacets+numFacets
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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),TEMP(NSECPT)
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c Common Block Declarations
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parameter (maxNodes=40000,maxFacets=100000)
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integer ndata(maxNodes,2),facet(maxFacets,18)
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real crd(maxNodes,3),tmp(maxNodes)
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common ndata,facet,crd,tmp
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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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tmp(node)=temp(1)
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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=40000,maxFacets=100000)
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integer ndata(maxNodes,2),facet(maxFacets,18)
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real crd(maxNodes,3),tmp(maxNodes)
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common ndata,facet,crd,tmp
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c Other Declarations
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integer np(3)
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real fp(4,9),fc(4,3),fe(4,3),fn(4,3),a(3),b(3),Amat(4,4)
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real c(3),d(3),q(3),qnew(3),cp1(3),cp2(3),cp3(3),dist(4)
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real pt(3),qd(3,2),p1(3),p2(3),rn(8,4)
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integer flabel(10,3)
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if(lnodetype>=3.and.lnodetype<=5)then
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c print *,node,time(1),'in'
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c Analysis Parameters
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tol=1.d-5
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numFacets=ndata(node,2)
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c get facet point coords (fp).
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do i=1,numFacets
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nFacet=ndata(node,1)-1+i
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nbr1=facet(nFacet,1)
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nbr2=facet(nFacet,2)
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do k=1,3
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fp(i,k)=crd(node,k)
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fp(i,k+3)=crd(nbr1,k)
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fp(i,k+6)=crd(nbr2,k)
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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.d0
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do i=1,numFacets
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nFacet=ndata(node,1)-1+i
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do j=1,8
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nNode=facet(nFacet,j+10)
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do k=1,3
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fe(i,k)=fe(i,k)+crd(nNode,k)/8.d0
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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.d0
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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.d0
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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 get facet velocity
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c PNEWDT=10000.
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if_check=0
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do i=1,numFacets
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nFacet=ndata(node,1)-1+i
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c check if facet has neighbours
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if(Facet(nFacet,3)==0)then
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dist(i)=0.d0
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else
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do j=1,8
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rn(j,1)=crd(Facet(nFacet,2+j),1)
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rn(j,2)=crd(Facet(nFacet,2+j),2)
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rn(j,3)=crd(Facet(nFacet,2+j),3)
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rn(j,4)=tmp(Facet(nFacet,2+j))
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enddo
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call getFlabels(flabel)
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do j=1,10
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label1=flabel(j,1)
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label2=flabel(j,2)
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label3=flabel(j,3)
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do k=1,3
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Amat(1,k)=1.d0
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enddo
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Amat(1,4)=0.d0
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do k=1,3
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Amat(k+1,1)=rn(label1,k)
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Amat(k+1,2)=rn(label2,k)
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Amat(k+1,3)=rn(label3,k)
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Amat(k+1,4)=fn(i,k)
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enddo
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call getDet(Amat,Det1)
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if (Det1==0)cycle
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Amat(1,4)=1.d0
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do k=1,3
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Amat(k+1,4)=fc(i,k)
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enddo
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call getDet(Amat,Det2)
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t=-det2/det1
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do k=1,3
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pt(k)=fc(i,k)+fn(i,k)*t
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p1(k)=rn(label1,k)
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p2(k)=rn(label2,k)
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enddo
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call getDist(p1,p2,d21)
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do k=1,3
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p1(k)=rn(label1,k)
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p2(k)=rn(label3,k)
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enddo
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call getDist(p1,p2,d31)
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do k=1,3
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p1(k)=rn(label2,k)
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p2(k)=rn(label3,k)
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enddo
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call getDist(p1,p2,d23)
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qd(1,1)=0.d0
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qd(1,2)=0.d0
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qd(2,1)=sqrt(d21)
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qd(2,2)=0.d0
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qd(3,1)=(d21-d23+d31)/(2.d0*sqrt(d21))
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term=4.d0*d21*d31-(d21-d23+d31)**2
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qd(3,2)=sqrt(term/(4.d0*d21))
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if(qd(3,2)<0)qd(3,2)=-qd(3,2)
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do k=1,3
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p1(k)=rn(label1,k)
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p2(k)=pt(k)
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enddo
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call getDist(p1,p2,d1t)
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do k=1,3
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p1(k)=rn(label2,k)
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p2(k)=pt(k)
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enddo
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call getDist(p1,p2,d2t)
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do k=1,3
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p1(k)=rn(label3,k)
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p2(k)=pt(k)
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enddo
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call getDist(p1,p2,d3t)
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x=(d21-d2t+d1t)/(2.d0*sqrt(d21))
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y1=sqrt((4.d0*d21*d1t-(d21-d2t+d1t)**2)
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$ /(4.d0*d21))
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d1=(x-qd(3,1))*(x-qd(3,1))
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d2=(y1-qd(3,2))*(y1-qd(3,2))
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dst=d1+d2
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if((dst>=d3t-0.0001).or.(dst<=d3t+0.0001))then
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y=y1
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else
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y=-y1
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endif
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t1=(x-qd(3,1))/(qd(1,1)-qd(3,1))
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t2=(y-qd(3,2))/(qd(1,2)-qd(3,2))
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t3=(qd(2,1)-qd(3,1))/(qd(1,1)-qd(3,1))
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t4=(qd(2,2)-qd(3,2))/(qd(1,2)-qd(3,2))
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t=(t1-t2)/(t3-t4)
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term=t*(qd(3,2)-qd(2,2))+y-qd(3,2)
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s=term/(qd(1,2)-qd(3,2))
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if((s>=0.).and.(t>=0.).and.(1.-s-t>=0.))then
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temp=rn(label1,4)*s+rn(label2,4)*t
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temp=temp+rn(label3,4)*(1.-s-t)
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dx=(pt(1)-fc(i,1))*(pt(1)-fc(i,1))
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dy=(pt(2)-fc(i,2))*(pt(2)-fc(i,2))
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dz=(pt(3)-fc(i,3))*(pt(3)-fc(i,3))
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grad=(13.4d0-temp)/(sqrt(dx+dy+dz))
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exit
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endif
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enddo
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vel=grad*0.50575d0*0.507013518d0/(1735.d0-13.4d0)
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dist(i)=vel*dtime
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dtnew=abs(0.5d-3/(vel*dtime))
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if(dtnew<PNEWDT)pnewdt=dtnew
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if(pnewdt*dtime>=0.002)PNEWDT=0.002d0/dtime
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c if(dtime>=0.002)PNEWDT=1.d0
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end if
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enddo
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c move non-fixed facets along unit normals - update fp
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do i=1,numFacets
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nFacet=ndata(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(i)
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fp(i,j+3)=fp(i,j+3)+fn(i,j)*dist(i)
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fp(i,j+6)=fp(i,j+6)+fn(i,j)*dist(i)
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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.d0
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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.d0
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dp2=0.d0
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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.d0
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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.d0
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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
|
||
|
|
a(i)=fn(np(1),i)
|
||
|
|
b(i)=fn(np(2),i)
|
||
|
|
enddo
|
||
|
|
call crossprod(a,b,cp1)
|
||
|
|
c get n2 x n3
|
||
|
|
do i=1,3
|
||
|
|
a(i)=fn(np(2),i)
|
||
|
|
b(i)=fn(np(3),i)
|
||
|
|
enddo
|
||
|
|
call crossprod(a,b,cp2)
|
||
|
|
c get n3 x n1
|
||
|
|
do i=1,3
|
||
|
|
a(i)=fn(np(3),i)
|
||
|
|
b(i)=fn(np(1),i)
|
||
|
|
enddo
|
||
|
|
call crossprod(a,b,cp3)
|
||
|
|
c get intersection of 3 planes
|
||
|
|
c qnew = (-d1(n2 x n3)-d2(n3 x n1)-d3(n1 x n2))/(n1.(n2 x n3))
|
||
|
|
denom=fn(np(1),1)*cp2(1)+fn(np(1),2)*cp2(2)
|
||
|
|
$ +fn(np(1),3)*cp2(3)
|
||
|
|
do i=1,3
|
||
|
|
qnew(i)=-(d(1)*cp2(i)+d(2)*cp3(i)+d(3)*cp1(i))
|
||
|
|
$ /denom
|
||
|
|
enddo
|
||
|
|
else
|
||
|
|
c find line of intersection of planes given by a point
|
||
|
|
c and vector
|
||
|
|
do i=1,2
|
||
|
|
d(i)=0.d0
|
||
|
|
do j=1,3
|
||
|
|
d(i)=d(i)-fn(np(i),j)*fp(np(i),j)
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
c get n1 x n2
|
||
|
|
do i=1,3
|
||
|
|
a(i)=fn(np(1),i)
|
||
|
|
b(i)=fn(np(2),i)
|
||
|
|
enddo
|
||
|
|
call crossprod(a,b,cp1)
|
||
|
|
rlen=sqrt(cp1(1)*cp1(1)+cp1(2)*cp1(2)+cp1(3)*cp1(3))
|
||
|
|
do i=1,3
|
||
|
|
a(i)=d(2)*fn(np(1),i)-d(1)*fn(np(2),i)
|
||
|
|
enddo
|
||
|
|
c get (d2n1 - d1n2) x (n1 x n2)
|
||
|
|
call crossprod(a,cp1,cp2)
|
||
|
|
c a = unit vector along line
|
||
|
|
c b = point on line
|
||
|
|
do i=1,3
|
||
|
|
a(i)=cp1(i)/rlen
|
||
|
|
b(i)=cp2(i)/(rlen*rlen)
|
||
|
|
enddo
|
||
|
|
c get projection of node onto line
|
||
|
|
c bq'=((bq).a)*a
|
||
|
|
dp=0.d0
|
||
|
|
do i=1,3
|
||
|
|
dp=dp+(q(i)-b(i))*a(i)
|
||
|
|
enddo
|
||
|
|
do i=1,3
|
||
|
|
qnew(i)=b(i)+dp*a(i)
|
||
|
|
enddo
|
||
|
|
endif
|
||
|
|
do i=1,3
|
||
|
|
a(i)=(qnew(i)-q(i))/dtime
|
||
|
|
enddo
|
||
|
|
c print *,node,time(1),pnewdt,a(1),a(2),a(3)
|
||
|
|
do i=1,3
|
||
|
|
uglobal(i) = a(i)
|
||
|
|
enddo
|
||
|
|
do i=1,ndim
|
||
|
|
tlocal(i)=0.d0
|
||
|
|
do j=1,ndim
|
||
|
|
tlocal(i)=tlocal(i)+uglobal(j)*alocal(j,i)
|
||
|
|
enddo
|
||
|
|
enddo
|
||
|
|
do i=1,ndim
|
||
|
|
ulocal(i)=tlocal(i)
|
||
|
|
enddo
|
||
|
|
endif
|
||
|
|
lsmooth=1
|
||
|
|
return
|
||
|
|
end
|
||
|
|
c Return cross product(c) for input vectors (a, b)
|
||
|
|
subroutine crossprod(a,b,c)
|
||
|
|
include 'aba_param.inc'
|
||
|
|
real a(3),b(3),c(3)
|
||
|
|
c(1)=a(2)*b(3)-a(3)*b(2)
|
||
|
|
c(2)=a(3)*b(1)-a(1)*b(3)
|
||
|
|
c(3)=a(1)*b(2)-a(2)*b(1)
|
||
|
|
return
|
||
|
|
end
|
||
|
|
subroutine getFlabels(flabel)
|
||
|
|
include 'aba_param.inc'
|
||
|
|
integer flabel(10,3)
|
||
|
|
flabel(1,1)=6
|
||
|
|
flabel(1,2)=8
|
||
|
|
flabel(1,3)=7
|
||
|
|
flabel(2,1)=6
|
||
|
|
flabel(2,2)=7
|
||
|
|
flabel(2,3)=5
|
||
|
|
flabel(3,1)=6
|
||
|
|
flabel(3,2)=2
|
||
|
|
flabel(3,3)=4
|
||
|
|
flabel(4,1)=6
|
||
|
|
flabel(4,2)=4
|
||
|
|
flabel(4,3)=8
|
||
|
|
flabel(5,1)=5
|
||
|
|
flabel(5,2)=1
|
||
|
|
flabel(5,3)=3
|
||
|
|
flabel(6,1)=5
|
||
|
|
flabel(6,2)=3
|
||
|
|
flabel(6,3)=7
|
||
|
|
flabel(7,1)=3
|
||
|
|
flabel(7,2)=4
|
||
|
|
flabel(7,3)=8
|
||
|
|
flabel(8,1)=3
|
||
|
|
flabel(8,2)=8
|
||
|
|
flabel(8,3)=7
|
||
|
|
flabel(9,1)=1
|
||
|
|
flabel(9,2)=2
|
||
|
|
flabel(9,3)=6
|
||
|
|
flabel(10,1)=1
|
||
|
|
flabel(10,2)=6
|
||
|
|
flabel(10,3)=5
|
||
|
|
return
|
||
|
|
end subroutine
|
||
|
|
subroutine getDet(A,Det)
|
||
|
|
include 'aba_param.inc'
|
||
|
|
real A(4,4)
|
||
|
|
A1=A(3,3)*A(4,4)-A(3,4)*A(4,3)
|
||
|
|
A2=A(3,4)*A(4,2)-A(3,2)*A(4,4)
|
||
|
|
A3=A(3,2)*A(4,3)-A(3,3)*A(4,2)
|
||
|
|
B1=A(1,1)*(A(2,2)*A1+A(2,3)*A2+A(2,4)*A3)
|
||
|
|
A1=A(3,3)*A(4,4)-A(3,4)*A(4,3)
|
||
|
|
A2=A(3,4)*A(4,1)-A(3,1)*A(4,4)
|
||
|
|
A3=A(3,1)*A(4,3)-A(3,3)*A(4,1)
|
||
|
|
B2=A(1,2)*(A(2,1)*A1+A(2,3)*A2+A(2,4)*A3)
|
||
|
|
A1=A(3,2)*A(4,4)-A(3,4)*A(4,2)
|
||
|
|
A2=A(3,4)*A(4,1)-A(3,1)*A(4,4)
|
||
|
|
A3=A(3,1)*A(4,2)-A(3,2)*A(4,1)
|
||
|
|
B3=A(1,3)*(A(2,1)*A1+A(2,2)*A2+A(2,4)*A3)
|
||
|
|
A1=A(3,2)*A(4,3)-A(3,3)*A(4,2)
|
||
|
|
A2=A(3,3)*A(4,1)-A(3,1)*A(4,3)
|
||
|
|
A3=A(3,1)*A(4,2)-A(3,2)*A(4,1)
|
||
|
|
B4=A(1,4)*(A(2,1)*A1+A(2,2)*A2+A(2,3)*A3)
|
||
|
|
DET =B1-B2+B3-B4
|
||
|
|
end subroutine
|
||
|
|
subroutine getDist(p1,p2,dist)
|
||
|
|
include 'aba_param.inc'
|
||
|
|
real p1(3),p2(3)
|
||
|
|
d21x=(p2(1)-p1(1))*(p2(1)-p1(1))
|
||
|
|
d21y=(p2(2)-p1(2))*(p2(2)-p1(2))
|
||
|
|
d21z=(p2(3)-p1(3))*(p2(3)-p1(3))
|
||
|
|
dist=d21x+d21y+d21z
|
||
|
|
end subroutine
|