95 lines
No EOL
2.6 KiB
Matlab
95 lines
No EOL
2.6 KiB
Matlab
function [] = Tst()
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% set up grid
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gd=0.;
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numElem=4;
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eLen=0.25;
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for i=1:numElem+1
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ndCrd(i)=gd;
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gd=gd+eLen;
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end
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for i=1:numElem
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elemNod(i,1)=i;
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elemNod(i,2)=i+1;
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end
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% initial level set
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dpos=0.1;
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for i=1:numElem+1
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lSet(i)=sign(ndCrd(i)-dpos)*abs(dpos-ndCrd(i));
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end
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% force vector BC
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fVect=zeros(12,1);
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for i=1:numElem
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if sign(lSet(elemNod(i,1)))~=sign(lSet(elemNod(i,2)))
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fVect(elemNod(i,1))= 1.;
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fVect(elemNod(i,2))= 1.;
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end
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end
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% solve for velocity vector
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Af=zeros(numElem+1);
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% Assemble 'Stiffness' Matrices
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for i=1:numElem
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pos(1)=-1/sqrt(3);
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pos(2)=1/sqrt(3);
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AfL=zeros(2);
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AfLGLS=zeros(2);
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for j=1:2
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shp(1)=(1-pos(j))/2.;
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shp(2)=(1+pos(j))/2.;
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dshp(1)=-0.5;
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dshp(2)=0.5;
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rset=shp(1)*lSet(elemNod(i,1))+shp(2)*lSet(elemNod(i,2));
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dls=dshp(1)*lSet(elemNod(i,1))+dshp(2)*lSet(elemNod(i,2));
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AfL=AfL+shp'*sign(rset)*(dls*dshp);
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AfLGLS=AfLGLS+(dshp'*dls)*(1./abs(dls))*(dls*dshp);
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end
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for k=1:2;
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for j=1:2;
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Af(elemNod(i,j),elemNod(i,k))=Af(elemNod(i,j),elemNod(i,k))+AfL(j,k)+AfLGLS(j,k);
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end
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end
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end
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% Update level set
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mMat=zeros(numElem+1);
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mMatGLS=zeros(numElem+1);
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f1=zeros(numElem+1,1);
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f2=zeros(numElem+1,1);
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f3=zeros(numElem+1,1);
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for i=1:numElem
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pos(1)=-1/sqrt(3);
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pos(2)=1/sqrt(3);
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mMatL=zeros(2);
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mMatGLSL=zeros(2);
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f1L=zeros(2,1);
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f2L=zeros(2,1);
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f3L=zeors(2,1);
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for j=1:2
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shp(1)=(1-pos(j))/2.;
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shp(2)=(1+pos(j))/2.;
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dshp(1)=-0.5;
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dshp(2)=0.5;
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Floc=shp(1)*fVect(elemNod(i,1))+shp(2)*fVect(elemNod(i,2));
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rset=shp(1)*lSet(elemNod(i,1))+shp(2)*lSet(elemNod(i,2));
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dls=dshp(1)*lSet(elemNod(i,1))+dshp(2)*lSet(elemNod(i,2));
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mMatL=mMatL+shp'*shp;
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mMatGLS=mMatGLS+dshp'*(dls/abs(dls))*Floc*1.*shp;
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f1L=f1L+shp'*Floc*abs(dls);
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f2L=f2L+dshp'*(dls/abs(dls))*Floc*1.*Floc*abs(dls);
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vs=1.*((abs(0.1+Floc*abs(dls)))/(abs(Floc*abs(dls))+1.));
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f3L=f3L+vs*dshp'*dls;
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end
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for k=1:2;
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for j=1:2;
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mMat(elemNod(i,j),elemNod(i,k))=mMat(elemNod(i,j),elemNod(i,k))+mMatL(j,k);
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mMatGLS(elemNod(i,j),elemNod(i,k))=mMatGLS(elemNod(i,j),elemNod(i,k))+mMatGLSL(j,k);
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end
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f1(elemNod(i,k))=f1(elemNod(i,k))+f1L(k);
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f2(elemNod(i,k))=f2(elemNod(i,k))+f2L(k);
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f3(elemNod(i,k))=f3(elemNod(i,k))+f3L(k);
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end
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end
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dt=0.1;
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lSet=lSet-(((mMat+mMatGLS)^-1)/dt)*(f1+f2+f3);
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lSet
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