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fix curved pyramids

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This commit is contained in:
Joachim Schöberl 2016-04-30 07:22:26 +02:00
parent 47a0d9b107
commit 51fd3aa497
1 changed files with 68 additions and 8 deletions
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76
libsrc/meshing/curvedelems.cpp
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@ -2551,6 +2551,14 @@ namespace netgen
if (info.order == 1) return;
double sigma[4] =
{
sigma[0] = ( (1-z-x) + (1-z-y) ),
sigma[1] = ( x + (1-z-y) ),
sigma[2] = ( x + y ),
sigma[3] = ( (1-z-x) + y ),
};
int ii = 5;
const ELEMENT_EDGE * edges = MeshTopology::GetEdges1 (PYRAMID);
for (int i = 0; i < 4; i++) // horizontal edges
@ -2561,7 +2569,7 @@ namespace netgen
int vi1 = (edges[i][0]-1), vi2 = (edges[i][1]-1);
if (el[vi1] > el[vi2]) swap (vi1, vi2);
CalcScaledEdgeShape (eorder, shapes[vi1]-shapes[vi2], shapes[vi1]+shapes[vi2], &shapes(ii));
CalcScaledEdgeShape (eorder, sigma[vi1]-sigma[vi2], 1-z, &shapes(ii));
double fac = (shapes[vi1]+shapes[vi2]) / (1-z);
for (int j = 0; j < eorder-1; j++)
shapes(ii+j) *= fac;
@ -3003,13 +3011,65 @@ namespace netgen
dshapes(4,0) = 0;
dshapes(4,1) = 0;
dshapes(4,2) = 1;
/* old:
vdshape[0] = Vec<3>( -(z1-y)/z1, -(z1-x)/z1, ((x+y+2*z-2)*z1+(z1-y)*(z1-x))/z2 );
vdshape[1] = Vec<3>( (z1-y)/z1, -x/z1, (-x*z1+x*(z1-y))/z2 );
vdshape[2] = Vec<3>( y/z1, x/z1, x*y/z2 );
vdshape[3] = Vec<3>( -y/z1, (z1-x)/z1, (-y*z1+y*(z1-x))/z2 );
vdshape[4] = Vec<3>( 0, 0, 1 );
*/
if (info.order == 1) return;
int ii = 5;
const ELEMENT_EDGE * edges = MeshTopology::GetEdges1 (PYRAMID);
if (z == 1.) z = 1-1e-10;
double shapes[5];
shapes[0] = (1-z-x)*(1-z-y) / (1-z);
shapes[1] = x*(1-z-y) / (1-z);
shapes[2] = x*y / (1-z);
shapes[3] = (1-z-x)*y / (1-z);
shapes[4] = z;
double sigma[4] =
{
( (1-z-x) + (1-z-y) ),
( x + (1-z-y) ),
( x + y ),
( (1-z-x) + y ),
};
double dsigma[4][3] =
{
{ -1, -1, -2 },
{ 1, -1, -1 },
{ 1, 1, 0 },
{ -1, 1, -1 }
};
double dz[3] = { 0, 0, 1 };
for (int i = 0; i < 4; i++) // horizontal edges
{
int eorder = edgeorder[info.edgenrs[i]];
if (eorder >= 2)
{
int vi1 = (edges[i][0]-1), vi2 = (edges[i][1]-1);
if (el[vi1] > el[vi2]) swap (vi1, vi2);
Vector shapei(eorder+1);
CalcScaledEdgeShapeDxDt<3> (eorder, sigma[vi1]-sigma[vi2], 1-z, &dshapes(ii,0) );
CalcScaledEdgeShape(eorder, sigma[vi1]-sigma[vi2], 1-z, &shapei(0) );
double fac = (shapes[vi1]+shapes[vi2]) / (1-z);
double dfac[3];
for (int k = 0; k < 3; k++)
dfac[k] = ( (dshapes(vi1,k)+dshapes(vi2,k)) * (1-z) -
(shapes[vi1]+shapes[vi2]) *(-dshapes(4,k)) )
/ sqr(1-z);
for (int j = 0; j < eorder-1; j++)
{
double ddx = dshapes(ii+j,0);
double ddt = dshapes(ii+j,1);
for (int k = 0; k < 3; k++)
dshapes(ii+j,k) = fac * (ddx * (dsigma[vi1][k]-dsigma[vi2][k]) - ddt*dz[k])
+ dfac[k] * shapei(j);
}
ii += eorder-1;
}
}
break;
}