[Gmsh] Are surfaces connected in layered sphere?

Julian Swartz swartzjp at gmail.com
Tue Nov 22 12:18:42 CET 2005


Hi,

I am trying to create a layered sphere (with the inner sphere and outer
spherical layer to be assigned different material properties). I've created
the .geo file below, but I'm not sure whether the resultant tetrahedral mesh
actually connects the interface between the inner and outer spherical layers
and matches the faces of the adjoining tetrahedra. Can anyone advise me on
this?

Julian

// sphere_layer.geo
// sphere of radius r1, centered on the origin
// with an outer spherical layer of radius r2

lc=0.2;
r1=0.3;
r2=0.6;

// inner semicircle points
Point(1) = {0,0,0,lc};
Point(2) = {0,0,-r1,lc};
Point(3) = {0,-r1,0,lc};
Point(4) = {0,0,r1,lc};

// outer semicircle points
Point(5) = {0,0,-r2,lc};
Point(6) = {0,-r2,0,lc};
Point(7) = {0,0,r2,lc};

// inner semicircle lines
Line(1) = {1,2};
Circle(2) = {2,1,3};
Circle(3) = {3,1,4};
Line(4) = {4,1};

// outer semicircular slice lines
Line(5) = {2,5};
Circle(6) = {5,1,6};
Circle(7) = {6,1,7};
Line(8) = {7,4};

// inner semi-circle line loop
Line Loop(9) = {1,2,3,4};
// outer slice line loop
Line Loop(10) = {5,6,7,8,-3,-2};

// inner semi-circular plane
Plane Surface(12) = {9};
// outer layer plane
Plane Surface(13) = {10};

// extrude inner semi-circle to get inner sphere
v1[] = Extrude Surface {12, {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;
v2[] = Extrude Surface {v1[0], {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;
v3[] = Extrude Surface {v2[0], {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;

// extrude outer slice to get outer spherical layer
v4[] = Extrude Surface {13, {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;
v5[] = Extrude Surface {v4[0], {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;
v6[] = Extrude Surface {v5[0], {0.0,0.0,1.0}, {0.0,0.0,0.0},2*Pi/3};;


//assign volume number 1 to outer layer
Physical Volume(1) = {v4[1],v5[1],v6[1]};

// assign volume number 2 to inner sphere
Physical Volume(2) = {v1[1],v2[1],v3[1]};
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