| 1 |
gezelter |
3640 |
vert0 = {x0, y0, z0} |
| 2 |
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vert1 = {x1, y1, z1} |
| 3 |
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vert2 = {x2, y2, z2} |
| 4 |
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| 5 |
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centroid = (vert0 + vert1 + vert2) / 3 |
| 6 |
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a = vert0 - vert1 |
| 7 |
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b = vert0 - vert2 |
| 8 |
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c = vert1 - vert2 |
| 9 |
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| 10 |
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u0 = -a |
| 11 |
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v0 = centroid - vert0 |
| 12 |
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s0 = Sqrt[Cross[u0,v0] . Cross[u0,v0]] / 2 |
| 13 |
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| 14 |
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u1 = -c |
| 15 |
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v1 = centroid - vert1 |
| 16 |
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s1 = Sqrt[Cross[u1,v1] . Cross[u1,v1]] / 2 |
| 17 |
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| 18 |
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u2 = b |
| 19 |
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v2 = centroid - vert2 |
| 20 |
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s2 = Sqrt[Cross[u2,v2] . Cross[u2,v2]] / 2 |
| 21 |
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| 22 |
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| 23 |
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sc0 = (centroid + vert1 + vert0) / 3 |
| 24 |
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dr0 = centroid - sc0 |
| 25 |
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l0 = 1 / (dr0.dr0) |
| 26 |
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| 27 |
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G0 = (IdentityMatrix[3] + Outer[Times, dr0, dr0]*l0)*Sqrt[l0]*s0*8/(Pi*eta) |
| 28 |
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| 29 |
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sc1 = (centroid + vert1 + vert2) / 3 |
| 30 |
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dr1 = centroid - sc1 |
| 31 |
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l1 = 1 / (dr1.dr1) |
| 32 |
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| 33 |
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G1 = (IdentityMatrix[3] + Outer[Times, dr1, dr1]*l1)*Sqrt[l1]*s1*8/(Pi*eta) |
| 34 |
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| 35 |
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sc2 = (centroid + vert2 + vert0) / 3 |
| 36 |
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dr2 = centroid - sc2 |
| 37 |
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l2 = 1 / (dr2.dr2) |
| 38 |
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| 39 |
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G2 = (IdentityMatrix[3] + Outer[Times, dr2, dr2]*l2)*Sqrt[l2]*s2*8/(Pi*eta) |
| 40 |
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| 41 |
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| 42 |
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Hmat = G0 + G1 + G2 |
| 43 |
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| 44 |
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Xi = Inverse[Hmat] |
