speed up corotated force computation
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@@ -54,6 +54,7 @@ public:
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{
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int numNodes = getNumNodes();
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btAssert(numNodes <= force.size())
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btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1);
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for (int i = 0; i < m_softBodies.size(); ++i)
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{
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btSoftBody* psb = m_softBodies[i];
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@@ -64,8 +65,7 @@ public:
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btMatrix3x3 F = tetra.m_ds * tetra.m_Dm_inverse;
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btMatrix3x3 P;
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firstPiola(F,P);
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btVector3 grad_N_hat_1st_col = btVector3(-1,-1,-1);
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btVector3 force_on_node0 = P * tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col;
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btVector3 force_on_node0 = P * (tetra.m_Dm_inverse.transpose()*grad_N_hat_1st_col);
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btMatrix3x3 force_on_node123 = P * tetra.m_Dm_inverse.transpose();
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btSoftBody::Node* node0 = tetra.m_n[0];
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@@ -79,26 +79,30 @@ public:
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// elastic force
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// explicit elastic force
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force[id0] -= scale * tetra.m_element_measure * force_on_node0;
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force[id1] -= scale * tetra.m_element_measure * force_on_node123.getColumn(0);
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force[id2] -= scale * tetra.m_element_measure * force_on_node123.getColumn(1);
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force[id3] -= scale * tetra.m_element_measure * force_on_node123.getColumn(2);
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btScalar scale1 = scale * tetra.m_element_measure;
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force[id0] -= scale1 * force_on_node0;
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force[id1] -= scale1 * force_on_node123.getColumn(0);
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force[id2] -= scale1 * force_on_node123.getColumn(1);
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force[id3] -= scale1 * force_on_node123.getColumn(2);
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}
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}
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}
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void firstPiola(const btMatrix3x3& F, btMatrix3x3& P)
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{
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btMatrix3x3 R,S;
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// btMatrix3x3 JFinvT = F.adjoint();
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btScalar J = F.determinant();
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P = F.adjoint() * (m_lambda * (J-1));
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if (m_mu > SIMD_EPSILON)
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{
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btMatrix3x3 R,S;
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if (J < 1024 * SIMD_EPSILON)
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R.setIdentity();
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else
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PolarDecompose(F, R, S); // this QR is not robust, consider using implicit shift svd
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/*https://fuchuyuan.github.io/research/svd/paper.pdf*/
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btMatrix3x3 JFinvT = F.adjoint();
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P = JFinvT * (m_lambda * (J-1)) + (F-R) * 2 * m_mu;
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P += (F-R) * 2 * m_mu;
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}
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}
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void updateDs(btSoftBody::Tetra& t)
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{
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