Robust Mesh Deformation using the Linear Elasticity Equations

Kurzfassung

A modification is proposed to the equations of linear elasticity as used to deform Euler and Navier-Stokes meshes. In particular it is seen that the equations do not admit rigid body rotations as solutions, and it is shown how these solutions may be recovered by modifying the constitutive law. The result is significantly more robust to general deformations, and combined with incremental application generates valid meshes well beyond the point at which remeshing is required.