Abstract
An interface-preserving moving mesh algorithm in two or
higher dimensions is presented. It resolves a moving (d-1)-dimensional
manifold directly within the d-dimensional mesh, which means that the
interface is represented by a subset of moving mesh cell-surfaces. The
underlying mesh is a conforming simplicial partition that fulfills the
Delaunay property. The local remeshing algorithms allow for strong
interface deformations. We give a proof that the given algorithms
preserve the interface after interface deformation and remeshing steps.
Originating from various numerical methods, data is attached cell-wise
to the mesh. After each remeshing operation, the interface-preserving
moving mesh retains valid data by projecting the data to the new mesh
cells.An open source implementation of the moving mesh algorithm is
available at Reference 1.
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