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Title: Dynamic Mesh Adaptation for Front Evolution Using Discontinuous Galerkin Based Weighted Condition Number Mesh Relaxation

A new mesh smoothing method designed to cluster mesh cells near a dynamically evolving interface is presented. The method is based on weighted condition number mesh relaxation with the weight function being computed from a level set representation of the interface. The weight function is expressed as a Taylor series based discontinuous Galerkin projection, which makes the computation of the derivatives of the weight function needed during the condition number optimization process a trivial matter. For cases when a level set is not available, a fast method for generating a low-order level set from discrete cell-centered elds, such as a volume fraction or index function, is provided. Results show that the low-order level set works equally well for the weight function as the actual level set. Meshes generated for a number of interface geometries are presented, including cases with multiple level sets. Dynamic cases for moving interfaces are presented to demonstrate the method's potential usefulness to arbitrary Lagrangian Eulerian (ALE) methods.
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  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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Technical Report
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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Country of Publication:
United States
97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE weighted mesh smoothing; condition number mesh relaxation; r-refinement; level set; discontinuous Galerkin discretization; ALE model