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

Greene, Patrick T.¹  Schofield, Samuel P.¹  Nourgaliev, Robert¹ 

[1] Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

关键词: weighted mesh smoothing;    condition number mesh relaxation;    r-refinement;    level set;    discontinuous Galerkin discretization;    ALE model;   

DOI  :  10.2172/1260506
RP-ID  :  LLNL-TR--695525
PID  :  OSTI ID: 1260506

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

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.