Metric-field based mesh adaptation for compressible flow simulations

Abstract

For resolving anisotropic flow features such as shocks, boundary layers, etc., in compressible flow simulations, anisotropic (stretched) meshes are much more efficient than isotropic meshes. Metric-field based mesh generation provides a suitable framework to incorporate anisotropic features of the solutions on the meshes. In this framework, the meshes are described by metric tensors that encode size, anisotropy and the orientation of the simplex mesh elements. For discontinuous Galerkin methods, discretization error control can be done using either h-adaptation, or hp-adaptation. Efficient h- and hp-adaptation methods based on metric fields are developed for discontinuous Galerkin methods for solving compressible flow simulations. The effectiveness of the adaptation methodology is demonstrated using both model and flow problems.

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