• Corpus ID: 233481389

A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows

  title={A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows},
  author={Tianci Huang and Matthew J. Zahr},
High-order implicit shock tracking (fitting) is a new class of numerical methods to approximate solutions of conservation laws with non-smooth features, e.g., contact lines, shock waves, and rarefactions. These methods align elements of the computational mesh with non-smooth features to represent them perfectly, allowing high-order basis functions to approximate smooth regions of the solution without the need for nonlinear stabilization, which leads to accurate approximations on traditionally… 
1 Citations
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Implicit shock tracking using an optimizationbased high-order discontinuous Galerkin method
  • Journal of Computational Physics,
  • 2020
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