Three dimensional discontinuous Galerkin methods for Euler equations on adaptive conforming meshes |
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Authors: | Xijun Yu Di Wu Yun Xu |
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Affiliation: | Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China |
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Abstract: | In the numerical simulation of three dimensional fluid dynamical equations, the huge computational quantity is a main challenge. In this paper, the discontinuous Galerkin (DG) finite element method combined with the adaptive mesh refinement (AMR) is studied to solve the three dimensional Euler equations based on conforming unstructured tetrahedron meshes, that is according the equation solution variation to refine and coarsen grids so as to decrease total mesh number. The four space adaptive strategies are given and analyzed their advantages and disadvantages. The numerical examples show the validity of our methods. |
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Keywords: | Euler equations Discontinuous Galerkin method Adaptive mesh refinement |
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