Implementing a discontinuous Galerkin method for the compressible,inviscid Euler equations in the DUNE framework |
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| Authors: | Juan Pablo Gallego-Valencia Johannes Löbbert Steffen Müthing Peter Bastian Christian Klingenberg Yinhua Xia |
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| Institution: | 1. Institut für Mathematik, Universität Würzburg;2. Interdisziplinäres Institut für wissenschaftliches Rechnen, Universität Heidelberg |
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| Abstract: | A discontinuous Galerkin scheme was implemented in the DUNE framework to solve the compressible, inviscid Euler equations in a multi-dimensional Cartesian grid. It uses a HLLC Riemann solver for the numerical fluxes in the interfaces, a total variation bounded limiter to handle discontinuities, a positivity preserving limiter for near vacuum conditions, and adaptive mesh refinement (AMR). (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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