2020
DOI: 10.48550/arxiv.2007.04467
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A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations

Abstract: In this contribution we derive and analyze a new numerical method for kinetic equations based on a coordinate transformation of the moment approximation. Classical minimum-entropy moment (M N ) closures are a class of reduced models for kinetic equations that conserve many of the fundamental physical properties of the solutions. However, their practical use is limited by their high-computational cost, as an optimization problem has to be solved for every cell in the space-time grid. In addition, implementation… Show more

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