Entropy stable schemes on two-dimensional unstructured grids


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Date

2014-10

Publication Type

Report

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yes

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Abstract

We propose an entropy stable high-resolution finite volume scheme to approximate systems of two-dimensional symmetrizable conservation laws on unstructured grids. The scheme is constructed using a judicious combination of entropy conservative fluxes and entropy-stable numerical dissipation operators. High resolution is achieved based on a piecewise linear reconstruction procedure satisfying a suitable sign property. The proposed scheme is demonstrated to robustly approximate complex flow features by a series of benchmark numerical experiments.

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published

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Volume

2014-28

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Publisher

Seminar for Applied Mathematics, ETH Zurich

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Subject

System of conservation laws; Entropy stability;; Unstructured meshes; Euler equations

Organisational unit

03851 - Mishra, Siddhartha / Mishra, Siddhartha check_circle

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