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Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

  • Deep Ray (a1), Praveen Chandrashekar (a1), Ulrik S. Fjordholm (a2) and Siddhartha Mishra (a3)

Abstract

We propose an entropy stable high-resolution finite volume scheme to approximate systems of two-dimensional symmetrizable conservation laws on unstructured grids. In particular we consider Euler equations governing compressible flows. The scheme is constructed using a combination of entropy conservative fluxes and entropy-stable numerical dissipation operators. High resolution is achieved based on a linear reconstruction procedure satisfying a suitable sign property that helps to maintain entropy stability. The proposed scheme is demonstrated to robustly approximate complex flow features by a series of benchmark numerical experiments.

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Corresponding author

*Corresponding author. Email addresses:deep@tifrbng.res.in (D. Ray), praveen@tifrbng.res.in (P. Chandrashekar), ulrik.fjordholm@math.ntnu.no (U. S. Fjordholm), siddhartha.mishra@sam.math.ethz.ch (S. Mishra)

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Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

  • Deep Ray (a1), Praveen Chandrashekar (a1), Ulrik S. Fjordholm (a2) and Siddhartha Mishra (a3)

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