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arXiv · 1807.03832

A Family of Entropy-Conservative Flux Functions for the Euler Equations

Jason Edward Hicken·Jared Crean
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Abstract

Entropy-conservative numerical flux functions can be used to construct high-order, entropy-stable discretizations of the Euler and Navier-Stokes equations. The purpose of this short communication is to present a novel family of such entropy-conservative flux functions. The proposed flux functions are solutions to quadratic optimization problems and admit closed-form, computationally affordable expressions. We establish the properties of the flux functions including their continuous differentiability, which is necessary for high-order discretizations.

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Jason Edward Hicken, Jared Crean. 2018-07-10. A Family of Entropy-Conservative Flux Functions for the Euler Equations. https://arxiv.org/abs/1807.03832

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