Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state

07/26/2022
by   Bennett Clayton, et al.
0

This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation technique is robust, formally second-order accurate in space, invariant-domain preserving, and works for every equation of state, tabulated or analytic, provided the pressure is nonnegative. An entropy surrogate functional that grows across shocks is proposed. The numerical method is verified with novel analytical solutions and then validated with several computational benchmarks seen in the literature.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/03/2022

On the invariant region for compressible Euler equations with a general equation of state

The state space for solutions of the compressible Euler equations with a...
research
07/19/2019

An all speed second order IMEX relaxation scheme for the Euler equations

We present an implicit-explicit finite volume scheme for the Euler equat...
research
09/13/2020

Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations

We present a fully discrete approximation technique for the compressible...
research
08/27/2020

On Fake Accuracy Verification

In this paper, we reveal a mechanism behind a fake accuracy verification...
research
03/12/2018

A second-order well-balanced finite volume scheme for Euler equations with gravity

We present a well-balanced, second order, Godunov-type finite volume sch...
research
12/02/2020

Proper Selection of Obreshkov-Like Numerical Integrators Used as Numerical Differentiators

Criteria for Obreshkov-like numerical integrators to be used as numerica...

Please sign up or login with your details

Forgot password? Click here to reset