Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
| Autor: | Bennett Clayton, Jean-Luc Guermond, Matthias Maier, Bojan Popov, Eric J. Tovar |
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| Rok vydání: | 2022 |
| Předmět: |
Computational Mathematics
Numerical Analysis Physics and Astronomy (miscellaneous) Applied Mathematics Modeling and Simulation FOS: Mathematics FOS: Physical sciences Mathematics - Numerical Analysis Numerical Analysis (math.NA) Computational Physics (physics.comp-ph) Physics - Computational Physics Computer Science Applications 65M60 65M12 65M15 35L45 35L65 |
| DOI: | 10.48550/arxiv.2207.12832 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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