INVARIANT DOMAIN PRESERVING APPROXIMATIONS FOR THE EULER EQUATIONS WITH TABULATED EQUATION OF STATE
| Autor: | Clayton, Bennett, Guermond, Jean-Luc, Popov, Bojan |
|---|---|
| Přispěvatelé: | Department of Mathematics [Texas] (TAMU), Texas A&M University [College Station], Guermond, Jean-Luc |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
tabulated equation of state
65M22 65M12 35L65 Invariant domain preserving approximation composite waves AMS subject classifications. 65M60 [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA] Compressible Euler equations maximum wave speed Riemann problem [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Popis: | This paper is concerned with the approximation of the compressible Euler equations supplemented with an equation of state that is either tabulated or is given by an expression that is so involved that solving elementary Riemann problems is hopeless. A robust first-order approximation technique that guarantees that the density and the internal energy are positive is proposed. A key ingredient of the method is a local approximation of the equation of state using a co-volume ansatz from which upper bounds on the maximum wave speed are derived for every elementary Riemann problem. |
| Databáze: | OpenAIRE |
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