Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State

DOI10.1137/21M1414097zbMath1486.65164OpenAlexW4212834598WikidataQ114074047 ScholiaQ114074047MaRDI QIDQ5037542

Bojan Popov, Bennett Clayton, Jean-Luc Guermond

Publication date: 1 March 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1414097

zbMATH Keywords

Riemann problemcompressible Euler equationcomposite wavestabulated equation of stateinvariant domain preserving approximationmaximum wave speed

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows

Uses Software

• SESAME
• GitHub

Cites Work

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