Convergence of first‐order finite volume method based on exact Riemann solver for the complete compressible Euler equations
DOI10.1002/num.23025arXiv2105.02165OpenAlexW3158305113MaRDI QIDQ6088175
Yuhuan Yuan, Mária Lukáčová-Medvid'ová
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02165
convergencefinite volume methodcompressible Euler equationsexact Riemann solverdisspipative measure-valued solution
Singular perturbations in context of PDEs (35B25) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Singularity in context of PDEs (35A21) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31) PDEs with measure (35R06)
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