On Thermodynamically Compatible Finite Volume Schemes for Overdetermined Hyperbolic Systems
DOI10.1007/978-3-031-40860-1_11MaRDI QIDQ6151378
Saray Busto, Andrea Thomann, Michael Dumbser
Publication date: 12 February 2024
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
continuum mechanicsdiscrete entropy inequalitynonlinear stability in the energy normapplications to magnetohydrodynamicsoverdetermined thermodynamically compatible hyperbolic systemsthermodynamically compatible finite volume schemes (HTC)turbulent shallow water and compressible two-fluid flows
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) First-order hyperbolic equations (35L02) Finite volume methods for boundary value problems involving PDEs (65N08) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99) Liquid-liquid two component flows (76T06)
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