A new class of simple, general and efficient finite volume schemes for overdetermined thermodynamically compatible hyperbolic systems
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Publication:6593777
DOI10.1007/S42967-023-00307-4MaRDI QIDQ6593777
Publication date: 27 August 2024
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
discrete entropy inequalityoverdetermined thermodynamically compatible hyperbolic systemsAbgrall frameworkGodounov-Peshkov-Romenski (GPR)hyperbolic and thermodynamically compatible (HTC) finite volume schemesnonlinear stability in the energy normapplications to ideal magnetohydrodynamics (MHD)turbulent shallow water (TSW) flows
First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Related Items (4)
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics ⋮ A semi-implicit finite volume scheme for incompressible two-phase flows ⋮ Convergence analysis of a DDFD method for flow problems in homogeneous porous media ⋮ Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
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