On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics

DOI10.1137/21M1417508WikidataQ114074042 ScholiaQ114074042MaRDI QIDQ5088778

Evgeniy Romenski, Michael Dumbser, Saray Busto, I. M. Peshkov

Publication date: 13 July 2022

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

zbMATH Keywords

entropy inequalitythermodynamically compatible finite volume schemeshyperbolic thermodynamically compatible PDE systemsoverdetermined hyperbolic PDE systemssemidiscrete and fully discrete Godunov formalismunified model for solid mechanics and fluid mechanics

Mathematics Subject Classification ID

First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical analysis (65-XX)

Related Items (11)

A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics ⋮ Unified description of fluids and solids in smoothed particle hydrodynamics ⋮ Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities ⋮ On Thermodynamically Compatible Finite Volume Schemes for Overdetermined Hyperbolic Systems ⋮ Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes ⋮ An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension ⋮ Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022 ⋮ A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach ⋮ A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows ⋮ Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows

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