A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics

•Simple and general framework for constructing thermodynamically compatible schemes.•Compatibility is achieved via a simple scalar correction factor.•Thermodynamically compatible finite volume schemes.•Thermodynamically compatible DG schemes of type I and II.•A discrete cell entropy inequality is ac...

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Bibliographic Details

Published in:	Applied mathematics and computation Vol. 440; p. 127629
Main Authors:	Abgrall, Rémi, Busto, Saray, Dumbser, Michael
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.03.2023
Subjects:	Entropy inequality Hyperbolic and thermodynamically compatible (HTC) systems with extra conservation law Nonlinear stability in the energy norm Thermodynamically compatible discontinuous Galerkin schemes Thermodynamically compatible finite volume schemes Unified first order hyperbolic formulation of continuum mechanics Entropy inequality Unified first order hyperbolic formulation of continuum mechanics Nonlinear stability in the energy norm Thermodynamically compatible finite volume schemes Thermodynamically compatible discontinuous Galerkin schemes Hyperbolic and thermodynamically compatible (HTC) systems with extra conservation law
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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