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

Applied Mathematics and Computation(2023)

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摘要
•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 achieved by construction.•Nonlinear stability in the energy norm can be proven for all schemes.
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关键词
Hyperbolic and thermodynamically compatible (HTC) systems with extra conservation law,Entropy inequality,Nonlinear stability in the energy norm,Thermodynamically compatible finite volume schemes,Thermodynamically compatible discontinuous Galerkin schemes,Unified first order hyperbolic formulation of continuum mechanics
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