A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
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DOI: 10.1016/j.amc.2022.127629
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- Ray, Deep & Chandrashekar, Praveen, 2017. "An entropy stable finite volume scheme for the two dimensional Navier–Stokes equations on triangular grids," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 257-286.
- Gassner, Gregor J. & Winters, Andrew R. & Kopriva, David A., 2016. "A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations," Applied Mathematics and Computation, Elsevier, vol. 272(P2), pages 291-308.
- Busto, S. & Río-Martín, L. & Vázquez-Cendón, M.E. & Dumbser, M., 2021. "A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes," Applied Mathematics and Computation, Elsevier, vol. 402(C).
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- Firas Dhaouadi & Michael Dumbser, 2023. "A Structure-Preserving Finite Volume Scheme for a Hyperbolic Reformulation of the Navier–Stokes–Korteweg Equations," Mathematics, MDPI, vol. 11(4), pages 1-25, February.
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Keywords
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;All these keywords.
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