Thermodynamic consistency of cell-centered Lagrangian schemes

DOI10.1016/j.compfluid.2020.104527OpenAlexW3016532919MaRDI QIDQ2180032

Bernard Rebourcet, Pierre-Henri Maire, Isabelle Bertron, Remi Chauvin

Publication date: 13 May 2020

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2020.104527

zbMATH Keywords

Lagrangian hydrodynamicsentropy conservative methodcell-centered finite volume discretization

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (5)

A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition ⋮ Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate ⋮ An acoustic Riemann solver for large strain computational contact dynamics ⋮ 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

Cites Work

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• Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
• Mimetic finite difference method
• Use of artificial viscosity in multidimensional fluid dynamic calculations
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Reminiscences about difference schemes
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• Reducing the entropy production in a collocated Lagrange-remap scheme
• Entropy conservative schemes and the receding flow problem
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Numerical Methods for Eulerian and Lagrangian Conservation Laws
• The Riemann problem for fluid flow of real materials
• Viscous Regularization of the Euler Equations and Entropy Principles
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Lagrangian systems of conservation laws. Invariance properties of Lagrangian systems of conservation laws, approximate Riemann solvers and the entropy condition

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