Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems

DOI10.4310/CMS.2020.v18.n1.a1zbMath1436.35017MaRDI QIDQ1984698

Christophe Chalons

Publication date: 7 April 2020

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

shock wavesdiscontinuous solutionspath conservative schemesgas dynamics in Lagrangian coordinates

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) First-order hyperbolic systems (35L40)

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In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems -- second-order extension ⋮ Fifth-order A-WENO schemes based on the path-conservative central-upwind method ⋮ Artificial viscosity to get both robustness and discrete entropy inequalities ⋮ On the numerical solution of nonconservative hyperbolic systems of equations ⋮ Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ Numerical path preserving Godunov schemes for hyperbolic systems ⋮ Cell-centered Lagrangian scheme for multi-material flows with pressure equilibration ⋮ Well-balanced path-conservative central-upwind schemes based on flux globalization

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