In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems -- second-order extension

DOI10.1016/J.JCP.2022.111152OpenAlexW3157637942WikidataQ115571324 ScholiaQ115571324MaRDI QIDQ2137955

Christophe Chalons, Ernesto Pimentel-García, T. Morales de Luna, Manuel J. Castro, C. Parés-Madroñal

Publication date: 11 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00424

zbMATH Keywords

finite volume methodsnonconservative hyperbolic systemsshock-capturing methodspath-conservative methodsin-cell reconstructionMUSCL-Hancock

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (7)

Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models ⋮ 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 ⋮ Well-balanced path-conservative central-upwind schemes based on flux globalization

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