Weak-strong hyperbolic splitting for simulating conservation laws

DOI10.1007/s12572-015-0135-0zbMath1342.76082OpenAlexW974172149MaRDI QIDQ531098

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 August 2016

Published in: International Journal of Advances in Engineering Sciences and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12572-015-0135-0

zbMATH Keywords

central solverconvection-celerity splittingconvection-pressure splittingexact capturing of steady discontinuities without entropy fixesweak-strong hyperbolic splitting

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws ⋮ Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes ⋮ Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux ⋮ Godunov-type schemes for the pressureless gas dynamics and related models

Uses Software

• HE-E1GODF

Cites Work

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• A central Rankine-Hugoniot solver for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Upwind methods for hyperbolic conservation laws with source terms
• A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions

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