New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems

DOI10.1007/978-3-319-57394-6_3zbMath1365.76142OpenAlexW2619445110MaRDI QIDQ5271101

José M. Gallardo, Antonio Marquina, Manuel J. Castro

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_3

zbMATH Keywords

hyperbolic systemsincomplete Riemann solversOsher-Solomon methodrelativistic magnetohydrodynamics

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Uses Software

• PVM

Cites Work

• A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Phase appearance or disappearance in two-phase flows
• Krylov--Riemann Solver for Large Hyperbolic Systems of Conservation Laws
• A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Polynomial upwind schemes for hyperbolic systems
• Approximate Osher-Solomon Schemes for Hyperbolic Systems
• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows
• Numerical hydrodynamics in special relativity

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