On solving the Riemann problem for non-conservative hyperbolic systems of partial differential equations

DOI10.1016/J.COMPFLUID.2020.104675OpenAlexW3043741583WikidataQ115358422 ScholiaQ115358422MaRDI QIDQ2019975

I. S. Men'shov, Alexey Serezhkin

Publication date: 22 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2020.104675

zbMATH Keywords

Euler equationsRiemann problemnon-conservative hyperbolic systemsBaer-Nunziato equationspath-conservative based methodsPrandtl-Reuss elastoplasticity

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (6)

Численное моделирование динамических процесcов в среде мелкодисперсных твердых частиц ⋮ A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows ⋮ HLLEPJ and HLLCEPJ Riemann solvers for the wilkins model of elastoplasticity ⋮ Numerical and analytical investigation of shock wave processes in elastoplastic media ⋮ Validation of a computational algorithm based on the discontinuous Galerkin method for the Baer-Nunziato relaxation model ⋮ Numerical study of multiphase hyperbolic models

Uses Software

• HLLC
• HLLE

Cites Work

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• A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
• HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
• Restoration of the contact surface in the HLL-Riemann solver
• Definition and weak stability of nonconservative products
• A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
• The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
• Godunov method for nonconservative hyperbolic systems
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Finite Volume Methods for Hyperbolic Problems
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

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