Complete Riemann solvers for the hyperbolic GPR model of continuum mechanics

DOI10.26516/1997-7670.2021.35.60zbMath1465.76059OpenAlexW3136860862MaRDI QIDQ2027343

Uuriintsetseg Ariunaa, Michael Dumbser, Tsedendamba Sarantuya

Publication date: 26 May 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1369

zbMATH Keywords

Navier-Stokes equationsHLLEM Riemann solverOsher-Rusanov scheme

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite volume methods applied to problems in solid mechanics (74S10)

Cites Work

• A hyperbolic model for viscous Newtonian flows
• A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
• Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
• A fast numerical scheme for the Godunov-Peshkov-Romenski model of continuum mechanics
• A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
• High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws
• High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

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