A Finite Difference Scheme for a System of Two Conservation Laws with Artificial Viscosity

DOI10.2307/2006454zbMath0447.65056OpenAlexW4240600481MaRDI QIDQ3893253

David Hoff

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006454

zbMATH Keywords

conservation lawsartificial viscosityerror boundsimplicit finite difference schemeRiemann invariantsLax-Friedrichs schemeisentropic gas flowmixed initial-value Dirichlet problem

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Invariant Regions for Systems of Conservation Laws, Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems, Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations, Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements, Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems, On differentiable local bounds preserving stabilization for Euler equations, A constructive theory for shock-free, isentropic flow, The Suliciu approximate Riemann solver is not invariant domain preserving

Cites Work

• On some systems of quasilinear parabolic equations of the divergence type
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