A note on the effect of artificial viscosity on solutions of conservation laws

DOI10.1016/0168-9274(96)00006-2zbMath0860.65079OpenAlexW2082323359MaRDI QIDQ1924830

Gunilla Kreiss, Gunilla Efraimsson

Publication date: 21 April 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(96)00006-2

zbMATH Keywords

shockfinite difference methodartificial viscositylinearizationconservation lawBurgers' equationboundary layernonlinear hyperbolic systemsgas dynamic (Euler) equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Analysis of stretched grids as buffer zones in simulations of wave propagation, A 2D analysis of the influence of artificial viscosity terms on solutions of the Euler equations, Upwind schemes for the wave equation in second-order form, Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation

Cites Work

• Adaptive mesh refinement for hyperbolic partial differential equations
• The behavior of flux difference splitting schemes near slowly moving shock waves
• An adaptive grid finite difference method for conservation laws
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Construction of explicit and implicit symmetric TVD schemes and their applications
• An adaptive moving grid method for one-dimensional systems of partial differential equations
• An adaptive mesh-moving and refinement procedure for one-dimensional conservation laws
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• Riemann Solvers, the Entropy Condition, and Difference
• Local Uniform Mesh Refinement with Moving Grids
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