On the numerical dissipation of high resolution schemes for hyperbolic conservation laws

DOI10.1016/0021-9991(88)90154-4zbMath0646.65073OpenAlexW2004099609MaRDI QIDQ1104059

Claus-Dieter Munz

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90154-4

zbMATH Keywords

hyperbolic conservation lawshigh resolution schemesTVD schemesshock-capturing finite difference schemesUNO schemes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (8)

Multidomain solution of advection problems by Chebyshev spectral collocation ⋮ The application of the locally implicit method to upwind TVD schemes ⋮ Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems ⋮ The design of characterizing-integral schemes and the application to the shallow water wave problems ⋮ Analysis of an algorithm for the Galerkin-characteristic method ⋮ TVD finite point method for two-dimensional conservation equation ⋮ Unnamed Item ⋮ The extension of incompressible flow solvers to the weakly compressible regime

Cites Work

• Unnamed Item
• Unnamed Item
• Fully multidimensional flux-corrected transport algorithms for fluids
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• The method of fractional steps for conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Pseudo-unsteady difference schemes for discontinuous solutions of steady- state, one-dimensional fluid dynamics problems
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High Resolution Schemes and the Entropy Condition
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Riemann Solvers, the Entropy Condition, and Difference
• Convergence of Generalized MUSCL Schemes
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• The artificial compression method for computation of shocks and contact discontinuities. I. Single conservation laws
• Systems of conservation laws
• On the Construction and Comparison of Difference Schemes
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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