An introduction to the article ``Reminiscences about difference schemes by S. K. Godunov

DOI10.1006/jcph.1999.6270zbMath0936.65105OpenAlexW1999496291MaRDI QIDQ1302898

Bram van Leer

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6270

zbMATH Keywords

hyperbolic systemscomputational fluid dynamicsGodunov-type methodswave structure

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Development of contemporary mathematics (01A65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) History of numerical analysis (65-03)

Related Items (3)

Isentropic correction for collocated Lagrange-Remap scheme ⋮ Convergence of Second-Order Schemes for Isentropic Gas Dynamics ⋮ On the Convergence of Difference Approximations to Scalar Conservation Laws

Uses Software

• HLLE
• SHASTA

Cites Work

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• Non-oscillatory central differencing for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Reminiscences about difference schemes
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
• Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
• Towards the ultimate conservative difference scheme I. The quest of monotonicity
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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