Introduction to ``Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method

DOI10.1006/jcph.1997.5757zbMath0939.76062OpenAlexW2019125242WikidataQ63044275 ScholiaQ63044275MaRDI QIDQ1379894

J. Ning

Publication date: 19 April 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5757

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

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Uses Software

• SHASTA

Cites Work

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• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• 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
• Time-Split Finite-Volume Method for Three-Dimensional Blunt-Body Flow
• Difference schemes for hyperbolic equations with high order of accuracy
• Towards the ultimate conservative difference scheme I. The quest of monotonicity
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works