Numerical solution of quasi-conservative hyperbolic systems - the cylindrical shock problem

DOI10.1016/0021-9991(72)90087-3zbMath0243.65071OpenAlexW2014196625MaRDI QIDQ2554604

Moshe Goldberg, Saul S. Abarbanel

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-9991(72)90087-3

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Applications to the sciences (65Z05)

Related Items (13)

Implementation of the GRP scheme for computing radially symmetric compressible fluid flows ⋮ Numerical solution of converging shock problem ⋮ A numerical study of a converging cylindrical shock problem in relaxing gas flow ⋮ Optimal modeling of an arterial system ⋮ A flux-coordinate-splitting technique for flows with shocks and contact discontinuities ⋮ Numerical investigations of converging cylindrical and spherical shock waves ⋮ A Note on the Stability of an Iterative Finite-Difference Method for Hyperbolic Systems ⋮ A numerical study of a converging cylindrical shock ⋮ Saul Abarbanel; half a century of scientific work ⋮ Stable Approximations for Hyperbolic Systems with Moving Internal Boundary Conditions ⋮ On the classification of discontinuities by the pattern recognition methods ⋮ Classification of difference schemes of gas dynamics by the method of differential approximation. I. One-dimensional case ⋮ Higher-order solver for cylindrical shock problem

Cites Work

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• Accurate partial difference methods. II: Non-linear problems
• Conservation form of the equations of hydrodynamics in curvilinear coordinate systems
• A numerical method for a converging cylindrical shock
• Systems of conservation laws
• Nonlinear shallow fluid flow over an isolated ridge
• An Iterative Finite-Difference Method for Hyperbolic Systems

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