Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems

DOI10.1016/0377-0427(90)90284-7zbMath0704.65067OpenAlexW2011541904MaRDI QIDQ917237

Riccardo Fazio

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90284-7

zbMATH Keywords

shocknumerical resultswave propagationdiscontinuity velocitydiscrete perturbation stability analysisFirst-order quasilinear hyperbolic systemsphysical examplessingular ordinary differential systems

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Similarity and numerical analysis for free boundary value problems^∗ ⋮ A noniterative transformation method applied to two-point boundary-value problems ⋮ A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material ⋮ Normal variables transformation method applied to free boundary value problems^∗

Cites Work

• On the breaking of water waves in a channel of arbitrarily varying depth and width
• Group properties of u//(tt)=[f(u)u//x//x]
• Similarity analysis and nonlinear wave propagation
• Longitudinal wave propagation on a traveling threadline. II
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