An approximate solution of one-dimensional piston problem

DOI10.1007/BF00949078zbMath0836.76045OpenAlexW1978109284MaRDI QIDQ1905426

Phoolan Prasad, M. P. Lazarev, S. K. Singh

Publication date: 10 January 1996

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00949078

zbMATH Keywords

compatibility conditionsshock dynamicsHarten's high resolution TVD scheme

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (5)

Shock propagation in gas dynamics: Explicit form of higher order compatibility conditions ⋮ An approximate solution for spherical and cylindrical piston problem ⋮ Calculation of shocks using solutions of systems of ordinary differential equations ⋮ The stochastic piston problem ⋮ Two-term approximation of a model equation using the new theory of shock dynamics

Cites Work

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• Kinematics of a multi-dimensional shock of arbitrary strength in an ideal gas
• A new theory of shock dynamics. I: Analytic considerations
• High resolution schemes for hyperbolic conservation laws
• Implicit total variation diminishing (TVD) schemes for steady-state calculations
• Ray method of calculating the wave front intensity in nonlinearly elastic material
• Propagation of shock waves in an isentropic, nonviscous gas
• Shock propagation in gas dynamics: Explicit form of higher order compatibility conditions
• ON AN INFINITE SYSTEM OF COMPATIBILITY CONDITIONS ALONG A SHOCK RAY

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