A higher-order Godunov method for the hyperbolic equations modelling shock dynamics

DOI10.1098/RSPA.1999.0356zbMath0959.76054OpenAlexW2057082447MaRDI QIDQ4260219

Donald W. Schwendeman

Publication date: 7 September 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0356

zbMATH Keywords

conservation lawswave propagationfinite volume methodshock capturing methodgeometrical shock dynamicsWhitham's theoryupwind directionconverging-diverging ductinviscid supersonic flowsecond-order Godunov's methodsteady-state hyperbolic equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Supersonic flows (76J20)

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