Evolution of weak discontinuity waves in self-similar flows and formation of secondary shocks. The point explosion model

DOI10.1007/BF00948313zbMath0506.76072OpenAlexW1965765227MaRDI QIDQ1837064

F. Ferraioli, N. Virgopia

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00948313

zbMATH Keywords

nonstationarycharacteristic linequasi-linear hyperbolic equationssecondary waveadiabatic coefficientdensity distribution of undisturbed mediumforward-facing and backward-facing compression wavespoint explosion modelpower law of radial distancesecondary shockshock transition equationsspherically symmetric self-similar flowweak pressure wave

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99)

Related Items (4)

Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows ⋮ Interaction between a shock and an acceleration wave in a perfect gas for increasing shock strength ⋮ Group analysis approach in magnetohydrodynamics: Weak discontinuity propagation in a non-constant state ⋮ Interaction of a weak discontinuity with elementary waves of Riemann problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the evolution law of weak discontinuities for hyperbolic quasi-linear systems
• On the breakdown of the continuity in the motion of a compressible fluid with variable density in an ambient medium
• Non-linear wave propagation with applications to physics and magnetohydrodynamics
• On the Propagation of the Hydromagnetic Waves in Compressible Ionized Fluid
• Hyperbolic systems of conservation laws II
• Study of self-similar and steady flows near singularities
• The propagation of weak discontinuities in quasi-linear hyperbolic systems with discontinuous coefficients part I - fundamental theory^†

This page was built for publication: Evolution of weak discontinuity waves in self-similar flows and formation of secondary shocks. The point explosion model