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Nonlinear analysis of shock–vortex interaction: Mach stem formation

Published online by Cambridge University Press:  13 March 2013

Paul Clavin
Paul Clavin*
Affiliation:
Aix-Marseille Université, CNRS, IRPHE, F-13013 Marseille, France
*
†Email address for correspondence: clavin@irphe.univ-mrs.fr
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Abstract

Shock–vortex interaction is analysed for strong gaseous shock waves and a ratio of specific heats close to unity. A nonlinear wave equation for the wrinkles of the shock front is obtained for weak vortices. The solution breaks down after a finite time and the slope of the front develops jump discontinuities, indicating the formation of Mach stems. Shock–turbulence interactions are also briefly discussed.

JFM classification

Nonlinear Dynamical Systems: Nonlinear Dynamical Systems Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 721 , 25 April 2013 , pp. 324 - 339
Copyright
©2013 Cambridge University Press

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