Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection

Esteban G. Tabak, Rodolfo R. Rosales

Research output: Contribution to journalArticlepeer-review

Abstract

Some phenomena involving intersection of weak shock waves at small angles are considered: the focusing of curved fronts at arêtes, the transition between regular and irregular reflection of oblique shock waves on rigid walls and the diffraction patterns arising behind obstacles. The intersection of three shock waves plays a central role in most of these phenomena, giving rise to the von Neumann paradox of oblique shock reflection and to the curious transition between linear and fully nonlinear focusing investigated experimentally by Sturtevant and Kulkarny [J. Fluid Mech. 73, 651 (1976)]. This "triple-point paradox" is studied in the context of an asymptotic model, and a solution is proposed that involves an unusual kind of singularity.

Original languageEnglish (US)
Pages (from-to)1874-1892
Number of pages19
JournalPhysics of Fluids
Volume6
Issue number5
DOIs
StatePublished - 1994

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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