### 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 language | English (US) |
---|---|

Pages (from-to) | 1874-1892 |

Number of pages | 19 |

Journal | Physics of Fluids |

Volume | 6 |

Issue number | 5 |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Engineering(all)
- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*6*(5), 1874-1892.

**Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection.** / Tabak, Esteban; Rosales, Rodolfo R.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 6, no. 5, pp. 1874-1892.

}

TY - JOUR

T1 - Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection

AU - Tabak, Esteban

AU - Rosales, Rodolfo R.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028083681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028083681&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 1874

EP - 1892

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

ER -