Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows

A. Chpoun; G. Ben-Dor

doi:10.1007/BF01419001

Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows

A. Chpoun
, G. Ben-Dor

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

Numerical calculations based on the Navier-Stokes equations are carried out to investigate the reflection of shock waves over straight reflecting surfaces in steady flows. The results for a flow Mach number of M₀=4.96 confirm the recent experimental findings of Chpoun et al. (1995) concerning the transition from regular to Mach reflection. Numerical calculations as well as experimental results show a hysteresis phenomenon during this transition and the regular reflection is found to be stable in the dual-solution domain in which theoretically both regular and Mach reflection wave configurations are possible.

Original language	English
Pages (from-to)	199-203
Number of pages	5
Journal	Shock Waves
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/BF01419001
State	Published - 1 Dec 1995

Keywords

Hysteresis
Mach reflection
Regular reflection

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy

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10.1007/BF01419001

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title = "Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows",

abstract = "Numerical calculations based on the Navier-Stokes equations are carried out to investigate the reflection of shock waves over straight reflecting surfaces in steady flows. The results for a flow Mach number of M0=4.96 confirm the recent experimental findings of Chpoun et al. (1995) concerning the transition from regular to Mach reflection. Numerical calculations as well as experimental results show a hysteresis phenomenon during this transition and the regular reflection is found to be stable in the dual-solution domain in which theoretically both regular and Mach reflection wave configurations are possible.",

keywords = "Hysteresis, Mach reflection, Regular reflection",

author = "A. Chpoun and G. Ben-Dor",

year = "1995",

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T1 - Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows

AU - Chpoun, A.

AU - Ben-Dor, G.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - Numerical calculations based on the Navier-Stokes equations are carried out to investigate the reflection of shock waves over straight reflecting surfaces in steady flows. The results for a flow Mach number of M0=4.96 confirm the recent experimental findings of Chpoun et al. (1995) concerning the transition from regular to Mach reflection. Numerical calculations as well as experimental results show a hysteresis phenomenon during this transition and the regular reflection is found to be stable in the dual-solution domain in which theoretically both regular and Mach reflection wave configurations are possible.

AB - Numerical calculations based on the Navier-Stokes equations are carried out to investigate the reflection of shock waves over straight reflecting surfaces in steady flows. The results for a flow Mach number of M0=4.96 confirm the recent experimental findings of Chpoun et al. (1995) concerning the transition from regular to Mach reflection. Numerical calculations as well as experimental results show a hysteresis phenomenon during this transition and the regular reflection is found to be stable in the dual-solution domain in which theoretically both regular and Mach reflection wave configurations are possible.

KW - Hysteresis

KW - Mach reflection

KW - Regular reflection

UR - https://www.scopus.com/pages/publications/21844509676

U2 - 10.1007/BF01419001

DO - 10.1007/BF01419001

M3 - Article

AN - SCOPUS:21844509676

SN - 0938-1287

VL - 5

SP - 199

EP - 203

JO - Shock Waves

JF - Shock Waves

IS - 4

ER -

Numerical confirmation of the hysteresis phenomenon in the regular to the Mach reflection transition in steady flows

Abstract

Keywords

ASJC Scopus subject areas

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