Relation between first and second triple-point trajectory angles in double Mach reflection

AIAA Journal ◽  
1981 ◽  
Vol 19 (4) ◽  
pp. 531-533 ◽  
Author(s):  
G. Ben-Dor
Keyword(s):  
Triple Point ◽  
Mach Reflection ◽  
Double Mach Reflection

Transverse waves in numerical simulations of cellular detonations

2001 ◽  
Vol 447 ◽  
pp. 31-51 ◽  
Author(s):  
GARY J. SHARPE
Keyword(s):  
Numerical Simulations ◽  
Triple Point ◽  
Mach Reflection ◽  
Physical Structure ◽  
Structure Evolution ◽  
Transverse Waves ◽  
Strong Transverse ◽  
Cellular Detonations ◽  
Double Mach Reflection ◽  
Steady Detonation

In this paper the structure of strong transverse waves in two-dimensional numerical simulations of cellular detonations is investigated. Resolution studies are performed and it is shown that much higher resolutions than those generally used are required to ensure that the flow and burning structures are well resolved. Resolutions of less than about 20 numerical points in the characteristic reaction length of the underlying steady detonation give very poor predictions of the shock configurations and burning, with the solution quickly worsening as the resolution drops. It is very difficult and dangerous to attempt to identify the physical structure, evolution and effect on the burning of the transverse waves using such under-resolved calculations. The process of transverse wave and triple point collision and reflection is then examined in a very high-resolution simulation. During the reflection, the slip line and interior triple point associated with the double Mach configuration of strong transverse waves become detached from the front and recede from it, producing a pocket of unburnt gas. The interaction of a forward facing jet of exploding gas with the emerging Mach stem produces a new double Mach configuration. The formation of this new Mach configuration is very similar to that of double Mach reflection of an inert shock wave reflecting from a wedge.

Further Results on Guderley Mach Reflection and the Triple Point Paradox

2015 ◽  
Vol 64 (3) ◽  
pp. 721-744 ◽  
Author(s):  
Allen M. Tesdall ◽  
Richard Sanders ◽  
Nedyu Popivanov
Keyword(s):  
Triple Point ◽  
Mach Reflection

scholarly journals On Alternative Setups of the Double Mach Reflection Problem

2018 ◽  
Vol 78 (2) ◽  
pp. 1291-1303 ◽  
Author(s):  
U. S. Vevek ◽  
B. Zang ◽  
T. H. New
Keyword(s):  
Mach Reflection ◽  
Double Mach Reflection

The thermal nature of the triple point of a Mach reflection

1987 ◽  
Vol 30 (5) ◽  
pp. 1287 ◽  
Author(s):  
G. Ben-Dor ◽  
K. Takayama ◽  
C. E. Needham
Keyword(s):  
Triple Point ◽  
Mach Reflection

Analytical solution of double-Mach reflection

AIAA Journal ◽  
1980 ◽  
Vol 18 (9) ◽  
pp. 1036-1043 ◽  
Author(s):  
G. Ben-Dor
Keyword(s):  
Analytical Solution ◽  
Mach Reflection ◽  
Double Mach Reflection

The von Neumann paradox in weak shock reflection

2000 ◽  
Vol 422 ◽  
pp. 193-205 ◽  
Author(s):  
A. R. ZAKHARIAN ◽  
M. BRIO ◽  
J. K. HUNTER ◽  
G. M. WEBB
Keyword(s):  
Numerical Solution ◽  
Euler Equations ◽  
Triple Point ◽  
Numerical Solutions ◽  
Mach Reflection ◽  
Weak Shock ◽  
Complete Agreement ◽  
Von Neumann ◽  
Weak Shock Reflection ◽  
Expansion Fan

We present a numerical solution of the Euler equations of gas dynamics for a weak-shock Mach reflection in a half-space. In our numerical solutions, the incident, reflected, and Mach shocks meet at a triple point, and there is a supersonic patch behind the triple point, as proposed by Guderley. A theoretical analysis supports the existence of an expansion fan at the triple point, in addition to the three shocks. This solution is in complete agreement with the numerical solution of the unsteady transonic small-disturbance equations obtained by Hunter & Brio (2000), which provides an asymptotic description of a weak-shock Mach reflection. The supersonic patch is extremely small, and this work is the first time it has been resolved in a numerical solution of the Euler equations. The numerical solution uses six levels of grid refinement around the triple point. A delicate combination of numerical techniques is required to minimize both the effects of numerical diffusion and the generation of numerical oscillations at grid interfaces and shocks.

The Mach reflection triple-point locus for internal and external conical diffraction of a moving shock wave

Shock Waves ◽  
1992 ◽  
Vol 2 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Z. Y. Han ◽  
B. E. Milton ◽  
K. Takayama
Keyword(s):  
Shock Wave ◽  
Triple Point ◽  
Mach Reflection
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