Linear Rayleigh-Taylor instability analysis of double-shell Kidder’s self-similar implosion solution

2010 ◽  
Vol 31 (4) ◽  
pp. 425-438
Author(s):  
Jun Hu ◽  
Xie-yuan Yin ◽  
Yi-hong Hang ◽  
Shu-dao Zhang
2017 ◽  
Vol 140 (5) ◽  
Author(s):  
Assaf Shimony ◽  
Guy Malamud ◽  
Dov Shvarts

A comprehensive numerical study was performed in order to examine the effect of density ratio on the mixing process inside the mixing zone formed by Rayleigh–Taylor instability (RTI). This effect exhibits itself in the mixing parameters and increase of the density of the bubbles. The motivation of this work is to relate the density of the bubbles to the growth parameter for the self-similar evolution, α, we suggest an effective Atwood formulation, found to be approximately half of the original Atwood number. We also examine the sensitivity of the parameters above to the dimensionality (two-dimensional (2D)/three-dimensional (3D)) and to numerical miscibility.


2005 ◽  
Vol 95 (26) ◽  
Author(s):  
O. Sadot ◽  
V. A. Smalyuk ◽  
J. A. Delettrez ◽  
D. D. Meyerhofer ◽  
T. C. Sangster ◽  
...  

2011 ◽  
Vol 23 (9) ◽  
pp. 2365-2368
Author(s):  
蒋炜 Jiang Wei ◽  
赵宗清 Zhao Zongqing ◽  
袁永腾 Yuan Yongteng ◽  
郝轶聃 Hao Yidan ◽  
缪文勇 Miao Wenyong

2000 ◽  
Vol 18 (2) ◽  
pp. 175-181 ◽  
Author(s):  
N.N. ANUCHINA ◽  
V.I. VOLKOV ◽  
V.A. GORDEYCHUK ◽  
N.S. ES'KOV ◽  
O.S. IIYUTINA ◽  
...  

A 3D numerical study of the turbulent phase of the evolution of Rayleigh–Taylor instability (RTI) was undertaken using the MAH-3 code. A criterion and a technique have been developed that can be used for diagnostics in computational experiments studying flow transition to self-similar turbulence. It has been found that a criterion of the flow transition to the self-similar turbulence is Kolmogorov's self-similar distribution of the turbulent kinetic energy together with the square law of mixing zone extension. The technique is based on the analysis of the evolution of the dimensionless power spectrum of specific kinetic energy. Three phases of nonlinear mixing are found: “relict chaos”, “formation of classical energy spectrum” and “spectrum degradation.” Determination of a proportionality factor for a square law within the time range incorporating inertial interval gives the value of α ≈ 0.07.


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