Bubble dynamics of Rayleigh-Taylor flow

被引:4
作者
Ni, Weidan [1 ]
Zhang, Yousheng [1 ,2 ,3 ]
Zeng, Qinghong [1 ]
Tian, Baolin [1 ,2 ,3 ]
机构
[1] Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
[2] Peking Univ, Ctr Appl Phys & Technol, HEDPS, Beijing 100871, Peoples R China
[3] Peking Univ, Coll Engn, Beijing 100871, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
RICHTMYER-MESHKOV INSTABILITY; MERGER MODEL; NUMERICAL SIMULATIONS; MIXING RATES; GROWTH; SIMILARITY; DEPENDENCE; REGIME; FLUIDS;
D O I
10.1063/5.0022213
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
A flow of semi-bounded Rayleigh-Taylor instability (SB-RTI) is constructed and simulated to understand the bubble dynamics of the multi-mode Rayleigh-Taylor mixing (MM-RTM). SB-RTI is similar to the well-known single-mode Rayleigh-Taylor instability (SM-RTI), and it acts as a bridge from SM-RTI to MM-RTM. This idea is inspired by Meshkov's recent experimental observation on the structure of the mixing zone of MM-RTM [E. E. Meshkov, J. Exp. Theor. Phys. 126, 126-131 (2018)]. We suppose that the bubble mixing zone consists of two parts, namely, the turbulent mixing zone at the center and the laminar-like mixing zone nearby the edge. For the latter, the bubble fronts are situated in an environment similar to that of SM-RTI bubbles in the potential flow stage, but with a much looser environment between neighboring bubbles. Therefore, a semi-bounded initial perturbation is designed to produce a bubble environment similar to that in MM-RTM. A non-dimensional potential speed of FrpSB approximate to 0.63 is obtained in SB-RTI, which is larger than that of FrpSM=0.56 in SM-RTI. Combining this knowledge and the widely reported quadratic growth coefficient of alpha (b) approximate to 0.025 in the short-wavelength MM-RTM, we derive beta equivalent to D(t)/h(b)(t) approximate to (1 + A)/4. This relation is consistent with the MM-RTM simulations from Dimonte et al. [Phys. Fluids 16, 1668-1693 (2004)]. The current three-dimensional and previous two-dimensional results [Zhou et al., Phys. Rev. E 97, 033108 (2018)] support a united mechanism of bubble dynamics in short-wavelength MM-RTM.
引用
收藏
页数:10
相关论文
共 61 条
[1]   Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio [J].
Abarzhi, SI ;
Nishihara, K ;
Glimm, J .
PHYSICS LETTERS A, 2003, 317 (5-6) :470-476
[2]   SCALE-INVARIANT MIXING RATES OF HYDRODYNAMICALLY UNSTABLE INTERFACES [J].
ALON, U ;
HECHT, J ;
MUKAMEL, D ;
SHVARTS, D .
PHYSICAL REVIEW LETTERS, 1994, 72 (18) :2867-2870
[3]   POWER LAWS AND SIMILARITY OF RAYLEIGH-TAYLOR AND RICHTMYER-MESHKOV MIXING FRONTS AT ALL DENSITY RATIOS [J].
ALON, U ;
HECHT, J ;
OFER, D ;
SHVARTS, D .
PHYSICAL REVIEW LETTERS, 1995, 74 (04) :534-537
[4]   SCALE-INVARIANT REGIME IN RAYLEIGH-TAYLOR BUBBLE-FRONT DYNAMICS [J].
ALON, U ;
SHVARTS, D ;
MUKAMEL, D .
PHYSICAL REVIEW E, 1993, 48 (02) :1008-1014
[5]   SUPERNOVA 1987A [J].
ARNETT, WD ;
BAHCALL, JN ;
KIRSHNER, RP ;
WOOSLEY, SE .
ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 1989, 27 :629-700
[6]   3D Simulations to investigate initial condition effects on the growth of Rayleigh-Taylor mixing [J].
Banerjee, Arindam ;
Andrews, Malcolm J. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (17-18) :3906-3917
[7]   SUPERNOVA MECHANISMS [J].
BETHE, HA .
REVIEWS OF MODERN PHYSICS, 1990, 62 (04) :801-866
[8]   Growth rates of the ablative Rayleigh-Taylor instability in inertial confinement fusion [J].
Betti, R ;
Goncharov, VN ;
McCrory, RL ;
Verdon, CP .
PHYSICS OF PLASMAS, 1998, 5 (05) :1446-1454
[9]   A three-dimensional renormalization group bubble merger model for Rayleigh-Taylor mixing [J].
Cheng, BL ;
Glimm, J ;
Sharp, DH .
CHAOS, 2002, 12 (02) :267-274