The bubble velocity research of Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers

被引：12

作者：

Tao Ye-Sheng ^{[1
]}

Wang Li-Feng ^{[1
,2
,3
]}

Ye Wen-Hua ^{[2
,3
]}

Zhang Guang-Cai ^{[2
]}

Zhang Jian-Cheng ^{[4
]}

Li Ying-Jun ^{[1
]}

机构：

[1] China Univ Min & Technol, State Key Lab GeoMech & Deep Underground Engn, Beijing 100083, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China

[4] Beijing Forestry Univ, Beijing 100083, Peoples R China

来源：

ACTA PHYSICA SINICA | 2012年 / 61卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Rayleigh-Tayor instability; Richtmyer-Meshkov instability; Atwood number; nonlinear; FLUIDS;

D O I：

10.7498/aps.61.075207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the Layzer's bubble model to the cases of two-dimensional and three-dimensional analytical models of an arbitrary interface Atwood number and obtain self-consistent equations. The generalized model provides a continuous bubble evolution from the earlier exponential growth to the nonlinear regime. The asymptotic bubble velocities are obtained for the Rayleigh-Taylor(RT) and Richtmyer-Meshkov(RM) instabilities. We also report on the two-dimensional and the three-dimensional analytical expressions for the evolution of the RT bubble velocity.

引用

页数：7

共 23 条

[1] Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio
Abarzhi, SI
Nishihara, K
Glimm, J
[J]. PHYSICS LETTERS A, 2003, 317 (5-6) : 470 - 476
[2] Atzeni Stefano, 2003, INERTIAL FUSION BEAM, P286
[3] Commmittee on High Energy Density Plasma Physics Plasma Science Committee Board on Physics and Astronomy Division on Engineering and Physical Sciences, 2001, FRONT HIGH EN DENS P
[4] Analytical model of nonlinear, single-mode, classical Rayleigh-Taylor instability at arbitrary Atwood numbers
Goncharov, VN
[J]. PHYSICAL REVIEW LETTERS, 2002, 88 (13) : 4 - 134502
[5] 3-DIMENSIONAL RAYLEIGH-TAYLOR INSTABILITY .1. WEAKLY NONLINEAR-THEORY
JACOBS, JW
CATTON, I
[J]. JOURNAL OF FLUID MECHANICS, 1988, 187 : 329 - 352
[6] ON THE INSTABILITY OF SUPERPOSED FLUIDS IN A GRAVITATIONAL FIELD
LAYZER, D
[J]. ASTROPHYSICAL JOURNAL, 1955, 122 (01): : 1 - 12
[7] The physics basis for ignition using indirect-drive targets on the National Ignition Facility
Lindl, JD
Amendt, P
Berger, RL
Glendinning, SG
Glenzer, SH
Haan, SW
Kauffman, RL
Landen, OL
Suter, LJ
[J]. PHYSICS OF PLASMAS, 2004, 11 (02) : 339 - 491
[8] Mikaelian Karning O., 2003, PHYS REV E, VE 67
[9] Single-mode dynamics of the Rayleigh-Taylor instability at any density ratio
Ramaprabhu, P
Dimonte, G
[J]. PHYSICAL REVIEW E, 2005, 71 (03):
[10] Limits of the potential flow approach to the single-mode Rayleigh-Taylor problem
Ramaprabhu, P.
Dimonte, Guy
Young, Yuan-Nan
Calder, A. C.
Fryxell, B.
[J]. PHYSICAL REVIEW E, 2006, 74 (06):

← 1 2 3 →