Modelling bubble clusters in compressible liquids

被引:91
作者
Fuster, D. [1 ]
Colonius, T. [1 ]
机构
[1] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA
关键词
bubble dynamics; cavitation; multiphase flow; NUMERICAL SIMULATIONS; ACOUSTIC CAVITATION; AVERAGED EQUATIONS; DYNAMICS; MOTION; WAVES; PROPAGATION;
D O I
10.1017/jfm.2011.380
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present a new model for bubbly cavitating flows. Based on volume-averaged equations, a subgrid model is added to account for a bubble, or multiple bubbles, within each computational cell. The model converges to the solution of ensemble-averaged bubbly flow equations for weak oscillations and monodisperse systems. In the other extreme, it also converges to the theoretical solution for a single oscillating bubble, and captures the bubble radius evolution and the pressure disturbance induced in the liquid. A substantial saving of computational time is achieved compared to ensemble-averaged models for polydisperse mixtures.
引用
收藏
页码:352 / 389
页数:38
相关论文
共 64 条
[1]   Bjerknes force threshold for stable single bubble sonoluminescence [J].
Akhatov, I ;
Mettin, R ;
Ohl, CD ;
Parlitz, U ;
Lauterborn, W .
PHYSICAL REVIEW E, 1997, 55 (03) :3747-3750
[2]   Towards a theory of self-organization phenomena in bubble-liquid mixtures [J].
Akhatov, I ;
Parlitz, U ;
Lauterborn, W .
PHYSICAL REVIEW E, 1996, 54 (05) :4990-5003
[3]   Numerical simulation of shock propagation in a polydisperse bubbly liquid [J].
Ando, Keita ;
Colonius, Tim ;
Brennen, Christopher E. .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2011, 37 (06) :596-608
[4]   Improvement of acoustic theory of ultrasonic waves in dilute bubbly liquids [J].
Ando, Keita ;
Colonius, Tim ;
Brennen, Christopher E. .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2009, 126 (03) :EL69-EL74
[5]  
[Anonymous], 1992, ART SCI COMPUTING
[6]  
[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]
[7]   Effect of nuclei concentration on cavitation cluster dynamics [J].
Arora, M. ;
Ohl, C. D. ;
Lohse, D. .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2007, 121 (06) :3432-3436
[8]   Meshless methods: An overview and recent developments [J].
Belytschko, T ;
Krongauz, Y ;
Organ, D ;
Fleming, M ;
Krysl, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47
[9]   Giant bubble pinch-off [J].
Bergmann, R ;
van der Meer, D ;
Stijnman, M ;
Sandtke, M ;
Prosperetti, A ;
Lohse, D .
PHYSICAL REVIEW LETTERS, 2006, 96 (15)
[10]   A NUMERICAL INVESTIGATION OF NONSPHERICAL REBOUNDING BUBBLES [J].
BEST, JP ;
KUCERA, A .
JOURNAL OF FLUID MECHANICS, 1992, 245 :137-154