VARIABLE TOPOLOGICAL BOUNDARY ELEMENT METHOD FOR THE MODELLING OF BUBBLE MOTION
During the collapse of an initially spherical bubble near boundaries, a high-speed jet is likely to form due to the action of boundaries, gravity or other perturbations. This re-entrant jet impact and pieces through the bubble during the final stage of bubble collapse and a toroidal bubble is formed. In this paper, a Variable Topological Boundary Element Method (VTBEM) is employed to simulate the final stage of bubble collapse. When the jet impact occurs, a vortex ring is introduced into the toroidal bubble to take account into the transition of fluid domain from singly-connected to doubly-connected structure. This improved approach permits the continuous simulation of the jet impact and the subsequent rebounding process of toroidal bubble. Comparison are made between the numerical results and the existing experimental data, proving the feasibility and robustness of the numerical method. Meanwhile an extension of the Kelvin’s theorem of the conservation of circulation to the case that topological change occurs is made.
variable topological boundary integral method bubble jetting toroidal bubble
Z.Zong Z.R.Li L.Sun
State Key Laboratory of Structural Analysis for Industrial Equipment.School of Naval Architecture, D School of Naval Architecture, Dalian University of Technology, Dalian, 116023, P.R.China
国际会议
长沙
英文
1-11
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）