Application Of The Boundary Element Method To
2D And 3D Bubble Dynamics
Author(s)
Z. Fu & V. Popov
Abstract
The Boundary Element Method (BEM) was applied to the solution of bubble
dynamics in an ideal fluid. Two-dimensional (2D) and three-dimensional (3D)
models have been developed and the results have been compared to the
analytical solution. The results show that only the 3D model can correctly
represent the physics of the problem. The influence of the model parameters on
the solution has been investigated for a single bubble.
Keywords: BEM, numerical simulation, bubble dynamics.
1 Introduction
A great amount of work has been conducted in the area of bubble dynamics
which can be seen in the review papers by Plesset and Prosperetti [1] and Feng
and Leal [2]. During the course of bubble oscillation, jet formation is a common
phenomenon. As pointed out by Tsiglifis and Pelekasis [3], even when the
bubble shape is initially very close to spherical, asymmetric collapse happens at
the following stage and it gives rise to jet formation. The bubbles in the acoustic
field can oscillate or they can collapse producing high temperatures and possibly
jets. The creation of high temperature spots can help chemical reactions and this
phenomenon is used in sonochemical reactors.
With advancement of the computational technology, numerical studies have
been carried out in order to understand the bubble dynamics. One of the
numerical techniques used is the Boundary Element Method (BEM) which
possesses unique advantages in respect to other numerical techniques for these
types of problems. Indirect BEM has been employed by Wang and Khoo [4] who
pointed out that both source and dipole distribution methods encounter
Keywords
BEM, numerical simulation, bubble dynamics
Related Book
Other papers in this volume
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