An improved boundary element formulation for the motion of spherical bubbles

被引：0
|
作者：
Dobrushkin, V. A. [1 ]
Maxey, M. [1 ]
机构：
[1] Brown Univ, Providence, RI 02912 USA
来源：
DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 09期
关键词：
Integral Equation; Boundary Element; Boundary Element Method; Neumann Problem; Boundary Integral Equation;
D O I：
10.1134/S0012266108090115
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We suggest a modified boundary element method for modeling the potential flow caused by the motion of many spherical bubbles. The problem for the fluid velocity potential is reduced to a Fredholm integral equation of the second kind. The kernel of that integral equation has no singularity; as a result, its numerical solution does not encounter any difficulties. The matrix representation of the integral equation is diagonally dominant and is well suited to handle multiple bubble system.
引用
收藏
页码：1305 / 1312
页数：8
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