Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows

被引：0
|
作者：
Bubenchikov, A. M. [1 ]
Korobitsyn, V. A. [1 ]
Korobitsyn, D. V. [2 ]
Kotov, P. P. [1 ]
Shokin, Yu. I. [3 ]
机构：
[1] Tomsk State Univ, Tomsk 634050, Russia
[2] Tomsk State Univ Control Syst & Radio Elect, Tomsk 634050, Russia
[3] Russian Acad Sci, Inst Computat Technol, Siberian Branch, Novosibirsk 630090, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 07期
关键词：
incompressible fluid; free surface; toroidal bubble; change in connectedness; circulation; discontinuity of velocity potential; axial symmetry; numerical simulation; Laplace's equation;
D O I：
10.1134/S0965542514070057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The ascend and evolution of an axisymmetric gas bubble are studied numerically using an inviscid incompressible potential flow model. The volume of the gas bubble varies adiabatically. The transition from a simply connected bubble to a doubly connected toroidal one and its interaction with the free surface are simulated. The change in connectedness is accompanied by a nonzero velocity circulation and a discontinuous velocity potential occurring over an arbitrary toroidal liquid surface enclosing the bubble.
引用
收藏
页码：1167 / 1175
页数：9
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