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A numerical model for determining the motion of a bubble close to a fixed rigid structure in a fluid
Author(s) -
Harris P. J.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330904
Subject(s) - bubble , motion (physics) , boundary (topology) , mathematics , fluid–structure interaction , equations of motion , integral equation , boundary value problem , classical mechanics , mechanics , mathematical analysis , physics , finite element method , thermodynamics
This paper is concerned with the problem of modelling the motion of a bubble close to a rigid structure in an infinite fluid. It is well known that the boundary integral method is a powerful technique for modelling the motion of a single bubble in a fluid. In this paper we shall present a modified boundary integral method for modelling the motion of a bubble close to a fixed finite rigid structure, and discuss a numerical scheme for solving the resulting integral equation for three‐dimensional problems. Finally, we illustrate our method with some typical numerical results.