A comparison of boundary integral methods for studying the motion of a two-dimensional bubble in an infinite fluid

DOI10.1016/0045-7825(93)90109-BzbMath0767.76031MaRDI QIDQ1802840

J. M. Boulton-Stone

Publication date: 29 June 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Green's formulasource methoddipole and vortex methodsstability of the bubblestability of the methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary element methods applied to problems in fluid mechanics (76M15) Hydrodynamic stability (76E99) Incompressible inviscid fluids (76B99)

Related Items (8)

Application of the boundary integral method to the interaction of rising two-dimensional deformable gas bubbles ⋮ The effect of viscoelasticity on a rising gas bubble ⋮ Simulation of three-dimensional bubbles using desingularized boundary integral method ⋮ Solution of a two-dimensional bubble shape in potential flow by the method of fundamental solutions ⋮ An indirect boundary element method for three-dimensional explosion bubbles. ⋮ A hybrid Lagrangian–Eulerian particle‐level set method for numerical simulations of two‐fluid turbulent flows ⋮ Nonlinear oscillations and collapse of elongated bubbles subject to weak viscous effects ⋮ Numerical modeling of single bubble rising in metal liquid based on electrical field change and boundary element method

Cites Work

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• Transient cavities near boundaries. Part 1. Rigid boundary
• The stability of a large gas bubble rising through liquid
• On the Point Vortex Method
• The deformation of steep surface waves on water - I. A numerical method of computation
• Generalized vortex methods for free-surface flow problems
• The initial motion of a gas bubble formed in an inviscid liquid Part 1. The two-dimensional bubble
• The rise of a cylindrical bubble in an inviscid liquid
• Integral equation methods in potential theory. II
• Vortex ring bubbles

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