BEM-based numerical study of three-dimensional compressible bubble dynamics in Stokes flow

DOI10.1134/S0965542514090024zbMath1329.76219MaRDI QIDQ889167

Yu. A. Itkulova, O. A. Abramova, I. Sh. Akhatov, Nail A. Gumerov

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

boundary element methodStokes equationsshear flowacoustic fieldbubble dynamicsLorentz reciprocity principle

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Liquid-gas two-phase flows, bubbly flows (76T10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Stokes flow over a cavity on a superhydrophobic surface containing a gas bubble ⋮ Dynamics and stability of air bubbles in a porous medium ⋮ Boundary element simulation of axisymmetric viscous creeping flows under gravity in free surface domains

Cites Work

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• A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation
• Expansion of a compressible gas bubble in Stokes flow
• A numerical study of the deformation and burst of a viscous drop in an extensional flow
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Dynamic simulations of flows of bubbly liquids at large Reynolds numbers
• Computation of the pressure inside bubbles and pores in Stokes flow
• A Spectrally Accurate Boundary Integral Method for Interfacial Velocities in Two-dimensional Stokes Flow

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