A boundary element method for Stokes flows with interfaces

DOI10.1016/j.jcp.2017.12.004zbMath1380.76075OpenAlexW2773370354MaRDI QIDQ1701071

Edoardo Alinovi, Alessandro Bottaro

Publication date: 22 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.12.004

zbMATH Keywords

boundary element methodsuperhydrophobic surfacesenforcement of mass conservation

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (10)

Shear flow over a surface containing a groove covered by an incompressible surfactant phase ⋮ Poiseuille flow of a Bingham fluid in a channel with a superhydrophobic groovy wall ⋮ Early stage of bubble spreading in a viscous ambient liquid ⋮ Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels ⋮ A generalized finite difference method for solving Stokes interface problems ⋮ On the influence of the modelling of superhydrophobic surfaces on laminar–turbulent transition ⋮ Stokes flow in a microchannel with superhydrophobic walls ⋮ Flow over natural or engineered surfaces: an adjoint homogenization perspective ⋮ Laminar–turbulent transition in channel flow with superhydrophobic surfaces modelled as a partial slip wall ⋮ Fast multipole boundary element method (FMM/BEM) for the solution of the Navier-Stokes in primitive variables based on the Burton and Miller formulation in two-dimensions

Uses Software

• BEMLIB
• OpenFOAM

Cites Work

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• Volume of fluid (VOF) method for the dynamics of free boundaries
• Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow
• Boundary elements method for microfluidic two-phase flows in shallow channels
• Flows satisfying mixed no-slip and no-shear conditions
• Expansion of a compressible gas bubble in Stokes flow
• Effective velocity boundary condition at a mixed slip surface
• Nonsingular boundary integral method for deformable drops in viscous flows
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Numerical simulation of a concentrated emulsion in shear flow
• Geometric transition in friction for flow over a bubble mattress
• Engineering Flows in Small Devices: Microfluidics Toward a Lab-on-a-Chip

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