Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid

DOI10.4310/CMS.2015.v13.n7.a9zbMath1329.35241arXiv1404.5519OpenAlexW1676790667MaRDI QIDQ902311

Robert Nürnberg, John W. Barrett, Harald Garcke

Publication date: 8 January 2016

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5519

zbMATH Keywords

stabilityfinite elementsparametric methodsurface viscosityincompressible two-phase flowBoussinesq-Scriven surface fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

A numerical method for the simulation of viscoelastic fluid surfaces ⋮ Stable finite element approximations of two-phase flow with soluble surfactant ⋮ A stable numerical method for the dynamics of fluidic membranes ⋮ A numerical approach for fluid deformable surfaces ⋮ On singular limit equations for incompressible fluids in moving thin domains ⋮ Comparative Simulations of Taylor Flow with Surfactants Based on Sharp- and Diffuse-Interface Methods ⋮ Navier-Stokes equations in a curved thin domain. III: Thin-film limit ⋮ Incompressible two-phase flows with an inextensible Newtonian fluid interface

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