Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension

DOI10.1002/fld.185zbMath0996.76068OpenAlexW2039263326WikidataQ60590144 ScholiaQ60590144MaRDI QIDQ2770309

Zhilin Li, Sharon R. Lubkin

Publication date: 7 February 2002

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.185

zbMATH Keywords

immersed interface methodvariable surface tensionincompressible Stokes equationsdroplet boundarydecoupled jump conditions

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items

A finite element technique for multifluid incompressible flow using Eulerian grids., Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems, Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces, A staggered grid‐based explicit jump immersed interface method for two‐dimensional Stokes flows, Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities, MIB Galerkin method for elliptic interface problems, MIB method for elliptic equations with multi-material interfaces, High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources, On the analysis of heterogeneous fluids with jumps in the viscosity using a discontinuous pressure field, Computational methods for optical molecular imaging, Some numerical techniques for solving elliptic interface problems

Cites Work

• Numerical analysis of blood flow in the heart
• A note on immersed interface method for three-dimensional elliptic equations
• Microstructural evolution in orthotropic elastic media
• The effects of surfactants on drop deformation and breakup
• A numerical study of the deformation and burst of a viscous drop in an extensional flow
• Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
• On the Deformation of a Viscous Droplet Caused by Variable Surface Tension
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
• A Fast Iterative Algorithm for Elliptic Interface Problems
• Capillary breakup of a viscous thread surrounded by another viscous fluid
• A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
• A boundary condition capturing method for multiphase incompressible flow.