Interface conditions for Stokes equations with a discontinuous viscosity and surface sources

DOI10.1016/j.aml.2005.02.041zbMath1096.76014OpenAlexW2089348021MaRDI QIDQ2488699

Zhilin Li, Kazufumi Ito

Publication date: 11 May 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.041

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items

Implementation of the ghost fluid method for free surface flows in polyhedral finite volume framework, A second order virtual node algorithm for Stokes flow problems with interfacial forces, discontinuous material properties and irregular domains, First order system least squares method for the interface problem of the Stokes equations, An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis, Surface couplings for subdomain-wise isoviscous gradient based Stokes finite element discretizations, An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces, An augmented approach for Stokes equations with a discontinuous viscosity and singular forces

Cites Work

• Unnamed Item
• Unnamed Item
• Remark on the pressure boundary condition for the projection method
• Fundamentals of two-fluid dynamics. Part II: Lubricated transport, drops and miscible liquids
• Improved volume conservation in the computation of flows with immersed elastic boundaries
• Level-set function approach to an inverse interface problem
• 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 remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane