A numerical method for mass transfer by a thin moving membrane with selective permeabilities

DOI10.1016/J.JCP.2014.12.048zbMath1351.74084OpenAlexW1984062811MaRDI QIDQ729025

Shintaro Takeuchi, Suguru Miyauchi, Takeo Kajishima

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.12.048

zbMATH Keywords

finite element methodmass transfertransient statediscontinuitypermeable membrane

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flow (92C35)

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A fast and scalable mesh generation method of densely packed hollow fibers for membrane separations: application to direct contact membrane distillation ⋮ An immersed boundary method with implicit body force for compressible viscous flow ⋮ A numerical method for interaction problems between fluid and membranes with arbitrary permeability for fluid ⋮ An immersed boundary method for mass transfer through porous biomembranes under large deformations ⋮ Effects of cell permeability on distribution and penetration of drug into biological tissues: a multiscale approach

Cites Work

• An immersed boundary method for restricted diffusion with permeable interfaces
• Numerical analysis of blood flow in the heart
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• The immersed boundary method
• An Immersed Interface Method for Incompressible Navier--Stokes Equations
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• Modeling Water Transport across Elastic Boundaries Using an Explicit Jump Method
• 2–D Parachute Simulation by the Immersed Boundary Method

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