An immersed boundary method for mass transfer across permeable moving interfaces

DOI10.1016/j.jcp.2014.08.025zbMath1349.76465OpenAlexW1976629764MaRDI QIDQ349638

Xiao-Bo Gong, Hua-xiong Huang, Zhao-xin Gong

Publication date: 5 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.2014.08.025

zbMATH Keywords

Navier-Stokes equationsmass transferadvection-diffusion equationimmersed boundary methodpermeable interfaces

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Physiological flows (76Z05) Physiological flow (92C35) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (7)

Accuracy improvement for immersed boundary method using Lagrangian velocity interpolation ⋮ An immersed boundary method with implicit body force for compressible viscous flow ⋮ Development of a high-order continuous Galerkin sharp-interface immersed boundary method and its application to incompressible flow problems ⋮ A phase field model for mass transport with semi-permeable interfaces ⋮ 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 ⋮ Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids

Cites Work

• Unnamed Item
• An immersed boundary method for restricted diffusion with permeable interfaces
• A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change
• The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement
• Implicit second-order immersed boundary methods with boundary mass
• Accurate solutions of moving boundary problems using the enthalpy method
• Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
• A volume of fluid based method for fluid flows with phase change
• An overview of the immersed interface method and its applications
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes
• A simplified MAC technique for incompressible fluid flow calculations
• Flow patterns around heart valves: A numerical method
• Numerical simulation of lateral migration of red blood cells in Poiseuille flows
• IMMERSED BOUNDARY METHODS
• The immersed boundary method
• Axisymmetric motion of a file of red blood cells through capillaries
• Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
• Dynamic motion of red blood cells in simple shear flow
• Modeling Water Transport across Elastic Boundaries Using an Explicit Jump Method

This page was built for publication: An immersed boundary method for mass transfer across permeable moving interfaces