An Unconditionally Energy Stable Immersed Boundary Method with Application to Vesicle Dynamics

DOI10.4208/eajam.250713.150813azbMath1426.76540OpenAlexW2171741479MaRDI QIDQ5417784

Wei-Fan Hu, Ming-Chih Lai

Publication date: 22 May 2014

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.250713.150813a

zbMATH Keywords

immersed boundary methodNavier-Stokes flowunconditionally energy stableinextensible vesicle

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (6)

Arbitrarily high-order linear energy stable schemes for gradient flow models ⋮ A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations ⋮ An energy stable immersed boundary method for deformable membrane problem with non-uniform density and viscosity ⋮ Simulation of a Soap Film Möbius Strip Transformation ⋮ Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models ⋮ Unconditionally Energy Stable Schemes for the Inextensible Interface Problem with Bending

Uses Software

• FISHPAK

Cites Work

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