On the Fourier representation of elastic immersed boundaries

DOI10.1002/fld.2007zbMath1422.74033OpenAlexW1995737588MaRDI QIDQ3650314

François Pacull, Marc Garbey

Publication date: 14 December 2009

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.2007

zbMATH Keywords

PDEfluid-structure interactionimmersed boundary methodNavier Stokeselastic membranelow Reynolds flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Boundary element methods applied to problems in solid mechanics (74S15) Membranes (74K15)

Uses Software

• NITSOL

Cites Work

• Unnamed Item
• Fully conservative higher order finite difference schemes for incompressible flow
• Numerical approximations of singular source terms in differential equations
• IMMERSED BOUNDARY METHODS
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• The immersed boundary method
• A versatile incompressible Navier–Stokes solver for blood flow application
• On the Gibbs Phenomenon and Its Resolution
• NITSOL: A Newton Iterative Solver for Nonlinear Systems
• An Immersed Interface Method for Incompressible Navier--Stokes Equations
• On some Aitken‐like acceleration of the Schwarz method
• A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
• Fluid flow in collapsible elastic tubes: a three-dimensional numerical model

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