An added-mass free semi-implicit coupling scheme for fluid-structure interaction

DOI10.1016/j.crma.2008.11.003zbMath1156.74051OpenAlexW2056687526MaRDI QIDQ1000666

Franz Chouly, Matteo Astorino, Miguel Ángel Fernández

Publication date: 10 February 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.11.003

zbMATH Keywords

viscous incompressible fluidChorin-Temam projection scheme

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 solid mechanics (74S20)

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Uses Software

• FreeFem++

Cites Work

• Cardiovascular mathematics. Modeling and simulation of the circulatory system
• An added-mass free semi-implicit coupling scheme for fluid-structure interaction
• Stabilized explicit coupling for fluid-structure interaction using Nitsche's method
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems
• A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
• A finite element method for domain decomposition with non-matching grids
• A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD