Incremental displacement-correction schemes for the explicit coupling of a thin structure with an incompressible fluid

DOI10.1016/j.crma.2011.03.001zbMath1344.76026OpenAlexW2091846723MaRDI QIDQ533995

Miguel Ángel Fernández

Publication date: 10 May 2011

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

Full work available at URL: https://hal.inria.fr/inria-00542917/file/RR-7474.pdf

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (16)

A mixed elasticity formulation for fluid–poroelastic structure interaction ⋮ A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model ⋮ A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary ⋮ An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure ⋮ Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction ⋮ Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation ⋮ Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem ⋮ Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis ⋮ Displacement-velocity correction schemes for incompressible fluid-structure interaction ⋮ Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures ⋮ Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques ⋮ Combined interface boundary condition method for fluid-rigid body interaction ⋮ A partitioned scheme for fluid-composite structure interaction problems ⋮ A stable partitioned FSI algorithm for incompressible flow and deforming beams ⋮ A new partitioned staggered scheme for flexible multibody interactions with strong inertial effects ⋮ A partitioned numerical scheme for fluid–structure interaction with slip

Cites Work

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• Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
• Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
• Cardiovascular mathematics. Modeling and simulation of the circulatory system
• Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis
• An overview of projection methods for incompressible flows
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems

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