Deriving Adequate Formulations for Fluid-Structure Interaction Problems: from ALE to Transpiration

DOI10.1080/12506559.2000.10511481zbMath1010.74080OpenAlexW91937349MaRDI QIDQ4762160

Thierry Fanion, Le Tallec, Patrick, Miguel Ángel Fernández

Publication date: 21 June 2001

Published in: Revue Européenne des Éléments Finis (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00072774/file/RR-3879.pdf

zbMATH Keywords

asymptotic expansionlarge deformationfluid-structure interactionfinite difference approximationmoving gridslinearisationtime discretisationtotal energy conservationarbitrary Euler-Lagrange formulationfirst-order backward Euler schemetotally Lagrangian formulationtranspiration interface boundary conditions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (13)

Linearized hydro-elasticity: a numerical study ⋮ Fluid–structure stability analyses and nonlinear dynamics of flexible splitter plates interacting with a circular cylinder flow ⋮ Truncation error and energy conservation for fluid-structure interactions. ⋮ Linear stability analysis in fluid--structure interaction with transpiration. I: Formulation and mathematical analysis. ⋮ Linear stability analysis in fluid-structure interaction with transpiration. II: Numerical analysis and applications. ⋮ Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints ⋮ A second-order time-accurate ALE Lagrange-Galerkin method applied to wind engineering and control of bridge profiles ⋮ An overview of the combined interface boundary condition method for fluid-structure interaction ⋮ Finite-volume solution of two-dimensional compressible flows over dynamic adaptive grids ⋮ Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics ⋮ Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions ⋮ On the linear global stability analysis of rigid-body motion fluid–structure-interaction problems ⋮ A new spectral problem in fluid-structure interaction with transpiration

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