Linear stability analysis in fluid--structure interaction with transpiration. I: Formulation and mathematical analysis.

DOI10.1016/j.cma.2003.07.001zbMath1054.74016OpenAlexW2079423302MaRDI QIDQ1420998

Miguel Ángel Fernández, Le Tallec, Patrick

Publication date: 23 January 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.07.001

zbMATH Keywords

Linear stabilitySpectral analysisLinearizationFluid-structure interactionTranspiration

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55)

Related Items (13)

Linearized hydro-elasticity: a numerical study ⋮ Feedback stabilization of a linear hydro-elastic system ⋮ Numerical study of the vibrations of an elastic container filled with an inviscid fluid ⋮ Fluid–structure stability analyses and nonlinear dynamics of flexible splitter plates interacting with a circular cylinder flow ⋮ 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 ⋮ Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach ⋮ Instabilities and sensitivities in a flow over a rotationally flexible cylinder with a rigid splitter plate ⋮ Linear stability analysis of strongly coupled fluid-structure problems with the arbitrary-Lagrangian-Eulerian method ⋮ Stability on time-dependent domains ⋮ On the linear global stability analysis of rigid-body motion fluid–structure-interaction problems ⋮ Well-Posedness Analysis for a Linearization of a Fluid-Elasticity Interaction ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

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