Reduced formulation of a steady fluid-structure interaction problem with\n parametric coupling

2010/05/19 by Toni Lassila, Gianluigi Rozza, Lassila, Toni +1
Engineering · Physics and Astronomy · #74F10 #78M34 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1005.3384

openalex publication_date 2010/05/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We propose a two-fold approach to model reduction of fluid-structure\ninteraction. The state equations for the fluid are solved with reduced basis\nmethods. These are model reduction methods for parametric partial differential\nequations using well-chosen snapshot solutions in order to build a set of\nglobal basis functions. The other reduction is in terms of the geometric\ncomplexity of the moving fluid-structure interface. We use free-form\ndeformations to parameterize the perturbation of the flow channel at rest\nconfiguration. As a computational example we consider a steady fluid-structure\ninteraction problem: an incmpressible Stokes flow in a channel that has a\nflexible wall.\n

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