Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos

[+] Author and Article Information
Dongbin Xiu, Didier Lucor, C.-H. Su, George Em Karniadakis

Division of Applied Mathematics, Brown University, Providence, RI 02912

J. Fluids Eng 124(1), 51-59 (Oct 29, 2001) (9 pages) doi:10.1115/1.1436089 History: Received September 13, 2001; Revised October 29, 2001
Copyright © 2002 by ASME
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The Askey scheme of orthogonal polynomials
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Solution with Gaussian random inputs by Hermite-chaos. Left: solution of the dominant random modes, right: error convergence of the mean and the variance.
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Schematic of the domain for flow past an elastically mounted circular cylinder
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Dominant random modes of the cylinder motion. Upper: modes of the cross-flow displacement y/D; lower: modes of the lift coefficient CL.
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Variance of the cylinder motion. Upper: variance of the cross-flow displacement y/D, lower, variance of the lift coefficient CL.
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Regions of uncertainty: instantaneous rms of vorticity
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Instantaneous pressure distribution along the surface of the cylinder; error-bar: stochastic solution, dashed line: deterministic solution



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