Predictability and uncertainty in flow–structure interactions.

*(English)*Zbl 1045.76549Summary: Direct numerical simulation advances in the field of flow–structure interactions are reviewed both from a deterministic and stochastic point of view. First, results of complex wake flows resulting from vibrating cylindrical bluff bodies in linear and exponential sheared flows are presented. On the structural side, nonlinear modeling of cable structures with variable tension is derived and applied to the problem of a catenary riser of complex shape. Finally, a direct approach using polynomial chaos to modeling uncertainty associated with flow–structure interaction is also described. The method is applied to the two-dimensional flow–structure interaction of an elastically mounted cylinder with random structural parameters subject to vortex-induced vibrations.

##### MSC:

76M35 | Stochastic analysis applied to problems in fluid mechanics |

76-05 | Experimental work for problems pertaining to fluid mechanics |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

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\textit{D. Lucor} and \textit{G. E. Karniadakis}, Eur. J. Mech., B, Fluids 23, No. 1, 41--49 (2004; Zbl 1045.76549)

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##### References:

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