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TECHNICAL PAPERS

Application of Arbitrary Lagrange Euler Formulations to Flow-Induced Vibration Problems

[+] Author and Article Information
E. Longatte

Electricité de France-R&D Division, Fluid Mechanics and Heat Transfer Department, 6 Quai Watier, 78400 Chatou, France

Z. Bendjeddou

Laboratoire de Mécanique de Lille, UMR 8107, Université des Sciences et Technologies de Lille, Boulevard Paul Langevin, 59655 Villeneuve d’Ascq, France

M. Souli

Université des Sciences et Technologies de Lille 1, 1, Boulevard Paul Langevin, Cité Scientifique, 59655 Lille, France

J. Pressure Vessel Technol 125(4), 411-417 (Nov 04, 2003) (7 pages) doi:10.1115/1.1613950 History: Received May 27, 2003; Revised June 02, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

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Figures

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Lift force on a flexible tube belonging to a fixed tube bundle in cross flow
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Critical flow velocity generating structure instability development
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Computational process for flow and structure motion coupling
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Representation of Eulerian, Lagrangian, and arbitrary reference domains Ωsm, and Ωa whose velocities are respectively 0, v, and w
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Experimental setup section: in-line tube bundle including 7×7 fixed tubes except the middle tube that is moving in presence of cross flow
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Supporting process of the middle flexible moving tube
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Fluid computational domain providing a simplified representation of the experimental setup depicted in Fig. 5. Infinite tube bundle is supposed. Periodic inlet and outlet conditions. Middle flexible tube and fixed neighbors. Motion in grad direction and oscillation in lift direction.
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Fluid computational domain mesh section at time step n=0. Near-wall refinement near the flexible tube.
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Mesh distortion with the standard ALE formulation (λ constant in the mesh diffusion Eq. 17). Simulation of a very high magnitude tube displacement in cross flow (in case of dynamic instability development). Big and non homogeneous mesh distortion around the tube.
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Mesh distortion with improved ALE formulation (λ nonconstant in the mesh diffusion Eq. 16: λ set from 1 to 106 near the tube and to 0 in other regions). Simulation of a very high magnitude tube displacement in cross flow (in case of dynamic instability development). No mesh distortion around the tube.
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Comparison between local mesh distortion obtained with standard ALE formulation (left) and improved ALE formulation (right). Homogeneous mesh distortion around the tube with improved ALE method.

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