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Fluid-Structure Interaction eects on the pitching and heaving deformable plate dynamics in a uid ow

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Fluid-Structure Interaction eects on the pitching and heaving deformable plate dynamics

in a uid ow

P. Brousseau 1,2, , M. Benaouicha 1,2 , S. Guillou 2

1

Segula Technologies, Naval and Energy engineering Research & Innovation Unit, 19 rue d'Arras, 92000 Nanterre, France

2

Cherbourg University Laboratory of Applied Sciences LUSAC - University of Caen Normandy, 60 rue Max-Pol Fouchet, 50130 Cherbourg-Octeville France

Numerous prototypes of underwater current energy harvester have been developed in the past decade. Most of them are based on rotating [1, 2] or oscillating [3] technologies which undergo signicant water loads. While the rst technology is the most advanced, the latter features inter- esting advantages such as a larger number of potential extraction sites and has shown promising performance [4]. The hostile environment can be damaging and can strongly aect the dynamics of the structure. This is why, uid-structure interaction applications are generating more and more interest in numerous elds of research and industry. Lately, with the increase of computing power and the progress made in partitioned coupling procedures, realistic and ecient simula- tions are now viable at full scale [5]. Finally, many studies can be found on 2D non deformable oscillating structure [6]. However, few of them took into account the uid-induced deformation of the solid due to Fluid-Structure Interactions (FSI).

This study presents a numerical investigation of a 2D exible at plate dynamics, immersed in a uid ow with a Reynolds number, based on its chords, of 2000 . The plate is animated by a forced sinusoidal pitching and heaving movement. Various materials of the structure are studied, from the rigid material to a more exible one. The Fluid-Structure Interaction (FSI) eects are taken into account using a partitioned implicit coupling scheme. The Arbitrary Lagrangian- Eulerian (ALE) formulation of the Navier-Stokes equations is applied and the anisotropic diu- sion equation is solved to determine the displacement of the uid domain mesh. Both the viscous incompressible Navier-Stokes equations and the linear elasticity equation are solved using nite volume method. Analysis are based on the hydrodynamic loads, and thereby on the dynamic and the power coecient of the structure.

∗ . Corresponding author : [email protected]

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Figure 1 Pressure and Cauchy stress elds of a pitching exible at plate.

Références

[1] U. Ahmed, D. D. Apsley, I. Afgan, T. Stallard, and P. K. Stansby. Fluctuating loads on a tidal turbine due to velocity shear and turbulence : Comparison of CFD with eld data.

Renewable Energy, 112 :235246, November 2017.

[2] M. Belhache, S. Guillou, P. Grangeret, D. Mouazé, and A. Santa-Cruz. Wake numerical study of a vertical marine current turbine. La Houille Blanche, (6) :7478.

[3] T. Kinsey and G. Dumas. Optimal Operating Parameters for an Oscillating Foil Turbine at Reynolds Number 500,000. AIAA Journal, 52(9) :18851895, April 2014.

[4] William McKinney and James DeLaurier. Wingmill : An Oscillating-Wing Windmill. Journal of Energy, 5(2) :109115, March 1981.

[5] A. Korobenko, J. Yan, S. M. I. Gohari, S. Sarkar, and Y. Bazilevs. FSI Simulation of two back-to-back wind turbines in atmospheric boundary layer ow. Computers & Fluids, 158(Supplement C) :167175, November 2017.

[6] Qing Xiao and Qiang Zhu. A review on ow energy harvesters based on apping foils. Journal of Fluids and Structures, 46(Supplement C) :174191, 2014.

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Références

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