Dec 3 – 4, 2020
Virtuel
Europe/Paris timezone

MODELLING AND SIMULATION OF AN OWC

Dec 4, 2020, 10:30 AM
30m
Zoom (Virtuel)

Zoom

Virtuel

Salle 1 : https://zoom.us/j/94929969299 Salle 2 : https://zoom.us/j/98740649245 Salle 3 : https://zoom.us/j/99534523679

Speaker

Gaston Vergara-Hermosilla

Description

Abstract
In this work we present the mathematical model and simulations of a particular wave energy converter, the so-called oscillating water column. In this device, waves governed by the one- dimensional nonlinear shallow water equations arrive from offshore, encounter a step in the bottom and then arrive into a chamber to change the volume of the air to activate the turbine. The system is reformulated as two transmission problems: one is related to the wave motion over the stepped topography and the other one is related to the wave-structure interaction at the entrance of the chamber. We finally use Riemann invariants to discretize the transmission conditions and the Lax-Friedrichs scheme to get numerical solutions.

Main references
[1] A. Elhanafi, A. Fleming, G. Macfarlane, and Z. Leong, Numerical energy balance analysis for an onshore oscillating water column–wave energy converter, Energy, 116 (2016), pp. 539–557.
[2] - , Numerical hydrodynamic analysis of an offshore stationary–floating oscillating water column–wave energy converter using cfd, International Journal of Naval Architecture and Ocean Engineering, 9 (2017), pp. 77–99.
[3] D. Evans, Wave-power absorption by systems of oscillating surface pressure distributions, Journal of Fluid Mechanics, 114 (1982), pp. 481–499.
[4] G. Vergara-Hermosilla, D. Matignon, and M. Tucsnak, Well-posedness and input-output stability for a system modelling
rigid structures floating in a viscous fluid, submitted, 2019.
[5] T. Iguchi and D. Lannes, Hyperbolic free boundary problems and applications to wave-structure interactions, preprint arXiv:1806.07704, 2018.
[6] D. Lannes, On the dynamics of floating structures, Annals of PDE, 3 (2017), p. 11.
[7] D. Lannes and L. Weynans, Generating boundary conditions for a boussinesq system, preprint arXiv:1902.03973, 2019.
[8] G. Vergara-Hermosilla, D. Matignon, and M. Tucsnak, Well-posedness and input-output stability for a system modelling
rigid structures floating in a viscous fluid, submitted, 2019.

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