Volume 70, 2021CEMRACS 2019 - Geophysical Fluids, Gravity Flows
|Page(s)||68 - 83|
|Published online||01 June 2021|
Modelling and simulation of a wave energy converter
1 Departamento de Análisis Matemático & Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Universidad de Sevilla, Avenida Reina Mercedes, 41012 Sevilla, España
2 Laboratoire de Mathématiques et Modélisation d’Evry (LaMME), Université d’Evry Val d’Essonne, 23 Boulevard de France, 91037, Evry Cedex, France
3 Institut de Mathématiques de Bordeaux (IMB), Université de Bordeaux, 351 Cours de la Libération, 33405 Talence Cedex, France
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 the characteristic equations of Riemann invariants to obtain the discretized transmission conditions and we implement the Lax-Friedrichs scheme to get numerical solutions.
© EDP Sciences, SMAI 2021
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