Geodesic
Modelling and simulation of a wave energy converter
Edoardo Bocchi1 ; Jiao He2 ; Gastón Vergara-Hermosilla3
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
ESAIM. Proceedings, Tome 70 (2021), pp. 68-83.

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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.
DOI : 10.1051/proc/202107005

Edoardo Bocchi 1 ; Jiao He 2 ; Gastón Vergara-Hermosilla 3

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 
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     title = {Modelling and simulation of a wave energy converter},
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Edoardo Bocchi; Jiao He; Gastón Vergara-Hermosilla. Modelling and simulation of a wave energy converter. ESAIM. Proceedings, Tome 70 (2021), pp. 68-83. doi : 10.1051/proc/202107005. http://geodesic.mathdoc.fr/articles/10.1051/proc/202107005/

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