Geodesic
Modelling and simulation of a wave energy converter
Edoardo Bocchi1 ; Jiao He2 ; Gastón Vergara-Hermosilla3
1Departamento de Análisis Matemático & Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Universidad de Sevilla, Avenida Reina Mercedes, 41012 Sevilla, España
2Laboratoire de Mathématiques et Modélisation d’Evry (LaMME), Université d’Evry Val d’Essonne, 23 Boulevard de France, 91037, Evry Cedex, France
3Institut 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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     author = {Edoardo Bocchi and Jiao He and Gast\'on Vergara-Hermosilla},
     title = {Modelling and simulation of a wave energy converter},
     journal = {ESAIM. Proceedings},
     pages = {68--83},
     year = {2021},
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     doi = {10.1051/proc/202107005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202107005/}
}
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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

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