English

Modelling and simulation of a wave energy converter

Analysis of PDEs 2021-02-05 v1 Numerical Analysis Numerical Analysis

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 the characteristic equations of Riemann invariants to obtain the discretized transmission conditions and we implement the Lax-Friedrichs scheme to get numerical solutions.

Keywords

Cite

@article{arxiv.2102.02275,
  title  = {Modelling and simulation of a wave energy converter},
  author = {Edoardo Bocchi and Jiao He and Gaston Vergara-Hermosilla},
  journal= {arXiv preprint arXiv:2102.02275},
  year   = {2021}
}

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16 pages