波浪能转换器的建模与仿真
Modelling and simulation of a wave energy converter
摘要：
在这项工作中，我们提出的数学模型和模拟一个特定的波能转换器，所谓的振荡水柱。在该装置中，由一维非线性浅水方程控制的波浪从海上到达，遇到底部的台阶，然后到达腔室以改变空气的体积来启动涡轮机。该系统被重新表述为两个传输问题：一个是有关的波浪运动的阶梯地形和其他一个是有关的波结构的相互作用在腔室的入口处。最后利用Riemann不变量的特征方程得到离散化的传输条件，并采用Lax-Friedrichs格式得到数值解。
英文摘要：
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.
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