Small Water Channel Network for Designing Wave Fields in Shallow Water
Small Water Channel Network for Designing Wave Fields in Shallow Water
复制标题
用于设计浅水波场的小型水道网络
DOI：
10.1017/jfm.2018.355
复制
发表时间：
2018
影响因子：
3.7
通讯作者：
Takahito Iida and Masashi Kashiwagi
中科院分区：
文献类型：
--
作者：
Iida Takahito;Kashiwagi Masashi;Takahito Iida and Masashi Kashiwagi
提出了一种用于浅水区设计的小水渠网络，并应用该网络实现了水波隐身。设计公式来源于水道中的波浪和电路中的波浪的类比；将传输线超材料的方法扩展到水波，并使用水渠作为传输线的替代方案。水通道的大小比波长足够小，并且若干通道作为网络周期性地连接。这种小的水道网络制造了人工波场，并适用于较宽的频带。首先，为了验证所提出的设计方法，我们制作了一个等效于恒深浅水空间的各向同性网络。由于阻抗匹配，界面处无波反射。然后，将提出的理论应用于设计一个各向异性的小水道网络来演示浅水隐身。圆柱体周围的网状物使其不受波浪的影响。通过求解基于线性势理论的边值问题，用数值计算证实了这两种情况。
A small water channel network is proposed for designing shallow water fields, and the network is applied to attain water wave cloaking. The design formula is derived from an analogy between waves in a water channel and in an electric circuit; an approach of a transmission line metamaterial is extended to water waves and the water channel is used as an alternative of the transmission line. The size of the water channel is sufficiently smaller than the wavelength and a number of the channels are periodically connected as a network. This small water channel network makes artificial wave fields, and it works for a wide band of frequencies. First, we make an isotropic network equivalent to a shallow water space with constant depth in order to validate the proposed design method. It shows no wave reflection at the interface due to impedance matching. After that, the proposed theory is applied to designing an anisotropic small water channel network for demonstrating shallow water cloaking. A cylinder is cloaked from waves by the network surrounding the cylinder. Both cases are confirmed with numerical computations by solving the boundary-value problem based on linear potential theory.