Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves  

作　　者：Xue Guan Bo-ya Xiao Yu Liu Meng Chen 

机构地区：[1]College of Mechanical and Electrical Engineering,Hohai University,Changzhou,213200,China [2]Key Laboratory of Microgravity,Institute of Mechanics,Chinese Academy of Sciences,Beijing,100190,China

出　　处：《Journal of Hydrodynamics》2024年第5期925-933,共9页水动力学研究与进展B辑（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11972034);the Youth Innovation Promotion Association of the Chinese Academy of Science(Grant No.2020018).

摘　　要：Compared with periodic structures,quasi-periodic structures have superior band gap properties and topological interface states.In this paper,a one-dimensional quasi-periodic Fibonacci water wave metamaterial model that can be used to apply quasi-periodic structures to shallow-water wave systems is presented.The fluctuation characteristics of periodic and quasi-periodic structures are examined using finite element numerical calculations based on the shallow-water wave equation.The research results show that the band characteristics of quasi-periodic structures are complex,enabling flexible control of the propagation of shallow-water waves.Furthermore,the mirror-symmetrical design of Fibonacci quasi-periodic water wave metamaterials was created to engineer the topological interface states in shallow-water wave systems,ultimately achieving successful localization of wave energy.This research will greatly enrich our understanding of topology,expand the potential applications of quasi-periodic structures,and provide new insights for manipulating water waves and harvesting energy.

关 键 词：Water wave metamaterial quasi-periodic structure Fibonacci sequence topological interface states 

分 类 号：TV131.2[水利工程—水力学及河流动力学]