用二维薛定谔方程实现海浪模拟  

Ocean Wave Simulation by Means of 2D Schr?dinger Equation

作　　者：赖联有[1] 许伟坚[1] 程隆双 LAI Lianyou;XU Weijian;CHENG Longshuang(College of Information Engineering,Jimei University,Xiamen 361021,China;Engineering Training Center,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学信息工程学院,福建厦门361021 [2]集美大学工程训练中心,福建厦门361021

出　　处：《中国航海》2019年第2期93-96,119,共5页Navigation of China

摘　　要：针对海浪模拟方法,提出一种利用二维薛定谔方程实现海浪模拟的新方法。设置海底的形状作为控制函数并以海浪的初始形状作为初始条件。把控制函数和初始条件代入二维薛定谔方程,采用单步迭代方法计算下一时刻的海浪形状。通过对海浪初始波形的迭代计算,可以动态地模拟海浪在任意形状的海床上运动时的波形变化。该方法适合于模拟在无外力作用下海浪的自然演化过程。通过仿真试验用二维薛定谔方程模拟海浪的适用性。A new ocean wave simulation method is presented for performing iterative calculations of the 2D Schr dinger equation with the shape of the seabed as the control function and a wave shape assumption as the initial condition. The next wave shapes are calculated by single-step iterative calculations, thus starting with initial wave shape, the evolution of the ocean wave over time for a seabed of any shape is dynamically simulated by iteration. The method is suitable for simulating the evolution process of waves without external forces. The simulation results are proved.

关 键 词：海浪模拟 海浪建模 薛定谔方程 辛算法 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]