Solutions to the Problem of Wave Refraction Based on
Approximation Using Radial Basis Function

doi:10.3969/j.issn.1674-0696.2020.11.16

Journal of Chongqing Jiaotong University(Natural Science) ›› 2020, Vol. 39 ›› Issue (11): 109-113.DOI: 10.3969/j.issn.1674-0696.2020.11.16

• Port & Waterway · Hydraulic & Hydroelectric · Resources & Environment • Previous Articles Next Articles

Solutions to the Problem of Wave Refraction Based on Approximation Using Radial Basis Function

XU Xibin1, SHU Zhongyi1, XU Jiqing1,2

(1. School of River & Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, China; 2. National Engineering Technology Research Center for Inland Waterway Regulations, Key Laboratory of Hydraulic & Waterway Engineering of the Ministry of Education, Chongqing Jiaotong University, Chongqing 400074, China)

Received:2020-06-01 Revised:2020-09-08 Online:2020-11-19 Published:2020-11-23

基于径向基函数逼近的波浪折射问题求解

许锡宾1，束仲祎1，徐绩青1,2

(1. 重庆交通大学河海学院，重庆 400074； 2. 重庆交通大学国家内河航道整治工程技术研究中心水利水运工程教育部重点实验室，重庆 400074)

作者简介:许锡宾（1955—），男，四川宜宾人，教授，博士生导师，主要从事结构工程、港口工程方面的研究。E-mail：915688461@qq.com 通信作者：徐绩青（1974—），男，重庆人，讲师，博士，主要从事计算力学与应用数学方面的研究。E-mail：plappk@sina.com
基金资助:
重庆市教委科技研究项目（KJ100417）

Abstract

Abstract: Wave has features of three-dimension, stochasticity and nonlinearity, whose boundary conditions are complex, so wave refraction equation is difficult to solve. The radial basis function has the advantages of simple form, isotropic and space dimension independence. Considering the above, a new numerical method for solving the wave refraction problem was constructed by combining the idea of the radial basis function approximation with the wave refraction equation and considering its derivative boundary condition. In the actual project, the proposed algorithm provides a new idea to solve the numerical solution of wave refraction.

Key words: port engineering, wave refraction, tight strut thought, radial basis function, theoretical solutions

摘要： 波浪具有三维性、随机性和非线性等特征，其边界条件复杂，波浪折射方程难以求解。考虑到径向基函数具有形式简单，各向同性，与空间维数无关等优点。将径向基函数逼近的思想与波浪折射方程相结合，且考虑其导数边界条件，构造了一种求解波浪折射问题的计算方法。在实际工程中，为求解波浪折射的数值解提供了一种新思路。

关键词: 港口工程, 波浪折射, 紧支柱思想, 径向基函数, 理论解

CLC Number:

U656.2

XU Xibin1, SHU Zhongyi1, XU Jiqing1,2. Solutions to the Problem of Wave Refraction Based on Approximation Using Radial Basis Function[J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(11): 109-113.

许锡宾1，束仲祎1，徐绩青1,2. 基于径向基函数逼近的波浪折射问题求解[J]. 重庆交通大学学报（自然科学版）, 2020, 39(11): 109-113.

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Solutions to the Problem of Wave Refraction Based on Approximation Using Radial Basis Function

基于径向基函数逼近的波浪折射问题求解

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