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)
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.
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2020, Vol. 39 
