A New Method to Calculate the Wave Height of Deformed Shallow Water Based on the Gauss Global Radial Basis Function.

The Gauss global radial basis function (GRBF) was used to simulate the unknown function of the changing wave height differential equation for shallow water deformation. Through a case analysis a new GRBF method was built to obtain the numerical solution of this equation in the conditions of laminar as well as turbulent boundary layers, and the GRBF calculation results were compared with those from the traditional numerical methods. The average calculation error of the GRBF method is smaller than that of the other methods, which indicates higher calculation accuracy of the proposed method. Meanwhile, based on the GRBF approximation results, a fitting function to the numerical solution of the wave height differential equation for deformed shallow water was formulated and intended to replace the corresponding intangible analytical solution in engineering application. The work provides a new way to study the wave motion in the coastal shallow water areas. [ABSTRACT FROM AUTHOR]