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

LI Yi; WU Lin-jian; SHU Dan; CHEN Jia-yu

doi:10.3879/j.issn.1000-0887.2014.08.008

Volume 35 Issue 8

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LI Yi, WU Lin-jian, SHU Dan, CHEN Jia-yu. A New Method to Calculate the Wave Height of Deformed Shallow Water Based on the Gauss Global Radial Basis Function[J]. Applied Mathematics and Mechanics, 2014, 35(8): 903-912. doi: 10.3879/j.issn.1000-0887.2014.08.008

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

doi: 10.3879/j.issn.1000-0887.2014.08.008

LI Yi^1,2,
WU Lin-jian^1,3,
SHU Dan^1,3,
CHEN Jia-yu^1,3

¹Key Laboratory of Hydraulic & Waterway Engineering of the Ministry of Education(Chongqing Jiaotong University)National Engineering Technology Research Center for Inland Waterway Regulation, Chongqing 400074, P.R.China;²CCCC Key Hydrodynamic Laboratory for Coastal Engineeirng, Tianjin 300222, P.R.China;³School of River & Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2014-04-22
Rev Recd Date: 2014-06-27
Publish Date: 2014-08-15

Abstract

Abstract

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.
- Gauss global radial basis function(GRBF),
- shallow water deformation,
- changing wave height equation,
- numerical solution

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References(14)

References

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