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Chebyshev generalized finite spectral method for linear and nonlinear waves

Zhan Jie-Min Lin Dong Li Yok-Sheng

Chebyshev generalized finite spectral method for linear and nonlinear waves

Zhan Jie-Min, Lin Dong, Li Yok-Sheng
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  • Abstract views:  3524
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Publishing process
  • Received Date:  15 September 2006
  • Accepted Date:  19 December 2006
  • Published Online:  20 July 2007

Chebyshev generalized finite spectral method for linear and nonlinear waves

  • 1. (1)香港理工大学土木及结构工程系,香港九龙; (2)中山大学应用力学与工程系,广州 510275; (3)中山大学应用力学与工程系,广州 510275;中山大学近岸海洋工程广东省重点实验室,广州 510275

Abstract: A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.

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