【摘要】 给出求解二维线性与非线性波的Chebyshev广义有限谱模拟方法.结合时间层次的高精度预报-校正方法,模拟了二维线性浅水驻波和波在浅滩的非线性变形.方法能够准确模拟水波的物理特征.更多还原

【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.更多还原