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Chebyshev Finite Spectral Method for Boussinesq-Type Equations on Staggered Grids

J.-M. ZHAN, W. SU, Y.-Y. LUO, Y.-S. LI


In this paper, a Chebyshev finite spectral method for Boussinesq-type equations on staggered grids is proposed. The method is of high-order accuracy. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme is used. To avoid spurious checkerboard oscillations, staggered grids are used to improve the numerical stability. The efficiency and accuracy of the proposed method are verified by solving the problem of regular and irregular wave diffraction around a semi-infinite breakwater where laboratory data are available for comparison

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