An efficient finite difference scheme for improved Boussinesq equations

摘要

In this paper an efficient finite difference scheme for solving the improved Boussinesq equations as derived by Beji and Nodaoka(1996) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. The proposed numerical scheme is verified by three test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin (1971). The second case is wave diffraction around a single breakwater by Briggs et al. (1995). The third case is wave diffraction over a shoal as reported by Briggs (1987) and Vincent and Briggs (1989). Numerical results agree very well with the corresponding experimental data in the cases.