A FULLY NONLINEAR BOUSSINESQ MODEL FOR WATER WAVE PROPAGATION

[摘要] A set of high-order fully nonlinear Boussinesq-type equations is derived from the Laplace equation and the nonlinear boundary conditions. The derived equations include the dissipation terms and fully satisfy the sea bed boundary condition. The equations with the linear dispersion accurate up to [2,2] padé approximation is qualitatively and quantitatively studied in details. A numerical model for wave propagation is developed with the use of iterative Crank-Nicolson scheme, and the two-dimensional fourth-order filter formula is also derived. With two test cases numerically simulated, the modeled results of the fully nonlinear version of the numerical model are compared to those of the weakly nonlinear version.

[学科分类] 建筑学

[关键词] Boussinesq type equations;fully nonlinear;numerical model;dissipation terms;comparison