Proceedings of the 32nd International Conference


Boussinesq type equations
fully nonlinear
numerical model
dissipation terms

How to Cite

A FULLY NONLINEAR BOUSSINESQ MODEL FOR WATER WAVE PROPAGATION. (2011). Coastal Engineering Proceedings, 1(32), waves.12. https://doi.org/10.9753/icce.v32.waves.12


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.


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