A MODEL TO PROPAGATE NONLINEAR WATER WAVES

J.M. Chambel Leitao, J.L.M. Fernandes

Abstract


The aim of the work presented here is to propagate random waves from deep or intermediate water depth to the nearshore region with a Boundary Integral Equation Method (BIEM) which is able to handle the nonlinear effects that occur in the process. A two-dimensional (x,z) mild nonlinear model to propagate waves over an uneven bottom is presented here. It takes into account 2nd order nonlinear effects of the wave transformation entering into shallow water. If energy dissipation is neglected, the flow field generated by the wave propagation can be described by a velocity potential formulation which is governed by the Laplace's equation in the domain. The results obtained from the model are time-dependent. The model is tested with solitary and irregular waves and compared with analytical and experimental results.

Keywords


wave model; wave propagation; nonlinear waves

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