| The objective of this study is to develop a numerical model capable of predicting behavior of the non-breaking and near breaking solitary wave propagating in the coastal zone and the interactions of wave and coastal structure. The numerical model used in the study is called the Modified Marker-and-Cell (MODMAC) method which is a two-dimensional finite difference model. The numerical model is based on the fully nonlinear, time dependent Navier-Stokes equation. The wave profile of the propagating wave interacting with coastal structure and the velocity field and subsurface pressure are obtained in the whole flow field.; For the numerical analysis, both the Lagrangian and Eulerian methods are employed to track these massless markers along the free surface. The Eulerian methods are used in the following applications: (1) propagation of solitary waves in a wave tank with vertical walls throughout; (2) a solitary wave overtopping submerged structure and (3) periodic and solitary waves passing over partially buried pipes. The Lagrangian method is used for simulating a solitary wave climbing on sloping beaches.; The present numerical model has been successfully applied to a number of cases with important findings obtained. (1) A solitary wave overtops the submerged rectangular obstacle. A large rotational flow, generated in the shoreward side, could damage the breakwater and the foundation of the breakwater. (2) The solitary wave run up on the sloping beach and vertical wall. The maximum run-up heights and water particle velocities have been obtained. (3) The hydrodynamic forces, induced by a periodic wave train and also by a solitary wave propagating over a partially buried pipe on the seafloor, agree well with hydraulic model data.; The present numerical model has been verified by comparing the numerical results with the available numerical and experimental data obtained by other researchers. It is found that the present model offers a tool for modeling the interactions of wave and structure in the coastal zone. |
