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|標題:||Study on the numerical model with nonlinear and transient moving boundary
|關鍵字:||Moving boundary;Fully nonlinear wave;Free surface;transient boundary-fitted coordinate system;移動邊界;完全非線性;自由液面;貼壁坐標||Project:||水土保持學報, Volume 45, Issue 4, Page(s) 791-802.||摘要:||
The coastline of Taiwan, an island all surrounded by the sea, is about 1,139 km long. Land loss caused by coastal erosion is an important issue. Once the erosion of land was difficult to restitution, it may impact the coastal variety of industry, tourism, and aquaculture. Moreover, it will also result in the increasing risk of coastal residents and the affected coastal residents move inland. The coastal erosion was mainly due to wind and waves effects, and this study is aimed at discussing the effects of the waves in order to prevent the erosion of the coast. This study is to develop a two-dimensional fully-nonlinear wave model of potential function. A transient curvilinear coordinate system is applied to fit the moving free surface. The main subject is focused on the initial condition problem. This model is combined with boundary-fitted grid and a fast finite-difference method to discretize the free-surface boundary conditions and the Laplace equation of potential function. It is known the solitary wave can travel with a constant speed and keep its symmetric shape because of its balance of nonlinearity and dispersion. It is convenient to impose our initial condition using Boussinesq analytic solution. However, there will be a series of weak trailing waves occurred behind the main wave, and the main wave amplitude is tiny smaller than that of the incident one. After the wave propagating a long distance, computational converged solution is gradually adjusted to satisfy the fully-nonlinear conditions. The main wave can fling the trailing waves. Thus, we cut the zone of computational solution as the initial condition of incident wave. It is shown this feedback can eliminate the trailing waves of solitary wave.
|Appears in Collections:||第45卷 第04期|
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