Numerical Modeling of the Hyperbolic Mild-Slope Equation in Curvilinear Coordinates  

作　　者：佟飞飞 沈永明 唐军 崔雷 

机构地区：[1]State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology

出　　处：《China Ocean Engineering》2010年第4期585-596,共12页中国海洋工程（英文版）

基　　金：supported by the National Basic Research Program of China ( Grant No.2006CB403302);the National Natural Science Foundation of China (Grant Nos .50839001 and 50709004);the Scientific Research Foundation of the Higher Education Institutions of Liaoning Province (Grant No.2006T018)

摘　　要：The mild-slope equation is familiar to coastal engineers as it can effectively describe wave propagation in nearshore regions. However, its computational method in Cartesian coordinates often renders the model inaccurate in areas with irregular shorelines, such as estuaries and harbors. Based on the hyperbolic mild-slope equation in Cartesian coordinates, the numerical model in orthogonal curvilinear coordinates is developed. The transformed model is discretized by the finite difference method and solved by the ADI method with space-staggered grids. The numerical predictions in curvilinear co- ordinates show good agreemenl with the data obtained in three typical physical expedments, which demonstrates that the present model can be used to simulate wave propagation, for normal incidence and oblique incidence, in domains with complicated topography and boundary conditions.The mild-slope equation is familiar to coastal engineers as it can effectively describe wave propagation in nearshore regions. However, its computational method in Cartesian coordinates often renders the model inaccurate in areas with irregular shorelines, such as estuaries and harbors. Based on the hyperbolic mild-slope equation in Cartesian coordinates, the numerical model in orthogonal curvilinear coordinates is developed. The transformed model is discretized by the finite difference method and solved by the ADI method with space-staggered grids. The numerical predictions in curvilinear co- ordinates show good agreemenl with the data obtained in three typical physical expedments, which demonstrates that the present model can be used to simulate wave propagation, for normal incidence and oblique incidence, in domains with complicated topography and boundary conditions.

关 键 词：mild-slope equation curvilinear coordinates water propagation numerical modeling 

分 类 号：O175.27[理学—数学]