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论文类型：期刊论文

发表时间：2010-12-01

发表刊物：JOURNAL OF HYDRODYNAMICS

收录刊物：SCIE、EI、Scopus

卷号：22

期号：6

页面范围：796-803

ISSN号：1001-6058

关键字：curvilinear coordinates; mild slope equation; water wave; analytical; numerical modeling

摘要：The purpose of this article is to model the detailed progress of wave propagation in curvilinear coordinates with an effective time-dependent mild slope equation. This was achieved in the following approach, firstly deriving the numerical model of the equation, i.e., Copeland's hyperbolic mild-slope equation, in orthogonal curvilinear coordinates based on principal of coordinate transformation, and then finding the numerical solution of the transformed model by use of the Alternative Directions Implicit (ADI) method with a space-staggered grid. To test the curvilinear model, two cases of a channel with varying cross section and a semi-circular channel were studied with corresponding analytical solutions. The model was further investigated through a numerical simulation in Ponce de Leon Inlet, USA. Good agreement is reached and therefore, the use of the present model is valid to calculate the progress of wave propagation in areas with curved shorelines, nearshore breakwaters and other complicated geometries.