Journal article
Water wave simulation in curvilinear coordinates using a time-dependent mild slope equation
Journal of Hydrodynamics, Vol.22(6), pp.796-803
2010
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Abstract
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.
Details
- Title
- Water wave simulation in curvilinear coordinates using a time-dependent mild slope equation
- Creators
- Fei-fei Tong - Dalian University of TechnologyYong-ming Shen - Dalian University of TechnologyJun Tang - Dalian University of TechnologyLei Cui - Dalian University of Technology
- Publication Details
- Journal of Hydrodynamics, Vol.22(6), pp.796-803
- Publisher
- Elsevier Ltd
- Grant note
- (Grant No. 2009ZX07528-006-01) / the National Science and Technology Major Special Project of China on Water Pollution Control and Management (Grant Nos. 50839001, 50979036) / the National Natural Science Foundation of China
- Identifiers
- 991013041311002368
- Academic Unit
- Faculty of Science and Engineering
- Language
- English
- Resource Type
- Journal article