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Strategic Study of CAE >> 2007, Volume 9, Issue 4

Numerical Simulation of the Hyperbolic Mild Slope Equation

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116023, China

Funding project:“九七三”国家重点基础研究发展计划资助项目(2006CB403302) Received: 2005-10-20 Revised: 2006-02-14

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Abstract

The hyperbolic mild slope equation has been widely used as an effective mathematic model to simulate the propagation of water waves in coastal zones. In this paper, the grid system that collocated in time and staged in space has been used to discretize the hyperbolic mild slope equation and two examples have been used to validate the numerical model. The numerical results show that the numerical model used in the paper can be effectively used in the numerical simulation of the hyperbolic mild slope equation.

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References

[ 1 ] Copeland G J M .A practical alternative to the mild-slope wave equation [J] .Coastal Engineering ,1985 ,(9) :125 ~ 149 link1

[ 2 ] Booj N . Gravity waves on water with non-uniform depth and current [R] . Delft University of Tech ., Dept . Civil Eng .,Report No 81 - 1 ,1981

[ 3 ] Ito Y , Tanimoto K . A method of numerical analysis of wave propagation-application to wave diffraction and refraction [A] . Proceeding of the 13th conference on Coastal Engineering [C] .Vancouver ,ASCE , 1972 , 26 : 503 ~ 522 link1

[ 4 ] Madsen P A , Larsen J . An efficient finite-difference approach to the mild-slope equation [ J ] . Coastal engineering ,1987 ,11 :329 ~ 351 link1

[ 5 ] 郑永红 ,沈永明 ,邱大洪 ,等 .应用非线性色散关系数值模拟双曲型缓坡方程 [J] . 水利学报 ,2001 , (2) :69 ~ 75 link1

[ 6 ] Larsen J , Dancy H . Open boundaries in short-wave simulations ——— a new approach [J] .Coastal Engineering , 1983 ,(7) :285 ~ 297 link1

[ 7 ] Berkhoff J C W , Booij N , Radder A C . Verification of numerical wave propagation models for simple harmonic linear water waves [J] .Coastal Engineering ,1982 ,(6) : 255 ~ 279 link1

[ 8 ] 吴 岩 , 夏中华 . 二位水波数学模型的实验验证 [R] .大连理工大学海岸和近海工程国家重点实验 室 ,COE9405 ,1994

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