Numerical simulation model of wave propagation in curvilinear coordinates

ZHANG Hong-sheng; DING Ping-xing; ZHAO Hai-hong

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ZHANG Hong-sheng, DING Ping-xing, ZHAO Hai-hong. Numerical simulation model of wave propagation in curvilinear coordinates[J]. Haiyang Xuebao, 2003, 25(1): 110-119.

Citation:

ZHANG Hong-sheng, DING Ping-xing, ZHAO Hai-hong. Numerical simulation model of wave propagation in curvilinear coordinates[J]. Haiyang Xuebao, 2003, 25(1): 110-119.

ZHANG Hong-sheng, DING Ping-xing, ZHAO Hai-hong. Numerical simulation model of wave propagation in curvilinear coordinates[J]. Haiyang Xuebao, 2003, 25(1): 110-119.

Citation:

ZHANG Hong-sheng, DING Ping-xing, ZHAO Hai-hong. Numerical simulation model of wave propagation in curvilinear coordinates[J]. Haiyang Xuebao, 2003, 25(1): 110-119.

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Numerical simulation model of wave propagation in curvilinear coordinates

1.
School of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, China;State Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200062, China
2.
State Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200062, China

Received Date: 2002-05-31
Rev Recd Date: 2002-07-08

Abstract

Abstract

In the curvilinear coordinates, a numerical simulation model for wave propagation in water of slowly varying topography is presented.The model is suitable to complicated loundary shapes and overcomes the limitation of other models with algorithm transfomtation.In the model, the time-dependent parabolic equation, deduced from the original elliptic type of mild-slope equation, is used as the governing equation.The present governing equation not only avoids the drawback to common parabolic form of mild-slope equation but also is convenient for solution.Based on the general conditions for open and fixed natural boundaries with an arbitrary reflection coefficient and phase shift, the boundary conditions for the present model are treated.The alternative direction implicit method is used to solve the governing equation.The numerical results of the present model are in agreement with those of physical models.Systematical tests show that the present model can reasonably simulate the wave transformation, such as shoaling, refraction, diffraction and reflection.So the present model is able to be used in coastal engineering with complicated boundary shapes extensively.
- wave propagation,
- curvilinear coordinates,
- numerical simulation,
- self-adaptive grids,
- boundary conditions

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References(28)

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