Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary

ZHANG Hong-sheng; HONG Guang-wen; DING Ping-xing

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ZHANG Hong-sheng, HONG Guang-wen, DING Ping-xing. Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary[J]. Haiyang Xuebao, 2002, 24(1): 108-116.

Citation:

ZHANG Hong-sheng, HONG Guang-wen, DING Ping-xing. Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary[J]. Haiyang Xuebao, 2002, 24(1): 108-116.

ZHANG Hong-sheng, HONG Guang-wen, DING Ping-xing. Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary[J]. Haiyang Xuebao, 2002, 24(1): 108-116.

Citation:

ZHANG Hong-sheng, HONG Guang-wen, DING Ping-xing. Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary[J]. Haiyang Xuebao, 2002, 24(1): 108-116.

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Numerical simulation of wave propagation in water of slowly varying topography with complicated boundary

1.
State Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai 200062, China
2.
College of Harbor, Waterway and Coastal Engineering, Hohai University, Nanjing 210024, China

Received Date: 2000-09-28
Rev Recd Date: 2001-04-12

Abstract

Abstract

The mild-slope equation is widely applied to the calculation of wave transformation with the computation region being divided into rectangular meshes.While the computation region is divided into irregular quadrilateral, the wave action conservation equation and wave number vector irrotational equation are discretized based on Greenps formula,and the eikonal equation is done with deriving partial differential values by transformation of isoparametric element.There by the numerical simulation model of wave propagation for waters of slowly varying topography is presented.In the case of different incident wave angles,slope angles of bottom and incident wave heights,the systematic numerical simulation has been made for the straight contour condition and the computation region being divided into irregular quadrilateral,and the calculations show that the results of numerical modeling agree with those of the-oretical solution.When the present mathematical model is applied to an example with complicated boundary,the results of numerical solution are basically consistent with those of physical models.
- irregular quadrilateral,
- Green’s formula,
- isoparametric element,
- numerical simulation

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References(9)

References

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