Numerical study of the elliptic mild-slope equation for water wave in quadtree grid system

TANG Jun; LI Qiaosheng; SHEN Yongming

doi:10.3969/j.issn.0253-4193.2013.05.018

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TANG Jun, LI Qiaosheng, SHEN Yongming. Numerical study of the elliptic mild-slope equation for water wave in quadtree grid system[J]. Haiyang Xuebao, 2013, 35(5): 162-168. doi: 10.3969/j.issn.0253-4193.2013.05.018

Citation:

TANG Jun, LI Qiaosheng, SHEN Yongming. Numerical study of the elliptic mild-slope equation for water wave in quadtree grid system[J]. Haiyang Xuebao, 2013, 35(5): 162-168. doi: 10.3969/j.issn.0253-4193.2013.05.018

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Numerical study of the elliptic mild-slope equation for water wave in quadtree grid system

doi: 10.3969/j.issn.0253-4193.2013.05.018

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;Suzhou Waterways Management Division, Suzhou 215008, China

Received Date: 2012-10-25

Abstract

Abstract

Water wave is important hydrodynamics in coastal zone. As the evolution of water wave in the coastal zone is complex due to complex topography, a numerical model of elliptic mild-slope equation was developed in quadtree grid system. The numerical model was discretized by finite volume method and solved by GPBiCG(m,n)algorithm.The numerical model has good adaptability with the complex topography as it can generate multi-level quadtree grids in accordance with the water wave length.Compared with other numerical scheme, this model does not introduce shape function and complex cross-term, and is efficient in storage and computation. The numerical model was used to simulate the water wave propagation in experiment and the Acapulco Bay. The numerical results show that this model is accurate and efficient in simulating coastal water waves.It is believed that this model can be an effective tool for coastal water wave simulation in engineering or study.
- water wave,
- elliptic mild-slope equation,
- quadtree grid,
- finite volume method

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References(11)

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