长兴岛海区波流相互作用数值模拟研究

Numerical study on wave-current interaction at the sea area of Changxing Island

波和流是近岸海区的主要动力因素。应用二维潮流数学模型和最新第三代近岸海浪模式SWAN,建立了非结构网格下二维情况近岸波流耦合作用数学模型。时间离散采用欧拉向前格式,空间离散采用有限体积法显式格式。通过将波浪场及潮流场进行迭代耦合计算,实现了对波流共同作用下波浪场和潮流场的数值模拟。将模型应用于矩形海湾实验和李孟国数模实验等理想地形以及大连长兴岛海区实际复杂地形算例,并用现场实测资料对计算结果进行验证,结果表明:耦合结果与实测结果吻合良好,并且要优于未耦合的结果。

Waves and currents are the major dynamic factors in the near-shore sea area. A two-dimensional numerical model of tidal current and a new version of the third-generation near-shore wave model SWAN are applied to establish the two-dimensional near-shore wave-current interaction numerical model in unstructured grid. The time dispersion is made by Euler forward schemes, and the spatial dispersion is made by explicit schemes with finite volume method. Through the iteration and coupling calculation of these two models, the wave field and current field interacting with each other are obtained. The model has been applied in an ideal experiment of the tidal inlet and Li Mengguo＇ s mathematical model experiment and the sea area of Changxing Island located in Dalian to verify the model. The computational results are verified by the observed data in site. It is shown that the coupled numerical results are more agreeable with the measured values than the uncoupled results.