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长江口南支潮流的一个数值模拟
许朋柱1, 毛锐1
中国科学院南京地理与湖泊研究所 南京 210008
摘要:
为了能够精确地拟合天然水域不规则的水陆边界,并能保持有限差分数值计算在矩形网格中进行,本文利用Thompson的数值网格生成技术,在长江口南支七丫口至横沙河段设计了一个椭圆型边界拟合坐标系,并在这个坐标系下建立了平面二维潮流数学模型。通过数值求解此数学模型,实现了计算区域内现状潮流的一个数值模拟,模拟结果表明,模式的设计是成功的。
关键词:  长江口南支  数值网格生成数值模拟
DOI:
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基金项目:国家自然科学基金委重大项目(No.9488007)和中国科学院重大项目(No.87-45-03)联合资助
ONE NUMERICAL SIMULATION OF TIDAL FLOW IN THE SOUTH CHANNEL OF THE CHANGJIANG ESTUARY
Xu Pengzhu,Mao Rui
Abstract:
This elliptic body-fitted curvilinear coordinate system is designed to precisely fit the irregular water-land boundary of flow field in the south channel (from Qiyakou to Hengsha) of the Changjiang Estuary and for finite difference computation in a rectangular mesh, by using the numerical grid generation technique proposed by Thompson, and the 2-D hydrodynamic model which integrated over the vertical of shallow water is established in the system. As on the Yanenko operator-splitting method, the equations of the model are split into two couples of l-D eqs. along 2-axis directions, and each eqs. are solved by FDM. In the computation a “condensation” technique is used and the problem of moving boundary computation is simplified. Numerical smoothing is used to improve the computational stability. The model computed values of tidal elevation, flow velocity and discharge, etc., agree well with field measurements.
Key words:  The south channel of the Changjiang Estuary, Numerical grid generation, Numerical simulation
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