| 摘要: |
| 【目的】 针对目前常用的复杂边界大尺度流场模拟方法（构建基于正交曲线坐标变换和交错网格的数学模型）的不足，构建具有更强适应性及更高效率的数学模型。【方法】 以沿水深平均的平面二维水流运动数学模型为基本讨论模型，在复杂边界大尺度流场模拟中引入同位网格，给出了一般曲线坐标系下平面二维水流运动控制方程的通用转换形式及基于同位网格的通用离散方程，研究了一般曲线坐标系下基于同位网格SIMPLE算法的实施办法。【结果】 构建了一般曲线坐标系下基于同位网格布置计算变量的数学模型，并将其运用到新疆博斯腾湖流场模拟的计算实例中，结果显示,计算成果合理可靠，与实际情况相符。【结论】 在具有复杂边界大尺度流场模拟中成功实施了同位网格，其算法可以用于解决天然河流、湖泊、水库及河口海岸等的流场模拟问题。 |
| 关键词: 复杂边界 大尺度流场 同位网格 |
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| 基金项目:国家重大水专项研究项目（2009ZX07212 002 001）；国家自然科学基金项目（50579061） |
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| Collocated grid implementation in the large scale flow field simulation with complex boundary |
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| Abstract: |
| 【Objective】 In the large scale flow field simulation with complex boundary,a more compatible and more efficient mathematical model is built due to the shortage of domestic and foreign common method (to build the model which is based on the orthogonal curvilinear coordinates and staggered grid).【Method】 Taking the depth averaged two dimensional hydrodynamic numerical model as basic discussion model,the collocated grid is brought into the large scale flow field simulation with complex boundary.【Result】 The model is built based on the collocated grid in the general curvilinear coordinates.And it is applied to simulate the flow field of Bosten Lake in Xinjiang.The calculation result is reasonable and reliable,and in line with the actual situation.【Conclusion】 The collocated grid is successfully implemented in the large scale flow field of the complex boundary.And the method has strong compatibility and high effectiveness in simulating the flow field of natural river,lake,reservoir,estuary and coast,etc. |
| Key words: complex boundary large scale flow field collocated grid |
