| 驱动方腔内涡流的数值模拟 |
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| 引用本文： | 王汝权 孙建安. 驱动方腔内涡流的数值模拟[J]. 空气动力学学报, 1989, 7(3): 298-306 |
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| 作者姓名： | 王汝权 孙建安 |
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| 作者单位： | 中国科学院计算中心(王汝权)，西北师范大学物理系(孙建安) |
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| 摘 要： | 本文介绍一种求解涡度流函数形式的定常不可压缩Navier-Stokes方程的半隐式指数型差分格式。涡度方程用上述格式求解,而流函数方程用多层网格法求解。这种组合求解方式具有很好的稳定性及较快的收敛速度。本文对Re=100,400,1000,3000,5000的驱动方腔及Re=400,1000的驱动长方腔进行了数值模拟,结果与现有的计算相吻合。
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| 关 键 词： | 涡流 驱动方腔 粘性流 数值模拟 |
NUMERICAL SIMULATION OF FLOWS IN A DRIVEN CAVITY |
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| Wang Ruquan. NUMERICAL SIMULATION OF FLOWS IN A DRIVEN CAVITY[J]. Acta Aerodynamica Sinica, 1989, 7(3): 298-306 |
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| Authors: | Wang Ruquan |
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| Abstract: | This paper presents a semi-implicit exponential difference scheme for solving steady incompressible N-S equations in stream function and vorticity variables. The vorticity equation is solved by the proposed scheme and the elliptic equation of the stream function is computed by an efficient multiple-grid method. The above combined solu-tion has a good stability and fast convergence. Numerical simulations were made for a driven square cavity at Re =100, 400, 1000, 3000, 5000 and for a driven rectangle cavity at Re=400, 1000. The results are good agreement with available calculations. |
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| Keywords: | steady viscous flow vorticity stream function exponential difference scheme numerical method. |
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