自由剪切流动数值模拟的计算网格设计
Mesh Design of Free Shear Layer Flows Simulation
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摘要: 从流体力学理论的角度出发,采用理论分析与证明的方法,通过干扰剪切流(ISF)的理论分析表明,在自由剪切流动的计算时存在最佳计算网格. 从ISF理论可以证明最佳计算网格是一个网格线与ISF黏性剪切薄层的流向平行,且在ISF黏性薄层法向在薄层内进行局部加密的正交网格. 对于非最佳网格,即使把网格加得很密,也难以捕捉ISF黏性薄层的物理黏性效应,算出的黏性效应是数值黏性,并通过一个不可压缩自由剪切层流流动的数值模拟证实了这个结论.Abstract: In this paper, according to basic fluid dynamics theory and interacting shear flows (ISF) theory, following conclusion can be proved. There exists the best computational mesh in simulation of free shear flows. The best mesh design are orthogonal grid which grid line are parallel to the direction of ISF viscous shear thin layer streamline, in addition, the grid must be refined in the thin layer along normal. As for no optimal mesh, it will be difficult to capture the physics viscous effect in ISF viscous thin shear layer as the result of much more refined grid and viscous effect will be numerical. The conclusion were validated by simulation of an uncompressible free shear layer laminar flow.
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