HIGH-RE SOLUTIONS FOR INCOMPRESSIBLE-FLOW USING THE NAVIER STOKES EQUATIONS AND A MULTIGRID METHOD

HIGH-RE SOLUTIONS FOR INCOMPRESSIBLE-FLOW USING THE NAVIER STOKES EQUATIONS AND A MULTIGRID METHOD
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DOI:
10.1016/0021-9991(82)90058-4
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发表时间:
1982-01-01
影响因子:
4.1
通讯作者:
SHIN, CT
SHIN, CT
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
GHIA, U;GHIA, KN;SHIN, CT

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利用二维不可压Navier-Stokes方程的涡度流函数形式,研究了耦合强隐式多重网格(CSI-MG)方法在确定高Re细网格流动解中的有效性。以方腔内的驱动流作为模型问题。得到了雷诺数高达10,000,网格数目高达257×257点的布局的解。对于Re=1000,(129×129)网格解决方案在Amdahl 470V/6计算机上需要1.5分钟的CPU时间。由于在流场中出现了一个或多个二次涡,因此采用均匀网格加密比使用一维网格聚集坐标变换更合适。
The vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions. The driven flow in a square cavity is used as the model problem. Solutions are obtained for configurations with Reynolds number as high as 10,000 and meshes consisting of as many as 257 × 257 points. For Re = 1000, the (129 × 129) grid solution required 1.5 minutes of CPU time on the AMDAHL 470 V/6 computer. Because of the appearance of one or more secondary vortices in the flow field, uniform mesh refinement was preferred to the use of one-dimensional grid-clustering coordinate transformations.