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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >ON THE OPEN BOUNDARY CONDITION FOR THE SIMPLE ALGORITHM USING NONSTAGGERED GRIDS
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ON THE OPEN BOUNDARY CONDITION FOR THE SIMPLE ALGORITHM USING NONSTAGGERED GRIDS

机译：非标记网格的简单算法的开放边界条件

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摘要

In solving the incompressible Navier-Stokes equations via the SIMPLE algorithm, two exit boundary conditions on staggered grid systems, namely, Shyy's zero-gradient extrapolated boundary condition and Liu and Liu's condition derived from the continuity equation, are extended to four exit conditions on nonstaggered grid systems. These conditions are (I) the direct extension of Shyy's condition; (2) an extension of Shyy's condition with the mass correction employed in the TEACH code; (3) a modified Shyy's condition, which is a proposed one-dimensionalized zero-gradient extrapolating condition; and (4) a direct extension of the Liu and Liu exit condition. Numerical experiments show that ah the stable results are consistent with Shyy's results on a staggered grid system. Condition 3 is robust even if the grid distribution around the open boundary is poor and if flow reversal appears. The first condition is always unstable for all the test cases. If the region around the exit boundary does not have flow reversal and the grid system is smooth, conditions 2, 3, and 4 are similar to each other, but a scheme using condition 3 or condition 4 converges much faster than one using condition 2. If there is flow reversal at the exit boundary, the last condition has two unstable cases, while the second condition has five unstable cases. Roughly speaking, the convergence rate of employing conditions 2, 3, and 4 wilt deteriorate as grid density increases. [References: 26]
机译：通过SIMPLE算法求解不可压缩的Navier-Stokes方程时，交错网格系统上的两个出口边界条件，即Shyy的零梯度外推边界条件和从连续性方程派生的Liu和Liu条件，被扩展到非交错的四个出口条件网格系统。这些条件是（I）Shyy条件的直接扩展; （2）通过在教学代码中采用质量校正来扩展Shyy条件。 （3）修正的Shyy条件，是一种建议的一维零梯度外推条件; （4）Liu和Liu退出条件的直接扩展。数值实验表明，稳定结果与Shyy在交错网格系统上的结果一致。即使围绕开放边界的网格分布不佳并且出现逆流，条件3仍然是可靠的。对于所有测试用例，第一个条件始终不稳定。如果出口边界周围的区域没有逆流并且网格系统是平滑的，则条件2、3和4彼此相似，但是使用条件3或条件4的方案的收敛速度要快于使用条件2的方案。如果出口边界处有逆流，则最后一个条件有两个不稳定情况，而第二个条件有五个不稳定情况。粗略地讲，随着网格密度的增加，采用条件2、3和4的收敛速度将恶化。 [参考：26]

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