Validation study of vortex methods
Validation study of vortex methods
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DOI：
10.1016/0021-9991(88)90082-4
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发表时间：
1988-02
影响因子：
4.1
通讯作者：
J. Sethian;A. F. Ghoniem
中科院分区：
文献类型：
--
作者：
J. Sethian;A. F. Ghoniem
涡方法适用于粘性，不可压缩流的收敛性证明。我们计算了雷诺数为50，125，250，375，500和5000的后向台阶上的流动的解，并研究了数值参数的选择对计算解的精度的影响。在层流状态下，我们证明收敛的计算手段，一个时间无关的解决方案的数值参数进行了细化，周围的计算平均值成反比的涡元素的数量，和准确的比较的大小和长度的回流区与实验测量的雷诺数的函数的方差衰减。在较高的雷诺数，我们显示了详细的和强大的计算涡流脱落和配对，定性的数值收敛等流动变量的涡流大小和平均速度分布。
Convergence of the vortex method applied to viscous, incompressible flow is demonstrated. We compute the solution of flow over a backwards-facing step for Reynolds number 50, 125, 250, 375, 500, and 5000, and study the effect of the choice of numerical parameters on the accuracy of the computed solution. Within the laminar regime, we demonstrate convergence of the computed means to a time-independent solution as the numerical parameters are refined, decay of variance around the computed mean inversely proportional to the number of vortex elements, and accurate comparison of size and length of recirculation zones with experimental measurements as a function of Reynolds number. At higher Reynolds number, we show detailed and robust calculations of eddy shedding and pairing, and qualitative numerical convergence in such flow variables as eddy size and average velocity profiles.