Effect of von Karman length scale in scale adaptive simulation approach on the prediction of supersonic turbulent flow

Effect of von Karman length scale in scale adaptive simulation approach on the prediction of supersonic turbulent flow
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尺度自适应模拟方法中冯卡门长度尺度对超音速湍流预测的影响

DOI:
10.1016/j.ast.2019.01.030
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发表时间:
2019-03
影响因子:
5.6
通讯作者:
Sun Jian Hong
Sun Jian Hong
中科院分区:
工程技术1区
文献类型:
--
作者:
Xu Chang Yue;Zhang Tong;Yu Yuan Yuan;Sun Jian Hong

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采用尺度自适应模拟(SAS)方法对马赫数为2.46、雷诺数为2.858× 106的超声速轴对称底部流进行了数值研究。为了实现SAS计算,利用了冯卡门长度尺度的三种数学形式。第一个是从应变率张量和速度场的二阶导数计算的(该SAS可以标记为“SAS-1”)。第二个方程的计算采用涡量及其一阶导数(该SAS可表示为“SAS-2”)。第三个是根据涡量和速度场的二阶导数计算的(该SAS可被命名为“SAS-3”)。定量预测的影响进行了评估。本文还研究了两种入流条件,即有/无粘性边界层剖面的入流条件。结果表明,来流条件对底压和流向速度分布有显著影响,有翼型来流条件下的预测结果比无翼型来流条件下的预测结果与实验数据吻合更好。来流条件和卡门尺度对径向速度分布的影响较小。同样,在有剖面的入流条件下,底压分布对冯卡门长度尺度的数学形式也不敏感。进一步的比较表明,SAS-2和SAS-3可以得到最好的预测。这可能与SAS-2和SAS-3的von Karman长度尺度中明确考虑的涡拉伸效应有关。虽然SAS-2预测的平均流场略好于SAS-3。然而,SAS-3可以给出比SAS-2略好的雷诺应力的预测。
Numerical investigations of the supersonic axisymmetric base flow at Mach number 2.46 and Reynolds number 2.858× 10 6 are carried out using the scale-adaptive simulation (SAS) approach. To achieve SAS computation, three mathematical forms of von Karman length scale are utilized. The first one is calculated from the strain rate tensor and second derivative of the velocity field (this SAS can be marked as “SAS-1”). Computation of the second one is employed using the vorticity and its first derivative (this SAS can be denoted as “SAS-2”). The third one is computed from the vorticity and the second derivative of the velocity field (this SAS can be named as “SAS-3”). Their effects on the quantitative predictions are assessed. Two inflow conditions are also investigated, ie, inflow condition with/without turbulent-boundary-layer profiles. Results show that the inflow conditions have the significant effects on the base-pressure and streamwise velocity distributions, and the predicted results at the inflow condition with profiles show better agreement with experimental data than that at the inflow condition without profiles. The inflow conditions and von Karman length scales only have the relatively slight effects on the radial velocity distributions. Similarly, at the inflow condition with profiles, the base-pressure distributions are also not sensitive to mathematical forms of von Karman length scale. More comparisons reveal that the best predictions can be obtained by SAS-2 and SAS-3. It may be associated with the vortex stretching effects explicitly considered in the von Karman length scales of SAS-2 and SAS-3. Although the mean flow field predicted by SAS-2 is slightly better than that obtained by SAS-3. However, SAS-3 can give the slightly better predictions for the Reynolds stresses than SAS-2.
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