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首页> 外文期刊>Journal of Heat Transfer >A Numerical Study of Shock and Heating With Rarefaction for Hypersonic Flow Over a Cylinder
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A Numerical Study of Shock and Heating With Rarefaction for Hypersonic Flow Over a Cylinder

机译：圆柱体上超音速流激波加热回火的数值研究

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The numerical computation of hypersonic flows over blunt bodies is challenging due to the difficulty in robust and accurate wall heat flux prediction and proper capturing of shock waves free from the "carbuncle" phenomenon and other shock anomalies. It is important to understand how this behavior is affected due to rarefaction, which in turn will help to improve the study of aerospace vehicles flowing in rarefied and hypersonic regime. Recently, the SLAU2 convective scheme was shown to suppress the shock anomalies found in capturing strong shocks, however, it still showed a wavy pattern of heating. We have proposed a modification to the SLAU2 convective scheme to improve the accuracy of flow predictions in the presence of strong shocks. We then perform the numerical simulation of hypersonic viscous flow over a cylinder at Mach 8 and 16.34 at different Knudsen numbers. We carry out the study using the modified SLAU2 and the classical Roe schemes. We study how the shock anomalies found in the continuum hypersonic flows behave with the degree of rarefaction. It is found that the modified SLAU2 captures the shock free from the shock anomalies at all Kn, while the Roe scheme lacks robustness for Kn ≤ 10~(-3) . The variation of different flow properties such as heat flux, wall shear stress, and the Mach number is investigated. The peak heating value was observed to decrease with the degree of rarefaction.
机译：由于难以可靠，准确地预测壁热通量以及正确捕获没有“ of”现象和其他冲击异常的冲击波，因此很难对钝体上的超音速流进行数值计算。重要的是要了解这种稀疏行为如何影响其行为，这反过来将有助于改进对稀疏高超声速流动的航空航天器的研究。最近，SLAU2对流方案被证明可以抑制在捕获强烈震动时发现的震动异常，但是，它仍然显示出波浪状的加热模式。我们提出了对SLAU2对流方案的一种改进，以在存在强烈冲击的情况下提高流量预测的准确性。然后，我们在不同Knudsen数下以8马赫和16.34马赫对圆柱体进行高超声速粘性流动的数值模拟。我们使用修改后的SLAU2和经典Roe方案进行了研究。我们研究了在连续高超声速流动中发现的冲击异常如何随稀疏程度而变化。发现改进的SLAU2可以在所有Kn的情况下捕获到没有冲击异常的冲击，而Roe方案对于Kn≤10〜（-3）缺乏鲁棒性。研究了不同流动特性（例如热通量，壁切应力和马赫数）的变化。观察到峰值发热量随稀疏度而降低。

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