Large eddy simulation of compressible channel flow
Large eddy simulation of compressible channel flow
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DOI：
10.1007/s00162-007-0073-y
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发表时间：
2008-01
影响因子：
3.4
通讯作者：
C. Brun;Margareta Petrovan Boiarciuc;M. Haberkorn;P. Comte
中科院分区：
文献类型：
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作者：
C. Brun;Margareta Petrovan Boiarciuc;M. Haberkorn;P. Comte
本研究是对壁面可压缩流动分析的一个贡献，包括对平面通道中可压缩湍流边界层的壁面模拟的特别关注。本文对Re = 3,000和Re = 4,880的完全发展等温槽道流动进行了大涡模拟，在马赫数为0.3 ≤M≤ 3时，采用了两种不同的源项公式：第一种是科尔曼等人对不可压位形的经典推广; (J. 305：159-183，1995），第二种是目前推导出的公式，用于对空间发展的可压缩通道流中的流向压降和流向内部能量损失进行建模。结果表明，第二个配方是一致的空间问题，并产生更强的冷却效果在壁比经典配方。基于现有的LES数据库，从相干结构和统计的角度分析了可压缩性和低雷诺数效应。参考Bradshaw（Annu. Rev. Fluid. Mech.9：33-54，1977）。提出了一种改进的货车Driest变换，它占壁层的密度和粘度的变化。因此，本文提出了一种新的积分壁面标度（yc+），它可以用来描述非绝热可压缩流动的壁面温度梯度。本文对Huang等人提出的强雷诺类比进行了修正。(J. 305：185-218，1995）来对非绝热壁层的速度和温度之间的相关性进行建模。指出了混合湍流普朗特数的关键作用。结果表明，这两个源配方非常好的协议，虽然他们每个人都涉及一个非常不同的量的能量转移在墙上。
The present study is a contribution to the analysis of wall-bounded compressible flows, including a special focus on wall modeling for compressible turbulent boundary layer in a plane channel. large eddy simulation (LES) of fully developed isothermal channel flows atRe= 3,000 andRe= 4,880 with a sufficient mesh refinement at the wall are carried out in the Mach number range 0.3 ≤M≤ 3 for two different source term formulations: first the classical extension of the incompressible configuration by Coleman et al. (J. Fluid Mech. 305:159–183, 1995), second a formulation presently derived to model both streamwise pressure drop and streamwise internal energy loss in a spatially developed compressible channel flow. It is shown that the second formulation is consistent with the spatial problem and yields a much stronger cooling effect at the wall than the classical formulation. Based on the present LES data bank, compressibility and low Reynolds number effects are analysed in terms of coherent structure and statistics. A study of the universality of the structure of the turbulence in non-hypersonic compressible boundary layers (M≤5) is performed in reference to Bradshaw (Annu. Rev. Fluid. Mech. 9:33–54, 1977). An improvement of the van Driest transformation is proposed; it accounts for both density and viscosity changes in the wall layer. Consistently, a new integral wall scaling (yc+) which accounts for strong temperature gradients at the wall is developed for the present non-adiabatic compressible flow. The modification of the strong Reynolds analogy proposed by Huang et al. (J. Fluid Mech. 305:185–218, 1995) to model the correlation between velocity and temperature for non-adiabatic wall layers is assessed on the basis of a Crocco–Busemann relation specific to channel flow. The key role of the mixing turbulent Prandtl numberPrmis pointed out. Results show very good agreement for both source formulations although each of them involve a very different amount of energy transfer at the wall.