Direct numerical simulation of incompressible turbulent boundary layers and planar jets at high Reynolds numbers initialized with implicit large eddy simulation
Direct numerical simulation of incompressible turbulent boundary layers and planar jets at high Reynolds numbers initialized with implicit large eddy simulation
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使用隐式大涡模拟初始化的高雷诺数下不可压缩湍流边界层和平面射流的直接数值模拟
DOI：
10.1016/j.compfluid.2019.104314
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
K. Nagata
中科院分区：
文献类型：
--
作者：
T. Watanabe;X. Zhang;K. Nagata
采用隐式大涡模拟（ILES）方法，对平面射流和湍流边界层的时间演化过程进行了直接数值模拟。在ILES中，初始层流发展成平面射流或边界层的充分发展状态。随后，DNS从ILES获得的流场开始。这种混合ILES/DNS方法进行测试的平面射流和边界层的结果与全DNS从初始层流开始比较。作为DNS初始条件的ILES结果不具有小尺度波动。然而，在DNS中的小尺度波动随着时间的推移而增长，并在积分时间尺度的间隔内发展良好，其中从ILES的初始条件的影响消失的速度波动的能量谱。DNS初始化的ILES很好地再现小尺度的湍流特性，如雷诺数依赖的偏斜度和平坦度的速度导数和能量谱的速度波动的惯性子范围和粘性范围。DNS初始化与ILES预测以及统计为主的大尺度，如第一和第二阶统计和纵向自相关函数，与以前的实验和数值研究。雷诺数依赖的平均速度，均方根速度波动，雷诺应力，形状因子，和表面摩擦在湍流边界层在本DNS与以前的实验研究是一致的。这些研究证实了在高雷诺数下湍流剪切流动的DNS中的过渡流区应用ILES的优点。
A direct numerical simulation (DNS) initialized with an implicit large eddy simulation (ILES) is performed for temporally evolving planar jets and turbulent boundary layers. In the ILES, an initial laminar flow develops into a fully developed state of the planar jet or the boundary layer. Subsequently, the DNS is started from the flow field obtained by the ILES. This hybrid ILES/DNS methodology is tested for the planar jet and boundary layer by comparing the results with full DNS started from the initial laminar flow. The ILES results used as the initial conditions of the DNS do not possess small-scale fluctuations. However, the small-scale fluctuations in the DNS grow with time and develop well within an interval of the integral time scale, where the influences of initial conditions taken from the ILES disappear for an energy spectrum of velocity fluctuations. The DNS initialized with the ILES well reproduces small-scale characteristics of turbulence, such as Reynolds number dependence of skewness and flatness of velocity derivative and energy spectrum of velocity fluctuations in the inertial subrange and viscous range. The DNS initialized with the ILES predicts well statistics dominated by large scales, such as 1st- and 2nd-order statistics and longitudinal auto-correlation function, in agreement with previous experimental and numerical studies. Reynolds number dependence of the mean velocity, root-mean-squared velocity fluctuations, Reynolds stress, shape factor, and skin friction in the turbulent boundary layers in the present DNS are consistent with previous experimental studies. These investigations confirm advantages of applying the ILES at the transitional flow region in the DNS of turbulent shear flows at high Reynolds numbers.
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