Scalar dissipation rate modelling for Large Eddy Simulation of turbulent premixed flames

Scalar dissipation rate modelling for Large Eddy Simulation of turbulent premixed flames
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湍流预混火焰大涡模拟的标量耗散率建模

DOI:
10.1016/j.proci.2012.06.143
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发表时间:
2013
影响因子:
3.4
通讯作者:
Dunstan T
Dunstan T
中科院分区:
工程技术1区
文献类型:
--
作者:
Dunstan T

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本文利用基于化学反应的直接数值模拟(DNS)数据,分析了湍流预混燃烧大涡模拟(LES)中标量耗散率(SDR)的统计特性。详细分析了SDR的滤波器尺寸依赖性,并且已经证明,如果滤波器宽度Δ保持大于热火焰厚度δth,则使用Favre滤波SDR可以令人满意地关闭滤波反应速率。由于SDR和广义火焰表面密度(FSD)之间的密切关系,FSD对过滤器尺寸的依赖性也得到了解决。已经发现,一个分形维数为基础的幂律模型令人满意地捕捉到的全局和局部行为的广义FSD在LES的上下文中。火焰表面的分形维数和内部截止尺度的基础上的体积平均值的FSD被发现与以前的分析,实验和DNS的研究结果吻合得很好。密度加权SDR的体积积分滤波值与其分辨分量之比以Δ为单位呈现幂律,其内部截止尺度以δth为标度。一个基于幂律的全球指数和内部截止尺度的模型被发现是不足以捕捉SDR的局部变化可能是由于其多重分形性质。SDR,这是最初提出的雷诺平均Navier Stokes模拟的代数模型,已扩展到这里LES,这是令人满意地捕捉SDR的全球和本地的行为。
The statistical behaviours of scalar dissipation rate (SDR) in the context Large Eddy Simulations (LES) of turbulent premixed combustion have been analysed using a simplified chemistry based Direct Numerical Simulations (DNS) data of a turbulent V-flame. The filter size dependence of the SDR is analysed in detail and it has been demonstrated that the filtered reaction rate can be satisfactorily closed using the Favre filtered SDR provided the filter width, Δ, remains greater than the thermal flame thickness, δth. Due to the close relation between the SDR and generalised Flame Surface Density (FSD), the dependence of the FSD on filter size has also been addressed. It has been found that a fractal dimension based power-law model satisfactorily captures the global and local behaviours of the generalised FSD in the context of LES. The fractal dimension and the inner cut-off scale for flame surface based on the volume-averaged value of the FSD are found to be in good agreement with previous analytical, experimental and DNS studies. The ratio of the volume-integrated filtered value of density-weighted SDR to its resolved component exhibits a power-law in terms of Δ with an inner cut-off scale scaling with δth. A power-law based model with a global exponent and inner cut-off scale is found to be insufficient to capture the local variations of SDR possibly due to its multi-fractal nature. An algebraic model for SDR, which was originally proposed for Reynolds Averaged Navier Stokes simulations, has been extended here for LES, which is found to satisfactorily capture both the global and local behaviours of SDR.
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