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湍流燃烧场中高阶统计矩的PDF模拟

PDF Simulation of High-Order Statistical Moments in Turbulent Reacting Flows
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摘要 在非结构网格中,发展有限体积法和Monte Carlo法相结合的混合算法来模拟湍流燃烧,求解相互耦合并且相容的平均密度、动量、能量方程组和脉动速度-标量-频率的联合概率密度函数方程,采用稳态层流火焰面模型计算半详细的化学反应机理.对轴对称钝体火焰驻定器后的扩散燃烧进行模拟,比较了速度和标量的平均量和二阶矩的计算结果和实验数据,并研究了速度的扭率(三阶矩)、扁平因子(四阶矩)及边缘概率密度函数的分布.计算表明,高阶统计矩包含的统计误差比低阶统计矩的大,扭率和扁平系数的峰值则集中在剪切层处. In this paper a consistent hybrid finite volume/Monte Carlo method is developed and applied to triangular unstructured meshes to solve the joint fluctuating velocity-frequency-composition probability density function equation coupled with Reynolds averaged density, momentum and energy equations. Laminar flamelet model is incorporated to calculate semi-detailed chemical mechanisms. The axisymmetric bluff body stabilized diffusion fame is predicted. The simulation results of the first- and second-order moments of turbulent fields, which include mean velocity and scalar fields, Reynolds stresses and root mean squared mixture fraction, are compared with the experimental data. The profiles of skewness ( the third-order moment) and flatness (the fourth-order moment) as well as the marginal probability density function (PDF) distribution of velocity are studied. It is shown that the statistical error in high-order moments is larger than that in low-order moments, and that the values of skewness and flatness reach their peaks in the shear layer.
出处 《燃烧科学与技术》 EI CAS CSCD 北大核心 2009年第1期45-53,共9页 Journal of Combustion Science and Technology
基金 国家自然科学基金资助项目(50506028)
关键词 概率密度函数方法 混合算法 非结构网格 火焰面模型 钝体驻定火焰 probability density function method hybrid algorithm unstructured meshes flamelet model bluff body stabilized flame
作者简介 朱旻明(1977-),女,博士,讲师通讯作者:朱旻明,zhmm@uste.edu.cn.
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参考文献17

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  • 10Liu K, Pope S B, Caughey D A. Calcttlations of bluff-body stabilized flames using a joint PDF model with detailed chemistry [J]. Combustion and Flame, 2005, 141(1/2): 89-117.

二级参考文献27

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