中文摘要：

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一标量一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．

英文摘要：

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.