摘要
本研究着力于发展一种新的有限体积法和颗粒方法的混合算法 ,用于湍流 (冷态流以及反应流 )的速度 频率 标量联合PDF(probabilitydensityfunction)输运模型方程的数值求解 .采用一种基于无结构网格的有限体积法 ,求解质量、动量、能量平均守恒方程和平均状态方程 ,为联合PDF的输运模型方程的求解提供其所需的平均速度场和平均密度场 ;颗粒方法中 ,用MonteCarlo算法来求解PDF方程 ,为平均场的计算提供能源源项、雷诺应力、热通量、比热比等信息 .两种方法之间的耦合是一个关键 ,为了验证该算法的可行性 ,论文还对二维V型槽后的湍流冷态流场进行了数值模拟 ,并与实验、大涡模拟、k 模型的结果进行了比较 ,结果表明 ,该算法的结果与实验结果吻合得较好 .
The objective of this study is to develop a new hybrid finite volume/Monte Carlo algorithm for the joint velocity frequency composition PDF equations of turbulent flows(nonreacting as well as chemically reactive flows). A finite volume scheme based on unstructured mesh is used to solve the Reynolds averaged Euler equations and the mean equation of state, and provides mean density and mean velocity for the PDF equations; while a Monte Carlo method is used to solve the joint PDF transport equations, and provide Reynolds stress, heat flux, ′ (and energy source term for reactive flow) for the finite volume scheme. The key is the coupling of these two schemes. To validate this method, numerical experiments are carried out on the nonreacting flow in a reactlinear channel with a triangular shaped bluff body. Comparison of the results with experimental measurements, LES and k ε model shows that the results of this scheme are in good agreement with experimental data.
基金
973课题"燃煤污染防治的基础研究"资助项目 (G19990 2 2 2 0 7)