The Eulerian Stochastic Fields (ESF) Monte Carlo method to solve the transported PDF (TPDF) equation is extended to account for differential diffusion effects by incorporating species individual molecular diffusivities. The method has been applied in Large Eddy simulation (LES) to non-piloted oxy-fuel jet flames at different Reynolds numbers experimentally investigated by Sevault et al. [1]. Due to the high H₂ content in the fuel stream and CO₂ in the oxidizer these flames pose new challenges to combustion modeling as the flame structures are different compared to CH₄/air flames. The simulations show very good agreement with the experiments in terms of mixture fraction conditional mean values for temperature and mayor species on the fuel lean side and the reaction zone, deviations on the fuel rich side are discussed. The trend and location of localized extinction is reproduced well in the simulations, as well as differential diffusion effects in the near field. Additionally, it is shown that a neglect of differential diffusion in the combustion model leads to a lifted flame.

扩展了欧拉随机场（ESF）蒙特卡洛方法来解决运输的PDF（TPDF）方程，从而通过结合物种个体的分子扩散性来解决微分扩散效应。该方法已在大型涡流模拟（LES）中应用于由Sevault等人实验研究的不同雷诺数的非引燃含氧燃料喷射火焰。[1]。由于高ħ ₂的燃料流中的内容和CO ₂在氧化剂这些火焰会对燃烧建模为火焰结构的新的挑战相比CH不同₄/空气火焰。模拟结果表明，在稀油侧和反应区的温度和市长种类的混合分数条件平均值方面，与实验非常吻合，讨论了浓油侧的偏差。模拟中很好地再现了局部灭绝的趋势和位置，以及近场中的微分扩散效应。此外，还表明，忽略燃烧模型中的差异扩散会导致火焰上升。