Abstract Turbulent combustion models are substantially important in CFD simulation of combustion. Some simple models frequently cannot well simulate the finite-rate chemistry. Widely recognized models are good only for certain flame types and flame structures. More general is the PDF equation model, but its computation requirement is very large, in particular when using large-eddy simulation (LES). Alternatively, the statistical moment models, such as unconditional moment models were developed based on the idea of turbulence modeling. However, the difficulty in treating the highly nonlinear exponential function of temperature in the reaction term was encountered. Different investigators adopted various approximations by neglecting different correlation terms, leading to under-predicting the time-averaged reaction rate. The present author entirely abandoned different approximations, proposed a final version of the second-order moment (SOM) model. This final version was used in both RANS modeling and LES of different single-phase and two-phase flames. It was validated by both experimental results and direct numerical simulation (DNS).

中文翻译：

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开发湍流燃烧的无条件力矩模型

摘要 湍流燃烧模型在燃烧的CFD模拟中非常重要。一些简单的模型经常不能很好地模拟有限速率化学。广泛认可的模型仅适用于某些火焰类型和火焰结构。更通用的是PDF方程模型，但其计算量非常大，特别是在使用大涡模拟（LES）时。或者，基于湍流建模的思想开发了统计矩模型，例如无条件矩模型。然而，在处理反应项中温度的高度非线性指数函数时遇到了困难。不同的研究人员通过忽略不同的相关项而采用了各种近似值，导致对时间平均反应速率的预测不足。本作者完全放弃了不同的近似，提出了二阶矩（SOM）模型的最终版本。该最终版本用于不同单相和两相火焰的 RANS 建模和 LES。它得到了实验结果和直接数值模拟 (DNS) 的验证。