中文摘要：

本文通过使用各向同性湍流燃烧的可压缩DNS数据库对二阶矩（SOM）燃烧模型进行了先验性检验和评价。通过检验,发现忽略密度脉动和三阶脉动关联量是可行的,可以有效地简化反应速率方程。通过对关联量输运方程中的精确项的检验,发现化学反应项的贡献最大,需进行准确的封闭。通过对模化的输运方程的检验,发现部分精确项的模化效果不理想,但总体来说,SOM燃烧模型的思想和方法是可行的,有待进一步的发展。

英文摘要：

A turbulent combustion model,Second-order Moment（SOM） combustion model is validated a-priori using the DNS database of combustion in isotropic turbulence.With the validation it is found that neglecting the density fluctuation and third-order fluctuation correlation terms can simplify the reaction rate equation efficiently.By comparing the exact terms in the correlation terms transport equations,the reaction terms play a dominant role which need to be modeled more accurately.Though some predicted terms are not in good agreement with the DNS values,the SOM closure method can be a feasible method for turbulent combustion modeling and it is necessary to be developed.