超声速燃烧中的概率密度函数方法研究进展

Research progress of probability density function approach in supersonic combustion

概率密度函数方法能够精确封闭湍流/化学反应相互作用,在湍流燃烧数值模拟中得到了广泛应用。随着高超声速推进技术的不断发展,超燃冲压发动机内的超声速湍流燃烧为概率密度函数方法的应用带来了新的挑战。首先,综述了概率密度函数方法应用于超声速湍流燃烧的最新进展,概述了概率密度函数方法的基本理论、关键模型和求解框架;其次,介绍了超声速湍流燃烧对概率密度函数方法的理论、模型和数值求解方面的具体挑战和相关研究工作,包括考虑可压缩效应、高速源项模型修正、小尺度混合模型改进等;然后,综述了概率密度函数方法在超声速湍流燃烧中的应用情况;最后,对超声速燃烧中概率密度函数方法的应用前景和发展方向做出了展望。

The probability density function approach can accurately close the turbulent/chemical reaction interaction,and has been widely used in the numerical simulation of turbulent combustion.With the continuous development of the hypersonic propulsion technology,supersonic turbulent combustion in scramjet has brought new challenges to the application of probability density function approach.At first,this paper reviews the latest progress of the application of probability density function approach to supersonic turbulent combustion.The basic theory,key models and solution framework of probability density function approach are summarized.The specific challenges and related research work of the theory,model and numerical solution of the probability density function approach for supersonic turbulent com-bustion are introduced,including the compressibility effect,high-speed source term model correction,and small-scale hybrid model improvement.Then,the application of probability density function approach in supersonic turbulent combustion is reviewed.Finally,the application prospects and development direction of the probability density function approach in supersonic combustion are discussed.