一般曲线坐标系下概率密度函数方法及其在超声速燃烧中的应用

doi:10.7527/S1000-6893.2022.26677

Abstract

Abstract:

The transported Probability Density Function （PDF） method can accurately solve turbulence/chemical reaction interactions， and can be used as a reliable computational model for complex supersonic turbulent combustion simulations in scramjet engines. At present， research on the PDF method for the supersonic flow is mostly confined to simple configuration， which seriously limits its application in practical supersonic combustion. The objective of this paper is to develop a curvilinear PDF method based on multi-block structured grids， which is applicable to the simulation of real supersonic combustion problems with complex configurations. The PDF equations and stochastic differential equations in curvilinear coordinates are derived， and the PDF method in a general curvilinear coordinate system and its numerical solution framework are established. A method for particle tracking in curvilinear coordinates on the multi-block structural grid is proposed. The topological information between multiple grid blocks is used for particle local coordinate transformation and communication， which solves the problem of inconsistency between particle local coordinates and global coordinates in curvilinear coordinates. Continuous tracking of particles on the global grid is successfully achieved. The accuracy of the curvilinear coordinate method and model is verified by comparing the results with the exact solution and direct numerical simulations in the one-dimensional shock tube and two-dimensional temporal mixing layer. The ability of the method to handle complex configurations is further tested in the simulations of the flow around a two-dimensional cylinder and a three-dimensional spherical blunt. Finally， numerical simulation of a typical supersonic coaxial jet flame is carried out， and the numerical results are quantitatively compared with the experimental results. The comparison results show that the predicted reaction components are in good agreement with those obtained in the experiment， which comprehensively verifies the applicability and accuracy of the PDF method in the general curvilinear coordinate system in actual supersonic combustion problems.

Key words: probability density function method, large eddy simulation, particle tracking, curvilinear coordinates, supersonic combustion

CLC Number:

V231.21

Qingdi GUAN, Jianhan LIANG, Lin ZHANG, Wenwu CHEN, Yuqiao CHEN. Probability density function method in general curvilinear coordinate system and its application in supersonic combustion[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(4): 126677-126677.

Figures/Tables 18

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Table 1

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实验参数	数值
实验参数	内射流	外射流
马赫数	2.0	1.9
温度/K	251	1 495
速度/（m∙s^-1）	2 432	1 510
压力/kPa	100	100
H₂质量分数	1.0	0
O₂质量分数	0	0.261
H₂O质量分数	0	0.271
N₂质量分数	0	0.468

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Probability density function method in general curvilinear coordinate system and its application in supersonic combustion

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