### 守恒型可压缩一维湍流方法及其在超声速标量混合层中的应用-2021增刊

1. 1. 国防科技大学 空天科学学院 临近空间技术研究所
2. 国防科学技术大学航天与材料工程学院
3. 中国人民解放军国防科技大学 空天科学学院 临近空间技术研究所
4. 国防科技大学 国际关系学院
• 收稿日期:2021-09-13 修回日期:2021-09-28 出版日期:2021-10-09 发布日期:2021-10-09
• 通讯作者: 梁剑寒

### Conserved compressible one-dimensional turbulence method and its application in supersonic scalar mixing layer

• Received:2021-09-13 Revised:2021-09-28 Online:2021-10-09 Published:2021-10-09

Abstract: The One-Dimensional Turbulence (ODT) method is a turbulence modeling method that follows the basic physical laws of turbulence in the one-dimensional computational domain. The statistical laws of turbulence can be accurately captured in the one-dimensional computational domain by combining deterministic and stochastic solving methods, and modeling in the reduced dimension can significantly reduce the amount of computation. ODT method is widely used in the study of incompressible turbulence and turbulent combustion. The modeling method needs to be further improved in order to simulate high-speed compressible turbulent flows. Compared with the incompressible ODT method, the dependent variables are changed from the original variables (ρ, Ui, E, Yi) to the conservative fluxes (ρ, ρUi, ρE, ρYi), based on Euler reference frame, to adapt to the compressible turbulence characteristics, which is beneficial to reduce the error of compressible turbulence simulation, and the component solution module is added in this research. The conservative compressible ODT method which is capable of simulating scalar mixing is developed by further improving both deterministic and stochastic solving modules in a corresponding manner. In the deterministic module, the one-dimensional truncated governing equations solved are adjusted as the ones with conservative fluxes as dependent variables, and the triplet mapped object is correspondingly changed from the original variables to the conservative fluxes and simultaneously the kernel transformation with two kernels is selected to ensure momentum conservation for variable density when one-dimensional eddies are constructed in the stochastic module. The accuracy of the method for capturing scalar mixing in the compressible shear turbulent field was verified by simulating the spatially developing supersonic plane turbulent mixing layer and com-paring the results of the self-similar stage with the experimental results. The mean profile and the fluctuation intensity profile of velocity field and component field captured by the conservative compressible ODT method are in excellent agreement with experimental results. The accuracy of the conservative compressible ODT method is obviously better than that of the large eddy simulation with the gradient diffusion sub-grid closure (LES-GRAD.DIFF.) and of the large eddy simulation coupled with the linear eddy mixing (linear eddy mixing, LEM) model (LES-LEM), and the dimensionality reduction of this method gives it a significant advantage in reducing computational cost.