被动标量湍流的约束亚格子模型  

A constrained subgrid-scale model for passive scalar turbulence

作　　者：黄鹏 陈宽宇 彭怀午 Hsu-Chew Lee 史一蓬 肖左利 陈十一 万敏平 Peng Huang;Kuanyu Chen;Huaiwu Peng;Hsu-Chew Lee;Yipeng Shi;Zuoli Xiao;Shiyi Chen;Minping Wan(Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China;Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,518055,China;State Key Laboratory for Turbulence and Complex System,College of Engineering,Peking University,Beijing,100871,China;Northwest Survey and Design Research Institute,Xi’an,710065,China;Eastern Institute for Advanced Study,Ningbo,315200,China)

机构地区：[1]Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China [2]Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,518055,China [3]State Key Laboratory for Turbulence and Complex System,College of Engineering,Peking University,Beijing,100871,China [4]Northwest Survey and Design Research Institute,Xi’an,710065,China [5]Eastern Institute for Advanced Study,Ningbo,315200,China

出　　处：《Acta Mechanica Sinica》2023年第4期184-194,共11页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12225204 and 91752201);Department of Science and Technology of Guangdong Province(Grant No.2020B1212030001);the Key-Area Research and Development Program of Guangdong Province(Grant No.2021B0101190003);the Shenzhen Science and Technology Program(Grant No.KQTD20180411143441009);Numerical simulations have been supported by the Center for Computational Science and Engineering of Southern University of Science and Technology.

摘　　要：本文采用约束大涡模拟(C-LES)模型来模拟湍流中的被动标量.通过施加一个基于被动标量大涡模拟(LES)中标量方差通量标度不变量的物理约束来计算动态混合非线性模型(MNLM)的系数.将约束亚格子(SGS)模型与不同的SGS模型在不可压各向同性湍流被动标量中进行比较.此外,C-LES模型减少了SGS标量方差通量在惯性-对流尺度以及较大的黏性-扩散尺度上的变化.先验测试表明,C-LES模型在预测SGS标量通量的方向和大小方面表现最好.此外,C-LES模型减少了SGS标量方差通量在惯性-对流范围内以及粘性-扩散范围内大尺度的变化.在后验测试中,与传统的动态Smagorinsky(DSM)和MNLM模型相比,C-LES模型在预测标量谱和内部间歇性的演变中表现明显更好.这些结果表明,在SGS模型中施加物理约束是在被动标量湍流大涡模拟中的一种有前途的方法.In this paper,a constrained large-eddy simulation(C-LES)model is used to simulate passive scalar in turbulent flows.The coefficients of the dynamic mixed nonlinear model(MNLM)are calculated by imposing a physical constraint that is based on the scale-invariance of the scalar variance flux in the large-eddy simulation(LES)of passive scalar.The constrained subgrid-scale(SGS)model proposed in this work is compared with different SGS models for passive scalar transported by incompressible forced isotropic turbulence.In addition,the models are compared to filtered direct numerical simulation(fDNS)results.A priori test demonstrates that the C-LES model performed the best among the SGS models we considered in predicting the direction and magnitude of the SGS scalar flux.Moreover,the C-LES model reduces the variation of SGS scalar variance flux in the inertial-convective range and at the largest scales in the viscous-diffusive range.In the a posteriori test,compared with the traditional dynamic Smagorinsky(DSM)and MNLM models,the C-LES model is found to perform significantly better in predicting the evolution of the scalar spectrum and internal intermittency.These results indicate that imposing physical constraints in SGS models is a promising approach for developing advanced SGS models in LES of passive scalar turbulence.

关 键 词：SGS模型 亚格子模型 LES模型 各向同性湍流 物理约束 扩散范围 非线性模型 动态混合 

分 类 号：O3[理学—力学]