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Joint-constraint model for large-eddy simulation of helical turbulence
Yu CP(于长平); Xiao ZL; Shi YP; Chen SY; Xiao, ZL (reprint author), Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China.
Source PublicationPHYSICAL REVIEW E
2014-04-29
Volume89Issue:4Pages:43021
ISSN1539-3755
AbstractA three-term mixed subgrid-scale (SGS) stress model is proposed for large-eddy simulation (LES) of helical turbulence. The newmodel includes a Smagorinsky-Lilly term, a velocity gradient term, and a symmetric vorticity gradient term. The model coefficients are determined by minimizing the mean square error between the realistic and modeled Leonard stresses under a joint constraint of kinetic energy and helicity fluxes. The model formulated as such is referred to as joint-constraint dynamic three-term model (JCD3TM). First, the new model is evaluated a priori using the direct numerical simulation (DNS) data of homogeneous isotropic turbulence with helical forcing. It is shown that the SGS dissipation fractions from all three terms in JCD3TM have the properties of length-scale invariance in inertial subrange. JCD3TM can predict the SGS stresses, energy flux, and helicity flux more accurately than the dynamic Smagorinsky model (DSM) and dynamic mixed helical model (DMHM) in both pointwise and statistical senses. Then, the performance of JCD3TM is tested a posteriori in LESs of both forced and freely decaying helical isotropic turbulence. It is found that JCD3TM possesses certain features of superiority over the other two models in predicting the energy spectrum, helicity spectrum, high-order statistics, etc. It is also noteworthy that JCD3TM is capable of simulating the evolutions of both energy and helicity spectra more precisely than other models in decaying helical turbulence. We claim that the present SGS model can capture the main helical features of turbulent motions and may serve as a useful tool for LES of helical turbulent flows.
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000335232600008
Funding OrganizationWe are grateful to Jianchun Wang and Kun Yang for many beneficial discussions on this work. Numerical simulations were carried out using the Dragon-1 cluster computer in the College of Engineering at Peking University and the Tianhe-1A supercomputing facility at the National Supercomputer Center in Tianjin, China. We acknowledge the financial support provided by the National Natural Science Foundation of China (GrantsNo. 91130001, No. 11221061, No. 11372007, and No. 11372330). This work was also supported by the 973 Program (Grant No. 2013CB834100) and the 863 Program (Grant No. 2012AA01A304).
DepartmentLHD可压缩湍流
Classification一类
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48846
Collection高温气体动力学国家重点实验室
Corresponding AuthorXiao, ZL (reprint author), Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China.
Recommended Citation
GB/T 7714
Yu CP,Xiao ZL,Shi YP,et al. Joint-constraint model for large-eddy simulation of helical turbulence[J]. PHYSICAL REVIEW E,2014,89(4):43021.
APA Yu CP,Xiao ZL,Shi YP,Chen SY,&Xiao, ZL .(2014).Joint-constraint model for large-eddy simulation of helical turbulence.PHYSICAL REVIEW E,89(4),43021.
MLA Yu CP,et al."Joint-constraint model for large-eddy simulation of helical turbulence".PHYSICAL REVIEW E 89.4(2014):43021.
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