Subgrid-scale helicity equation model for large-eddy simulation of turbulent flows | |
Qi H(齐涵)1,2; Li XL(李新亮)1,2; Yu ZP(于长平)2 | |
刊名 | PHYSICS OF FLUIDS |
2021-03-01 | |
卷号 | 33期号:3页码:13 |
ISSN号 | 1070-6631 |
DOI | 10.1063/5.0038165 |
通讯作者 | Yu, Changping(cpyu@imech.ac.cn) |
英文摘要 | A new one-equation eddy-viscosity model based on subgrid-scale (SGS) helicity is introduced in this paper for large-eddy simulation (LES) of turbulent flows. First, the governing equation of SGS helicity is deduced from the incompressible Navier-Stokes equations, and it reflects the transfer of the small-scale helicity that has been filtered out. We deduce a certain functional relation between the eddy viscosity and SGS helicity based on the kinetic energy and helicity spectra in the homogeneous and isotropic helical turbulence. For improving the accuracy, each unclosed term in the governing equation of SGS helicity is modeled independently, and the coefficients of these unclosed terms are constants or are determined dynamically. The new one-equation eddy-viscosity model is first tested and validated in the simulation of the homogeneous and isotropic helical turbulence. The a priori tests from the direct numerical simulation of forced homogeneous and isotropic turbulence show that the energy and helicity fluxes exhibit scale invariance in the inertial subrange. Additionally, the a posteriori tests demonstrate that the constant-coefficient and dynamic SGS helicity equation models can predict both the energy and helicity spectra more precisely than the common SGS models. For the LES of channel flow, the SGS helicity equation model can accurately predict the mean velocity, the turbulent stress, and the viscous shear stress and supply more abundant flow structures than the compared SGS model under the same grid resolution. |
分类号 | 一类/力学重要期刊 |
资助项目 | National Key Research and Development Program of China[2020YFA0711800] ; National Key Research and Development Program of China[2019YFA0405300] ; National Key Research and Development Program of China[2016YFA0401200] ; NSFC[91852203] ; NSFC[12072349] ; National Numerical Windtunnel Project ; Science Challenge Project[TZ2016001] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDC01000000] |
WOS研究方向 | Mechanics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000629011300007 |
资助机构 | National Key Research and Development Program of China ; NSFC ; National Numerical Windtunnel Project ; Science Challenge Project ; Strategic Priority Research Program of Chinese Academy of Sciences |
内容类型 | 期刊论文 |
源URL | [http://dspace.imech.ac.cn/handle/311007/86329] |
专题 | 力学研究所_高温气体动力学国家重点实验室 |
作者单位 | 1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China; |
推荐引用方式 GB/T 7714 | Qi H,Li XL,Yu ZP. Subgrid-scale helicity equation model for large-eddy simulation of turbulent flows[J]. PHYSICS OF FLUIDS,2021,33(3):13. |
APA | 齐涵,李新亮,&于长平.(2021).Subgrid-scale helicity equation model for large-eddy simulation of turbulent flows.PHYSICS OF FLUIDS,33(3),13. |
MLA | 齐涵,et al."Subgrid-scale helicity equation model for large-eddy simulation of turbulent flows".PHYSICS OF FLUIDS 33.3(2021):13. |
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