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Chinese Academy of Sciences Institutional Repositories Grid
Large-eddy simulation for decaying magnetohydrodynamic turbulence at low magnetic Reynolds number

文献类型:期刊论文

作者Fan, YuChang3; Chen, Long1,2; Ni MJ(倪明玖)1,2,3
刊名JOURNAL OF FLUID MECHANICS
出版日期2025-06-05
卷号1012页码:28
关键词MHD turbulence
ISSN号0022-1120
DOI10.1017/jfm.2025.10184
通讯作者Ni, Ming-Jiu(mjni@ucas.ac.cn)
英文摘要Large-eddy simulations have been conducted to investigate the decay law of homogeneous turbulence influenced by a magnetic field within a cubic domain, employing periodic boundary conditions. The initial integral Reynolds number is approximately 1000, while the initial interaction number $N$ ranges from 0.1-100. The results reveal that the Joule cone angle $\theta$ , half of the Joule cone, decays as $\cos \theta \sim t<^>{-1/2}$ when $N \gg 1$ . In the nonlinear stage, small-scale vortices gradually recover and restore three-dimensionality. Moreover, the corresponding critical state at small scales, marking the transition from quasi-two-dimensional structure to the onset of three-dimensionality, has been quantitatively defined. During the linear stage, based on the true magnetic damping number ( $\tau _t = \rho / (\sigma {\boldsymbol{B}}<^>2 \cos <^>2 \psi )$ , where $\sigma$ , $\boldsymbol{B}$ and $\psi$ denote the electrical conductivity, magnetic field and the angle between the wavevector and $\boldsymbol{B}$ in Fourier space, respectively), Moffatt's decay law, $K \sim t<^>{-1/2}$ , manifests at distinct times and zones in the Fourier space, with $K$ signifying turbulent kinetic energy. In the nonlinear stage, for $N \gg 1$ , a $-3$ slope in the energy power spectrum is prominently observed over an extended period. The near-equivalence of the characteristic time scales of inertial and Lorentz forces in the inertial subrange suggests a quasiequilibrium state between energy transfer and Joule dissipation in Fourier space, thereby corroborating the hypothesis proposed by Alemany et al. 1979 Journal de Mecanique 18(2): 277-313. Additionally, it is observed that pressure mediates energy transfer from horizontal kinetic energy ( $K_{\parallel }$ ) to vertical kinetic energy ( $K_{\bot }$ ), accelerating the decay of $K_{\parallel }$ . Notably, concurrent inverse and direct energy transfers emerge during the decay process. Our analysis reveals that the ratio $R$ of the maximum inverse to maximum direct energy flux correlates with the dimensionality of the turbulence, following the scaling law $R\sim (\cos \theta )<^>{-2.2}$ .
分类号一类/力学重要期刊
WOS关键词MHD TURBULENCE ; ENERGY-TRANSFER ; NUMERICAL-SIMULATION ; DUCT FLOW ; SCALE ; VORTEX
资助项目CAS[YSBR-087] ; CAS[XDB0790103]
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:001502320700001
资助机构CAS
其他责任者Ni, Ming-Jiu
源URL[http://dspace.imech.ac.cn/handle/311007/101754]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing 101408, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101408, Peoples R China;
3.Xi An Jiao Tong Univ, Sch Aerosp, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Shannxi, Peoples R China;
推荐引用方式
GB/T 7714
Fan, YuChang,Chen, Long,Ni MJ. Large-eddy simulation for decaying magnetohydrodynamic turbulence at low magnetic Reynolds number[J]. JOURNAL OF FLUID MECHANICS,2025,1012:28.
APA Fan, YuChang,Chen, Long,&倪明玖.(2025).Large-eddy simulation for decaying magnetohydrodynamic turbulence at low magnetic Reynolds number.JOURNAL OF FLUID MECHANICS,1012,28.
MLA Fan, YuChang,et al."Large-eddy simulation for decaying magnetohydrodynamic turbulence at low magnetic Reynolds number".JOURNAL OF FLUID MECHANICS 1012(2025):28.

入库方式: OAI收割

来源:力学研究所

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