| Title | Energy transfer and third-order law in forced anisotropic magneto-hydrodynamic turbulence with hyper-viscosity |
| Author | |
| Corresponding Author | Yang, Yan; Wan, Minping |
| Publication Years | 2023-10-27
|
| DOI | |
| Source Title | |
| ISSN | 0022-1120
|
| EISSN | 1469-7645
|
| Volume | 974 |
| Abstract | The third-order law links energy transfer rates in the inertial range of magnetohydrodynamic (MHD) turbulence with third-order structure functions. Anisotropy, a typical property in the solar wind, challenges the applicability of the third-order law with the isotropic assumption. To shed light on the energy transfer process in the presence of anisotropy, we conducted direct numerical simulations of forced MHD turbulence with normal and hyper-viscosity under various strengths of the external magnetic field (B-0), and calculated three forms of third-order structure function with or without averaging of the azimuthal or polar angles with respect to B-0 direction. Correspondingly, three estimated energy transfer rates were obtained. The result shows that the peak of normalized third-order structure function occurs at larger scales closer to the B-0 direction, and the maximum of longitudinal transfer rates shifts away from the B-0 direction at larger B-0. Compared with normal viscous cases, hyper-viscous cases can attain better separated inertial range, thus facilitating the estimation of the energy cascade rates. We find that the widespread use of the isotropic form of the third-order law in estimating the energy transfer rates is questionable in some cases, especially when the anisotropy arising from the mean magnetic field is inevitable. In contrast, the direction-averaged third-order structure function properly accounts for the effect of anisotropy and predicts the energy transfer rates and inertial range accurately, even at very high B-0. With limited statistics, the third-order structure function shows a stronger dependence on averaging of azimuthal angles than the time, especially for high B-0 cases. These findings provide insights into the anisotropic effect on the estimation of energy transfer rates. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Mechanics
; Physics
|
| WOS Subject | Mechanics
; Physics, Fluids & Plasmas
|
| WOS Accession No | WOS:001088072700001
|
| Publisher | |
| ESI Research Field | ENGINEERING
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/582779 |
| Department | Department of Mechanics and Aerospace Engineering |
| Affiliation | 1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Guangdong Prov Key Lab Turbulence Res & Applicat, Shenzhen 518055, Peoples R China 2.Southern Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven Fl, Shenzhen 518055, Peoples R China 3.Univ Delaware, Dept Phys & Astron, Newark, DE 19716 USA 4.Univ Hong Kong, Dept Mech Engn, Hong Kong 999077, Peoples R China |
| First Author Affilication | Department of Mechanics and Aerospace Engineering; Southern University of Science and Technology |
| Corresponding Author Affilication | Department of Mechanics and Aerospace Engineering; Southern University of Science and Technology |
| First Author's First Affilication | Department of Mechanics and Aerospace Engineering |
| Recommended Citation GB/T 7714 |
Jiang, Bin,Li, Cheng,Yang, Yan,et al. Energy transfer and third-order law in forced anisotropic magneto-hydrodynamic turbulence with hyper-viscosity[J]. JOURNAL OF FLUID MECHANICS,2023,974.
|
| APA |
Jiang, Bin,Li, Cheng,Yang, Yan,Zhou, Kangcheng,Matthaeus, William H.,&Wan, Minping.(2023).Energy transfer and third-order law in forced anisotropic magneto-hydrodynamic turbulence with hyper-viscosity.JOURNAL OF FLUID MECHANICS,974.
|
| MLA |
Jiang, Bin,et al."Energy transfer and third-order law in forced anisotropic magneto-hydrodynamic turbulence with hyper-viscosity".JOURNAL OF FLUID MECHANICS 974(2023).
|
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