Structures and energy transfer in MHD turbulence

WAN Minping; YANG Yan

doi:10.7638/kqdlxxb-2019.0150

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Structures and energy transfer in MHD turbulence

更新时间：2026-05-28

- Structures and energy transfer in MHD turbulence
- Vol. 38, Issue 1, Pages: 160-170(2020)
- 作者机构：
  
  南方科技大学力学与航空航天工程系,广东,深圳,518055
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2019.0150
  CLC： V211.3
- Published：2020
- 稿件说明：
移动端阅览
万敏平, 杨艳. 磁流体湍流中的结构和能量传输[J]. 空气动力学学报, 2020, 38(1): 160-170.

WAN Minping, YANG Yan. Structures and energy transfer in MHD turbulence[J]. 2020, 38(1): 160-170.
万敏平, 杨艳. 磁流体湍流中的结构和能量传输[J]. 空气动力学学报, 2020, 38(1): 160-170. DOI： 10.7638/kqdlxxb-2019.0150.

WAN Minping, YANG Yan. Structures and energy transfer in MHD turbulence[J]. 2020, 38(1): 160-170. DOI： 10.7638/kqdlxxb-2019.0150.

摘要

磁流体湍流中存在多种相干结构，包括电流和涡旋结构。文章主要对近几年有关磁流体湍流相干结构及其相关的能量传输的一些工作进行了介绍。不同于中性流体湍流中的管状结构，磁流体中的相干结构多呈现为片状，强电流片附近也存在强涡片结构。磁流体湍流中的能量级串使能量跨尺度从大尺度传递至小尺度；与中性流体湍流能量传输主要集中在相近尺度上不同，磁流体湍流除了动能传输，还有磁能传输，以及动能与磁能之间的跨尺度互相转换。研究表明，磁流体湍流中的能量传输及耗散具有强间歇性，集中在较小区域范围，且与相干结构存在关联。在存在背景磁场的情况下，磁流体湍流中的相干结构在背景磁场方向上被拉长，而同样方向上的能量传输受到抑制。在高马赫数的情况下，激波的产生会使能量传输明显增强，同时带来很强的间歇性，结构函数标度律远远偏离线性标度关系，并且随着阶数的增加，标度指数会达到饱和值。

Abstract

There are several types of coherent structures in magnetohydrodynamic (MHD) turbulence

including current and vortex structures. The article reviews some of the recent works on the study of coherent structures and the related energy transfer in MHD turbulence. Different from the tubular structures in hydrodynamic (HD) turbulence

the coherent structures in MHD are mostly sheet-like structures

with strong current sheets accompanied by sheet-like vortex structures. Unlike the energy cascade in HD turbulence

where kinetic energy is transferred from large scales to small scales locally

the energy cascade in MHD is more complicated. In addition to the local transfer of kinetic energy

there is also a local transfer of magnetic energies across scales

as well as a non-local conversion between kinetic and magnetic energies. Studies have shown that energy transfer and dissipation in MHD turbulence are strongly intermittent

concentrated in a small area

and associated with coherent structures. In the presence of a strong background magnetic field

the coherent structures in MHD turbulence are elongated in the direction of the background magnetic field

while energy transfer in the same direction is suppressed. In the case of compressible MHD turbulence

the generation of shocks significantly enhances the energy transfer

and at the same time brings a strong intermittency. The scaling of density structure functions is found far from a linear scale

and scaling exponent saturates with the increase of the order of structure functions.

关键词

Keywords

references

GOLDSTEIN M L, ROBERTS D A, MATTHAEUS W H. Magnetohydrodynamic turbulence in the solar wind[J]. Annual Review of Astronomy and Astrophysics, 1995, 33(1):283-325.

BISKAMP D. Magnetohydrodynamic turbulence[M]. Cambridge:Cambridge University Press, 2003.

XU F. Various problems of mechanics in nuclear fusion reactors[J]. Advances in Mechanics, 1994, 24(3):301-314. (in Chinese)

HE X, CHEN J Q, DENG X G. NND scheme's application in multi-dimensional ideal magnetohydrodynamic equations[J]. Acta Aerodynamica Sinica, 2005, 23(3):267-273. (in Chinese)

LI M, ZHOU J M, WANG C H. Coupled simulation of multiple physical fields in a 300kA aluminum electrolysis cell[J]. The Chinese Journal of Process Engineering, 2007, 7(2):354-359. (in Chinese)

ZHANG K P, TIAN Z Y, FENG D H, et al. Numerical study of acceleration/deceleration control of three-dimensional magnetohydrodynamic flow in channel[J]. Acta Aerodynamica Sinica, 2009, 27(4):474-479. (in Chinese)

SU W Y, CHEN L H, ZHANG X Y. Physics and numerical simulations of MHD accelerated supersonic boundary layer[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(4):782-788. (in Chinese)

HOU J, MAO J, PAN H C. Numerical simulation of MHD duct flow about laminar and turbulence model[J]. Nuclear Fusion and Plasma Physics, 2013, 33(1):7-12. (in Chinese)

MENG X S, SONG K, LONG Y X, et al. Airflow control by NS-SDBD plasma actuators[J]. Acta Aerodynamica Sinica, 2018, 36(6):901-916. (in Chinese)

XUE M, GAO C, LIU F, et al. Characteristics of vortex induced by DBD plasma actuator under unsteady excitation in quiescent air[J]. Acta Aerodynamica Sinica, 2019, 37(1):83-88. (in Chinese)

ORSZAG S A, TANG C M. Small-scale structure of two-dimensional magnetohydrodynamic turbulence[J]. Journal of Fluid Mechanics, 1979, 90(1):129-143.

MATTHAEUS W H. Reconnection in two dimensions:localization of vorticity and current near magnetic X-points[J]. Geophysical Research Letter, 1982, 9(6):660-663.

CARBONE V, VELTRI P, MANGENEY A. Coherent structure formation and magnetic field line reconnection in magnetohydrodynamic turbulence[J]. Physics of Fluids A:Fluid Dynamics, 1990, 2(8):1487-1496.

POLITANO H, POUQUET A, SULEM P L. Current and vorticity dynamics in three-dimensional magnetohydrodynamic turbulence[J]. Physics of Plasmas, 1995, 2:2931-2939.

KINNEY R, MCWILLIAMS J C, TAJIMA T. Coherent structures and turbulent cascades in two-dimensional incompressible magnetohydrodynamic turbulence[J]. Physics of Plasmas, 1995, 2(10):3623-3639.

COWLEY S C, LONGCOPE D W, SUDAN R N. Current sheets in MHD turbulence[J]. Physics Reports, 1997, 283(1-4):227-251.

GLAUERT M B. A study of the magnetohydrodynamic boundary layer on a flat plate[J]. Journal of Fluid Mechanics, 1961, 10:276-288.

KOLMOGOROV A N. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers[J]. Proceedings of the Royal Society of London. Series A:Mathematical and Physical Sciences, 1991, 434(1890):9-13.

KOLMOGOROV A N. Dissipation of energy in the locally isotropic turbulence[J]. Proceedings of the Royal Society of London. Series A:Mathematical and Physical Sciences, 1991, 434(1890):15-17.

FRISCH U. Turbulence:the legacy of A. N. Kolmogorov[M]. Cambridge:Cambridge University Press, 1995.

GAILITIS A, LIELAUSIS O, PLATACIS E, et al. Colloquium:Laboratory experiments on hydromagnetic dynamos[J]. Reviews of Modern Physics, 2002, 74(4):973.

ELMEGREEN B G, SCALO J. Interstellar turbulence I:observations and processes[J]. Annual Review of Astronomy and Astrophysics, 2004, 42:211-273.

SAHOO G, PERLEKAR P, PANDIT R. Systematics of the magnetic-Prandtl-number dependence of homogeneous, isotropic magnetohydrodynamic turbulence[J]. New Journal of Physics, 2011, 13:013036.

SHE Z S, JACJSON E, ORSZAG S A. Intermittent vortex structures in homogeneous isotropic turbulence[J]. Nature, 1990, 344(6263):226.

VINCENT A, MENEGUZZI M. The spatial structure and statistical properties of homogeneous turbulence[J]. Journal of Fluid Mechanics, 1991, 225:1-20.

JIMÉNEZ J, WRAY A A, SAFFMAN P G, et al. The structures of intense vorticity in isotropic turbulence[J]. Journal of Fluid Mechanics, 1993, 255:65-90.

ZIKANOV O, THESS A. Direct numerical simulation of forced MHD turbulence at low magnetic Reynolds number[J]. Journal of Fluid Mechanics, 1998, 358:299-333.

MININNI P D, POUQUET A G, MONTGOMERY D C. Small-scale structures in three-dimensional magnetohydrodynamic turbulence[J]. Physical Review Letters, 2006, 97:244503.

MININNI P, LEE E, NORTON A, et al. Flow visualization and field line advection in computational fluid dynamics:application to magnetic fields and turbulent flows[J]. New Journal of Physics, 2008, 10:125007.

GRECO A, MATTHAEUS W H, SERVIDIO S, et al. Statistical analysis of discontinuities in solar wind ACE data and comparison with intermittent MHD turbulence[J]. The Astrophysical Journal, 2009, 691:L111-L114.

MATTHAEUS W H, WAN M P, SERVIDIO S, et al. Intermittency, nonlinear dynamics and dissipation in solar wind and astrophysical plasmas[J]. Philosophical Transaction of the Royal Society A:Mathematical, Physical and Engineering Sciences, 2015, 373(2041):20140154.

CHONG M S, PERRY A E, CANTWELL B J. A general classification of three-dimensional flow fields[J]. Physics of Fluids A:Fluid Dynamics, 1990, 2(5):765-777.

OOI A, MARTIN J, SORIA J, et al. A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence[J]. Journal of Fluid Mechanics, 1999, 381:141-174.

WANG J C, SHI Y P, WANG L P, et al. Effect of compressibility on the small-scale structures in isotropic turbulence[J]. Journal of Fluid Mechanics, 2012, 713:588-631.

CANTWELL B J. Introduction of symmetry analysis[M]. Cambridge:Cambridge University Press, 2002.

BLACK H M, MANSOUR N N, CANTWELL B J. Topology of fine-scale motions in turbulent channel flow[J]. Journal of Fluid Mechanics, 1996, 310:269-292.

DALLAS V, ALEXAKIS A. Structures and dynamics of small scales in decaying magnetohydrodynamic turbulence[J]. Physics of Fluids, 2013, 25:105106.

YANG Y, MATTHAEUS W H, PARASHAR T N, et al. Energy transfer, pressure tensor, and heating of kinetic plasma[J]. Physics of Plasmas, 2017, 24:072306.

PARASHAR T N, MATTHAEUS W H. Propinquity of current and vortex structures:effects on collisionless plasma heating[J]. The Astrophysical Journal, 2016, 832:57.

BURLAGA L F, NORMAN F N. Macro-and micro-structure of the interplanetary magnetic field[J]. Canadian Journal of Physics, 1968, 46(10):S962-S965.

TSURUTANI B T, SMITH E J. Interplanetary discontinuities:Temporal variations and the radial gradient from 1 to 8.5 AU[J]. Journal of Geophysical Research:Space Physics, 1979, 84(A6):2773-2787.

GRECO A, CHUYCHAI P, MATTHAEUS W H, et al. Intermittent MHD structures and classical discontinuities[J]. Geophysical Research Letters, 2008, 35:L19111.

BRUNO R, CARBONE V, VELTRI P, et al. Identifying intermittency events in the solar wind[J]. Planetary and Space Science, 2001, 49(12):1201-1210.

MATTHAEUS W H, GOLDSTEIN M L. Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind[J]. Journal of Geophysical Research:Space Physics, 1982, 87(A8):6011-6028.

MVLLER W C, GRAPPIN R. Spectral energy dynamics in magnetohydrodynamic turbulence[J]. Physical Review Letters, 2005, 95(11):114502.

BELCHER J W, DAVIS L. Large-amplitude Alfvén waves in the interplanetary medium, 2[J]. Journal of Geophysical Research, 1971, 76(16):3534-3563.

IROSHNIKOV P. Turbulence of a conducting fluid in a strong magnetic field[J]. Soviet Astronomy, 1964, 7:566.

KRAICHNAN R H. Inertial-range spectrum of hydromagnetic turbulence[J]. Physics of Fluids, 1965, 8(7):1385-1387.

TU C Y. The damping of interplanetary Alfvénic fluctuations and the heating of the solar wind[J]. Journal of Geophysical Research:Space Physics, 1988, 93(A1):7-20.

MATTHAEUS W H, ZHOU Y. Extended inertial range phenomenology of magnetohydrodynamic turbulence[J]. Physics of Fluids B:Plasma Physics, 1989, 1(9):1929-1931.

MONIN A S, YAGLOM A M. Statistical fluid mechanics:mechanics of turbulence, volume 2[M]. Cambridge, MA:MIT Press, 1975.

POLITANO H, POUQUET A. Von Kármán-Howarth equation for magnetohydrodynamics and its consequences on third-order longitudinal structure and correlation functions[J]. Physics Review E, 1998, 57:R21-R24.

SORRISO-VALVO L, MARINO R, CARBONE V, et al. Observation of inertial energy cascade in interplanetary space plasma[J]. Physical Review Letters, 2007, 99(11):115001.

COBURN J T, FORMAN M A, SMITH C W, et al. Third-moment descriptions of the interplanetary turbulent cascade, intermittency and back transfer[J]. Philosophical Transactions of the Royal Society A:Mathematical, Physical and Engineering Sciences, 2015, 373(2041):20140150.

BANDYOPADHYAY R, CHASAPIS A, CHHIBER R, et al. Solar wind turbulence studies using MMS fast plasma investigation data[J]. The Astrophysical Journal, 2018, 866(2):81.

SORRISO-VALVO L, CARBONE V, NOULLEZ A, et al. Analysis of cancellation in two-dimensional magnetohydrodynamic turbulence[J]. Physics of Plasmas, 2002, 9(1):89-95.

YANG Y, WAN M P, MATTHAEUS W H, et al. Scale dependence of energy transfer in turbulent plasma[J]. Monthly Notices of the Royal Astronomical Society, 2019, 482:4933-4940.

EYINK G L. Locality of turbulent cascades[J]. Physica D:Nonlinear Phenomena, 2005, 207(1-2):91-116.

KRAICHNAN R H. Inertial-range transfer in two-and three-dimensional turbulence[J]. Journal of Fluid Mechanics, 1971, 47(3):525-535.

OHKITANI K, KIDA S. Triad interactions in a forced turbulence[J]. Physics of Fluids A:Fluid Dynamics, 1992, 4(4):794-802.

ZHOU Y. Degrees of locality of energy transfer in the inertial range[J]. Physics of Fluids A:Fluid Dynamics, 1993, 5(5):1092-1094.

DOMARADZKI J A, CARATI D. An analysis of the energy transfer and the locality of nonlinear interactions in turbulence[J]. Physics of Fluids, 2007, 19(8):085112.

EYINK G L, ALUIE H. Localness of energy cascade in hydrodynamic turbulence[J]. Physics of Fluids, 2009, 21(11):115107.

VERMA M K, AYYER A, CHANDRA A V. Energy transfers and locality in magnetohydrodynamic turbulence[J]. Physics of Plasmas, 2005, 12(8):082307.

ALEXAKIS A, MININNI P D, POUQUET A. Shell-to-shell energy transfer in magnetohydrodynamics. I. Steady state turbulence[J]. Physical Review E, 2005, 72(4):046301.

MININNI P D. Scale interactions in magnetohydrodynamic turbulence[J]. Annual Review of Fluid Mechanics, 2011, 43:377-397.

ALUIE H, EYINK G L. Scale locality of magnetohydrodynamic turbulence[J]. Physical Review Letters, 2010, 104(8):081101.

GERMANO M. Turbulence:the filtering approach[J]. Journal of Fluid Mechanics, 1992, 238:325-336.

CHEN S Y, ECKE R E, EYINK G L, et al. Physical mechanism of the two-dimensional inverse energy cascade[J]. Physical Review Letters, 2006, 96(8):084502.

WANG J C, YANG Y T, SHI Y P, et al. Cascade of kinetic energy in three-dimensional compressible turbulence[J]. Physical Review Letters, 2013, 110:214505.

YANG Y, MATTHAEUS W H, SHI Y P, et al. Compressibility effect on coherent structures, energy transfer, and scaling in magnetohydrodynamic turbulence[J]. Physics of Fluids, 2017, 29:035105.

CAMPOREALE E, SORRISO-VALVO L, CALIFANO F, et al.Coherent structures and spectral energy transfer in turbulent plasma:a space-filter approach[J]. Physical Review Letters, 2018, 120(12):125101.

YANG Y. Energy transfer and dissipation in plasma turbulence:from compressible MHD to collisionless plasma[M]. Singapore:Springer Singapore, 2019.

WAN M P, MATTHAEUS W H, ROYTERSHTEYN V, et al. Intermittency, coherent structures and dissipation in plasma turbulence[J]. Physics of Plasmas, 2016, 23:042307.

LAMRIBEN C, CORTET P P, MOISY F. Direct measurements of anisotropic energy transfers in a rotating turbulence experiment[J]. Physical Review Letters, 2011, 107(2):024503

HORBURY T S, WICKS R T, CHEN C H K. Anisotropy in space plasma turbulence:solar wind observations[J]. Space Science Reviews, 2012, 172:325-342.

OUGHTON S, MATTHAEUS W H, WAN M P, et al. Anisotropy in solar wind plasma turbulence[J]. Philosophical Transaction of the Royal Society A:Mathematical, Physical and Engineering Sciences, 2015, 373(2041):20140152.

KIYANI K H, CHAPMAN S C, SAHRAOUI F, et al. Enhanced magnetic compressibility and isotropic scale invariance at sub-ion Larmor scales in solar wind turbulence[J]. The Astrophysical Journal, 2012, 763(1):10.

LUO Q Y, WU D J. Observations of anisotropic scaling of solar wind turbulence[J]. The Astrophysical Journal Letters, 2010, 714(1):L138.

SHEBALIN J V, MATTHAUES W H, MONTGOMERY D C. Anisotropy in MHD turbulence due to a mean magnetic field[J]. Journal of Plasma Physics, 1983, 29(3):525-547.

ZHOU Y, MATTHAEUS W H, DMITRUK P. Colloquium:Magnetohydrodynamic turbulence and time scales in astrophysical and space plasmas[J]. Reviews of Modern Physics, 2004, 76(4):1015.

CHO J, VISHNIAC E T. The anisotropy of magnetohydrodynamic Alfvénic turbulence[J]. The Astrophysical Journal, 2000, 539(1):273.

CHEN C H K, MALLET A, SCHEKOCHIHIN A A, et al. Three-dimensional structure of solar wind turbulence[J]. The Astrophysical Journal, 2012, 758(2):120.

CHEN C H K, MALLET A, YOUSEF T A, et al. Anisotropy of Alfvénic turbulence in the solar wind and numerical simulations[J]. Monthly Notices of the Royal Astronomical Society, 2011, 415(4):3219-3226.

BERESNYAK A. Basic properties of magnetohydrodynamic turbulence in inertial range[J]. Monthly Notices of the Royal Astronomical Society, 2012, 422(4):3495-3502.

VERDINI A, GRAPPIN R, HELLINGER P, et al. Anisotropy of third-order structure functions in MHD turbulence[J]. The Astrophysical Journal, 2015, 804(2):119.

WANG J C, SHI Y P, WANG L P, et al. Scaling and statistics in three-dimensional compressible turbulence[J]. Physical Review Letters, 2012, 108:214505.

MYONG R S, ROE P L. Shock waves and rarefaction waves in magnetohydrodynamics. Part 2. The MHD system[J]. Jourmal of Plasma Physics, 1997, 58(3):521-552.

胡文瑞.宇宙磁流体力学[M].北京:科学出版社, 1987.

YANG Y, SHI Y P, WAN M P, et al. Energy cascade and its locality in compressible magnetohydrodynamic turbulence[J]. Physical Review E, 2016, 93:061102(R).

CELANI A, LANOTTE A, MAZZINO A, et al. Fronts in passive scalar turbulence[J]. Physics of Fluids, 2001, 13(6):1768-1783.

BENZI R, BIFERALE L, FISHER R T, et al. Intermittency and universality in fully developed inviscid and weakly compressible turbulent flows[J]. Physical Review Letters, 2008, 100(23):234503.

VOROBEV A, ZIKANOV O, DAVIDSON P A, et al. Anisotropy of magnetohydrodynamic turbulence at low magnetic Reynolds number[J]. Physics of Fluids, 2005, 17:125105.

ZHAI X M, YEUNG P K. Evolution of anisotropy in direct numerical simulations of MHD turbulence in a strong magnetic field on elongated periodic domains[J]. Physical Review Fluids, 2018, 3:084602.

BURATTINI P, KINET M, CARATI D, et al. Anisotropy of velocity spectra in quasistatic magnetohydrodynamic turbulence[J]. Physics of Fluids, 2008, 20:065110.

BAKER N T, POTHERAT A, DAVOUST L, et al, Inverse and direct cascades in three-dimensional magnetohydrodynamic turbulence at low magnetic Reynolds number[J]. Physical Review Letters, 2018, 120:224502.

KNAEPEN B, MOREAU R. Magnetohydrodynamic turbulence at low magnetic Reynolds number[J]. Annual Review of Fluid Mechanics, 2008, 40:25-45.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Multi-scale analyses of compressible turbulence

Dynamic ablation morphology measurement of thermal protection materials using structured light vision

Noise prediction and reduction methods for LAGOON landing gear based on Lattice Boltzmann method

Numerical and experimental study on aerodynamic design for the rear wing of an electric sports car

Numerical simulation on gust responses of high aspect ratio aircraft

Related Author

CHEN Shiyi

WANG Jianchun

ZHENG Qinmin

WANG Xiaoning

TENG Jian

WAN Minping

Related Institution

No data

AI问答

⁰