Helical shell models for MHD

Theoretical and Computational Fluid Dynamics

Volumn 23, Issue 6, 2009, Pages 439-450

  Lessinnes, T ^a   Plunian, F ^b   Carati, D ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITÉ GRENOBLE ALPES   (France)

Author keywords

Dynamo; Helicity; MHD; Shell model; Turbulence modelling

Indexed keywords

COUPLING CONSTANTS; GLOBAL PROPERTIES; HELICAL MODES; HELICITIES; MHD EQUATIONS; MHD TURBULENCE; SHELL MODELS; TURBULENCE MODELLING;

DYNAMICAL SYSTEMS; ELECTRIC GENERATORS; INTERACTIVE DEVICES; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; TURBULENCE;

SHELLS (STRUCTURES);

MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; MAGNETOSPHERE; NUMERICAL MODEL; TURBULENCE;

EID: 71149098322     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-009-0165-y     Document Type: Article

References (22)

1. Frisch U.: Turbulence: The Legacy of A.N. Kolmogorov. Cambridge University Press, Cambridge (1995)
2. E.B. Gletzer 1973 System of hydrodynamic type admitting two quadratic integrals of motion Sov. Phys. Dokl. 18 216 217
3. E.N. Lorenz 1972 Low order models representing realizations of turbulence J. Fluid Mech. 55 545 563 0255.76060 10.1017/S0022112072002009
4. M. Yamada K. Ohkitani 1987 Lyapounov spectrum of a chaotic model of three-dimensional turbulence J. Phys. Soc. Jpn. 56 4210 4213 10.1143/JPSJ.56.4210
5. V.S. L'vov E. Podivilov A. Pomyalov I. Procaccia D. Vandembroucq 1998 Improved shell model of turbulence Phys. Rev. E 58 1811 1822 10.1103/PhysRevE.58.1811 1637121
6. V.S. L'vov E. Podivilov I. Procaccia 1999 Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent Europhys. Lett. 46 609 612 10.1209/epl/i1999-00307-8
7. C. Gloaguen J. Léorat A. Pouquet R. Grappin 1985 A scalar model for MHD turbulence Physica D 17 154 182 0577.76109 10.1016/0167-2789(85)90002-8 815281
8. P. Frick S. Sokoloff 1998 Cascade and dynamo action in a shell model of magnetohydrodynamic turbulence Phys. Rev. E 57 4155 4164 10.1103/PhysRevE.57. 4155 1618962
9. Stepanov R., Plunian F.: Fully developed turbulent dynamo at low magnetic prandtl numbers. J. Turbul. 7(39), (2006)
10. Lessinnes, T., Verma, M., Carati, D.: Energy transfers in shell models of magnetohydrodynamic turbulence. Phys. Rev. E arxiv:0807.5076 (2008)
11. R. Stepanov F. Plunian 2008 Phenomenology of turbulent dynamo growth and saturation Astrophys. J. 680 809 815 10.1086/587795
12. R. Benzi L. Biferale R.M. Kerr E. Trovatore 1996 Helical shell models for three-dimensional turbulence Phys. Rev. E 53 3541 3550 10.1103/PhysRevE.53.3541
13. F. Waleffe 1992 The nature of triad interactions in homogeneous turbulence Phys. Fluids A 4 350 363 0745.76027 10.1063/1.858309 1146136
14. Lessinnes, T., Carati, D.: Helical shell models for MHD turbulence. In: Proceeding of the 7th Int. PAMIR Conf. vol. 2, pp. 513-524 (2008)
15. Lessinnes, T., Carati, D.: Helical shell models for MHD turbulence. Magnetohydrodynamics 45(2), 193-202 (2009)
16. F. Plunian R. Stepanov 2007 A non-local shell model of hydrodynamic and magnetohydrodynamic turbulence New J. Phys. 9 294 319 10.1088/1367-2630/9/8/294 (Pubitemid 47366922)
17. J.L. Ottinger D. Carati 1993 Shell models for plasma turbulence Phys. Rev. E 48 2955 2965 10.1103/PhysRevE.48.2955
18. P. Giuliani V. Carbone 1998 A note on shell models for mhd turbulence Europhys. Lett. 43 5 527 532 10.1209/epl/i1998-00386-y
19. A. Gailitis O. Lielausis E. Platacis S. Dement'ev A. Cifersons G. Gerbeth T. Gundrum F. Stefani M. Christen H. Hänel G. Will 2000 Detection of a flow induced magnetic field eigenmode in the riga dynamo facility Phys. Rev. Lett. 84 4365 4368 10.1103/PhysRevLett.84.4365
20. A. Gailitis O. Lielausis S. Dement'ev E. Platacis A. Cifersons G. Gerbeth T. Gundrum F. Stefani M. Christen G. Will 2001 Detection of a flow induced magnetic field eigenmode in the riga dynamo facility Phys. Rev. Lett. 88 3024 3027 10.1103/PhysRevLett.86.3024 (Pubitemid 32317858)
21. U. Müller R. Stieglitz 2002 The Karlsruhe dynamo experiment Nonlinear Process. Geophys. 9 165 170
22. R. Benzi S. Ciliberto R. Tripiccione C. Baudet F. Massoaioli S. Succi 1993 Extended self-similarity in turbulent flows Phys. Rev. E 48 1 R29 R32 10.1103/PhysRevE.48.R29