Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 6, 2008, Pages

  Lee, E ^a,b   Brachet, M E ^a,c   Pouquet, A ^a   Mininni, P D ^a,d   Rosenberg, D ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b Department of Earth and Environmental Sciences   (United States)

^c ECOLE NORMALE SUPÉRIEURE   (France)

^d UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DATA STORAGE EQUIPMENT; FLUID DYNAMICS; HYDRODYNAMICS; MAGNETIC FIELD EFFECTS; MAGNETIC FIELD MEASUREMENT; MAGNETIC FIELDS; MAGNETIC MATERIALS; SOLAR ENERGY; SOLAR WIND; WIND POWER;

BASIC PROPERTIES; CPU TIMES; CURRENT SHEETS; DYNAMICAL EQUATIONS; ENERGY SPECTRUMS; EXPONENTIAL DECAYS; FAST ROTATIONS; GRID POINTS; GRID RESOLUTIONS; INITIAL CONDITIONS; LOGARITHMIC DECREMENTS; MAGNETIC PRESSURES; MEMORY STORAGES; NEAR COLLISIONS; REGULAR FLOWS; SCALE SEPARATIONS; SPATIAL RESOLUTIONS; SPATIAL SYMMETRIES; TEMPORAL EVOLUTIONS;

MAGNETOHYDRODYNAMICS;

EID: 57549090447     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.066401     Document Type: Article

References (42)

1. Y. Kaneda, Phys. Fluids 15, L21 (2003). 10.1063/1.1539855
2. P. D. Mininni, A. G. Pouquet, and D. C. Montgomery, Phys. Rev. Lett. 97, 244503 (2006); 10.1103/PhysRevLett.97.244503
3. P. D. Mininni and A. Pouquet, Phys. Rev. Lett. 99, 254502 (2007). 10.1103/PhysRevLett.99.254502
4. Y. Kaneda and T. Ishihara, J. Turbul. 7, 20 (2006).
5. C. S. Ng, Astrophys. J., Suppl. Ser. 177, 613 (2008). 10.1086/588139
6. R. Grauer, C. Marliani, and K. Germaschewski, Phys. Rev. Lett. 80, 4177 (1998). 10.1103/PhysRevLett.80.4177
7. R. Grauer and C. Marliani, Phys. Rev. Lett. 84, 4850 (2000). 10.1103/PhysRevLett.84.4850
8. M. Lesieur and O. Métais, Annu. Rev. Fluid Mech. 28, 45 (1996); 10.1146/annurev.fl.28.010196.000401
9. C. Meneveau and J. Katz, Annu. Rev. Fluid Mech. 32, 1 (2000). 10.1146/annurev.fluid.32.1.1
10. P. D. Mininni, D. C. Montgomery, and A. G. Pouquet, Phys. Rev. E 71, 046304 (2005); 10.1103/PhysRevE.71.046304
11. P. D. Mininni, A. Pouquet, and P. Sullivan, " Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactions, " in Computational Methods for the Atmosphere and the Oceans, edited by, R. Temam, and, J. Tribbia, (Elsevier, North-Holland, 2008);
12. M. Giona and S. Cerbelli, Phys. Rev. E 78, 046303 (2008). 10.1103/PhysRevE.78.046303
13. D. D. Holm, J. Fluid Mech. 467, 205 (2002); 10.1017/S002211200200160X
14. D. C. Montgomery and A. Pouquet, Phys. Fluids 14, 3365 (2002); 10.1063/1.1501542
15. P. D. Mininni, D. C. Montgomery, and A. G. Pouquet, Phys. Fluids 17, 035112 (2005); 10.1063/1.1863260
16. Y. Ponty, P. D. Mininni, D. C. Montgomery, J. F. Pinton, H. Politano, and A. Pouquet, Phys. Rev. Lett. 94, 164502 (2005). 10.1103/PhysRevLett.94.164502
17. M. E. Brachet, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 311, 775 (1990).
18. M. E. Brachet, Fluid Dyn. Res. 8, 1 (1991). 10.1016/0169-5983(91)90026-F
19. S. Kida, J. Phys. Soc. Jpn. 54, 2132 (1985). 10.1143/JPSJ.54.2132
20. C. Cichowlas and M. E. Brachet, Fluid Dyn. Res. 36, 239 (2005). 10.1016/j.fluiddyn.2004.09.005
21. C. Nore, Phys. Plasmas 4, 1 (1997). 10.1063/1.872578
22. S. Kida, S. Yanase, and J. Mizushima, Phys. Fluids A 3, 457 (1991). 10.1063/1.858102
23. M. Bourgoin, Phys. Fluids 14, 3046 (2002). 10.1063/1.1497376
24. G. I. Taylor and A. E. Green, Proc. R. Soc. London, Ser. A 158, 499 (1937). 10.1098/rspa.1937.0036
25. R. H. Morf, S. A. Orszag, and U. Frisch, Phys. Rev. Lett. 44, 572 (1980). 10.1103/PhysRevLett.44.572
26. M. E. Brachet, J. Fluid Mech. 130, 411 (1983). 10.1017/S0022112083001159
27. R. B. Pelz, V. Yakhot, S. A. Orszag, L. Shtilman, and E. Levich, Phys. Rev. Lett. 54, 2505 (1985). 10.1103/PhysRevLett.54.2505
28. C. Cichowlas, P. Bonaiti, F. Debbasch, and M. Brachet, Phys. Rev. Lett. 95, 264502 (2005). 10.1103/PhysRevLett.95.264502
29. U. Frisch, J. Fluid Mech. 68, 769 (1975). 10.1017/S002211207500122X
30. J. Beale, T. Kato, and A. Majda, Commun. Math. Phys. 94, 61 (1984). 10.1007/BF01212349
31. I. Klapper, A. Rado, and M. Tabor, Phys. Plasmas 3, 4281 (1996). 10.1063/1.871559
32. R. E. Caflisch, I. Klapper, and G. Steele, Commun. Math. Phys. 184, 443 (1997). 10.1007/s002200050067
33. T. Y. Hou and R. Li, J. Comput. Phys. 226, 379 (2007). 10.1016/j.jcp.2007.04.014
34. M. D. Bustamante and R. M. Kerr, Physica D 237, 1912 (2008). 10.1016/j.physd.2008.02.007
35. U. Frisch, J. Mec. Theor. Appl. 2, 191 (1983).
36. R. M. Kerr and A. Brandenburg, Phys. Rev. Lett. 83, 1155 (1999). 10.1103/PhysRevLett.83.1155
37. C. Sulem, P. L. Sulem, and U. Frisch, J. Comput. Phys. 50, 138 (1983). 10.1016/0021-9991(83)90045-1
38. K. Yoshida and T. Arimitsu, Phys. Fluids 19, 045106 (2007). 10.1063/1.2717687
39. P. Dmitruk, D. O. Gómez, and W. H. Matthaeus, Phys. Plasmas 10, 3584 (2003); 10.1063/1.1602698
40. J. Mason, F. Cattaneo, and S. Boldyrev, Phys. Rev. E 77, 036403 (2008). 10.1103/PhysRevE.77.036403
41. Y. C. Whang, Nonlinear Processes Geophys. 11, 259 (2004).
42. J. Clyne, New J. Phys. 9, 301 (2007). 10.1088/1367-2630/9/8/301