Wavelet-based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence

Physics of Plasmas

Volumn 16, Issue 8, 2009, Pages

  Yoshimatsu, Katsunori ^a   Kondo, Yuji ^a   Schneider, Kai ^b   Okamoto, Naoya ^a   Hagiwara, Hiroyuki ^a   Farge, Marie ^c  

^a NAGOYA UNIVERSITY   (Japan)

^b AIX MARSEILLE UNIVERSITÉ   (France)

^c LABORATOIRE DE MÉTÉOROLOGIE DYNAMIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT FIELDS; CURRENT SHEETS; DEGREES OF FREEDOM; ENERGY FLUXES; EQUIPARTITION OF ENERGY; FOURIER; MAGNETIC ENERGIES; MAGNETOHYDRODYNAMIC TURBULENCE; MEAN MAGNETIC FIELD; MHD TURBULENCE; NON-LINEAR DYNAMICS; ORTHOGONAL WAVELETS; SPECTRAL DISTRIBUTION; SPECTRAL METHODS; THRESHOLDING; WAVELET COEFFICIENTS;

CURRENT DENSITY; DISTRIBUTION FUNCTIONS; FLUID DYNAMICS; INTERNET PROTOCOLS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; SPECTROSCOPY; THREE DIMENSIONAL; TURBULENCE; WAVELET DECOMPOSITION;

VORTICITY;

EID: 69849101963     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3195066     Document Type: Article

References (40)

1. A. Pouquet and G. S. Patterson, J. Fluid Mech. 0022-1120 85, 305 (1978). 10.1017/S0022112078000658
2. H. Politano, A. Pouquet, and P. L. Sulem, Phys. Plasmas 1070-664X 2, 2931 (1995). 10.1063/1.871473
3. D. Biskamp and W. -C. Müller, Phys. Plasmas 1070-664X 7, 4889 (2000). 10.1063/1.1322562
4. P. D. Mininni, A. G. Pouquet, and D. C. Montgomery, Phys. Rev. Lett. 0031-9007 97, 244503 (2006). 10.1103/PhysRevLett.97.244503 (Pubitemid 44927262)
5. B. Bigot, S. Galtier, and H. Politano, Phys. Rev. E 1063-651X 78, 066301 (2008). 10.1103/PhysRevE.78.066301
6. E. D. Siggia, J. Fluid Mech. 0022-1120 107, 375 (1981). 10.1017/S002211208100181X
7. A. Vincent and M. Meneguzzi, J. Fluid Mech. 0022-1120 225, 1 (1991). 10.1017/S0022112091001957
8. J. Jiḿnez, A. A. Wray, P. G. Saffman, and R. S. Rogallo, J. Fluid Mech. 0022-1120 255, 65 (1993). 10.1017/S0022112093002393
9. T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, J. Fluid Mech. 0022-1120 592, 335 (2007). 10.1017/S0022112007008531 (Pubitemid 350154132)
10. G. K. Batchelor and A. A. Townsend, Proc. R. Soc. London, Ser. A 0950-1207 199, 238 (1949). 10.1098/rspa.1949.0136
11. M. Farge, Annu. Rev. Fluid Mech. 0066-4189 24, 395 (1992). 10.1146/annurev.fl.24.010192.002143
12. M. Farge, N. K.-R. Kevlahan, V. Perrier, and K. Schneider, in Wavelets in Physics, edited by, J. C. van den Berg, (Cambridge University Press, Cambridge, 1999), pp. 117-200.
13. M. Farge and K. Schneider, in New Trends in Turbulence, Les Houches 2000 Vol. 74, edited by, M. Lesieur, A. Yaglom, and, F. David, (Springer, New York, 2002), pp. 449-503.
14. M. Farge and K. Schneider, in Encyclopedia of Mathematical Physics, edited by, J. P. Fraņoise, G. Naber, and, T. S. Tsun, (Elsevier, Amsterdam, 2006), pp. 408-420.
15. N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge, and Y. Kaneda, Phys. Fluids 1070-6631 19, 115109 (2007). 10.1063/1.2771661 (Pubitemid 350226430)
16. K. Yoshimatsu and N. Okamoto, J. Turbul. 1468-5248 9, 45 (2008). 10.1080/14685240802577861
17. K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda, and M. Farge, Phys. Rev. E 1063-651X 79, 026303 (2009). 10.1103/PhysRevE.79.026303
18. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, Phys. Fluids 1070-6631 15, L21 (2003). 10.1063/1.1539855 (Pubitemid 36280998)
19. M. Farge, K. Schneider, and N. Kevlahan, Phys. Fluids 1070-6631 11, 2187 (1999). 10.1063/1.870080
20. M. Farge, G. Pellegrino, and K. Schneider, Phys. Rev. Lett. 0031-9007 87, 054501 (2001). 10.1103/PhysRevLett.87.054501
21. M. Farge, K. Schneider, G. Pellegrino, A. A. Wray, and R. S. Rogallo, Phys. Fluids 1070-6631 15, 2886 (2003). 10.1063/1.1599857 (Pubitemid 37358684)
22. D. Donoho and I. Johnstone, Biometrika 0006-3444 81, 425 (1994). 10.1093/biomet/81.3.425
23. W. J. T. Bos, S. Futatani, S. Benkadda, M. Farge, and K. Schneider, Phys. Plasmas 1070-664X 15, 072305 (2008). 10.1063/1.2956640
24. M. Farge, K. Schneider, and P. Devynck, Phys. Plasmas 1070-664X 13, 042304 (2006). 10.1063/1.2172350
25. M. Farge and K. Schneider, Flow Turbul. Combust. 66, 393 (2001). 10.1023/A:1013512726409 1386-6184 (Pubitemid 34130107)
26. K. Schneider, M. Farge, A. Azzalini, and J. Ziuber, J. Turbul. 1468-5248 7, 44 (2006).
27. K. Schneider, M. Farge, G. Pellegrino, and M. Rogers, J. Fluid Mech. 0022-1120 534, 39 (2005). 10.1017/S0022112005004234 (Pubitemid 40990513)
28. S. Mallat, A Wavelet Tour of Signal Processing (Academic, New York, 1998).
29. A. Azzalini, M. Farge, and K. Schneider, Appl. Comput. Harmon. Anal. 1063-5203 18, 177 (2005). 10.1016/j.acha.2004.10.001 (Pubitemid 40244956)
30. O. Roussel, K. Schneider, and M. Farge, J. Turbul. 6, 11 (2005). 10.1080/14685240500149831 (Pubitemid 41748017)
31. K. Yoshida and T. Arimitsu, Phys. Fluids 1070-6631 19, 045106 (2007). 10.1063/1.2717687 (Pubitemid 46705903)
32. P. S. Iroshnikov, Sov. Astron. 0038-5301 7, 566 (1964).
33. R. H. Kraichnan, Phys. Fluids 8, 1385 (1965). 10.1063/1.1761412
34. P. D. Mininni and A. Pouquet, Phys. Rev. Lett. 0031-9007 99, 254502 (2007). 10.1103/PhysRevLett.99.254502
35. C. Meneveau, J. Fluid Mech. 0022-1120 232, 469 (1991). 10.1017/S0022112091003786
36. K. Schneider, M. Farge, and N. Kevlahan, in Woods Hole Mathematics, Perspectives in Mathematics and Physics, edited by, N. Tongring, and, R. C. Penner, (World Scientific, Singapore, 2004), Vol. 34, pp. 302-328.
37. J. Cho, A. Lazarian, and E. T. Vishniac, Astrophys. J. 0004-637X 595, 812 (2003). 10.1086/377515 (Pubitemid 37316504)
38. N. E. Haugen, A. Brandenburg, and W. Dobler, Phys. Rev. E 1063-651X 70, 016308 (2004). 10.1103/PhysRevE.70.016308
39. D. Rosenberg, A. Fournier, P. Fischer, and A. Pouquet, J. Comput. Phys. 0021-9991 215, 59 (2006). 10.1016/j.jcp.2005.10.031
40. D. Rosenberg, A. Pouquet, and P. D. Mininni, New J. Phys. 1367-2630 9, 304 (2007). 10.1088/1367-2630/9/8/304 (Pubitemid 47370962)