Geodesic
Directional and scale-dependent statistics of quasi-static magnetohydrodynamic turbulence
Naoya Okamoto1 ; Katsunori Yoshimatsu2 ; Kai Schneider3 ; Marie Farge4
1 Center for Computational Science, Nagoya University, Nagoya, 464–8603, Japan
2 Department of Computational Science and Engineering, Nagoya University, Nagoya, 464–8603, Japan
3 M2P2–CNRS & CMI Aix-Marseille University, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France
4 LMD–IPSL–CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
ESAIM. Proceedings, Tome 32 (2011), pp. 95-102.

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Anisotropy and intermittency of quasi-static magnetohydrodynamic (MHD) turbulence in an imposed magnetic field are examined, using three-dimensional orthonormal wavelet analysis. Wavelets are an efficient tool to examine directional scale-dependent statistics, since they are based on well-localized functions in space, scale and direction. The analysis is applied to two turbulent MHD flows computed by direct numerical simulation with 5123 grid points and with different intensities of the imposed magnetic field. It is found that the imposed magnetic field plays an important role on the amplification of anisotropy and intermittency of the flow.
DOI : 10.1051/proc/2011014

Naoya Okamoto 1 ; Katsunori Yoshimatsu 2 ; Kai Schneider 3 ; Marie Farge 4

1 Center for Computational Science, Nagoya University, Nagoya, 464–8603, Japan
2 Department of Computational Science and Engineering, Nagoya University, Nagoya, 464–8603, Japan
3 M2P2–CNRS & CMI Aix-Marseille University, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France
4 LMD–IPSL–CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France 
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     title = {Directional and scale-dependent statistics of quasi-static magnetohydrodynamic turbulence},
     journal = {ESAIM. Proceedings},
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Naoya Okamoto; Katsunori Yoshimatsu; Kai Schneider; Marie Farge. Directional and scale-dependent statistics of quasi-static magnetohydrodynamic turbulence. ESAIM. Proceedings, Tome 32 (2011), pp. 95-102. doi : 10.1051/proc/2011014. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011014/

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