Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-20T08:41:57.072Z Has data issue: false hasContentIssue false
  • English
  • Français

Small-scale structure of two-dimensional magnetohydrodynamic turbulence

Published online by Cambridge University Press:  19 April 2006

Steven A. Orszag  and
Cha-Mei Tang
Steven A. Orszag
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge
Cha-Mei Tang
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge Present address: Jaycor, Alexandria, Virginia.
Get access Rights & Permissions [Opens in a new window]

Abstract

The formation of singularities in two-dimensional magnetohydrodynamic flow is investigated by direct numerical simulation. It is shown that two-dimensional magnetohydrodynamic turbulence is not as singular as three-dimensional hydrodynamic turbulence (in the sense that it has a less highly excited small-scale structure) but that it is more singular than two-dimensional hydrodynamic turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 1 , 16 January 1979 , pp. 129 - 143
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fyfe, D., Joyce, G. & Montgomery, D. 1977 J. Plasma Phys. 17, 317.
Fyfe, D. & Montgomery, D. 1976 J. Plasma Phys. 16, 181.
Gottlieb, D. & Orszag, S. A. 1977 Numerical Analysis of Spectral Methods. Philadelphia: SIAM, CBMS—NSF Monograph no. 26.
Herring, J. R., Ohszag, S. A., Kraichnan, R. H. & Fox, D. G. 1974 J. Fluid Mech. 66, 417.
Orszag, S. A. 1976 Design of large hydrodynamics codes. In Computer Science and Scientific. Computing (ed. J. Ortega), p. 191. Academic Press.
Orszag, S. A. 1977 Lectures on the statistical theory of turbulence. In Fluid Dynamics (ed. R. Balian & J. L. Peube), p. 235. Gordon & Breach.
Pouquet, A. 1978 J. Fluid Mech. 88, 1.
Tang, C. M. 1977 Sc.D. thesis, Department of Electrical Engineering, M.I.T., Cambridge.
Weiss, N. O. 1966 Proc. Roy. Soc. A 293, 310.
Wolibner, W. 1933 Math. Z. 37, 668.