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Comparative study of dissipation modeling in two-dimensional MHD turbulence

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Abstract

We propose in this paper a comparison of methods to parametrize the dissipative small scales in numerical simulation of MHD turbulent flow. These methods are tested against direct numerical integration of the MHD equations, in the case of homogeneous incompressible turbulence. Their efficiency to reproduce the main energetic quantities together with the geometry of the flow is discussed.

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References

  • Basdevant, C., Legras, B., Sadourny, R., and Béland, M. (1981). A study of barotropic model flows: intermittency waves and predictability. J. Atmos. Sci., 38, 2305.

    Google Scholar 

  • Frisch, U., Pouquet, A., Sulem, P.L., and Meneguzzi, M. (1983). The dynamics of two-dimensional ideal MHD. J. Méc. Théor. Appl., 2D, 191.

    Google Scholar 

  • Grappin, R., Pouquet, A., and Léorat, J. (1983). Dependence of MHD turbulence spectra on the velocity-field-magnetic-field correlation. Astronom. and Astrophys., 126, 51.

    Google Scholar 

  • Iroshnikov, P.S. (1963). Astronom. J. SSSR, 40, 742; Turbulence of a conducting fluid in a strong magnetic field. Soviet Astronom., 7, 566.

    Google Scholar 

  • Kraichnan, R.H. (1965). Preliminary calculation of the Kolmogorov turbulence spectrum. Phys. Fluids, 8, 995.

    Google Scholar 

  • McWilliams, J.C. (1984). The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech., 146, 21.

    Google Scholar 

  • Meneguzzi, M., Frisch, U., and Pouquet, A. (1981). Helical and nonhelical turbulent dynamos. Phys. Rev. Lett., 47, 1060.

    Google Scholar 

  • Moeng, C.H., and Wyngaard, J.C. (1989). Evaluation of one-point methods in convective flows. Preprinet, NCAR.

  • Passot, T., and Pouquet, A. (1988). Hyperviscosity for compressible flows using spectral methods. J. Comput. Phys., 75, 300.

    Google Scholar 

  • Politano, H., Pouquet, A., and Sulem, P.L. (1989). Inertial ranges and resisitive instabilities in two-dimensional MHD turbulence. Phys. Fluids B, 1, 2330.

    Google Scholar 

  • Smagorinsky, J. (1963). General circulation experiments with the primitive equations. I. The basic experiment. Monthly Weather Rev., 91, 99.

    Google Scholar 

  • Yoshizawa, J. (1987). Subgrid modeling for magnetohydrodynamic turbulent shear flows. Phys. Fluids, 30, 1089.

    Google Scholar 

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Communicated by John Lumley

NCAR is supported through NSF. The Arizona Center for Mathematical Sciences ACMS is thanked for support. ACMS is sponsored by AFOSR Contract F49620-86-0130 with the University Research Initiative Program at the University of Arizona.

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Passot, T., Politano, H., Pouquet, A. et al. Comparative study of dissipation modeling in two-dimensional MHD turbulence. Theoret. Comput. Fluid Dynamics 2, 47–60 (1990). https://doi.org/10.1007/BF00271428

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