Coupling of mean-field equation and shell model of turbulence in the context of galactic dynamo problem

Authors

  • Rodion Alexandrovich Stepanov Institute of Continuous Media Mechanics RAS
  • Petr Gotlobovich Frick Institute of Continuous Media Mechanics RAS
  • Dmitriy Dmitrievich Sokoloff Moscow State University

DOI:

https://doi.org/10.7242/1999-6691/2008.1.4.43

Keywords:

Abstract

A model of the galactic dynamo has been proposed. It includes the equation of large-scale magnetic field induction written in terms of alpha-omega dynamo approximation and the shell model of magnetohydrodynamic turbulence, which allows evaluation of the turbulent transfer coefficients entering in the mean field equation. Although both models have been studied extensively, their simultaneous usage poses new questions concerning a correct description of the interaction between large-scale and small-scale fields. In this work coupling of the models has been made with the observance of all laws of conservation of the of the ideal magnetic hydrodynamics. As an example, several numerical simulations of the magnetic field dynamics have been carried out and the role of separate mechanisms of the large-scale field -turbulence interaction has been shown.

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References

Frik P.G., Sokolov D.D. Model’ mnogomasstabnogo MGD-dinamo // Astronomiceskij zurnal. - 2002. - T. 47, No 6. - S. 511-516.
Frik P.G. Turbulentnost’: podhody i modeli. - Moskva-Izevsk: IKI, 2003. - 292s.
Frick P., Sokoloff D., Stepanov R. Large-small scales interactions and quenching in 2a -dynamo // Phys. Rev. E. - 2006. - V. 74. - P. 066310. DOI
Ruzmajkin A.A., Sokolov D.D., Sukurov A.M. Magnitnye pola galaktik. - M.: Nauka, 1988. - 280s.
Pouquet, A.; Frisch, U.; Leorat, J. Strong MHD helical turbulence and the nonlinear dynamo effect // Journal of Fluid Mechanic. - 1976. - V. 77. - P. 321-354 DOI
Steenbeck M., Krause F., Radler K.-H. The generation of stellar and planetary magnetic field by turbulent dynamo action // Z. Naturfoschung. - 1966. - V. A21. - P. 369.
Frick P., Sokoloff D. Cascade and dynamo action in a shell model of magnetohydrodynamic turbulence // Phys. Rev. E. - 1998. - V. 57. - P. 4155. DOI
Frisch U., She Z.S., Sulem P.L. Large-scale flow driven by the anisotropic kinetic alpha effect // Physica D. - 1987. - V. 28. - P. 382-392. DOI
Antonov T.U., Frik P.G., Sokolov D.D. Dolgovremennaa evolucia svobodno raspadausejsa MGD-turbulentnosti // Doklady RAN. - 2001. - T. 377, No 2. - C.170-172.
Zel’dovic A.B., Ruzmajkin A.A., Sokolov D.D. Magnitny pola v astrofizike. - Moskva-Izevsk: IKI, 2006. - S. 384.
Kuznecov V.V. Pricina uskorenia drejfa severnogo magnitnogo polusa: dzerk ili inversia // Geomagnetizm i aeronomia. - 2006. - T. 46, No 2. - C. 280-288.

Published

2008-04-01

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Section

Articles

How to Cite

Stepanov, R. A., Frick, P. G., & Sokoloff, D. D. (2008). Coupling of mean-field equation and shell model of turbulence in the context of galactic dynamo problem. Computational Continuum Mechanics, 1(4), 97-108. https://doi.org/10.7242/1999-6691/2008.1.4.43