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Original Articles

A numerical investigation of magnetic field generation in a flow with chaotic streamlines

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Pages 13-18 | Received 06 Mar 1984, Published online: 24 Feb 2007

References

  • Arnold , V. I. 1965 . “Sur la topologie des écoulements stationnaires des fluides parfaits” . Comptes Rendus , 261 : 17 – 20 .
  • Arnold , V. I. and Korkina , E. I. 1983 . “The growth of a magnetic field in a three-dimensional steady incompressible flow” , Vest. Mosk. Un. Ta. Ser 1 Matematika Mecanika 43 – 46 . 3 in Russian
  • Arnold , V. I. , Zel'dovich , Ya. B. , Ruzmaikin , A. A. and Sokolov , D. D. 1981 . “A magnetic field in a stationary flow with stretching in Riemannian space” . Zh. Ehsp. Teor. Fyz. , 81 : 2052 – 2058 .
  • 1981 . Soviet Phys. JETP , 54 : 1083 – 1086 .
  • Brachet , M. E. , Meiron , D. I. , Orszag , S. A. , Nickel , B. G. , Morf , R. H. and Frisch , U. 1983 . “Small-scale structure of the Taylor-Green vortex” . J. Fluid Mech. , 130 : 411 – 452 .
  • Childress , S. 1970 . “New solutions of the kinematic dynamo problem” . J. Math. Phys. , 11 : 3063 – 3076 .
  • Hénon , M. 1966 . “Sur la topologie des lignes de courant dans un cas particulier” . Comptes Rendus , 262 : 312 – 314 .
  • Meneguzzi , M. , Frisch , U. and Pouquet , A. 1981 . “Helical and non-helical turbulent dynamos” . Phys. Rev. Lett. , 47 : 1060 – 1064 .
  • Moffatt , H. K. 1978 . “Generation of magnetic fields in electrically conducting fluids” , Cambridge University Press .
  • Roberts , G. O. 1970 . “Spatially periodic dynamos” . Philos. Trans. R. Soc. A , 266 : 535 – 558 .
  • Roberts , K. V. and Weiss , N. O. 1966 . “Convective difference schemes” . Math. Comp. , 20 : 272 – 299 .

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