Ampère and Hall nonlinearities in the magnetic dynamo in the Arnol’d-Beltrami-Childress (ABC) flow Academic Article uri icon


  • The effect of different nonlinearities (Ampère force and Hall effect) on the saturation of a magnetic field generated by flows of conducting fluid is studied by means of numerical simulations. A three‐fluid (ie, ions, electrons, and neutral particles) model is considered. The velocity field of the neutral particles is a prescribed, deterministic, incompressible three‐ dimensional field in the form of the Arnol'd–Beltrami–Childress (ABC) flow. The dynamics of the charged components of fluid is determined by two‐fluid magnetohydrodynamics when …

publication date

  • November 1, 1995