Low Beta MHD Equilibrium Including a Static Magnetic Island for Reduced MHD Equations in a Straight Heliotron Configuration

DOI Web Site 8 References
  • SAITO Kinya
    The Graduate University for Advanced Studies
  • ICHIGUCHI Katsuji
    The Graduate University for Advanced Studies National Institute for Fusion Science
  • ISHIZAKI Ryuichi
    The Graduate University for Advanced Studies National Institute for Fusion Science

Abstract

Low beta MHD equilibria including static magnetic islands generated by an external field are studied by using a two-step approach. The equilibria correspond to the reduced MHD equations in a straight heliotron configuration. In the first step, a diffusion equation parallel to the field line is solved with the magnetic field fixed for a solution of the pressure constant along field lines. In the second step, the equilibrium equation corresponding to the vorticity equation is solved with the pressure fixed for a solution of the poloidal magnetic flux. The two steps are iterated until the width of the island is converged. The equilibrium pressure profile as a result of the method is locally flat at both the O-point and the X-point of the magnetic island. Effects of a pressure diffusion perpendicular to the field are also studied. In this case, an equilibrium pressure of which the profile is flat at the O-point and steep at the X-point is obtained.

Journal

  • Plasma and Fusion Research

    Plasma and Fusion Research 7 (0), 1403070-1403070, 2012

    The Japan Society of Plasma Science and Nuclear Fusion Research

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