Computing Beltrami Fields

Tahar Amari (1) , Cédric Boulbe (2) , Tahar Zamène Boulmezaoud (3)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 JAD - Laboratoire Jean Alexandre Dieudonné
3 LMV - Laboratoire de Mathématiques de Versailles

For solving the nonlinear equations governing force-free fields, an iterative methodology based on the splitting of the problem is described. On the basis of this splitting, three families of subproblems have to be solved numerically. The first problem consists to find a potential field. A mixed hybrid method is used to solve it. The second problem, which is a curl-div system, is solved by means of a mixed method. The last problem is a transport equation which is approximated using a streamline diffusion technique. Numerical three-dimensional experiments and results are given to illustrate the efficiency of the method.

Mots clés: force-free fields; Beltrami fields; steady Euler equations; ABC flows

Domaines: Analyse numérique [math.NA]; Physique des plasmas [physics.plasm-ph]

Tahar Amari, Cédric Boulbe, Tahar Zamène Boulmezaoud. Computing Beltrami Fields. SIAM Journal on Scientific Computing, 2009, 31 (5), pp. 3217-3254. ⟨hal-00414389⟩