Numerical solution of equilibrium equation

• Assume 2-D equilibrium with elliptical magnetic surfaces

  • Adequate for large aspect ratio stellarators (or near the magnetic axis).

• Assume uniform finite temperature

• Solve dimensionless form of the fluid equilibrium equation:

• When |e?/Te| is small (low density, high Te), sD??D since ne?N(?)

• When |e?/Te| is large (high density, low Te) sD<<<?D

• Three parameters determine the equilibrium:
  • s(?) (or some info on ne) , domain size in sD’s, and boundary conditions

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