Tokamak equilibria with non field-aligned axisymmetric divergence-free rotational flows

Tsui, K. H.; Navia, C. E.; Serbeto, A.; Shigueoka, H.
July 2011
Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p072502
Academic Journal
Rotational ideal divergence-free magnetohydrodynamic (MHD) equations are expressed in terms of transformed variables wvector *=(μρ)1/2vvector and μp* = (μp + w*2/2), where vvector , p, and ρ are plasma velocity, pressure, and mass density, respectively. With divergence-free flows, ∇·vvector =0, the plasma density ρ does not appear in the MHD equations written in terms of wvector * and μp*. The non field-aligned rotational Grad-Shafranov equation is represented in spherical coordinates. Tokamak-like axisymmetric equilibria with vvector ⊥∇ρ are obtained analytically by solving for torus solutions under only three source functions.


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