Abstract Details
Abstracts
Author: Nikolai Gorelenkov
Requested Type: Poster
Submitted: 2024-04-12 14:54:01
Co-authors: L.E Zakharov
Contact Info:
PPPL, Princeton University
POBox 451
Princeton, New Jersey 08543
USA
Abstract Text:
We present a formulation and accompanying code HPE (standing for Hot Particle Equilibrium) of the tokamak plasma equilibrium problem that incorporates toroidal flow, fast ion (or energetic particle, EP) pressure anisotropy, and finite drift orbit width (FOW) effects (N.~N.~Gorelenkov and L.~E.~Zakharov, 2018). This formulation utilizes the standard Grad-Shafranov equation (GShE), augmented by a solvability condition that imposes physical constraints on permissible spatial dependencies of the anisotropic pressure.
The GShE problem is addressed using the pressure coupling scheme, incorporating dominant diagonal terms and non-diagonal corrections to the standard pressure tensor. The anisotropic tensor elements are derived from the distribution function, represented in a factorized form in the constants of motion variables. Analytical estimates of the effects on plasma equilibrium are provided where feasible, offering insights into their significance for the GShE tokamak plasma problem.
The novelty of our approach lies in the incorporation of FOW into the GShE through the non-diagonal pressure tensor, the factorized representation of the fast ion distribution function, and the prescription of the spatial dependence of $P_{perp}$ given the spatial dependence of $P_{|}$. We explore two cases of EP distribution functions, encompassing beam ions and fusion alpha particles.
Comments:
Please place it in the Plasma equilibrium, stability, and transport section.