All Papers - UKAEA Scientific Publications

Showing 1 - 3 of 3 UKAEA Paper Results

UKAEA-CCFE-PR(26)4132025

"Multiple solutions to the static forward free-boundary Grad-Shafranov problem on MAST-U"
The Grad–Shafranov (GS) equation is a nonlinear elliptic partial differential equation that governs the ideal magnetohydrodynamic equilibrium of a tokamak plasma. Previous studies have demonstrated the existence of multiple solutions to the GS equation when solved in idealistic geometries with simplified plasma current density profiles and bounda…
- Published
UKAEA-CCFE-PR(25)3452024

"A higher-order finite-element implementation of the exact Landau Fokker–Planck collision operator for charged particle collisions in a low density plasma"
Collisions between particles in a low density plasma are described by the Fokker–Planck collision operator. In applications, this nonlinear integro-differential operator is often approximated by linearised or ad-hoc model operators due to computational cost and complexity. In this work, we present an implementation of the nonlinea…
- Published
UKAEA-CCFE-PR(23)1692023

"On multiple solutions of the Grad–Shafranov equation"
- C J Ham
- P E Farrell
The Grad–Shafranov equation for axisymmetric MHD equilibria is a nonlinear, scalar PDE which in principle can have zero, one or more non-trivial solutions. The conditions for the existence of multiple solutions has been little explored in the literature so far. We develop a simple analytic model to calculate multiple solutions in the large asp…
- Preprint
- Published

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