High-Precision Nonsingular Integrator of Guiding-Center Orbit Close to Magnetic Axis in Tokamak Equilibrium Configuration

摘要

Equations of guiding-center motion without the coordinate singularity at the magnetic axis have been derived from the guiding-center Lagrangian. The poloidal magnetic flux is suggested to be included as one of the nonsingular coordinates for the computation of the guiding-center orbit. The numerical results based on different nonsingular coordinates are verified using the GCM code which is based on canonical variables. A comparison of numerical performance among these nonsingular coordinates and canonical coordinates has been carried out by checking the conservation of energy and toroidal canonical momentum. It is found that by using the poloidal magnetic flux in the nonsingular coordinate system, the numerical performance of nonsingular coordinates can be greatly improved and is comparable to that of canonical variables in long-time simulations.