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

YE Lei (叶磊); XIAO Xiaotao (肖小涛); GUO Wenfeng (郭文峰); WANG Shaojie (王少杰)

doi:10.1088/1009-0630/17/4/04

Plasma Science and Technology > 2015 > 17(4): 280-287. > DOI: 10.1088/1009-0630/17/4/04

YE Lei (叶磊), XIAO Xiaotao (肖小涛), GUO Wenfeng (郭文峰), WANG Shaojie (王少杰). High-Precision Nonsingular Integrator of Guiding-Center Orbit Close to Magnetic Axis in Tokamak Equilibrium Configuration[J]. Plasma Science and Technology, 2015, 17(4): 280-287. DOI: 10.1088/1009-0630/17/4/04

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

1 Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China 2 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

Funds: supported by National Natural Science Foundation of China (Nos. 11175178, 11375196, 11105175 and 11105185) and the National Magnetic Confinement Fusion Science Program of China (No. 2014GB113000)

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Received Date: July 13, 2014

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Abstract

Abstract

Equations of guiding-center motion without the coordinate singularity at the mag- netic 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 check- ing 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 non- singular coordinates can be greatly improved and is comparable to that of canonical variables in long-time simulations.
- guiding-center orbit,
- magnetic axis,
- nonsingular coordinates

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