New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:243

Article

Landreman, Matt¹  Ernst, Darin R.¹ 

[1] MIT, Plasma Sci & Fus Ctr, Cambridge, MA 02139 USA

关键词: Orthogonal polynomials;    Kinetic;    Fokker-Planck;    Velocity space;    Phase space;    Plasma;   

DOI  :  10.1016/j.jcp.2013.02.041

来源: Elsevier

【 摘 要 】

Numerical techniques for discretization of velocity space in continuum kinetic calculations are described. An efficient spectral collocation method is developed for the speed coordinate - the radius in velocity space - employing a novel set of non-classical orthogonal polynomials. For problems in which Fokker-Planck collisions are included, a common situation in plasma physics, a procedure is detailed to accurately and efficiently treat the field term in the collision operator (in the absence of gyrokinetic corrections). When species with disparate masses are included simultaneously, a careful extrapolation of the Rosenbluth potentials is performed. The techniques are demonstrated in several applications, including neoclassical calculations of the bootstrap current and plasma flows in a tokamak. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free