An approximate factorization procedure for solving nine-point elliptic difference equations Application for a fast 2-D relativistic Fokker-Planck solver

Abstract A full implicit numerical procedure based on the use of a mine-point difference operator is presented to solve the two-dimensional (2-D) relativistic Fokker-Planck equation for the current drive problem and synergetic effects between the lower hybrid and the electron cyclotron waves in tokamaks. As compared to the standard approach based on the use of a five-point difference operator (M. Shoucri, I. Shkarofsky, Comput. Phys. Commun. 82 (1994) 287), the convergence rate towards the steady stat... Title of program: FP2DLHEC Catalogue Id: ADHO_v1_0 Nature of problem A new fast solver of the 2-D linearized relativistic Fokker-Planck equation based on the use of a full implicit numerical scheme is presented for the current drive problem and synergetic effects between the lower hybrid and electron cyclotron waves. The code makes use of the accurate relativistic collision operators presented in Ref. [1]. Convergence rate for the steady state current drive solution may be strongly enhanced as compared to partial implicit procedures used in Ref. [2], without loss ... Versions of this program held in the CPC repository in Mendeley Data ADHO_v1_0; FP2DLHEC; 10.1016/S0010-4655(97)00143-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)