Journal of Computational Physics
Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
A control volume method to solve an elliptic equation on a two-dimensional irregular mesh
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
Journal of Computational Physics
An implicit energy-conservative 2D Fokker-Planck algorithm: I. difference scheme
Journal of Computational Physics
An implicit energy-conservative 2D Fokker-Planck algorithm: II. Jacobian-free Newton—Krylov solver
Journal of Computational Physics
Hi-index | 31.45 |
We propose a kinetic description of the particles in an electron cyclotron resonance ion source (ECRIS) for highly charged ion production. The electron distribution function (EDF) is solution of a Fokker-Planck equation in velocity space. A new finite-volume scheme for the computation of the EDF is presented. The system is azimuthally symmetric. A two-dimensional, structured grid of quadrangles is used to describe the geometry in spherical polar coordinates (v, µ). The temporal stiffness problems are addressed with a semi-implicit method of time integration. Evaluation of the coefficients of the collision operator requires derivatives ef the Rosenbluth potentials in every time step. The computation is accomplished through parallel implementation. Examples of the application of the algorithm are given and the role of the different design parameters is studied.