Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 230, Issue 18, Pages 7037-7052Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.05.033
Keywords
Energy conserving particle-in-cell method; Fully implicit particle-in-cell method; Kinetic plasma simulations
Funding
- Onderzoekfonds KU Leuven (Research Fund KU Leuven)
- European Commissions [FP7/2007-2013, 218816]
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A new particle-in-cell (PLC) method, that conserves energy exactly, is presented. The particle equations of motion and the Maxwell's equations are differenced implicitly in time by the midpoint rule and solved concurrently by a Jacobian-free Newton Krylov (JFNK) solver. Several tests show that the finite grid instability is eliminated in energy conserving PIC simulations, and the method correctly describes the two-stream and Weibel instabilities, conserving exactly the total energy. The computational time of the energy conserving PIC method increases linearly with the number of particles, and it is rather insensitive to the number of grid points and time step. The kinetic enslavement technique can be effectively used to reduce the problem matrix size and the number of JFNK solver iterations. (C) 2011 Elsevier Inc. All rights reserved.
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