Title of article :
The energy conserving particle-in-cell method
Author/Authors :
Stefano Markidis، نويسنده , , Stefano and Lapenta، نويسنده , , Giovanni، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
A new particle-in-cell (PIC) 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.
Keywords :
Kinetic plasma simulations , Energy conserving particle-in-cell method , Fully implicit particle-in-cell method
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics