The Energy Conserving Particle-in-Cell Method

Details The Energy Conserving Particle-in-Cell Method The Energy Conserving Particle-in-Cell Method

2011-08-09

arxiv.org/abs/1108.1959v1

Physics

Computational Physics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The Energy Conserving Particle-in-Cell Method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Energy Conserving Particle-in-Cell Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Energy Conserving Particle-in-Cell Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70436