Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Particle Beam Dynamics Simulations Using the POOMA Framework
ISCOPE '98 Proceedings of the Second International Symposium on Computing in Object-Oriented Parallel Environments
Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm
Journal of Computational Physics
| Hi-index | 31.45 |
Lewis has found algorithms for many-particle plasma simulation models in which there exists an exact energy constant in the limit of small time step. The requirements for energy consevation are examined here and relaxed from those given by Lewis, in that his prescription for the difference form of Poisson's equation is found not necessary. One may therefore choose the Poisson algorithm to satisfy other criteria. However a connection is established between Lewis' difference equation, the interpolation method, and the accuracy of the Coulomb interparticle forces. Unlike the usual models, momentum is not conserved by these algorithms. Rough measures are given for the importance of this nonconservation, in the simplest case of linear interpolation. Another example uses spline interpolation to obtain smoother and more accurate fields and better momentum conservation.