Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields

Details Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields

2006-03-24

arxiv.org/abs/physics/0603208v1

Physics

Computational Physics

to appear in Comp. Phys. Comm

Scientific paper

10.1016/j.cpc.2006.02.007

The standard approach for integrating the multidimensional Vlasov equation using grid based, conservative schemes is based on a time splitting approach. Here, we show that although the truncation error is of second order, time splitting can introduce systematic heating of the plasma. We introduce a backsubstitution method, which not only avoids this deficiency but also is computationally less expensive. The general approach is demonstrated in conjunction with Boris' scheme for evaluating the characteristics.

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