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CPHYSICS
2006

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

10 years 11 months ago
Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields
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. Key words: Vlasov simulations, method of characteristics PACS: 02.70.-c, 52.25.Dg, 52.65.Ff, 52.25.Xz
H. Schmitz, R. Grauer
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CPHYSICS
Authors H. Schmitz, R. Grauer
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