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

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• 作者：H. Schmitz and R. Grauer
• 关键词：Vlasov simulations ; Method of characteristics
• 刊名：Computer Physics Communications
• 出版年：2006
• 出版时间：15 July 2006
• 年：2006
• 卷：175
• 期：2
• 页码：86-92
• 全文大小：197 K

文摘

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.