SPLITTING SCHEME FOR NUMERICAL SIMULATION OF COLLISIONLESS RELATIVISTIC PLASMA DYNAMICS
A. I. Golubev, T. G. Sysoeva
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. Вып.1. С. 19-31.
Considered here is the generalization of splitting scheme of the set of Vlasov-Maxwell equations that has been suggested earlier in the case of relativistic plasma. Formally, it is of the same type as in the case of non-relativistic plasma but numerical implementation of single steps is much complicated. The accuracy analysis of the method of characteristics interpolating the distribution function of relativistic electrons in terms of cubic spline is carried out in numerical computation of the most complicated splitting scheme steps accounting for the influence of electromagnetic field components. The analysis results showed that this method gives the accuracy of conservation laws for kinetic equations acceptable for applications.Keywords: Vlasov-Maxwell equation, electron distribution function, characteristic method, cubic interpolating spline.
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