A SPLITTING SCHEME FOR NUMERICAL SOLUTION OF KINETIC VLASOV EQUATION
A.I. Golubev, T.G. Sysoeva
VANT. Ser.: Mat. Mod. Fiz. Proc 2002. Вып.3. С. 68-71.
A finite-difference method for solving Vlasov equation, based on a new scheme of coordinate by coordinate splitting is presented. When constructing a numerical algorithm a scheme for splitting kinetic equation based on substitution of multidimensional transfer equation for a sequence of one-dimensional transfers in each direction and two-dimensional rotations is used and in addition to that Maxwell equations are splitted. For solving one-dimensional transfer equations at the stage of accounting space gradients effect on the distribution function the scheme, using cubic spline interpolation is therewith applied. At the stage of accounting the electric field component effect on the distribution function a monotonous nonlinear Aloyan and Dymnikov scheme is used. To take into account magnetic field effect a special interpolation scheme, in which magnetic field does not change kinetic energy of plasma, is applied. Efficiency of the scheme under consideration is exemplified by the problem on numerical simulation of Landau jumping in heated collisionless plasma.
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