On the particle method for the Vlasov kinetic equation. (English. Russian original) Zbl 1086.76586

Comput. Math. Math. Phys. 38, No. 11, 1801-1807 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1877-1883 (1998).
The author haves show that the apparent self-heating in the ensemble of large particles of a plasma can be caused by the error of approximation of the force acting on each particle. This error is known as the self-force. It does not decrease with mesh size in traditional algorithms of the particle method. A new class of grid kernels is proposed, which is free of this disadvantage. Numerical solution of unsteady three-dimensional plasma dynamics confirms a high efficiency of an algorithm based on the new kernel.


76M28 Particle methods and lattice-gas methods
76X05 Ionized gas flow in electromagnetic fields; plasmic flow