A forward semi-Lagrangian method for the numerical solution of the Vlasov equation

Abstract

This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic way description of plasma evolution, and is coupled with Poisson’s equation. A new semi-Lagrangian method is developed. The distribution function is updated on an eulerian grid, and the pseudo-particles located on the mesh’s nodes follow the characteristics of the equation forward for one time step, and are deposited on the 16 nearest nodes. This is an explicit way of solving Vlasov equation on a grid of the phase space, which makes it easier to develop hig

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