A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase permits to avoid excessive small time steps induced by the stiffness of the diffusive collision operator. Here we present the details of a numerical simulation of the relaxation process in a three-dimensional Coulomb gas.
A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case
PARESCHI, Lorenzo
2002
Abstract
A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase permits to avoid excessive small time steps induced by the stiffness of the diffusive collision operator. Here we present the details of a numerical simulation of the relaxation process in a three-dimensional Coulomb gas.File in questo prodotto:
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