2020/06/29 by Francis Filbet, Filbet, Francis
Engineering · Mathematics · Physics and Astronomy · #Computational Engineering #Computational Fluid Dynamics and Aerodynamics #FOS: Computer and information sciences #FOS: Mathematics #Finance #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA) #Optical properties and cooling technologies in crystalline materials #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2006.15885
openalex publication_date 2020/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present a spectral collocation method for the fast evaluation of the Landau collision operator for plasma physics, which allows us to obtain spectrally accurate numerical solutions. The method is inspired by the seminal work [36], but it is specifically designed for Coulombian interactions, taking into account the particular structure of the operator. It allows us to reduce the number of discrete convolutions to provide an approximation of the Landau operator. Then, we show that the method preserves the total mass whereas momentum and energy are approximated with spectral accuracy. Numerical results for the Landau equation in three dimensions in velocity space are presented to illustrate the efficiency of the present approach.