Display Abstract

Title Reduced model in velocity and hyperbolic approximation in space for the Vlasov equation

Name Laurent Navoret
Country France
Email laurent.navoret@math.unistra.fr
Co-Author(s) Philippe Helluy, Nhung Pham
Submit Time 2014-02-28 09:30:00
Session
Special Session 121: Numerical techniques for the description of charged particles transport
Contents
We present a reduction of the Vlasov equation into a space-only hyperbolic system: the distribution function is expanded on a finite-element basis in the velocity variables. Parallelized finite-volume schemes enable to solve the obtained system and achieve high performance. Moreover, this numerical approach has interesting conservation and stability properties. However, the numerical dissipation affects the precision of the finest resolved scales. In order to better control the high frequency oscillations in the velocity variables, the same numerical method is applied to the Fourier-transformed Vlasov equation.