The semi-Lagrangian method for the numerical resolution of the Vlasov equation
Journal of Computational Physics
Journal of Computational Physics
Conservative numerical schemes for the Vlasov equation
Journal of Computational Physics
A numerical scheme for the integration of the Vlasov--Maxwell system of equations
Journal of Computational Physics
A new conservative unsplit method for the solution of the Vlasov equation
Journal of Computational Physics
A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system
Journal of Computational Physics
Parallelization of a Vlasov-Maxwell solver in four-dimensional phase space
Parallel Computing
VALIS: A split-conservative scheme for the relativistic 2D Vlasov-Maxwell system
Journal of Computational Physics
Multi-moment advection scheme for Vlasov simulations
Journal of Computational Physics
Hi-index | 31.47 |
For the first time, a 2D electromagnetic and relativistic semi-Lagrangian Vlasov model for a multi-computer environment was developed to study the laser-plasma interaction in an open system. Numerical simulations are presented for situations relevant to the penetration of an ultra-intense laser pulse inside a moderately overdense plasma and the relativistic filamentation instability in the case of an underdense plasma. The Vlasov model revealed a rich variety of phenomena associated with the fast particle dynamics induced by the laser pulse as particle trapping, particle acceleration and relativistic self-induced transparency in overdense plasma. Attention was focused on the efficiency and stability properties on the numerical scheme and implementation facilities on massively parallel computers. Success of the semi-Lagrangian Vlasov model is enhanced by the good conservation of the continuity equation and stability of Maxwell system due to the fine description of the electron distribution function and particularly of the charge density and current density.