On finite-difference methods for solving discrete-ordinates transport equations
SIAM Journal on Numerical Analysis
A splitting algorithm for Vlasov simulation with filamentation filtration
Journal of Computational Physics
High resolution schemes for hyperbolic conservation laws
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
The semi-Lagrangian method for the numerical resolution of the Vlasov equation
Journal of Computational Physics
Journal of Computational Physics
A non-periodic 2D semi-Lagrangian Vlasov code for laser-plasma interaction on parallel computer
Journal of Computational Physics
Numerical modelling of the two-dimensional Fourier transformed Vlasov-Maxwell system
Journal of Computational Physics
A new conservative unsplit method for the solution of the Vlasov equation
Journal of Computational Physics
Journal of Computational Physics
Outflow boundary conditions for the Fourier transformed three-dimensional 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
A conservative scheme for the relativistic Vlasov-Maxwell system
Journal of Computational Physics
Multi-moment advection scheme for Vlasov simulations
Journal of Computational Physics
A discontinuous Galerkin method for the Vlasov-Poisson system
Journal of Computational Physics
Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma
Journal of Computational Physics
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system
Journal of Computational Physics
Hi-index | 31.50 |
We present a discussion of some numerical algorithms for the solution of the Vlasov-Maxwell system of equations in the magnetized, nonrelativistic case. We show that a splitting scheme combined with a Van Leer type of discretization provides an efficient and accurate scheme for integrating the motion of charged particles in their self-consistent electromagnetic field. The problem of open boundary conditions is also considered. We then discuss the parallelization strategy as used on large parallel computers. Finally, we present an example of the evolution of an electromagnetic beam plasma instability as a typical problem of interest in plasma physics research which can be studied with the Vlasov code.