Journal of Computational Physics
Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
A splitting algorithm for Vlasov simulation with filamentation filtration
Journal of Computational Physics
Fourth-order difference methods for hyperbolic IBVPs
Journal of Computational Physics
Outflow Boundary Conditions for the Fourier Transformed One-Dimensional Vlasov–Poisson System
Journal of Scientific Computing
Plasma Physics Via Computer
A critical comparison of Eulerian-grid-based Vlasov solvers
Journal of Computational Physics
A numerical scheme for the integration of the Vlasov--Maxwell system of equations
Journal of Computational Physics
Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation
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
Parallelization of a Vlasov-Maxwell solver in four-dimensional phase space
Parallel Computing
Computers & Mathematics with Applications
Hi-index | 31.45 |
A problem with the solution of the Vlasov equation is its tendency to become filamented/oscillatory in velocity space, which in numerical simulations can give rise to unphysical oscillations and recurrence effects. We present a three-dimensional Vlasov-Maxwell solver (three spatial and velocity dimensions, plus time), in which the Vlasov equation is Fourier transformed in velocity space and the resulting equations solved numerically. By designing absorbing outflow boundary conditions in the Fourier transformed velocity space, the highest Fourier modes in velocity space are removed from the numerical solution. This introduces a dissipative effect in velocity space and the numerical recurrence effect is strongly reduced. The well-posedness of the boundary conditions is proved analytically, while the stability of the numerical implementation is assessed by long-time numerical simulations. Well-known wave-modes in magnetized plasmas are shown to be reproduced by the numerical scheme.