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
Conservative numerical schemes for the Vlasov equation
Journal of Computational Physics
Outflow Boundary Conditions for the Fourier Transformed One-Dimensional Vlasov–Poisson System
Journal of Scientific Computing
Numerical modelling of the two-dimensional Fourier transformed Vlasov-Maxwell system
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
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In order to facilitate numerical simulations of plasma phenomena where kinetic processes are important, we have studied the technique of Fourier transforming the Vlasov equation analytically in velocity space, and solving the resulting equation numerically. Particular attention has been paid to the boundary conditions of the Fourier transformed system. By using outgoing wave boundary conditions in the Fourier transformed space, small-scale information in velocity space is carried outside the computational domain and is removed, representing a dissipative loss mechainsm Thereby the so-called recurrence phenomenon is reduced. In the present article, a previously developed method in one spatial and one velocity dimension plus time is generalised to two spatial and two velocity dimensions plus time. Different high-order methods are used for computing derivatives as well as for the time stepping.