Coherent electric structures: Vlasov-Ampère simulations and observational consequences

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system

In this paper, we propose energy-conserving numerical schemes for the VlasovAmpère (VA) systems. The VA system is a model used to describe the evolution of probability density function of charged particles under self consistent electric field in plasmas. It conserves many physical quantities, including the total energy which is comprised of the kinetic and electric energy. Unlike the total part...

Vlasov-Maxwell Simulations in Singular Geometries

This paper is devoted to the solution of the time-dependent Vlasov-Maxwell equations in singular geometries, i.e. when the boundary includes reentrant corners or edges. Indeed, computing the electromagnetic fields in this case is a challenge per se, as these geometrical singularities generate very strong solutions in their neighborhood. Moreover, they have also an influence over the solution of...

Vlasov simulations of parallel potential drops

Darwin-Vlasov Simulations of magnetized Plasmas

We present a new Vlasov code for collisionless plasmas in the nonrelativistic regime. A Darwin approximation is used for suppressing electromagnetic vacuum modes. The spatial integration is based on an extension of the flux-conservative scheme, introduced by Filbet et al. [23]. Performance and accuracy is demonstrated by comparing it to a standard finite differences scheme for two test cases, i...

Darwin-Vlasov simulations of magnetised plasmas

We present a new Vlasov code for collisionless plasmas in the nonrelativistic regime. A Darwin approximation is used for suppressing electromagnetic vacuum modes. The spatial integration is based on an extension of the flux-conservative scheme, introduced by Filbet et al. [F. Filbet, E. Sonnendrücker, P. Bertrand, Conservative numerical schemes for the Vlasov equation, J. Comput. Phys. 172 (200...