Charge-and-energy conserving moment-based accelerator for a multi-species VlasovFokkerPlanckAmpre system, part I: Collisionless aspects
In this study, we propose a charge, momentum, and energy conserving discretization for the 1D1V VlasovAmpre system of equations on an Eulerian grid. The new conservative discretization is nonlinear in nature, but can be efficiently converged with a moment-based nonlinear accelerator algorithm. We demonstrate the conservation and convergence properties of the scheme with various numerical examples, including a multi-scale ionacoustic shockwave problem.
moment based acceleration charge momentum energy conservation vlasov ampre finite volume