Comparison of high-order Eulerian methods for electron hybrid model

In this work, we focus on the numerical approximation of a hybrid fluid-kinetic plasma model for electrons, in which energetic electrons are described by Vlasov kinetic whereas fluid is used cold population electrons. First, study validity modeling two dimensional context (one dimension space and one velocity) against full (stiff) second, four configuration considered three dimensions following [1]. To do so, consider Eulerian methods. The first based Hamiltonian structure system second approach, exponential integrators, enables to derive high order integrator remove CFL condition induced linear part. efficiency these methods, combined with an adaptive time stepping strategy, discussed different configurations nonlinear regimes.