Section: New Results

Asymptotic Preserving scheme for Vlasov-Maxwell to MHD

Participants: E. Franck, A. Crestetto (Nantes university), M. Badsi (Nantes university).

The MHD equation can be obtained by taking the limit of different small parameters of the bi-species Vlasov-Maxwell equations. Obtaining an "asymptotic preserving" scheme for the Vlasov equation (cost independent of the small parameters) is an important goal. Indeed, this type of scheme would allows us to construct coupling methods between MHD and Vlasov equations or to make simulations in various regimes to construct closures with data (see the previous point). During this year we have written a scheme able to treat the "quasi-neutral" and "mass-less" limits between the two-species Euler-Maxwell equations and the MHD model. The scheme is partially validated. We will finish the validation and add the collisional limit between Vlasov-Maxwell and Euler-Maxwell equations.