A 2-D Vlasov-Maxwell solver on unstructured meshes. (English) Zbl 0874.76061

Issautier, Didier; Poupaud, Frédéric; Cioni, Jean-Pierre; Fezoui, Loula

Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 355-371 (1995).

Summary: We present a method for solving the Vlasov-Maxwell system. We propose a new constrained formulation of the Maxwell equations in order to better satisfy the divergence conditions \(\text{div} B=0\), \(\text{div} {\mathbf E} ={\rho\over \varepsilon_0}\). The electromagnetic field is approximated using a finite volume method, and the Vlasov equation is solved by a particle method. Some numerical test cases are presented.
For the entire collection see [Zbl 0846.00038].

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
76X05	Ionized gas flow in electromagnetic fields; plasmic flow

Keywords:

constrained formulation of Maxwell equations; divergence conditions; finite volume method; particle method