zbMATH — the first resource for mathematics

Construction of a Roe linearization for the ideal MHD equations. (Construction d’une linéarisée de Roe pour les équations de la MHD idéale.) (French) Zbl 0873.76094
Summary: C. D. Munz [SIAM J. Numer. Anal. 31, No. 1, 17-42 (1994; Zbl 0796.76057)] has constructed a Roe linearization for the equations of gas dynamics in Lagrangian coordinates. We extend this construction to the case of the ideal magnetohydrodynamics equations again in Lagrangian coordinates. As a consequence, we obtain a Roe linearization for the MHD equations in Eulerian coordinates.

76W05 Magnetohydrodynamics and electrohydrodynamics
76M20 Finite difference methods applied to problems in fluid mechanics