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An entropic solver for ideal Lagrangian magnetohydrodynamics. (English) Zbl 0952.76053
Summary: We adapt to the ideal one-dimensional Lagrangian MHD equations a class of numerical schemes of order one in time and space. They use some properties of conservation laws with zero entropy flux which describe fluid models invariant by Galilean transformation and reversible for regular solutions. These numerical schemes satisfy the entropy inequality under CFL conditions. In the last section, we describe a particular scheme for the MHD equations and show with some numerical applications its robustness and accuracy.

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