Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations
Siddhartha Mishra, Eitan Tadmor (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We design efficient numerical schemes for approximating the MHD equations in multi-dimensions. Numerical approximations must be able to deal with the complex wave structure of the MHD equations and the divergence constraint. We propose schemes based on the genuinely multi-dimensional (GMD) framework of [S. Mishra and E. Tadmor, (2010) 688–710; S. Mishra and E. Tadmor, (2011) 1023–1045]. The schemes are formulated in terms of . A suitable choice of the...