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- W2004956181 abstract "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, Commun. Comput. Phys. 9 (2010) 688–710; S. Mishra and E. Tadmor, SIAM J. Numer. Anal. 49 (2011) 1023–1045]. The schemes are formulated in terms of vertex-centered potentials . A suitable choice of the potential results in GMD schemes that preserve a discrete version of divergence. First- and second-order divergence preserving GMD schemes are tested on a series of benchmark numerical experiments. They demonstrate the computational efficiency and robustness of the GMD schemes." @default.
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- W2004956181 date "2012-01-11" @default.
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- W2004956181 title "Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations" @default.
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- W2004956181 doi "https://doi.org/10.1051/m2an/2011059" @default.
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