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A multi well-balanced scheme for the shallow water MHD system with topography

Abstract : The shallow water magnetohydrodynamic system involves different families of physically relevant steady states. In this paper, we design a well-balanced numerical scheme for the shallow water magnetohydro-dynamic system with topography, that resolves exactly a large family of steady states. It is obtained by a generalized hydrostatic reconstruction algorithm involving the magnetic field. It is positive in height and semi-discrete entropy satisfying, which ensures the robustness of the scheme.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01131297
Contributor : François Bouchut Connect in order to contact the contributor
Submitted on : Friday, March 13, 2015 - 12:01:10 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM
Long-term archiving on: : Monday, April 17, 2017 - 2:38:26 PM

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  • HAL Id : hal-01131297, version 1

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François Bouchut, Xavier Lhébrard. A multi well-balanced scheme for the shallow water MHD system with topography. 2015. ⟨hal-01131297v1⟩

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