Nonconservative hyperbolic systems in fluid mechanics
ESAIM. Proceedings, Tome 64 (2018), pp. 1-16.

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This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.
@article{EP_2018_64_a1,
     author = {Denise Aregba-Driollet and St\'ephane Brull and Xavier Lh\'ebrard},
     title = {Nonconservative hyperbolic systems in fluid mechanics},
     journal = {ESAIM. Proceedings},
     pages = {1--16},
     publisher = {mathdoc},
     volume = {64},
     year = {2018},
     doi = {10.1051/proc/201864001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201864001/}
}
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Denise Aregba-Driollet; Stéphane Brull; Xavier Lhébrard. Nonconservative hyperbolic systems in fluid mechanics. ESAIM. Proceedings, Tome 64 (2018), pp. 1-16. doi : 10.1051/proc/201864001. http://geodesic.mathdoc.fr/articles/10.1051/proc/201864001/

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