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Derivation and numerical approximation of two-temperature Euler plasma model

Afeintou Sangam 1, 2 Élise Estibals 2 Hervé Guillard 2, 1
1 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : This paper gives a derivation of the two-temperature Euler plasma system from the two-fluid MHD model. The two-temperature Euler plasma system is proved to be an asymptotic regime for weakly magnetized plasma of the two-fluid MHD model. Our procedure is more general, enabling us to show that assumptions in previous derivations in literature are straightforward consequences of our work. We then propose a finite volume approximation to compute the solution of the two-temperature Euler plasma model in unstructured tessellations used to adequately mesh the toroidal geometry of the tokamak, where flows the plasma. Numerical tests illustrate our method.
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Submitted on : Wednesday, January 26, 2022 - 5:20:49 AM
Last modification on : Sunday, May 1, 2022 - 3:17:47 AM
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Afeintou Sangam, Élise Estibals, Hervé Guillard. Derivation and numerical approximation of two-temperature Euler plasma model. Journal of Computational Physics, Elsevier, 2021, 444, pp.48. ⟨10.1016/j.jcp.2021.110565⟩. ⟨hal-03543365⟩



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