Derivation and numerical approximation of two-temperature Euler plasma model

Autor: Hervé Guillard, Afeintou Sangam, Elise Estibals
Přispěvatelé: Control, Analysis and Simulations for TOkamak Research (CASTOR), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Laboratoire Jean Alexandre Dieudonné (LJAD)
Jazyk: angličtina
Rok vydání: 2021
Předmět:
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]
Work (thermodynamics)
Tokamak
Physics and Astronomy (miscellaneous)
Writing
Two-Temperatures Euler plasma model
law.invention
symbols.namesake
Two temperature
toroidal geometry CRediT authorship contribution statement Afeintou Sangam: Conceptualization
law
Physics::Plasma Physics
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
[PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph]
Writing.Élise Estibals: Conceptualization
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
relaxation scheme
ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.4: Finite volume methods
ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS
ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.5: Hyperbolic equations
Physics
Numerical Analysis
Finite volume method
Applied Mathematics
Mathematical analysis
Methodology
Plasma
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Computer Science Applications
Computational Mathematics
Writing. Hervé Guillard: Conceptualization
Modeling and Simulation
Physics::Space Physics
Euler's formula
symbols
unstructured mesh
Magnetohydrodynamics
Toroidal geometry
finite volume
Software
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Zdroj: Journal of Computational Physics
Journal of Computational Physics, 2021, 444, pp.48. ⟨10.1016/j.jcp.2021.110565⟩
ISSN: 0021-9991
1090-2716
DOI: 10.1016/j.jcp.2021.110565⟩
Popis: International audience; 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.
Databáze: OpenAIRE
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