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Mathematical modeling and simulation of non-equilibrium plasmas : application to magnetic reconnection in the Sun atmosphere

Abstract : The ability to model, simulate and predict magnetic reconnection (MR) is a stumbling block in order to predict space weather and geomagnetic storms, which can lead to great perturbation of satellites. Some fundamental aspects of MR are not yet well understood. The scientific issue at stake is the proper description of the unsteady energy transfer from magnetic energy to kinetic and thermal energy, which is still out of reach for the standard Magneto-hydrodynamics (MHD) models. The first objective of the present project is to develop a coherent fluid model for magnetized plasmas out of thermal and chemical equilibrium with a detailed description of the dissipative effects based on kinetic theory of gases, which thus inherits a proper mathematical structure. The second goal is the development of a new numerical strategy, with high accuracy and robustness, based on a massively parallel code with adaptive mesh refinement able to cope with the full spectrum of scales of the model and related stiffness. The whole set of transport coefficients, thermodynamics relations and chemical rates in this magnetized two-temperature setting will be studied and compared to the one in the literature used in the field. Then, we will show that the model and related numerical strategy, obtained from this transdisciplinary work involving engineering, plasma physics, solar physics, mathematics, scientific computing and HPC, is able to properly reproduce the physics of MR. The validation of the approach through a series of test-cases relevant for the application to the dynamics of solar atmosphere in connection with VKI and NASA will provide a tool, open to the community, capable of resolving several critical scientific and technological issues.
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https://tel.archives-ouvertes.fr/tel-02500745
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Submitted on : Friday, March 6, 2020 - 12:13:31 PM
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Quentin Wargnier. Mathematical modeling and simulation of non-equilibrium plasmas : application to magnetic reconnection in the Sun atmosphere. Mathematical Physics [math-ph]. Université Paris Saclay (COmUE), 2019. English. ⟨NNT : 2019SACLC066⟩. ⟨tel-02500745⟩

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