Multiscale numerical methods for isothermal fluid models of confined plasmas
Chang Yang, Fabrice Deluzet

TL;DR
This paper develops asymptotic-preserving multiscale numerical methods tailored for fluid models of confined plasmas, addressing challenges posed by strong magnetic fields, anisotropy, and quasi-neutrality breakdowns.
Contribution
It introduces novel numerical techniques specifically designed to efficiently handle the multiscale and anisotropic features of confined plasma physics.
Findings
Successfully handles plasma anisotropy and quasi-neutrality breakdowns
Efficiently captures drift regime dynamics
Addresses multiscale challenges in plasma modeling
Abstract
The aim of this work is to introduce a numerical method to cope with the multiscale nature of confined plasma physics. These investigations are focused on fluid plasma description under large magnetic field. The difficulties in this context stem from intense magnetization of the plasma, inducing a severe anisotropy, possible quasi-neutrality breakdowns, which may occur locally in the plasma and, eventually, the drift regime which prevails for the description of the electrons. These characteristics bring small parameters compared to the scale of the studied device. This work is therefore devoted to highlighting the difficulties specific to this context and to developing numerical methods efficient to cope with this multiscale nature of the physics within the framework of asymptotic-preserving methods.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Electromagnetic Simulation and Numerical Methods · Advanced Numerical Methods in Computational Mathematics
