Numerical study of the plasma tearing instability on the resistive time scale

Deluzet, Fabrice; Negulescu, Claudia; Ottaviani, M.; Possanner, Stefan

doi:10.1016/j.jcp.2014.10.003

Cited by 5 publications

(3 citation statements)

References 29 publications

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“…In general, plasma physics is non linear and the formation of internal layers is a common feature in this context. Such an occurrence of local areas where the solution develops steep gradients is for instance dealt with in [15] using AP-methods. More sophisticated numerical methods remain yet to be developed along with AP schemes to address efficiently such problems: either local mesh refinements in the framework of unstructured grids, or patch techniques to perform local mesh refinement for Cartesian meshes [28].…”

Section: Towards Plasma Physics Simulationsmentioning

confidence: 99%

On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics

Yang

Deluzet

Narski

2019

Journal of Computational Physics

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In this paper, numerical schemes are introduced for the efficient resolution of anisotropic equations including high order differential operators. The model problem investigated in this paper, though simplified, is representative of the difficulties encountered in the modeling of Tokamak plasmas. The occurrence of high order differential operators introduces specific difficulties for the design of effective numerical methods. On the one hand, regular discretizations of the problem provide matrices characterized by a condition number that blows up with increasing anisotropy strength. On the other hand, matrices issued from Asymptotic-Preserving methods preserve a condition number bounded with respect to the anisotropy strength, nonetheless it scales very poorly as the mesh is refined. Both alternatives reveal to be inoperative in this specific framework to address the targeted values of anisotropy on refined meshes. We therefore introduce two successful methods offering the advantages of each approach: a condition number unrelated to the anisotropy strength and scaling as favorably as standard discretizations with the mesh refinement.

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Section: Towards Plasma Physics Simulationsmentioning

confidence: 99%

On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics

Yang

Deluzet

Narski

2019

Journal of Computational Physics

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“…The Micro-Macro as well as the duality based methods have been developed to heterogeneous anisotropy ratios in [48,60]. The Micro-Macro approach has been extended to closed magnetic field lines thanks to a regularization of the problem introduced in [114] and also implemented in [63]. Note that, an asymptotic preserving method based on a lagrangian integration along the anisotropy direction is proposed in [28].…”

Section: Generalization To Non Adapted Coordinatesmentioning

confidence: 99%

“…Indeed standard approaches have some difficulties in specific areas such as the so-called "O point" or "X point" [82,70,126] where the coordinate system is singular. Moreover, the goal pursued here is to easily account for changes in the magnetic field topology, with for instance the creation of magnetic islands [15,7,83,87,63,139,122,140]. To this end, the numerical methods developed within this section are free from any assumption relating the magnetic field to the mesh or the coordinate system.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic-Preserving methods and multiscale models for plasma physics

Degond

Deluzet

2017

Journal of Computational Physics

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The purpose of the present paper is to provide an overview of As ymptotic- Preserving methods for multiscale plasma simulations by ad dressing three sin- gular perturbation problems. First, the quasi-neutral lim it of fluid and kinetic models is investigated in the framework of non magnetized as well as magne- tized plasmas. Second, the drift limit for fluid description s of thermal plasmas under large magnetic fields is addressed. Finally efficient nu merical resolutions of anisotropic elliptic or diffusion equations arising in ma gnetized plasma simu- lation are reviewed

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Existence of a strong solution for the 2D four-field RMHD equations

Kondo,

Sawamura

2023

Annali di Matematica

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Numerical study of the plasma tearing instability on the resistive time scale

Cited by 5 publications

References 29 publications

On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics

On the numerical resolution of anisotropic equations with high order differential operators arising in plasma physics

Asymptotic-Preserving methods and multiscale models for plasma physics

Existence of a strong solution for the 2D four-field RMHD equations

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