تقرير
An asymptotic-preserving semi-Lagrangian algorithm for the anisotropic heat transport equation with arbitrary magnetic fields
| العنوان: | An asymptotic-preserving semi-Lagrangian algorithm for the anisotropic heat transport equation with arbitrary magnetic fields |
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| المؤلفون: | Chacon, L., Di Giannatale, G. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Physics - Plasma Physics |
| الوصف: | We extend the recently proposed semi-Lagrangian algorithm for the extremely anisotropic heat transport equation [Chac\'on et al., J. Comput. Phys., 272 (2014)] to deal with arbitrary magnetic field topologies. The original scheme (which showed remarkable numerical properties) was valid for the so-called tokamak-ordering regime, in which the magnetic field magnitude was not allowed to vary much along field lines. The proposed extension maintains the attractive features of the original scheme (including the analytical Green's function, which is critical for tractability) with minor modifications, while allowing for completely general magnetic fields. The accuracy and generality of the approach are demonstrated by numerical experiment with an analytical manufactured solution. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.02829 |
| رقم الأكسشن: | edsarx.2408.02829 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |