Academic Journal
Anisotropic Diffusion in Toroidal geometries
| العنوان: | Anisotropic Diffusion in Toroidal geometries |
|---|---|
| المؤلفون: | Ratnani, Ahmed, Nkonga, B, Franck, Emmanuel, Eksaeva, Alina, Kazakova, Maria |
| المساهمون: | Max-Planck-Institut für Plasmaphysik Garching (IPP), Laboratoire de Mathématiques Appliquées de Bordeaux (MAB), Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1, TOkamaks and NUmerical Simulations (TONUS), Institut de Recherche Mathématique Avancée (IRMA), Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), The National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) Moscow, Russia, Lavrentyev Institute of Hydrodynamics (LIH), SBRAS |
| المصدر: | ISSN: 2267-3059. |
| بيانات النشر: | HAL CCSD EDP Sciences |
| سنة النشر: | 2016 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | anistropic diffusion, iso-parametric, toroidal, splines, grad safranov, 65D07, 65N30, 35J15, 35Q60, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| الوصف: | International audience ; In this work, we present a new Finite Element framework for toroidal geometries based on a tensor product description of the 3D basis functions. In the poloidal plan, different discretizations, including B-Splines and cubic Hermite-Bézier patchs are defined, while for the toroidal direction both Fourier discretization and cubic Hermite-Bézier elements can be used. In this work, we study the MHD equilibrium by solving the Grad-Shafranov equation, which is the basis and the starting point of any MHD simulation. Then we study the Anistropic Diffusion problem in both steady and unsteady states. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-01120692; https://hal.archives-ouvertes.fr/hal-01120692; https://hal.archives-ouvertes.fr/hal-01120692/document; https://hal.archives-ouvertes.fr/hal-01120692/file/cemracs2014.pdf |
| الاتاحة: | https://hal.archives-ouvertes.fr/hal-01120692 https://hal.archives-ouvertes.fr/hal-01120692/document https://hal.archives-ouvertes.fr/hal-01120692/file/cemracs2014.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.90AE6861 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |