A 3D finite volume scheme for the simulation of edge plasma in Tokamaks
| Autor: | Maco Bilanceri, Laure Combe, Boniface Nkonga, Afeintou Sangam, Hervé Guillard |
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| Přispěvatelé: | Control, Analysis and Simulations for TOkamak Research (CASTOR), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Laboratoire Jean Alexandre Dieudonné (LJAD), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Curvilinear coordinates
Mathematical optimization T57-57.97 Finite volume method Applied mathematics. Quantitative methods Discretization Basis (linear algebra) Computer science Mathematical analysis 010103 numerical & computational mathematics Edge (geometry) 01 natural sciences Control volume Projection (linear algebra) 010101 applied mathematics Physics::Plasma Physics [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph] QA1-939 [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Cylindrical coordinate system 0101 mathematics [MATH]Mathematics [math] Mathematics ComputingMilieux_MISCELLANEOUS [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | ESAIM: Proceedings ESAIM: Proceedings, 2013, 43, pp.164-179. ⟨10.1051/proc/201343011⟩ ESAIM: Proceedings, EDP Sciences, 2013, 43, pp.164-179. ⟨10.1051/proc/201343011⟩ ESAIM: Proceedings and Surveys, Vol 43, Pp 164-179 (2013) |
| ISSN: | 1270-900X |
| DOI: | 10.1051/proc/201343011⟩ |
| Popis: | A finite volume method in cylindrical coordinates for the simulation of the edge region in tokamaks is proposed. In contrast to standard methods, which require the projected form of the equations in curvilinear coordinates, a new method is proposed. This technique is based on the discretization on the vector form of the equations and then on the projection on the basis of the curvilinear system associated to each control volume. The proposed methodology has been validated on several simple test cases and applied on a 3D simulation of a reduced MHD model. |
| Databáze: | OpenAIRE |
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