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High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme
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SYSNO ASEP 0560134 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme Author(s) Nikl, Jan (UFP-V) ORCID
Kuchařík, M. (CZ)
Weber, S. (CZ)Number of authors 3 Article number 111158 Source Title Journal of Computational Physics. - : Elsevier - ISSN 0021-9991
Roč. 464, September (2022)Number of pages 28 s. Language eng - English Country US - United States Keywords Conservative methods ; Curvilinear meshes ; Finite element method ; High-order methods ; Lagrangian hydrodynamics ; Resistive magneto-hydrodynamics Subject RIV BL - Plasma and Gas Discharge Physics OECD category Fluids and plasma physics (including surface physics) R&D Projects EF16_019/0000778 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA19-24619S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support UFP-V - RVO:61389021 UT WOS 000807745300005 EID SCOPUS 85130557783 DOI 10.1016/j.jcp.2022.111158 Annotation Magneto-hydrodynamics is one of the foremost models in plasma physics with applications in inertial confinement fusion, astrophysics and elsewhere. Advanced numerical methods are needed to get an insight into the complex physical phenomena. The classical Lagrangian methods are typically limited to the low orders of convergence and suffer from violation of the divergence-free condition for magnetic field or conservation of the invariants. This paper is the first part of a new series about high-order non-ideal magneto-hydrodynamics, where a multi-dimensional conservative Lagrangian method based on curvilinear finite elements is presented. The condition on zero divergence of magnetic field and conservation of mass, momentum, magnetic flux and the total energy are satisfied exactly. The curvilinear elements prevent entangling of the computational mesh and its imprinting into the solution. A high-order conservative time integration is applied, where an arbitrary order of convergence is attained for problems of ideal magneto-hydrodynamics. The resistive magnetic field diffusion is solved by an implicit scheme. Description of the method is given and multiple test problems demonstrating properties of the scheme are performed. The construction of the method and possible future directions of development are discussed. Workplace Institute of Plasma Physics Contact Vladimíra Kebza, kebza@ipp.cas.cz, Tel.: 266 052 975 Year of Publishing 2023 Electronic address https://www.sciencedirect.com/science/article/pii/S0021999122002200?via%3Dihub
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