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Lagrangian magneto-hydrodynamics based on curvilinear finite elements
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SYSNO ASEP 0566137 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Lagrangian magneto-hydrodynamics based on curvilinear finite elements Author(s) Nikl, Jan (UFP-V) ORCID
Kuchařík, M. (CZ)
Weber, S. (CZ)Number of authors 3 Source Title 14th WCCM-ECCOMAS Congress 2020. - Barcelona : International Center for Numerical Methods in Engineering, 2021 / Chinesta F. ; Abgrall R. ; Allix O. ; Kaliske M. ; Néron D. - ISSN 2696-6999 Pages roč. 300 (2021), s. 186-192 Number of pages 7 s. Publication form Online - E Action 14th WCCM-ECCOMAS Congress 2020 Event date 11.01.2021 - 15.01.2021 VEvent location online Country ES - Spain Event type WRD Language eng - English Country ES - Spain Keywords Finite element method ; Isoparametric elements ; Lagrangian hydrodynamics ; Magnetic diffusion ; Magneto-hydrodynamics Subject RIV BL - Plasma and Gas Discharge Physics OECD category Fluids and plasma physics (including surface physics) R&D Projects GA19-24619S GA ČR - Czech Science Foundation (CSF) Institutional support UFP-V - RVO:61389021 EID SCOPUS 85122064331 DOI 10.23967/wccm-eccomas.2020.186 Annotation The magneto-hydrodynamic model is widely used for description of magnetized fluids in plasma dynamics, microfluidics, astrophysics and many other applications. In terms of modelling, the Lagrangian formulation is favourable for the rapid expansion during laser–target interaction for example. This is the case for inertial fusion and laboratory astrophysics applications, which are our primary interest. However, the proposed numerical method remains general and can be applied elsewhere. The conservation properties and divergence-free magnetic field are crucial aspects, which are not satisfied by the traditional numerical schemes. Here, the Lagrangian hydrodynamics using curvilinear finite elements is extended to the resistive magneto-hydrodynamics. An energy-conserving numerical scheme is formulated maintaining divergence-free magnetic field. The mixed finite element formulation provides theoretically arbitrary order of the spatial convergence and application on unstructured Lagrangian grids in multiple dimensions. An example of a physically relevant numerical simulation is presented. Workplace Institute of Plasma Physics Contact Vladimíra Kebza, kebza@ipp.cas.cz, Tel.: 266 052 975 Year of Publishing 2023 Electronic address https://www.scipedia.com/public/Nikl_et_al_2021a
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