Lagrangian magneto-hydrodynamics based on curvilinear finite elements

0551923 - FZÚ 2022 RIV ES eng C - Konferenční příspěvek (zahraniční konf.)
Nikl, Jan - Kuchařík, M. - Weber, Stefan A.
Lagrangian magneto-hydrodynamics based on curvilinear finite elements.
14th WCCM-ECCOMAS Congress 2020. Barcelona: International Center for Numerical Methods in Engineering, 2021 - (Chinesta, F.; Abgrall, R.; Allix, O.; Kaliske, M.; Néron, D.), s. 1-7. ISSN 2696-6999.
[14th WCCM-ECCOMAS Congress 2020. online (ES), 11.01.2021-15.01.2021]
Grant CEP: GA MŠMT LQ1606; GA MŠMT EF16_019/0000789; GA MŠMT EF15_003/0000449
Grant ostatní: OP VVV - ADONIS(XE) CZ.02.1.01/0.0/0.0/16_019/0000789; OP VVV - HiFi(XE) CZ.02.1.01/0.0/0.0/15_003/0000449
Výzkumná infrastruktura: ELI Beamlines III - 90141
Institucionální podpora: RVO:68378271
Klíčová slova: magneto-hydrodynamics * Lagrangian hydrodynamics * finite element method * isoparametric elements * magnetic diffusion
Obor OECD: Fluids and plasma physics (including surface physics)
https://doi.org/10.23967/wccm-eccomas.2020.186

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.
Trvalý link: http://hdl.handle.net/11104/0327153