High-Order Curvilinear Arbitrary Lagrangian-Eulerian MHD


High-Order Curvilinear Arbitrary Lagrangian-Eulerian MHD

Nikl, J.; Kuchařík, M.; Cangi, A.

Two-temperature resistive magnetohydrodynamics can model magnetized collisional plasmas present in inertial confinement fusion (ICF) experiments. In particular, Lagrangian methods excel in problems with strong compression or expansion, since the computational mesh follows the flow of the matter. However, simulations may loose precision, become unfeasible or even crash due to severely distorted or entangled meshes. A remedy is provided by the Arbitrary Lagrangian-Eulerian (ALE) method consisting of normal Lagrangian step(s), rezoning for regularization or untangling of the computational mesh, and remapping of the quantities from the old mesh to the new one. This procedure enables robust and precise simulations of ICF with the effects of magnetic field. We develop such a method for resistive two-temperature MHD. Unlike classical approaches, it conserves the magnetic flux and maintains the divergence-free structure of the magnetic field. Moreover, the numerical method is based on high-order curvilinear finite elements.

  • Poster
    Direct Drive and Fast Ignition Workshop 2023, 03.-05.05.2023, Oxford, United Kingdom

Permalink: https://www.hzdr.de/publications/Publ-36897
Publ.-Id: 36897