Počet záznamů: 1
High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme
- 1.
SYSNO ASEP 0560134 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme Tvůrce(i) Nikl, Jan (UFP-V) ORCID
Kuchařík, M. (CZ)
Weber, S. (CZ)Celkový počet autorů 3 Číslo článku 111158 Zdroj.dok. Journal of Computational Physics. - : Elsevier - ISSN 0021-9991
Roč. 464, September (2022)Poč.str. 28 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Conservative methods ; Curvilinear meshes ; Finite element method ; High-order methods ; Lagrangian hydrodynamics ; Resistive magneto-hydrodynamics Vědní obor RIV BL - Fyzika plazmatu a výboje v plynech Obor OECD Fluids and plasma physics (including surface physics) CEP EF16_019/0000778 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy GA19-24619S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora UFP-V - RVO:61389021 UT WOS 000807745300005 EID SCOPUS 85130557783 DOI 10.1016/j.jcp.2022.111158 Anotace 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. Pracoviště Ústav fyziky plazmatu Kontakt Vladimíra Kebza, kebza@ipp.cas.cz, Tel.: 266 052 975 Rok sběru 2023 Elektronická adresa https://www.sciencedirect.com/science/article/pii/S0021999122002200?via%3Dihub
Počet záznamů: 1