High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F22%3A00560134" target="_blank" >RIV/61389021:_____/22:00560134 - isvavai.cz</a>
Alternative codes found
RIV/68378271:_____/22:00560629 RIV/68407700:21340/22:00357679
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0021999122002200?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0021999122002200?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcp.2022.111158" target="_blank" >10.1016/j.jcp.2022.111158</a>
Alternative languages
Result language
angličtina
Original language name
High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational Physics
ISSN
0021-9991
e-ISSN
1090-2716
Volume of the periodical
464
Issue of the periodical within the volume
September
Country of publishing house
US - UNITED STATES
Number of pages
28
Pages from-to
111158
UT code for WoS article
000807745300005
EID of the result in the Scopus database
2-s2.0-85130557783