Lagrangian magneto-hydrodynamics based on curvilinear finite elements
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F21%3A00566137" target="_blank" >RIV/61389021:_____/21:00566137 - isvavai.cz</a>
Alternative codes found
RIV/68378271:_____/21:00551923 RIV/68407700:21340/21:00348788
Result on the web
<a href="https://www.scipedia.com/public/Nikl_et_al_2021a" target="_blank" >https://www.scipedia.com/public/Nikl_et_al_2021a</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.23967/wccm-eccomas.2020.186" target="_blank" >10.23967/wccm-eccomas.2020.186</a>
Alternative languages
Result language
angličtina
Original language name
Lagrangian magneto-hydrodynamics based on curvilinear finite elements
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
<a href="/en/project/GA19-24619S" target="_blank" >GA19-24619S: Study of electron densities and spontaneous magnetic fields by means of multi-channel complex interferometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
14th WCCM-ECCOMAS Congress 2020
ISBN
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ISSN
2696-6999
e-ISSN
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Number of pages
7
Pages from-to
"Roč. 300 (2021)"
Publisher name
International Center for Numerical Methods in Engineering
Place of publication
Barcelona
Event location
online
Event date
Jan 11, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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