Lagrangian magneto-hydrodynamics based on curvilinear finite elements

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68378271:_____/21:00551923 RIV/68407700:21340/21:00348788

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Lagrangian magneto-hydrodynamics based on curvilinear finite elements

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Lagrangian magneto-hydrodynamics based on curvilinear finite elements

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10305 - Fluids and plasma physics (including surface physics)

Projekt

<a href="/cs/project/GA19-24619S" target="_blank" >GA19-24619S: Studium elektronových hustot a spontánních magnetických polí s využitím vícekanálové komplexní interferometrie</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

14th WCCM-ECCOMAS Congress 2020

ISBN

—

ISSN

2696-6999

e-ISSN

—

Počet stran výsledku

7

Strana od-do

"Roč. 300 (2021)"

Název nakladatele

International Center for Numerical Methods in Engineering

Místo vydání

Barcelona

Místo konání akce

online

Datum konání akce

11. 1. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—