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Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
I. Physikalisches Institut, Universität zu Köln, Köln, Germany.
Mathematisches Institut, Universität zu Köln, Köln, Germany.ORCID-id: 0000-0002-5902-1522
Mathematisches Institut, Universität zu Köln, Köln, Germany.
I. Physikalisches Institut, Universität zu Köln, Köln, Germany.
Vise andre og tillknytning
2018 (engelsk)Inngår i: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 364, s. 420-467Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The paper presents two contributions in the context of the numerical simulation of magnetized fluid dynamics. First, we show how to extend the ideal magnetohydrodynamics (MHD) equations with an inbuilt magnetic field divergence cleaning mechanism in such a way that the resulting model is consistent with the second law of thermodynamics. As a byproduct of these derivations, we show that not all of the commonly used divergence cleaning extensions of the ideal MHD equations are thermodynamically consistent. Secondly, we present a numerical scheme obtained by constructing a specific finite volume discretization that is consistent with the discrete thermodynamic entropy. It includes a mechanism to control the discrete divergence error of the magnetic field by construction and is Galilean invariant. We implement the new high-order MHD solver in the adaptive mesh refinement code FLASH where we compare the divergence cleaning efficiency to the constrained transport solver available in FLASH (unsplit staggered mesh scheme).

sted, utgiver, år, opplag, sider
Elsevier, 2018. Vol. 364, s. 420-467
Emneord [en]
magnetohydrodynamics, entropy stability, divergence-free magnetic field, divergence cleaning
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-156853DOI: 10.1016/j.jcp.2018.03.002ISI: 000432481000020Scopus ID: 2-s2.0-85045397430OAI: oai:DiVA.org:liu-156853DiVA, id: diva2:1315777
Forskningsfinansiär
EU, European Research Council, 679852EU, European Research Council, 714487German Research Foundation (DFG), SPP 1573Tilgjengelig fra: 2019-05-14 Laget: 2019-05-14 Sist oppdatert: 2019-05-23bibliografisk kontrollert

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