Smoothed Particle Magnetohydrodynamics: A State of the Union
Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e. smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably difficult. To implement MHD requires two steps: a modification to the momentum equation and an induction equation, and both present challenges. We first provi...
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| creator | Lewis, Benjamin T Bate, Matthew R Tricco, Terrence S |
| description | Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e.
smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably
difficult. To implement MHD requires two steps: a modification to the momentum
equation and an induction equation, and both present challenges. We first
provide an overview of how SPMHD is implemented, and then discuss how this
implementation fails and the limitation of various corrective methods - with
particular reference to the effects of particle disorder. Although there are
many problems for which, with careful choice of corrective measures, good
results can be obtained, we then show that, at the very limits of the state of
the art, the ability to perform stable MHD calculations in SPH is curtailed by
numerical issues. |
| doi_str_mv | 10.48550/arxiv.1606.06972 |
| format | Article |
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smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably
difficult. To implement MHD requires two steps: a modification to the momentum
equation and an induction equation, and both present challenges. We first
provide an overview of how SPMHD is implemented, and then discuss how this
implementation fails and the limitation of various corrective methods - with
particular reference to the effects of particle disorder. Although there are
many problems for which, with careful choice of corrective measures, good
results can be obtained, we then show that, at the very limits of the state of
the art, the ability to perform stable MHD calculations in SPH is curtailed by
numerical issues.</description><identifier>DOI: 10.48550/arxiv.1606.06972</identifier><language>eng</language><subject>Physics - Computational Physics ; Physics - Fluid Dynamics ; Physics - Instrumentation and Methods for Astrophysics</subject><creationdate>2016-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1606.06972$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1606.06972$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lewis, Benjamin T</creatorcontrib><creatorcontrib>Bate, Matthew R</creatorcontrib><creatorcontrib>Tricco, Terrence S</creatorcontrib><title>Smoothed Particle Magnetohydrodynamics: A State of the Union</title><description>Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e.
smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably
difficult. To implement MHD requires two steps: a modification to the momentum
equation and an induction equation, and both present challenges. We first
provide an overview of how SPMHD is implemented, and then discuss how this
implementation fails and the limitation of various corrective methods - with
particular reference to the effects of particle disorder. Although there are
many problems for which, with careful choice of corrective measures, good
results can be obtained, we then show that, at the very limits of the state of
the art, the ability to perform stable MHD calculations in SPH is curtailed by
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smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably
difficult. To implement MHD requires two steps: a modification to the momentum
equation and an induction equation, and both present challenges. We first
provide an overview of how SPMHD is implemented, and then discuss how this
implementation fails and the limitation of various corrective methods - with
particular reference to the effects of particle disorder. Although there are
many problems for which, with careful choice of corrective measures, good
results can be obtained, we then show that, at the very limits of the state of
the art, the ability to perform stable MHD calculations in SPH is curtailed by
numerical issues.</abstract><doi>10.48550/arxiv.1606.06972</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Computational Physics Physics - Fluid Dynamics Physics - Instrumentation and Methods for Astrophysics |
| title | Smoothed Particle Magnetohydrodynamics: A State of the Union |
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