A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations
We present a new multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations. This scheme relies on relaxation and splitting techniques and can be easily used at high order. A fully conservative version is not entropy satisfying but is observed experimentally to be...
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| creator | Tremblin, Pascal Bourgeois, Rémi Bulteau, Solène Kokh, Samuel Padioleau, Thomas Delorme, Maxime Strugarek, Antoine González, Matthias Brun, Allan Sacha |
| description | We present a new multi-dimensional, robust, and cell-centered finite-volume
scheme for the ideal MHD equations. This scheme relies on relaxation and
splitting techniques and can be easily used at high order. A fully conservative
version is not entropy satisfying but is observed experimentally to be more
robust than standard constrained transport schemes at low plasma beta. At very
low plasma beta and high Alfv\'en number, we have designed an
entropy-satisfying version that is not conservative for the magnetic field but
preserves admissible states and we switch locally a-priori between the two
versions depending on the regime of plasma beta and Alfv\'en number. This
strategy is robust in a wide range of standard MHD test cases, all performed at
second order with a classic MUSCL-Hancock scheme. |
| doi_str_mv | 10.48550/arxiv.2409.14992 |
| format | Article |
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scheme for the ideal MHD equations. This scheme relies on relaxation and
splitting techniques and can be easily used at high order. A fully conservative
version is not entropy satisfying but is observed experimentally to be more
robust than standard constrained transport schemes at low plasma beta. At very
low plasma beta and high Alfv\'en number, we have designed an
entropy-satisfying version that is not conservative for the magnetic field but
preserves admissible states and we switch locally a-priori between the two
versions depending on the regime of plasma beta and Alfv\'en number. This
strategy is robust in a wide range of standard MHD test cases, all performed at
second order with a classic MUSCL-Hancock scheme.</description><identifier>DOI: 10.48550/arxiv.2409.14992</identifier><language>eng</language><subject>Physics - Computational Physics ; Physics - Instrumentation and Methods for Astrophysics ; Physics - Plasma Physics</subject><creationdate>2024-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2409.14992$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2409.14992$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tremblin, Pascal</creatorcontrib><creatorcontrib>Bourgeois, Rémi</creatorcontrib><creatorcontrib>Bulteau, Solène</creatorcontrib><creatorcontrib>Kokh, Samuel</creatorcontrib><creatorcontrib>Padioleau, Thomas</creatorcontrib><creatorcontrib>Delorme, Maxime</creatorcontrib><creatorcontrib>Strugarek, Antoine</creatorcontrib><creatorcontrib>González, Matthias</creatorcontrib><creatorcontrib>Brun, Allan Sacha</creatorcontrib><title>A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations</title><description>We present a new multi-dimensional, robust, and cell-centered finite-volume
scheme for the ideal MHD equations. This scheme relies on relaxation and
splitting techniques and can be easily used at high order. A fully conservative
version is not entropy satisfying but is observed experimentally to be more
robust than standard constrained transport schemes at low plasma beta. At very
low plasma beta and high Alfv\'en number, we have designed an
entropy-satisfying version that is not conservative for the magnetic field but
preserves admissible states and we switch locally a-priori between the two
versions depending on the regime of plasma beta and Alfv\'en number. This
strategy is robust in a wide range of standard MHD test cases, all performed at
second order with a classic MUSCL-Hancock scheme.</description><subject>Physics - Computational Physics</subject><subject>Physics - Instrumentation and Methods for Astrophysics</subject><subject>Physics - Plasma Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzrsOgjAYhuEuDka9ACf_C6AICImMxkNY3NybSn9Ckx60B6J3LxJ3p3f58uUhZJ1nabmvqmzL3UsOaVFmdZqXdV3MCTuAjipIKqRG46U1XCXg7D36kAA3AlpUirZoAjoU0EkjA9LBqqgRfNvjmM46CD2CFMgVXJsT4DPyMJ75JZl1XHlc_bogm8v5dmzoRGEPJzV3b_YlsYm0-7_4AOoHQco</recordid><startdate>20240923</startdate><enddate>20240923</enddate><creator>Tremblin, Pascal</creator><creator>Bourgeois, Rémi</creator><creator>Bulteau, Solène</creator><creator>Kokh, Samuel</creator><creator>Padioleau, Thomas</creator><creator>Delorme, Maxime</creator><creator>Strugarek, Antoine</creator><creator>González, Matthias</creator><creator>Brun, Allan Sacha</creator><scope>GOX</scope></search><sort><creationdate>20240923</creationdate><title>A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations</title><author>Tremblin, Pascal ; Bourgeois, Rémi ; Bulteau, Solène ; Kokh, Samuel ; Padioleau, Thomas ; Delorme, Maxime ; Strugarek, Antoine ; González, Matthias ; Brun, Allan Sacha</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2409_149923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - Computational Physics</topic><topic>Physics - Instrumentation and Methods for Astrophysics</topic><topic>Physics - Plasma Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Tremblin, Pascal</creatorcontrib><creatorcontrib>Bourgeois, Rémi</creatorcontrib><creatorcontrib>Bulteau, Solène</creatorcontrib><creatorcontrib>Kokh, Samuel</creatorcontrib><creatorcontrib>Padioleau, Thomas</creatorcontrib><creatorcontrib>Delorme, Maxime</creatorcontrib><creatorcontrib>Strugarek, Antoine</creatorcontrib><creatorcontrib>González, Matthias</creatorcontrib><creatorcontrib>Brun, Allan Sacha</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tremblin, Pascal</au><au>Bourgeois, Rémi</au><au>Bulteau, Solène</au><au>Kokh, Samuel</au><au>Padioleau, Thomas</au><au>Delorme, Maxime</au><au>Strugarek, Antoine</au><au>González, Matthias</au><au>Brun, Allan Sacha</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations</atitle><date>2024-09-23</date><risdate>2024</risdate><abstract>We present a new multi-dimensional, robust, and cell-centered finite-volume
scheme for the ideal MHD equations. This scheme relies on relaxation and
splitting techniques and can be easily used at high order. A fully conservative
version is not entropy satisfying but is observed experimentally to be more
robust than standard constrained transport schemes at low plasma beta. At very
low plasma beta and high Alfv\'en number, we have designed an
entropy-satisfying version that is not conservative for the magnetic field but
preserves admissible states and we switch locally a-priori between the two
versions depending on the regime of plasma beta and Alfv\'en number. This
strategy is robust in a wide range of standard MHD test cases, all performed at
second order with a classic MUSCL-Hancock scheme.</abstract><doi>10.48550/arxiv.2409.14992</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Computational Physics Physics - Instrumentation and Methods for Astrophysics Physics - Plasma Physics |
| title | A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations |
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