{"id":"https://openalex.org/W2810029884","doi":"https://doi.org/10.1137/18m1194225","title":"Numerical Treatment of the Nonconservative Product in a Multiscale Fluid Model for Plasmas in Thermal Nonequilibrium: Application to Solar Physics","display_name":"Numerical Treatment of the Nonconservative Product in a Multiscale Fluid Model for Plasmas in Thermal Nonequilibrium: Application to Solar Physics","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2810029884","doi":"https://doi.org/10.1137/18m1194225","mag":"2810029884"},"language":"en","primary_location":{"id":"doi:10.1137/18m1194225","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1194225","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1806.10436","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Quentin Wargnier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Quentin Wargnier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Sylvain Faure","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sylvain Faure","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Benjamin Graille","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benjamin Graille","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Thierry Magin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thierry Magin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Marc Massot","orcid":"https://orcid.org/0000-0001-8823-7667"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marc Massot","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8823-7667","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5324,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66858225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"42","issue":"2","first_page":"B492","last_page":"B519"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.38109999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.38109999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":0.30079999566078186,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.12020000070333481,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/numerical-diffusion","display_name":"Numerical diffusion","score":0.6151000261306763},{"id":"https://openalex.org/keywords/shock-wave","display_name":"Shock wave","score":0.5245000123977661},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.48420000076293945},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.46320000290870667},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.46239998936653137},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43880000710487366},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.43869999051094055},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.40860000252723694},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.39579999446868896}],"concepts":[{"id":"https://openalex.org/C148444096","wikidata":"https://www.wikidata.org/wiki/Q7069655","display_name":"Numerical diffusion","level":2,"score":0.6151000261306763},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5763000249862671},{"id":"https://openalex.org/C70477161","wikidata":"https://www.wikidata.org/wiki/Q190688","display_name":"Shock wave","level":2,"score":0.5245000123977661},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5016999840736389},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.48420000076293945},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.46320000290870667},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4481000006198883},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43880000710487366},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.40860000252723694},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4018000066280365},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.40070000290870667},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.39579999446868896},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3488999903202057},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.3433000147342682},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C106933524","wikidata":"https://www.wikidata.org/wiki/Q190003","display_name":"Chromosphere","level":3,"score":0.32510000467300415},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.2976999878883362},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C183682340","wikidata":"https://www.wikidata.org/wiki/Q2043698","display_name":"Solar physics","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.2531000077724457}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/18m1194225","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1194225","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1806.10436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.10436","pdf_url":"https://arxiv.org/pdf/1806.10436","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01811837v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01811837","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2020, 42 (2), pp.B492-B519. ⟨10.1137/18M1194225⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1806.10436","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.10436","pdf_url":"https://arxiv.org/pdf/1806.10436","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320915","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052"},{"id":"https://openalex.org/F4320324252","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1967446638","https://openalex.org/W1971166309","https://openalex.org/W1980653915","https://openalex.org/W1981198157","https://openalex.org/W1987040980","https://openalex.org/W1990539468","https://openalex.org/W1997138454","https://openalex.org/W2002739300","https://openalex.org/W2011525140","https://openalex.org/W2027601021","https://openalex.org/W2033421818","https://openalex.org/W2049161806","https://openalex.org/W2064376684","https://openalex.org/W2068650655","https://openalex.org/W2082961961","https://openalex.org/W2090929680","https://openalex.org/W2091307765","https://openalex.org/W2093702233","https://openalex.org/W2094898651","https://openalex.org/W2134803322","https://openalex.org/W2144144709","https://openalex.org/W2150325911","https://openalex.org/W2292078509","https://openalex.org/W2346206250","https://openalex.org/W2547588125","https://openalex.org/W2585248368","https://openalex.org/W2673414006","https://openalex.org/W2901425581"],"related_works":[],"abstract_inverted_index":{"This":[0],"contribution":[1],"deals":[2],"with":[3,109],"the":[4,24,27,32,42,53,80,86,95,100,105,110,116,145,160,166],"modeling":[5],"of":[6,26,35,47,88,102,147],"collisional":[7],"multicomponent":[8],"magnetized":[9],"plasmas":[10],"in":[11,23,52,73,85,104,115,144,164],"thermal":[12],"and":[13,19,67,122,168],"chemical":[14],"nonequilibrium":[15],"aiming":[16],"at":[17],"simulating":[18],"predicting":[20],"magnetic":[21],"reconnections":[22],"chromosphere":[25],"sun.":[28],"We":[29],"focus":[30],"on":[31,44,63],"numerical":[33,71,96,140],"simulation":[34],"a":[36,48,125,148],"simplified":[37],"fluid":[38],"model":[39,117],"to":[40,75,158],"investigate":[41],"influence":[43],"shock":[45],"solutions":[46,66,163],"nonconservative":[49],"product":[50],"present":[51],"electron":[54,106],"energy":[55],"equation.":[56],"Then,":[57],"we":[58],"derive":[59],"jump":[60],"conditions":[61],"based":[62],"traveling":[64,161],"wave":[65,162],"propose":[68],"an":[69],"original":[70],"treatment":[72],"order":[74],"avoid":[76],"nonphysical":[77],"shocks":[78],"for":[79,94],"solution":[81],"that":[82],"remains":[83],"valid":[84],"case":[87],"coarse-resolution":[89],"simulations.":[90],"A":[91],"key":[92],"element":[93],"scheme":[97],"proposed":[98],"is":[99,142,156],"presence":[101],"diffusion":[103],"variables,":[107],"consistent":[108],"physically":[111],"sound":[112],"scaling":[113],"used":[114],"developed":[118],"by":[119],"Graille,":[120],"Magin,":[121],"Massot":[123],"following":[124],"multiscale":[126],"Chapman--Enskog":[127],"expansion":[128],"method":[129,155],"[Math.":[130],"Models":[131],"Methods":[132],"Appl.":[133],"Sci.,":[134],"19":[135],"(2009),":[136],"pp.":[137],"527--599].":[138],"The":[139,153],"strategy":[141],"assessed":[143],"framework":[146],"solar":[149],"physics":[150],"test":[151],"case.":[152],"computational":[154],"able":[157],"capture":[159],"both":[165],"highly-":[167],"coarsely":[169],"resolved":[170],"cases.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2018-07-10T00:00:00"}