{"id":"https://openalex.org/W4317837860","doi":"https://doi.org/10.1137/22m147815x","title":"A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics","display_name":"A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics","publication_year":2023,"publication_date":"2023-02-22","ids":{"openalex":"https://openalex.org/W4317837860","doi":"https://doi.org/10.1137/22m147815x"},"language":"en","primary_location":{"id":"doi:10.1137/22m147815x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m147815x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2301.08282","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071843670","display_name":"Saray Busto","orcid":"https://orcid.org/0000-0002-6509-4269"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Saray Busto","raw_affiliation_strings":["Department of Applied Mathematics I, Universidade de Vigo, Campus As Lagoas, 36310 Vigo, Spain",") Department of Applied Mathematics I, Universidade de Vigo, Campus As Lagoas, 36310 Vigo, Spain ("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics I, Universidade de Vigo, Campus As Lagoas, 36310 Vigo, Spain","institution_ids":[]},{"raw_affiliation_string":") Department of Applied Mathematics I, Universidade de Vigo, Campus As Lagoas, 36310 Vigo, Spain (","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051559583","display_name":"Michael Dumbser","orcid":"https://orcid.org/0000-0002-8201-8372"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michael Dumbser","raw_affiliation_strings":["Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, 38123 Trento, Italy",") Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, 38123 Trento, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, 38123 Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":") Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, 38123 Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071843670"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":null,"apc_paid":null,"fwci":3.7227,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93770231,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"61","issue":"1","first_page":"343","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.7292025685310364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7202141880989075},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7032768726348877},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.681755781173706},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6375933289527893},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.527611494064331},{"id":"https://openalex.org/keywords/overdetermined-system","display_name":"Overdetermined system","score":0.4722922444343567},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4619373083114624},{"id":"https://openalex.org/keywords/godunovs-scheme","display_name":"Godunov's scheme","score":0.4337085783481598},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40740248560905457},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3068139851093292},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.2000715434551239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19561895728111267},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09157019853591919},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08686527609825134}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7292025685310364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7202141880989075},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7032768726348877},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.681755781173706},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6375933289527893},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.527611494064331},{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.4722922444343567},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4619373083114624},{"id":"https://openalex.org/C146705398","wikidata":"https://www.wikidata.org/wiki/Q4291826","display_name":"Godunov's scheme","level":3,"score":0.4337085783481598},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40740248560905457},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3068139851093292},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.2000715434551239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19561895728111267},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09157019853591919},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08686527609825134},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m147815x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m147815x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2301.08282","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2301.08282","pdf_url":"https://arxiv.org/pdf/2301.08282","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:iris.unitn.it:11572/388529","is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/388529","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2301.08282","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2301.08282","pdf_url":"https://arxiv.org/pdf/2301.08282","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":[{"id":"https://openalex.org/G3422143364","display_name":null,"funder_award_id":"PRIN 2017","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320322275","display_name":"Universit\u00e0 degli Studi di Trento","ror":"https://ror.org/05trd4x28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W586094368","https://openalex.org/W912249945","https://openalex.org/W1093977366","https://openalex.org/W1965709909","https://openalex.org/W1971166309","https://openalex.org/W1974523068","https://openalex.org/W1976429884","https://openalex.org/W1983402014","https://openalex.org/W1983521926","https://openalex.org/W1985715533","https://openalex.org/W1990596161","https://openalex.org/W1991105160","https://openalex.org/W1998887941","https://openalex.org/W2017125337","https://openalex.org/W2031208469","https://openalex.org/W2035626186","https://openalex.org/W2041983391","https://openalex.org/W2044328164","https://openalex.org/W2057583810","https://openalex.org/W2057897500","https://openalex.org/W2074800504","https://openalex.org/W2094818681","https://openalex.org/W2145495234","https://openalex.org/W2150323068","https://openalex.org/W2315003428","https://openalex.org/W2340680806","https://openalex.org/W2342863781","https://openalex.org/W2400738778","https://openalex.org/W2591937896","https://openalex.org/W2614749877","https://openalex.org/W2736789745","https://openalex.org/W2767622249","https://openalex.org/W2768176009","https://openalex.org/W2768666336","https://openalex.org/W2784521547","https://openalex.org/W2807699221","https://openalex.org/W2979908328","https://openalex.org/W3013999718","https://openalex.org/W3094390641","https://openalex.org/W3124126614","https://openalex.org/W3137106448","https://openalex.org/W3140478212","https://openalex.org/W3166647868","https://openalex.org/W4205236375","https://openalex.org/W4249706848","https://openalex.org/W4251117213","https://openalex.org/W4256320340","https://openalex.org/W4283695136","https://openalex.org/W4403628544"],"related_works":["https://openalex.org/W632617093","https://openalex.org/W2364357611","https://openalex.org/W3144960475","https://openalex.org/W2111445914","https://openalex.org/W1605835090","https://openalex.org/W4231519251","https://openalex.org/W2043057066","https://openalex.org/W1569557351","https://openalex.org/W2029836409","https://openalex.org/W1803491023"],"abstract_inverted_index":{"In":[0,71,198],"this":[1,115,233],"paper":[2,116,234],"we":[3],"propose":[4],"a":[5,72,84,97,103,153,173,214],"novel":[6],"thermodynamically":[7,45,157,216],"compatible":[8,46,158,217],"finite":[9,169],"volume":[10,170],"scheme":[11,171,230],"for":[12],"the":[13,17,34,51,58,64,80,120,125,131,136,156,167,189,194,202,206,229],"numerical":[14],"solution":[15],"of":[16,19,60,69,107,114,135,155,160,205,228],"equations":[18,53],"magnetohydrodynamics":[20],"(MHD)":[21],"in":[22,32,57,188,232,250,259],"one":[23,251],"and":[24,44,62,66,88,180,252],"two":[25,253],"space":[26,200,254],"dimensions.":[27],"As":[28,165],"shown":[29,94],"by":[30,128],"Godunov":[31],"1972,":[33],"MHD":[35,52,247],"system":[36],"can":[37,92,181],"be":[38,93,96,182,185],"written":[39],"as":[40,152],"overdetermined":[41],"symmetric":[42,55],"hyperbolic":[43,56],"(SHTC)":[47],"system.":[48],"More":[49],"precisely,":[50],"are":[54,235],"sense":[59],"Friedrichs":[61],"satisfy":[63],"first":[65],"second":[67],"principles":[68],"thermodynamics.":[70],"more":[73],"recent":[74],"work":[75],"on":[76,124],"SHTC":[77,121],"systems,":[78],"\\cite{Rom1998},":[79],"entropy":[81,176],"density":[82],"is":[83,100,117,145,209,242],"primary":[85],"evolution":[86,110,163],"variable,":[87],"total":[89,137,142],"energy":[90,138,143,190,196],"conservation":[91,139,144],"to":[95,118,184,193,244],"\\textit{consequence}":[98,154],"that":[99],"obtained":[101,146],"after":[102],"judicious":[104],"linear":[105,150],"combination":[106,151],"all":[108,161,260],"other":[109,162],"equations.":[111,164],"The":[112,225,239],"objective":[113],"mimic":[119],"framework":[122],"also":[123],"discrete":[126,174,195],"level":[127],"directly":[129],"discretizing":[130],"\\textit{entropy":[132],"inequality},":[133],"instead":[134],"law,":[140],"while":[141],"via":[147,213],"an":[148],"appropriate":[149],"discretization":[159],"such,":[166],"proposed":[168,231],"satisfies":[172],"cell":[175],"inequality":[177],"\\textit{by":[178],"construction}":[179],"proven":[183],"nonlinearly":[186],"stable":[187],"norm":[191],"due":[192],"conservation.":[197],"multiple":[199],"dimensions":[201],"divergence-free":[203],"condition":[204],"magnetic":[207],"field":[208],"taken":[210],"into":[211],"account":[212],"new":[215,240],"generalized":[218],"Lagrangian":[219],"multiplier":[220],"(GLM)":[221],"divergence":[222],"cleaning":[223],"approach.":[224],"fundamental":[226],"properties":[227],"mathematically":[236],"rigorously":[237],"proven.":[238],"method":[241],"applied":[243],"some":[245],"standard":[246],"benchmark":[248],"problems":[249],"dimensions,":[255],"obtaining":[256],"good":[257],"results":[258],"cases.":[261]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2023-01-24T00:00:00"}