{"id":"https://openalex.org/W7212263281","doi":"https://doi.org/10.48550/arxiv.2609.10849","title":"Structure-preserving operator splitting for 2.5D ideal MHD with an entropy-stable DGSEM and exactly divergence-free compatible finite elements","display_name":"Structure-preserving operator splitting for 2.5D ideal MHD with an entropy-stable DGSEM and exactly divergence-free compatible finite elements","publication_year":2026,"publication_date":"2026-09-09","ids":{"openalex":"https://openalex.org/W7212263281","doi":"https://doi.org/10.48550/arxiv.2609.10849"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.10849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10849","pdf_url":"https://arxiv.org/pdf/2609.10849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.10849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153479189","display_name":"Siyuan Fan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fan, Siyuan","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics , University of Notre Dame , Notre Dame , IN 46556 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics , University of Notre Dame , Notre Dame , IN 46556 , USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000943631","display_name":"Guosheng Fu","orcid":"https://orcid.org/0000-0002-4578-924X","observed_orcids":["https://orcid.org/0000-0002-4578-924X"]},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fu, Guosheng","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics , University of Notre Dame , Notre Dame , IN 46556 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics , University of Notre Dame , Notre Dame , IN 46556 , USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.8945000171661377,"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":0.8945000171661377,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0982000008225441,"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ideal-magnetohydrodynamics","display_name":"ideal magnetohydrodynamics","score":0.953000009059906},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"operator splitting","score":0.8029999732971191},{"id":"https://openalex.org/keywords/strang-splitting","display_name":"Strang splitting","score":0.8809999823570251},{"id":"https://openalex.org/keywords/divergence-free-magnetic-field","display_name":"divergence-free magnetic field","score":0.7379999756813049},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.4259999990463257},{"id":"https://openalex.org/keywords/positivity-preserving-limiter","display_name":"positivity-preserving limiter","score":0.7940000295639038},{"id":"https://openalex.org/keywords/alfven-waves","display_name":"Alfv\u00e9n waves","score":0.7319999933242798},{"id":"https://openalex.org/keywords/kelvin-helmholtz-instability","display_name":"Kelvin-Helmholtz instability","score":0.8429999947547913},{"id":"https://openalex.org/keywords/rotor-flow-field","display_name":"rotor flow","score":0.4180000126361847},{"id":"https://openalex.org/keywords/velocity-filtering","display_name":"velocity filtering","score":0.34299999475479126}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7907000184059143},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.626800000667572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5715000033378601},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5489000082015991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49459999799728394},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4814999997615814},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.46470001339912415},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.4383000135421753},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.42080000042915344},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4117000102996826},{"id":"https://openalex.org/C65494353","wikidata":"https://www.wikidata.org/wiki/Q180241","display_name":"Internal energy","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.3901999890804291},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.3889999985694885},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.38609999418258667},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.38519999384880066},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37439998984336853},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.36880001425743103},{"id":"https://openalex.org/C162565982","wikidata":"https://www.wikidata.org/wiki/Q3725254","display_name":"Magnetic energy","level":4,"score":0.3467000126838684},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C30342001","wikidata":"https://www.wikidata.org/wiki/Q172280","display_name":"Ideal gas","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.25360000133514404},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.10849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10849","pdf_url":"https://arxiv.org/pdf/2609.10849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2609.10849","doi":"https://doi.org/10.48550/arxiv.2609.10849","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.10849","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.10849","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10849","pdf_url":"https://arxiv.org/pdf/2609.10849","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4548481785","display_name":"Collaborative Research: Energetic Variation Based Numerical Studies in Complex Fluids with Thermo-Chemo-Mechanical Effects","funder_award_id":"2410741","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212263281.pdf","grobid_xml":"https://content.openalex.org/works/W7212263281.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W1603553402","https://openalex.org/W1965920509","https://openalex.org/W1990596161","https://openalex.org/W1999105805","https://openalex.org/W2008046188","https://openalex.org/W2034154296","https://openalex.org/W2041379442","https://openalex.org/W2049068370","https://openalex.org/W2049161806","https://openalex.org/W2057897500","https://openalex.org/W2062618977","https://openalex.org/W2063900474","https://openalex.org/W2070234115","https://openalex.org/W2072226973","https://openalex.org/W2078033075","https://openalex.org/W2085518726","https://openalex.org/W2094818681","https://openalex.org/W2107868963","https://openalex.org/W2116091257","https://openalex.org/W2177309472","https://openalex.org/W2329498394","https://openalex.org/W2343405662","https://openalex.org/W2362126608","https://openalex.org/W2409693504","https://openalex.org/W2787270748","https://openalex.org/W2805719800","https://openalex.org/W2806965604","https://openalex.org/W2897418613","https://openalex.org/W2949414414","https://openalex.org/W2963223354","https://openalex.org/W3040786754","https://openalex.org/W3160041104","https://openalex.org/W4210760027","https://openalex.org/W4385455671","https://openalex.org/W4386800264","https://openalex.org/W4391069408","https://openalex.org/W4394859005","https://openalex.org/W4399623780","https://openalex.org/W4406944049","https://openalex.org/W4408186604","https://openalex.org/W4413385113","https://openalex.org/W7130700557","https://openalex.org/W7157177700","https://openalex.org/W7160834145","https://openalex.org/W7204874283"],"related_works":["https://openalex.org/W6979292480","https://openalex.org/W2941283721","https://openalex.org/W4382706123","https://openalex.org/W2805719800","https://openalex.org/W4391132189","https://openalex.org/W4395065759","https://openalex.org/W4394859005","https://openalex.org/W3087831223","https://openalex.org/W2767622249","https://openalex.org/W2788238611"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,34,77,101,111,117],"high-order,":[3],"fully":[4],"explicit":[5],"operator-splitting":[6],"method":[7,27],"for":[8,169],"2.5D":[9],"ideal":[10,65],"magnetohydrodynamics":[11],"on":[12,129],"Cartesian":[13],"meshes.":[14],"The":[15,37,105],"hydrodynamic":[16],"subflow":[17,39],"is":[18],"advanced":[19],"by":[20,110],"an":[21,138],"entropy-stable":[22],"discontinuous":[23],"Galerkin":[24],"spectral":[25],"element":[26],"equipped":[28],"with":[29],"stagewise":[30],"oscillation":[31],"elimination":[32],"and":[33,44,50,70,76,84,99,126,134,151,163,173],"positivity-preserving":[35],"limiter.":[36],"magnetic--velocity":[38],"uses":[40],"compatible":[41],"finite":[42],"elements":[43],"mass-lumped":[45],"reconstructions":[46],"of":[47],"electric":[48],"field":[49],"current":[51],"density.":[52],"Its":[53],"discrete-curl":[54],"update":[55],"exactly":[56],"preserves":[57,95,155],"the":[58,64,91,143,184],"global":[59,122],"$H(\\mathrm{div})$":[60],"divergence-free":[61],"subspace,":[62],"while":[63,182],"semidiscretization":[66],"balances":[67],"kinetic,":[68],"magnetic,":[69],"internal":[71,88,97],"energy.":[72],"Curl-form":[73],"artificial":[74,176],"resistivity":[75,177],"direction-resolved":[78],"velocity":[79],"filter":[80],"return":[81],"removed":[82],"magnetic":[83,93,127,144,180],"kinetic":[85],"energy":[86,98],"to":[87],"energy;":[89],"consequently,":[90],"stabilized":[92],"stage":[94],"positive":[96],"satisfies":[100],"discrete":[102],"entropy":[103],"inequality.":[104],"two":[106],"solvers":[107],"are":[108],"composed":[109],"second-order":[112,148],"hydrodynamic--magnetic--hydrodynamic":[113],"Strang":[114],"splitting,":[115],"yielding":[116],"matrix-free":[118],"scheme":[119],"that":[120,153,175],"retains":[121],"mass,":[123],"nodal":[124],"admissibility,":[125],"divergence":[128],"accepted":[130],"steps.":[131],"Smooth":[132],"Alfv\u00e9n-wave":[133],"advected-vortex":[135],"tests":[136],"reveal":[137],"even--odd":[139],"convergence":[140],"pattern":[141],"in":[142],"polynomial":[145],"degree,":[146],"verify":[147],"temporal":[149],"accuracy,":[150],"show":[152,174],"stabilization":[154],"high-order":[156],"accuracy.":[157],"Field-loop,":[158],"Orszag--Tang,":[159],"rotor,":[160],"MHD":[161],"blast-wave,":[162],"Kelvin--Helmholtz":[164],"calculations":[165],"demonstrate":[166],"robust":[167],"performance":[168],"nonsmooth":[170],"multidimensional":[171],"flows":[172],"suppresses":[178],"grid-scale":[179],"oscillations":[181],"retaining":[183],"resolved":[185],"structures.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}
