{"id":"https://openalex.org/W4407475741","doi":"https://doi.org/10.1090/mcom/4078","title":"A variational front-tracking method for multiphase flow with triple junctions","display_name":"A variational front-tracking method for multiphase flow with triple junctions","publication_year":2025,"publication_date":"2025-02-13","ids":{"openalex":"https://openalex.org/W4407475741","doi":"https://doi.org/10.1090/mcom/4078"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4078","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4078","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11572/449190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071758656","display_name":"Harald Garcke","orcid":"https://orcid.org/0000-0001-5235-2073"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Harald Garcke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036622790","display_name":"Robert N\u00fcrnberg","orcid":"https://orcid.org/0000-0002-2489-2416"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert N\u00fcrnberg","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002443310","display_name":"Quan Zhao","orcid":"https://orcid.org/0000-0002-3131-6863"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Quan Zhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"95","issue":"358","first_page":"647","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9886000156402588,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9886000156402588,"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/T12537","display_name":"Flow Measurement and Analysis","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10864","display_name":"Fluid Dynamics and Mixing","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.6644575595855713},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.654296338558197},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5480960011482239},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.5383329391479492},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4337313175201416},{"id":"https://openalex.org/keywords/triple-junction","display_name":"Triple junction","score":0.42084527015686035},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4080774784088135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33071368932724},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3250393867492676},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.12484118342399597},{"id":"https://openalex.org/keywords/geophysics","display_name":"Geophysics","score":0.08804884552955627},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.070248544216156}],"concepts":[{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.6644575595855713},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.654296338558197},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5480960011482239},{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.5383329391479492},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4337313175201416},{"id":"https://openalex.org/C2778282194","wikidata":"https://www.wikidata.org/wiki/Q1199041","display_name":"Triple junction","level":2,"score":0.42084527015686035},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4080774784088135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33071368932724},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3250393867492676},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.12484118342399597},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.08804884552955627},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.070248544216156},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/4078","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4078","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:iris.unitn.it:11572/449190","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/449190","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of 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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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:iris.unitn.it:11572/449190","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/449190","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of 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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4600818604","display_name":null,"funder_award_id":"12401572","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G797511274","display_name":null,"funder_award_id":"12401572","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2057698253","https://openalex.org/W3180409838","https://openalex.org/W3207200475","https://openalex.org/W1967405776","https://openalex.org/W2119480901","https://openalex.org/W2026661705","https://openalex.org/W2030013502","https://openalex.org/W2028584761","https://openalex.org/W1991849360","https://openalex.org/W1989436830"],"abstract_inverted_index":{"We":[0,89,114],"present":[1],"and":[2,46,78,86,106,134,185,194],"analyze":[3],"a":[4,9,53,91,99,125],"variational":[5],"front-tracking":[6],"method":[7,146,163],"for":[8,94,102,110,170,176,182],"sharp-interface":[10],"model":[11,58],"of":[12,119,136,154,196],"multiphase":[13],"flow.":[14],"The":[15,57,144],"fluid":[16,76],"interfaces":[17,44,105],"between":[18],"different":[19],"phases":[20],"are":[21,188],"represented":[22],"by":[23,61],"curve":[24],"networks":[25],"in":[26,34,66,152],"two":[27],"space":[28,36],"dimensions":[29,37],"(2d)":[30],"or":[31],"surface":[32],"clusters":[33],"three":[35,43],"(3d)":[38],"with":[39,70],"triple":[40,84],"junctions":[41,85],"where":[42,49,131],"meet,":[45],"boundary":[47,80,87],"points/lines":[48],"an":[50,107,116,148,166],"interface":[51,72],"meets":[52],"fixed":[54],"planar":[55],"boundary.":[56],"is":[59],"described":[60],"the":[62,67,75,83,95,103,111,120,132,155,161,177,192,197],"incompressible":[63],"Navier\u2013Stokes":[64],"equations":[65],"bulk":[68,112],"domains,":[69],"classical":[71],"conditions":[73,81],"on":[74],"interfaces,":[77],"appropriate":[79],"at":[82],"points/lines.":[88],"propose":[90],"weak":[92,142],"formulation":[93,101,109,122],"model,":[96],"which":[97],"combines":[98],"parametric":[100],"evolving":[104],"Eulerian":[108],"equations.":[113],"employ":[115],"unfitted":[117],"discretization":[118],"coupled":[121],"to":[123,190],"obtain":[124],"fully":[126],"discrete":[127,156,178],"finite":[128],"element":[129],"method,":[130],"existence":[133],"uniqueness":[135],"solutions":[137],"can":[138,173],"be":[139,174],"shown":[140],"under":[141],"assumptions.":[143],"constructed":[145],"admits":[147],"unconditional":[149],"stability":[150],"result":[151],"terms":[153],"energy.":[157],"Furthermore,":[158],"we":[159],"adapt":[160],"introduced":[162,198],"so":[164],"that":[165],"exact":[167],"volume":[168],"preservation":[169],"each":[171],"phase":[172],"achieved":[175],"solutions.":[179],"Numerical":[180],"examples":[181],"three-phase":[183],"flow":[184,187],"four-phase":[186],"presented":[189],"show":[191],"robustness":[193],"accuracy":[195],"methods.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}