{"id":"https://openalex.org/W7128408088","doi":"https://doi.org/10.1007/s00366-026-02272-x","title":"3D Arbitrary Lagrangian\u2013Eulerian approach for multiphase flow with an efficient sharp interface tracking","display_name":"3D Arbitrary Lagrangian\u2013Eulerian approach for multiphase flow with an efficient sharp interface tracking","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7128408088","doi":"https://doi.org/10.1007/s00366-026-02272-x"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-026-02272-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02272-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02272-x.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02272-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034913632","display_name":"Daniele Di Cristofaro","orcid":"https://orcid.org/0000-0002-8677-2866"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Daniele Di Cristofaro","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8677-2866","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032540213","display_name":"Attilio Frangi","orcid":"https://orcid.org/0000-0002-7100-1321"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Attilio Frangi","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050370475","display_name":"Massimiliano Cremonesi","orcid":"https://orcid.org/0000-0001-7885-029X"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Massimiliano Cremonesi","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci, 32, Milano, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034913632"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30834049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.4361000061035156,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.4361000061035156,"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":0.31859999895095825,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.08760000020265579,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.5899999737739563},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.5849000215530396},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5741999745368958},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5512999892234802},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5465999841690063},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.5058000087738037},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.48829999566078186},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.4733000099658966},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45649999380111694},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.41179999709129333}],"concepts":[{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.5899999737739563},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.5849000215530396},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5741999745368958},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5512999892234802},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5465999841690063},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.5058000087738037},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.48829999566078186},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.4733000099658966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45969998836517334},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45649999380111694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.426800012588501},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.41179999709129333},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4043999910354614},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.38510000705718994},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3774000108242035},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.3752000033855438},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36959999799728394},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.3391000032424927},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3352999985218048},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32440000772476196},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3212999999523163},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.30070000886917114},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.2987000048160553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29829999804496765},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.29089999198913574},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2815000116825104},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27489998936653137},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.2612999975681305},{"id":"https://openalex.org/C20138086","wikidata":"https://www.wikidata.org/wiki/Q17103302","display_name":"Material point method","level":3,"score":0.2524000108242035}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00366-026-02272-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02272-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02272-x.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1307272","is_oa":false,"landing_page_url":"https://hdl.handle.net/11311/1307272","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"doi:10.1007/s00366-026-02272-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02272-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02272-x.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324039","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7128408088.pdf"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1524712200","https://openalex.org/W1559581563","https://openalex.org/W1628714285","https://openalex.org/W1863644355","https://openalex.org/W1968577146","https://openalex.org/W1981301099","https://openalex.org/W1985476289","https://openalex.org/W1997909663","https://openalex.org/W1998838008","https://openalex.org/W2005676385","https://openalex.org/W2012063891","https://openalex.org/W2017310369","https://openalex.org/W2035525708","https://openalex.org/W2042484027","https://openalex.org/W2053049736","https://openalex.org/W2055516863","https://openalex.org/W2066737102","https://openalex.org/W2070528777","https://openalex.org/W2077025617","https://openalex.org/W2077229134","https://openalex.org/W2078516923","https://openalex.org/W2084209794","https://openalex.org/W2085961649","https://openalex.org/W2092886188","https://openalex.org/W2093336472","https://openalex.org/W2100897279","https://openalex.org/W2120235449","https://openalex.org/W2144251689","https://openalex.org/W2149087458","https://openalex.org/W2166973641","https://openalex.org/W2336147275","https://openalex.org/W2496364119","https://openalex.org/W2809174943","https://openalex.org/W2891985860","https://openalex.org/W2904931784","https://openalex.org/W2942236906","https://openalex.org/W2994903228","https://openalex.org/W3001839899","https://openalex.org/W3011949136","https://openalex.org/W3020850290","https://openalex.org/W3034982858","https://openalex.org/W3037824933","https://openalex.org/W3093164126","https://openalex.org/W3152357879","https://openalex.org/W3159595590","https://openalex.org/W3209746714","https://openalex.org/W3214997270","https://openalex.org/W4214490774","https://openalex.org/W4306737079","https://openalex.org/W4380758672","https://openalex.org/W4381162148","https://openalex.org/W4387503445","https://openalex.org/W4402748794","https://openalex.org/W4410859080"],"related_works":[],"abstract_inverted_index":{"Multiphase":[0],"flow":[1],"phenomena":[2],"present":[3],"a":[4,91,98,115,148,159,167],"significant":[5],"challenge":[6],"due":[7],"to":[8,73,173,195],"their":[9],"highly":[10],"variable":[11,131],"nature":[12],"and":[13,25,66,108,166,190,199,211],"the":[14,30,61,76,82,119,138,152,156,178,183,186,197,202,221,224],"interaction":[15],"between":[16,32,118],"multiple":[17],"phases,":[18],"which":[19,134],"are":[20,88,111,193],"characterised":[21],"by":[22,150],"different":[23],"temporal":[24],"spatial":[26],"scales.":[27],"In":[28],"particular,":[29],"interfaces":[31],"fluids":[33],"require":[34],"accurate":[35],"modelling":[36],"as":[37],"they":[38],"may":[39],"undergo":[40],"complex":[41],"evolution":[42],"and,":[43],"eventually,":[44],"topological":[45],"changes.":[46],"This":[47],"paper":[48],"proposes":[49],"an":[50,128],"advanced":[51],"numerical":[52,191,204],"method":[53],"for":[54],"simulating":[55],"three-dimensional,":[56],"immiscible,":[57],"two-phase":[58],"flows,":[59],"where":[60],"interface":[62,102,117,209],"surface":[63,67],"is":[64,69,103,132,135,145,171],"well-defined":[65],"tension":[68],"neglected,":[70],"in":[71,177,206,220],"order":[72],"focus":[74],"on":[75,163],"discontinuity":[77],"of":[78,185,201,223],"physical":[79,109],"properties":[80,110],"across":[81],"interface.":[83,157,226],"The":[84,101,141],"incompressible":[85],"Navier\u2013Stokes":[86],"equations":[87],"solved":[89],"using":[90,105],"Finite":[92],"Element":[93],"Arbitrary":[94],"Lagrangian\u2013Eulerian":[95],"framework":[96],"with":[97],"one-fluid":[99],"formulation.":[100],"tracked":[104],"Lagrangian":[106],"nodes,":[107],"assigned":[112],"element-wise,":[113],"assuming":[114],"sharp":[116],"two":[120],"distinct":[121],"fluids.":[122],"To":[123],"capture":[124],"pressure":[125,130,143,213],"jump":[126],"discontinuities,":[127],"auxiliary":[129],"introduced,":[133],"continuous":[136],"throughout":[137],"entire":[139],"domain.":[140],"actual":[142],"field":[144],"then":[146],"reconstructed":[147],"posteriori":[149],"evaluating":[151],"boundary":[153],"conditions":[154],"at":[155],"Finally,":[158],"remeshing":[160],"algorithm":[161],"based":[162],"connectivity":[164],"manipulation":[165],"local":[168],"refinement":[169],"procedure":[170],"implemented":[172],"reduce":[174],"element":[175],"distortion":[176],"fluid":[179],"mesh,":[180],"thereby":[181],"increasing":[182],"accuracy":[184,198],"solution.":[187],"Several":[188],"analytical":[189],"benchmarks":[192],"presented":[194],"evaluate":[196],"reliability":[200],"proposed":[203],"scheme":[205],"handling":[207],"large":[208],"deformations":[210],"strong":[212],"jumps,":[214],"without":[215],"requiring":[216],"extremely":[217],"refined":[218],"meshes":[219],"vicinity":[222],"two-fluid":[225]},"counts_by_year":[],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2026-02-10T00:00:00"}