{"id":"https://openalex.org/W4407208937","doi":"https://doi.org/10.48550/arxiv.2502.02712","title":"Implementation of integral surface tension formulations in a volume of fluid framework and their applications to Marangoni flows","display_name":"Implementation of integral surface tension formulations in a volume of fluid framework and their applications to Marangoni flows","publication_year":2025,"publication_date":"2025-02-04","ids":{"openalex":"https://openalex.org/W4407208937","doi":"https://doi.org/10.48550/arxiv.2502.02712"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2502.02712","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.02712","pdf_url":"https://arxiv.org/pdf/2502.02712","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/2502.02712","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023309938","display_name":"Mandeep Saini","orcid":"https://orcid.org/0000-0001-8132-7109","observed_orcids":["https://orcid.org/0000-0001-8132-7109"]},"institutions":[{"id":"https://openalex.org/I4210122839","display_name":"Max Planck University of Twente Center for Complex Fluid Dynamics","ror":"https://ror.org/02n9d1732","country_code":"NL","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210122839","https://openalex.org/I94624287"]},{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Saini, Mandeep","raw_affiliation_strings":["Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands","institution_ids":["https://openalex.org/I4210122839","https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061848436","display_name":"Vatsal Sanjay","orcid":"https://orcid.org/0000-0002-4293-6099","observed_orcids":["https://orcid.org/0000-0002-4293-6099"]},"institutions":[{"id":"https://openalex.org/I4210122839","display_name":"Max Planck University of Twente Center for Complex Fluid Dynamics","ror":"https://ror.org/02n9d1732","country_code":"NL","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210122839","https://openalex.org/I94624287"]},{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sanjay, Vatsal","raw_affiliation_strings":["Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands","institution_ids":["https://openalex.org/I4210122839","https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046538291","display_name":"Youssef Saade","orcid":"https://orcid.org/0000-0002-3760-3679","observed_orcids":["https://orcid.org/0000-0002-3760-3679"]},"institutions":[{"id":"https://openalex.org/I4210137410","display_name":"Canon (Netherlands)","ror":"https://ror.org/03nvvdm73","country_code":"NL","type":"company","lineage":["https://openalex.org/I1320697193","https://openalex.org/I4210137410"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Saade, Youssef","raw_affiliation_strings":["Canon Production Printing Netherlands B .V . 5900 MA Venlo The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Canon Production Printing Netherlands B .V . 5900 MA Venlo The Netherlands","institution_ids":["https://openalex.org/I4210137410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066010665","display_name":"Detlef Lohse","orcid":"https://orcid.org/0000-0003-4138-2255","observed_orcids":["https://orcid.org/0000-0003-4138-2255"]},"institutions":[{"id":"https://openalex.org/I4210088711","display_name":"Max Planck Institute for Dynamics and Self-Organization","ror":"https://ror.org/0087djs12","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210088711"]},{"id":"https://openalex.org/I4210122839","display_name":"Max Planck University of Twente Center for Complex Fluid Dynamics","ror":"https://ror.org/02n9d1732","country_code":"NL","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210122839","https://openalex.org/I94624287"]},{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Lohse, Detlef","raw_affiliation_strings":["Max Planck Institute for Dynamics and Self-Organisation , Am Fassberg 17 , G\u00f6ttingen , 37077 , Germany","Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics and Self-Organisation , Am Fassberg 17 , G\u00f6ttingen , 37077 , Germany","institution_ids":["https://openalex.org/I4210088711"]},{"raw_affiliation_string":"Physics of Fluids Group , Max Planck Centre for Complex Fluid Dynamics , J.M. Burgers Centre for Fluid Dynamics , University of Twente , P.O. Box 217 , Enschede , P.O. Box 217 , State One , The Netherlands","institution_ids":["https://openalex.org/I4210122839","https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105415553","display_name":"St\u00e9phane Popinet","orcid":"https://orcid.org/0000-0001-9947-297X","observed_orcids":["https://orcid.org/0000-0001-9947-297X"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210133716","display_name":"Institut Jean Le Rond d'Alembert","ror":"https://ror.org/043we9s22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210095849","https://openalex.org/I4210133716"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Popinet, Stephane","raw_affiliation_strings":["Sorbonne Universit\u00e9 , CNRS , Institut Jean Le Rond d'Alembert , Paris , F-75005 , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9 , CNRS , Institut Jean Le Rond d'Alembert , Paris , F-75005 , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210133716"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9955999851226807,"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":0.9955999851226807,"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":0.0013000000035390258,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.0008999999845400453,"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/marangoni-convection","display_name":"Marangoni convection","score":0.8360000252723694},{"id":"https://openalex.org/keywords/volume-of-fluid-method","display_name":"volume of fluid method","score":0.9020000100135803},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"signed distance function","score":0.8339999914169312},{"id":"https://openalex.org/keywords/interface-curvature","display_name":"interface curvature","score":0.7599999904632568},{"id":"https://openalex.org/keywords/surface-fraction","display_name":"surface fraction","score":0.5690000057220459},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"multiphase flow","score":0.8740000128746033},{"id":"https://openalex.org/keywords/spurious-oscillations","display_name":"spurious oscillations","score":0.7229999899864197}],"concepts":[{"id":"https://openalex.org/C63219958","wikidata":"https://www.wikidata.org/wiki/Q1960173","display_name":"Marangoni effect","level":3,"score":0.8875439167022705},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.8137373328208923},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.546505331993103},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4903852939605713},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44112181663513184},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3350751996040344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28941819071769714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.266990602016449},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1801832914352417},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1426321268081665}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:2502.02712","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.02712","pdf_url":"https://arxiv.org/pdf/2502.02712","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.mpg.de:item_3674463","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/21.11116/0000-0011-FB7D-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Physics","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ris.utwente.nl:openaire/5c561f75-594f-4ea7-898e-9b229e340a70","doi":null,"is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/5c561f75-594f-4ea7-898e-9b229e340a70","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Saini, M, Sanjay, V, Saade, Y, Lohse, D & Popinet, S 2024 'Implementation of integral surface tension formulations in a volume of fluid framework and their applications to Marangoni flows' Social Science Research Network (SSRN).","raw_type":"workingPaper"},{"id":"doi:10.48550/arxiv.2502.02712","doi":"https://doi.org/10.48550/arxiv.2502.02712","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.02712","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2502.02712","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.02712","pdf_url":"https://arxiv.org/pdf/2502.02712","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407208937.pdf","grobid_xml":"https://content.openalex.org/works/W4407208937.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2979933128","https://openalex.org/W4394840791","https://openalex.org/W2182565423","https://openalex.org/W7220989450","https://openalex.org/W2960404009","https://openalex.org/W2626261793","https://openalex.org/W1978188790","https://openalex.org/W2062759346","https://openalex.org/W4294315437","https://openalex.org/W2137982420"],"abstract_inverted_index":{"Accurate":[0],"numerical":[1,209],"modeling":[2,19],"of":[3,11,39,86,110,130,223],"surface":[4,20,43,118,195],"tension":[5,21,44,258],"has":[6,206],"been":[7],"a":[8,33,59,84,125,138,145,161,172,219,241],"challenging":[9],"aspect":[10],"multiphase":[12],"flow":[13],"simulations.":[14],"The":[15],"integral":[16,81],"formulation":[17,50,82],"for":[18,36,58,90,186,248],"forces":[22],"is":[23,198,227,240],"known":[24],"to":[25,31,66,83,164],"be":[26,32],"consistent":[27],"and":[28,30,55,62,117,160,214,233,246,251],"conservative,":[29],"natural":[34],"choice":[35],"the":[37,47,80,92,103,107,111,154,207,228,237],"simulation":[38],"flows":[40,261],"driven":[41],"by":[42,53,70,102,212,231],"gradients":[45],"along":[46],"interface.":[48,93],"This":[49],"was":[51,63],"introduced":[52],"Popinet":[54],"Zaleski":[56],"[1]":[57],"front-tracking":[60],"method":[61,89,133,149,167,226,239],"later":[64],"extended":[65],"level":[67,127],"set":[68,128],"methods":[69,182],"Al-Saud":[71],"et":[72],"al.":[73],"[2].":[74],"In":[75,94],"this":[76],"work,":[77],"we":[78,96,105,136,152,170],"extend":[79],"volume":[85,129],"fluid":[87,131],"(VOF)":[88],"capturing":[91],"fact,":[95],"propose":[97,124],"three":[98],"different":[99],"schemes":[100],"distinguished":[101],"way":[104],"calculate":[106],"geometric":[108],"properties":[109],"interface,":[112],"namely":[113],"curvature,":[114],"tangent":[115],"vector":[116],"fraction":[119],"from":[120,158,176,201,218],"VOF":[121],"representation.":[122],"We":[123],"coupled":[126,142],"(CLSVOF)":[132],"in":[134,150,168],"which":[135,151,169],"use":[137,153,171],"signed":[139],"distance":[140,165],"function":[141,147,163,174],"with":[143,189],"VOF,":[144,159],"height":[146,155,162,177],"(HF)":[148],"functions":[156],"calculated":[157,175],"(HF2D)":[166],"sign-distance":[173],"functions.":[178],"For":[179],"validation,":[180],"these":[181],"are":[183],"rigorously":[184],"tested":[185],"several":[187],"problems":[188],"constant":[190],"as":[191,193],"well":[192],"varying":[194],"tension.":[196],"It":[197],"found":[199],"that":[200],"an":[202],"accuracy":[203,247],"standpoint,":[204],"CLSVOF":[205],"least":[208],"oscillations":[210],"followed":[211,230],"HF2D":[213,232,238],"then":[215,234],"HF.":[216],"However,":[217],"computational":[220],"speed":[221,245],"point":[222],"view,":[224],"HF":[225],"fastest":[229],"CLSVOF.":[235],"Therefore,":[236],"good":[242],"compromise":[243],"between":[244],"obtaining":[249],"faster":[250],"correct":[252],"results.":[253],"Keywords:":[254],"Multiphase":[255],"flows;":[256],"Surface":[257],"modeling;":[259],"Marangoni":[260]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2025-02-07T00:00:00"}
