{"id":"https://openalex.org/W3130166436","doi":"https://doi.org/10.1002/fld.4966","title":"Variationally derived closure models for large eddy simulation of incompressible turbulent flows","display_name":"Variationally derived closure models for large eddy simulation of incompressible turbulent flows","publication_year":2021,"publication_date":"2021-02-11","ids":{"openalex":"https://openalex.org/W3130166436","doi":"https://doi.org/10.1002/fld.4966","mag":"3130166436"},"language":"en","primary_location":{"id":"doi:10.1002/fld.4966","doi":"https://doi.org/10.1002/fld.4966","is_oa":false,"landing_page_url":"https://doi.org/10.1002/fld.4966","pdf_url":null,"source":{"id":"https://openalex.org/S155225502","display_name":"International Journal for Numerical Methods in Fluids","issn_l":"0271-2091","issn":["0271-2091","1097-0363"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Fluids","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058043574","display_name":"Arif Masud","orcid":"https://orcid.org/0000-0002-4708-4251","observed_orcids":["https://orcid.org/0000-0002-4708-4251"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Arif Masud","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801 USA"],"raw_orcid":"https://orcid.org/0000-0002-4708-4251","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082860874","display_name":"Lixing Zhu","orcid":"https://orcid.org/0000-0002-9750-3442","observed_orcids":["https://orcid.org/0000-0002-9750-3442","https://orcid.org/0009-0002-2809-4355"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lixing Zhu","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801 USA"],"raw_orcid":"https://orcid.org/0000-0002-9750-3442","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058043574"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":{"value":3700,"currency":"USD","value_usd":3700},"apc_paid":null,"fwci":0.4257,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.47055694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"93","issue":"7","first_page":"2089","last_page":"2120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.46950000524520874,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.46950000524520874,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.3855000138282776,"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":0.1315000057220459,"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/closure-models","display_name":"closure models","score":0.765999972820282},{"id":"https://openalex.org/keywords/large-eddy-simulation","display_name":"large eddy simulation","score":0.8389999866485596},{"id":"https://openalex.org/keywords/incompressible-navier-stokes-equations","display_name":"incompressible Navier-Stokes equations","score":0.890999972820282},{"id":"https://openalex.org/keywords/variational-multiscale-method","display_name":"variational multiscale method","score":0.8960000276565552},{"id":"https://openalex.org/keywords/bubble-functions","display_name":"bubble functions","score":0.8370000123977661},{"id":"https://openalex.org/keywords/variational-consistency","display_name":"variational consistency","score":0.7889999747276306},{"id":"https://openalex.org/keywords/linearization","display_name":"linearization","score":0.6790000200271606},{"id":"https://openalex.org/keywords/quadratic-convergence","display_name":"quadratic convergence","score":0.7409999966621399},{"id":"https://openalex.org/keywords/taylor-green-vortex","display_name":"Taylor-Green vortex","score":0.9079999923706055},{"id":"https://openalex.org/keywords/boundary-layer-instability","display_name":"boundary layer instability","score":0.8199999928474426},{"id":"https://openalex.org/keywords/flow-separation","display_name":"flow separation","score":0.8349999785423279},{"id":"https://openalex.org/keywords/flat-plate-flow","display_name":"flat plate flow","score":0.5299999713897705}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6035471558570862},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.43300461769104004},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.41191041469573975},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3980565667152405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38225430250167847},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28106629848480225}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/fld.4966","doi":"https://doi.org/10.1002/fld.4966","is_oa":false,"landing_page_url":"https://doi.org/10.1002/fld.4966","pdf_url":null,"source":{"id":"https://openalex.org/S155225502","display_name":"International Journal for Numerical Methods in Fluids","issn_l":"0271-2091","issn":["0271-2091","1097-0363"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Fluids","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1874882403","https://openalex.org/W1968895792","https://openalex.org/W1970351891","https://openalex.org/W1975951787","https://openalex.org/W1976509668","https://openalex.org/W2000761206","https://openalex.org/W2004494416","https://openalex.org/W2015594724","https://openalex.org/W2028678819","https://openalex.org/W2031714562","https://openalex.org/W2033058178","https://openalex.org/W2044100824","https://openalex.org/W2047852433","https://openalex.org/W2055539661","https://openalex.org/W2062755780","https://openalex.org/W2064304356","https://openalex.org/W2070033465","https://openalex.org/W2074447412","https://openalex.org/W2076072472","https://openalex.org/W2078045751","https://openalex.org/W2083801566","https://openalex.org/W2092626926","https://openalex.org/W2104055838","https://openalex.org/W2105732337","https://openalex.org/W2116600346","https://openalex.org/W2139519490","https://openalex.org/W2150067632","https://openalex.org/W2152448506","https://openalex.org/W2154122281","https://openalex.org/W2165123564","https://openalex.org/W2167261469","https://openalex.org/W2168795429","https://openalex.org/W2169107943","https://openalex.org/W2171404716","https://openalex.org/W2171651455","https://openalex.org/W2181301071","https://openalex.org/W2287802986","https://openalex.org/W2519674393","https://openalex.org/W2540754170","https://openalex.org/W2564800775","https://openalex.org/W2592218863","https://openalex.org/W2619115145","https://openalex.org/W2739714776","https://openalex.org/W2794119393","https://openalex.org/W2898157742","https://openalex.org/W2945600021","https://openalex.org/W3094568936"],"related_works":["https://openalex.org/W3195474676","https://openalex.org/W2139519490","https://openalex.org/W2171404716","https://openalex.org/W2154122281","https://openalex.org/W2112539838","https://openalex.org/W1998607134","https://openalex.org/W7095089254","https://openalex.org/W40679879","https://openalex.org/W1874882403","https://openalex.org/W1985477075"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"a":[3,113],"variationally":[4],"consistent":[5],"method":[6,17,96,107],"for":[7,12,73,102,112,149],"deriving":[8],"residual\u2010based":[9],"closure":[10,75],"models":[11],"incompressible":[13],"Navier\u2013Stokes":[14],"equations.":[15,56,105],"The":[16,106,164],"is":[18,61,108],"based":[19,59],"on":[20,191],"the":[21,27,37,40,44,48,65,74,80,95,98,103,137,144,179,182,185,189,192,195],"fine\u2010scale":[22,66],"variational":[23,28,67],"structure":[24],"facilitated":[25],"by":[26,36],"multiscale":[29],"framework":[30],"where":[31],"fine":[32],"scales":[33,46],"are":[34,129,147],"driven":[35],"residuals":[38],"of":[39,43,50,54,79,92,94,115,131,152,162,181,184,188,194,209],"Euler\u2013Lagrange":[41],"equations":[42],"resolved":[45],"in":[47,89,97,136],"balance":[49],"momentum":[51],"and":[52,117,120,133,160,177,203],"conservation":[53],"mass":[55],"A":[57],"bubble\u2010functions":[58],"approach":[60],"applied":[62],"directly":[63],"to":[64,69,84,110,156,200],"equation":[68],"derive":[70],"analytical":[71],"expressions":[72],"model.":[76],"Variational":[77],"consistency":[78],"model":[81,146],"lends":[82],"itself":[83],"rigorous":[85],"linearization":[86],"that":[87,128,198],"results":[88],"quadratic":[90,118],"rate":[91],"convergence":[93],"iterative":[99],"solution":[100],"strategy":[101],"nonlinear":[104],"shown":[109],"work":[111],"family":[114],"linear":[116],"hexahedral":[119,132],"tetrahedral":[121,134],"elements":[122,135],"as":[123,125],"well":[124],"composite":[126],"discretizations":[127],"comprised":[130],"same":[138],"computational":[139],"domain.":[140],"Numerical":[141],"tests":[142],"with":[143],"proposed":[145],"presented":[148],"various":[150],"classes":[151],"turbulent":[153],"flow":[154,201,204],"problems":[155],"show":[157],"its":[158],"generality":[159],"range":[161],"applicability.":[163],"test":[165],"cases":[166],"investigated":[167],"include":[168],"Taylor\u2013Green":[169],"vortex":[170],"stretching,":[171],"statistically":[172],"stationary":[173],"wall\u2010bounded":[174],"channel":[175],"flows,":[176],"modeling":[178],"effects":[180],"geometry":[183],"leading":[186],"edge":[187],"plate":[190],"instability":[193],"boundary":[196],"layer":[197],"leads":[199],"separation":[202],"reversal":[205],"over":[206],"flat":[207],"plates":[208],"finite":[210],"thickness.":[211]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2021-03-01T00:00:00"}