{"id":"https://openalex.org/W2021871259","doi":"https://doi.org/10.1137/090754996","title":"Roughness-Induced Effect at Main Order on the Reynolds Approximation","display_name":"Roughness-Induced Effect at Main Order on the Reynolds Approximation","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2021871259","doi":"https://doi.org/10.1137/090754996","mag":"2021871259"},"language":"en","primary_location":{"id":"doi:10.1137/090754996","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090754996","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"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/A5084765488","display_name":"Didier Bresch","orcid":"https://orcid.org/0000-0002-2936-7856"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Didier Bresch","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques","institution_ids":["https://openalex.org/I4210155549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010712284","display_name":"Catherine Choquet","orcid":"https://orcid.org/0000-0003-0632-0358"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Catherine Choquet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048482854","display_name":"Laurent Chupin","orcid":"https://orcid.org/0000-0002-4221-0095"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent Chupin","raw_affiliation_strings":["Institut Camille Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Camille Jordan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112051532","display_name":"Thierry Colin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Colin","raw_affiliation_strings":["Mod\u00e9lisation, contr\u00f4le et calcul","Institut de Math\u00e9matiques de Bordeaux"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mod\u00e9lisation, contr\u00f4le et calcul","institution_ids":[]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bordeaux","institution_ids":["https://openalex.org/I4210166017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084270932","display_name":"Marguerite Gisclon","orcid":"https://orcid.org/0009-0004-4512-7774"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marguerite Gisclon","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques","institution_ids":["https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084765488"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":3.089,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91120734,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":"3","first_page":"997","last_page":"1017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9994999766349792,"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/T11558","display_name":"Composite Material Mechanics","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.645276665687561},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5542633533477783},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5190073251724243},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5153157711029053},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.513450026512146},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.4752877950668335},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4729223847389221},{"id":"https://openalex.org/keywords/reynolds-equation","display_name":"Reynolds equation","score":0.45384401082992554},{"id":"https://openalex.org/keywords/rugosity","display_name":"Rugosity","score":0.4493572413921356},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44641080498695374},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31507641077041626},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2969186007976532},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.24755176901817322},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1917220950126648},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1470014750957489}],"concepts":[{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.645276665687561},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5542633533477783},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5190073251724243},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5153157711029053},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.513450026512146},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.4752877950668335},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4729223847389221},{"id":"https://openalex.org/C157334427","wikidata":"https://www.wikidata.org/wiki/Q7319639","display_name":"Reynolds equation","level":4,"score":0.45384401082992554},{"id":"https://openalex.org/C2777177297","wikidata":"https://www.wikidata.org/wiki/Q3452958","display_name":"Rugosity","level":3,"score":0.4493572413921356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44641080498695374},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31507641077041626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2969186007976532},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.24755176901817322},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1917220950126648},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1470014750957489},{"id":"https://openalex.org/C185933670","wikidata":"https://www.wikidata.org/wiki/Q52105","display_name":"Habitat","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/090754996","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090754996","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00385963v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00385963","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2009, 8 (3), pp.997-1017. ⟨10.1137/090754996⟩","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/116170","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/116170","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/165874","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/165874","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W313393989","https://openalex.org/W783301681","https://openalex.org/W1982224354","https://openalex.org/W2011208969","https://openalex.org/W2027239222","https://openalex.org/W2034887879","https://openalex.org/W2085727025","https://openalex.org/W2116801612","https://openalex.org/W2287766569"],"related_works":["https://openalex.org/W2945568250","https://openalex.org/W1522864530","https://openalex.org/W3186466981","https://openalex.org/W2957441044","https://openalex.org/W2291757292","https://openalex.org/W2007045546","https://openalex.org/W2954813764","https://openalex.org/W2087486638","https://openalex.org/W3195484007","https://openalex.org/W40363727"],"abstract_inverted_index":{"Usually":[0],"the":[1,21,25,44,60,72,75,79,82,90,100,112,117,122,125],"Stokes":[2],"equations":[3],"that":[4,33,89],"govern":[5],"a":[6,9,35,49,54,109],"flow":[7,45,91],"in":[8,124],"smooth":[10],"thin":[11,37],"domain":[12,38],"(with":[13,39],"thickness":[14],"of":[15,41,74,81,111,114],"order":[16,42],"$\\varepsilon$)":[17],"are":[18],"related":[19],"to":[20],"Reynolds":[22,51],"equation":[23,52],"for":[24,34,53],"pressure":[26,55],"$p_{\\mathrm{smooth}}$.":[27],"In":[28,84],"this":[29],"paper,":[30],"we":[31,58,87],"show":[32],"rough":[36],"rugosities":[40,76],"$\\varepsilon^2$)":[43],"is":[46,65,105],"governed":[47],"by":[48],"modified":[50],"$p_{\\mathrm{rough}}$.":[56],"Moreover,":[57],"find":[59],"relation":[61],"$p_{\\mathrm{rough}}=K\\,p_{\\mathrm{smooth}}$,":[62],"where":[63],"K":[64],"an":[66],"explicit":[67],"coefficient":[68],"depending":[69],"only":[70],"on":[71,78,99],"form":[73],"and":[77,119],"viscosity":[80],"fluid.":[83],"some":[85],"sense,":[86],"see":[88],"may":[92],"be":[93],"accelerated":[94],"using":[95],"adequate":[96],"rugosity":[97],"profiles":[98],"bottom.":[101],"The":[102],"limit":[103],"system":[104],"mathematically":[106],"justified":[107],"through":[108],"variant":[110],"notion":[113],"two-scale":[115],"convergence,":[116],"originality":[118],"difficulty":[120],"being":[121],"anisotropy":[123],"height":[126],"profile.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}