{"id":"https://openalex.org/W2018566351","doi":"https://doi.org/10.1115/1.4003762","title":"Uncertainty Quantification of Turbulence Model Coefficients via Latin Hypercube Sampling Method","display_name":"Uncertainty Quantification of Turbulence Model Coefficients via Latin Hypercube Sampling Method","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W2018566351","doi":"https://doi.org/10.1115/1.4003762","mag":"2018566351"},"language":"en","primary_location":{"id":"doi:10.1115/1.4003762","doi":"https://doi.org/10.1115/1.4003762","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4003762","pdf_url":null,"source":{"id":"https://openalex.org/S14419372","display_name":"Journal of Fluids Engineering","issn_l":"0098-2202","issn":["0098-2202","1528-901X"],"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/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Fluids Engineering","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/A5113700640","display_name":"Matthew C. Dunn","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthew C. Dunn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018948140","display_name":"Babak Shotorban","orcid":"https://orcid.org/0000-0001-6838-7297","observed_orcids":["https://orcid.org/0000-0001-6838-7297"]},"institutions":[{"id":"https://openalex.org/I2799795989","display_name":"American Society of Mechanical Engineers","ror":"https://ror.org/04e5j7m81","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2799795989"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Babak Shotorban","raw_affiliation_strings":["Assistant Professor Mem. ASME"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Assistant Professor Mem. ASME","institution_ids":["https://openalex.org/I2799795989"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023017465","display_name":"Abdelkader Frendi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2799795989","display_name":"American Society of Mechanical Engineers","ror":"https://ror.org/04e5j7m81","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2799795989"]},{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Abdelkader Frendi","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, The University of Alabama in Huntsville, Huntsville, AL 35899","Professor Mem. ASME"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, The University of Alabama in Huntsville, Huntsville, AL 35899","institution_ids":["https://openalex.org/I82495205"]},{"raw_affiliation_string":"Professor Mem. ASME","institution_ids":["https://openalex.org/I2799795989"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018948140","https://openalex.org/A5023017465"],"corresponding_institution_ids":["https://openalex.org/I2799795989","https://openalex.org/I82495205"],"apc_list":null,"apc_paid":null,"fwci":1.3565,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.84472574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"133","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.7728999853134155,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.7728999853134155,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.1023000031709671,"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":0.09359999746084213,"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/uncertainty-quantification","display_name":"uncertainty quantification","score":0.9490000009536743},{"id":"https://openalex.org/keywords/k-epsilon-turbulence-model","display_name":"k-epsilon turbulence model","score":0.9340000152587891},{"id":"https://openalex.org/keywords/latin-hypercube-sampling","display_name":"Latin hypercube sampling","score":0.9380000233650208},{"id":"https://openalex.org/keywords/backward-facing-step-flow","display_name":"backward-facing step flow","score":0.8579999804496765},{"id":"https://openalex.org/keywords/recirculation-zone","display_name":"recirculation zone","score":0.7409999966621399},{"id":"https://openalex.org/keywords/reattachment-point","display_name":"reattachment point","score":0.902999997138977},{"id":"https://openalex.org/keywords/free-shear-layer","display_name":"free shear layer","score":0.6600000262260437},{"id":"https://openalex.org/keywords/turbulence-intensity","display_name":"turbulence intensity","score":0.7210000157356262},{"id":"https://openalex.org/keywords/wall-shear-stress","display_name":"wall shear stress","score":0.8769999742507935},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"probability density function","score":0.7120000123977661}],"concepts":[{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.8715513944625854},{"id":"https://openalex.org/C20820323","wikidata":"https://www.wikidata.org/wiki/Q6496514","display_name":"Latin hypercube sampling","level":3,"score":0.8638957738876343},{"id":"https://openalex.org/C15476950","wikidata":"https://www.wikidata.org/wiki/Q7854776","display_name":"Turbulence kinetic energy","level":3,"score":0.7218965888023376},{"id":"https://openalex.org/C150711758","wikidata":"https://www.wikidata.org/wiki/Q17148242","display_name":"K-epsilon turbulence model","level":3,"score":0.6949663758277893},{"id":"https://openalex.org/C189223162","wikidata":"https://www.wikidata.org/wiki/Q18386383","display_name":"K-omega turbulence model","level":4,"score":0.5712775588035583},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.553806483745575},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5336324572563171},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5141887664794922},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5089778900146484},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4563882350921631},{"id":"https://openalex.org/C204573209","wikidata":"https://www.wikidata.org/wiki/Q1417609","display_name":"Turbulence modeling","level":3,"score":0.4322882890701294},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42426034808158875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41911011934280396},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4190383851528168},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.415926456451416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4112376570701599},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20784223079681396},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.19026342034339905},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4003762","doi":"https://doi.org/10.1115/1.4003762","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4003762","pdf_url":null,"source":{"id":"https://openalex.org/S14419372","display_name":"Journal of Fluids Engineering","issn_l":"0098-2202","issn":["0098-2202","1528-901X"],"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/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Fluids Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W63802623","https://openalex.org/W180577587","https://openalex.org/W250249817","https://openalex.org/W323536346","https://openalex.org/W1994569696","https://openalex.org/W2036843121","https://openalex.org/W2038669746","https://openalex.org/W2040386053","https://openalex.org/W2041728553","https://openalex.org/W2047142080","https://openalex.org/W2063300091","https://openalex.org/W2069585746","https://openalex.org/W2072921737","https://openalex.org/W2092624440","https://openalex.org/W2094068548","https://openalex.org/W2111003228","https://openalex.org/W2131537960","https://openalex.org/W2144972659","https://openalex.org/W2328206752","https://openalex.org/W2568283272","https://openalex.org/W4243645092","https://openalex.org/W4247680473","https://openalex.org/W4255375128"],"related_works":["https://openalex.org/W3166843176","https://openalex.org/W2332781004","https://openalex.org/W4405190675","https://openalex.org/W3141606086","https://openalex.org/W2884153152","https://openalex.org/W1983492963","https://openalex.org/W7163877053","https://openalex.org/W2807265445","https://openalex.org/W3020363770","https://openalex.org/W2605047235"],"abstract_inverted_index":{"The":[0,87,101,128,145,176],"article":[1],"is":[2,48,77,89,106],"concerned":[3],"with":[4,141],"the":[5,10,42,57,62,81,109,123,134,156,161,165,172,189,192],"propagation":[6],"of":[7,12,52,64,83,119,138,191],"uncertainties":[8,190],"in":[9,18,80,160],"values":[11,130],"turbulence":[13,46,58,169],"model":[14,47,53,71,149],"coefficients":[15,22,72],"and":[16,23,33,61,168,181],"parameters":[17,24,137],"turbulent":[19,65],"flows.":[20],"These":[21],"are":[25,35,131,184],"obtained":[26],"through":[27],"experiments":[28],"performed":[29],"on":[30,155],"elementary":[31],"flows,":[32],"they":[34],"subject":[36],"to":[37,122],"uncertainty.":[38],"In":[39],"this":[40],"work,":[41],"widely":[43],"used":[44],"k-\u025b":[45],"considered.":[49],"It":[50],"consists":[51],"transport":[54],"equations":[55,68],"for":[56,92,108,133],"kinetic":[59],"energy":[60],"rate":[63],"dissipation.":[66],"Both":[67],"involve":[69],"various":[70],"about":[73],"which":[74],"adequate":[75],"knowledge":[76],"assumed":[78],"known":[79],"form":[82],"probability":[84],"density":[85],"functions.":[86],"study":[88],"carried":[90],"out":[91],"a":[93,96,116],"flow":[94,135],"over":[95],"2D":[97],"backward-facing":[98],"step":[99],"configuration.":[100],"Latin":[102],"Hypercube":[103],"Sampling":[104],"method":[105],"employed":[107],"uncertainty":[110],"quantification":[111],"purposes":[112],"as":[113],"it":[114],"requires":[115],"smaller":[117],"number":[118],"samples":[120],"compared":[121],"conventional":[124],"Monte":[125],"Carlo":[126],"method.":[127],"mean":[129,158],"reported":[132],"output":[136],"interest":[139],"along":[140,171],"their":[142],"associated":[143],"uncertainties.":[144],"results":[146],"show":[147],"that":[148],"coefficient":[150],"variability":[151],"has":[152],"significant":[153],"effects":[154],"streamwise":[157],"velocity":[159],"recirculation":[162],"region":[163],"near":[164],"reattachment":[166,177],"point":[167,178],"intensity":[170],"free":[173],"shear":[174,183],"layer.":[175],"location,":[179],"pressure,":[180],"wall":[182],"also":[185],"significantly":[186],"influenced":[187],"by":[188],"coefficients.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}