{"id":"https://openalex.org/W3142783575","doi":"https://doi.org/10.1137/19m1354819","title":"Quantifying Truncation-Related Uncertainties in Unsteady Fluid Dynamics Reduced Order Models","display_name":"Quantifying Truncation-Related Uncertainties in Unsteady Fluid Dynamics Reduced Order Models","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3142783575","doi":"https://doi.org/10.1137/19m1354819","mag":"3142783575"},"language":"en","primary_location":{"id":"doi:10.1137/19m1354819","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1354819","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://archimer.ifremer.fr/doc/00724/83581/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076659283","display_name":"Valentin Resseguier","orcid":"https://orcid.org/0000-0002-9301-9493"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Valentin Resseguier","raw_affiliation_strings":["L@b SCALIAN (France)"],"raw_orcid":"https://orcid.org/0000-0002-9301-9493","affiliations":[{"raw_affiliation_string":"L@b SCALIAN (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056924085","display_name":"Agustin Martin Picard","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Agustin M. Picard","raw_affiliation_strings":["L@b SCALIAN (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L@b SCALIAN (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018721311","display_name":"\u00c9tienne M\u00e9min","orcid":"https://orcid.org/0000-0003-2307-5438"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Etienne Memin","raw_affiliation_strings":["FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences (France)"],"raw_orcid":"https://orcid.org/0000-0003-2307-5438","affiliations":[{"raw_affiliation_string":"FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073132582","display_name":"Bertrand Chapron","orcid":"https://orcid.org/0000-0001-6088-8775"},"institutions":[{"id":"https://openalex.org/I4210112630","display_name":"Laboratoire d\u2019\u00c9tudes en G\u00e9ophysique et Oc\u00e9anographie Spatiales","ror":"https://ror.org/02chvqy57","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1327553481","https://openalex.org/I154202486","https://openalex.org/I2799535048","https://openalex.org/I2799535048","https://openalex.org/I2802818602","https://openalex.org/I4210088668","https://openalex.org/I4210090127","https://openalex.org/I4210112630","https://openalex.org/I4210113730","https://openalex.org/I4210131494","https://openalex.org/I4210166444","https://openalex.org/I4405257220","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210134272","display_name":"Laboratory for Ocean Physics and Satellite Remote Sensing","ror":"https://ror.org/03rtw5049","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1327553481","https://openalex.org/I154202486","https://openalex.org/I154202486","https://openalex.org/I2799535048","https://openalex.org/I2802818602","https://openalex.org/I4210088668","https://openalex.org/I4210090127","https://openalex.org/I4210113730","https://openalex.org/I4210131494","https://openalex.org/I4210134272","https://openalex.org/I4210148025","https://openalex.org/I4210166444","https://openalex.org/I4405257220","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bertrand Chapron","raw_affiliation_strings":["LOPS - Laboratoire d'Oc\u00e9anographie Physique et Spatiale (Rue Dumont D'Urville, 29280 Plouzan\u00e9 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LOPS - Laboratoire d'Oc\u00e9anographie Physique et Spatiale (Rue Dumont D'Urville, 29280 Plouzan\u00e9 - France)","institution_ids":["https://openalex.org/I4210134272","https://openalex.org/I4210112630"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5751,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.83001341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":"3","first_page":"1152","last_page":"1183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.995199978351593,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9950000047683716,"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/truncation","display_name":"Truncation (statistics)","score":0.73450767993927},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5723981261253357},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.5457101464271545},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44388172030448914},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.434909850358963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4288980960845947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4287586510181427},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.3902427554130554},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34681087732315063},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3258594274520874},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22747334837913513},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19554665684700012},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11433574557304382}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.73450767993927},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5723981261253357},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.5457101464271545},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44388172030448914},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.434909850358963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4288980960845947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4287586510181427},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.3902427554130554},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34681087732315063},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3258594274520874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22747334837913513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19554665684700012},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11433574557304382},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1354819","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1354819","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"pmh:oai:archimer.ifremer.fr:83581","is_oa":true,"landing_page_url":"https://archimer.ifremer.fr/doc/00724/83581/","pdf_url":"https://archimer.ifremer.fr/doc/00724/83581/","source":{"id":"https://openalex.org/S4377196267","display_name":"Institutional Archive of Ifremer (French Research Institute for Exploitation of the Sea)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154202486","host_organization_name":"Ifremer","host_organization_lineage":["https://openalex.org/I154202486"],"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":"Siam-asa Journal On Uncertainty Quantification (2166-2525) (Society for Industrial & Applied Mathematics (SIAM)), 2021 , Vol. 9 , N. 3 , P. 1152-1183","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03169957v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03169957","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-03169957","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03169957v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03169957","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification, 2021, 9 (3), pp.1152-1183. ⟨10.1137/19M1354819⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:archimer.ifremer.fr:83581","is_oa":true,"landing_page_url":"https://archimer.ifremer.fr/doc/00724/83581/","pdf_url":"https://archimer.ifremer.fr/doc/00724/83581/","source":{"id":"https://openalex.org/S4377196267","display_name":"Institutional Archive of Ifremer (French Research Institute for Exploitation of the Sea)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154202486","host_organization_name":"Ifremer","host_organization_lineage":["https://openalex.org/I154202486"],"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":"Siam-asa Journal On Uncertainty Quantification (2166-2525) (Society for Industrial & Applied Mathematics (SIAM)), 2021 , Vol. 9 , N. 3 , P. 1152-1183","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1065408284","display_name":null,"funder_award_id":"856408-STUOD","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3142783575.pdf"},"referenced_works_count":78,"referenced_works":["https://openalex.org/W1964392002","https://openalex.org/W1973771388","https://openalex.org/W1975015040","https://openalex.org/W1984516949","https://openalex.org/W1992228582","https://openalex.org/W2002242880","https://openalex.org/W2002941610","https://openalex.org/W2007442176","https://openalex.org/W2014356541","https://openalex.org/W2015449744","https://openalex.org/W2018772114","https://openalex.org/W2022727199","https://openalex.org/W2024722323","https://openalex.org/W2032229183","https://openalex.org/W2033068209","https://openalex.org/W2037777951","https://openalex.org/W2042351220","https://openalex.org/W2049753327","https://openalex.org/W2056883816","https://openalex.org/W2057116401","https://openalex.org/W2061514871","https://openalex.org/W2064916725","https://openalex.org/W2066309202","https://openalex.org/W2070999115","https://openalex.org/W2073144354","https://openalex.org/W2073594627","https://openalex.org/W2073644805","https://openalex.org/W2080131969","https://openalex.org/W2084009505","https://openalex.org/W2091312534","https://openalex.org/W2101080583","https://openalex.org/W2118428107","https://openalex.org/W2129791756","https://openalex.org/W2131771606","https://openalex.org/W2133787446","https://openalex.org/W2139139723","https://openalex.org/W2139168617","https://openalex.org/W2142918656","https://openalex.org/W2160852351","https://openalex.org/W2161155740","https://openalex.org/W2164875767","https://openalex.org/W2167720109","https://openalex.org/W2239232218","https://openalex.org/W2330963129","https://openalex.org/W2418761252","https://openalex.org/W2475548340","https://openalex.org/W2547900893","https://openalex.org/W2552751767","https://openalex.org/W2573195508","https://openalex.org/W2605235975","https://openalex.org/W2746980346","https://openalex.org/W2747778728","https://openalex.org/W2749305946","https://openalex.org/W2766387390","https://openalex.org/W2768046057","https://openalex.org/W2772817569","https://openalex.org/W2778400616","https://openalex.org/W2795701159","https://openalex.org/W2804974381","https://openalex.org/W2935849742","https://openalex.org/W2962703848","https://openalex.org/W2963070178","https://openalex.org/W2964303859","https://openalex.org/W2980830608","https://openalex.org/W2996151804","https://openalex.org/W3021544678","https://openalex.org/W3030859422","https://openalex.org/W3033293140","https://openalex.org/W3035605739","https://openalex.org/W3099211663","https://openalex.org/W3099404592","https://openalex.org/W3099984124","https://openalex.org/W3101717561","https://openalex.org/W3102013845","https://openalex.org/W3102097232","https://openalex.org/W3104908327","https://openalex.org/W3105345467","https://openalex.org/W3171492509"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2036329708","https://openalex.org/W2073514592","https://openalex.org/W138907054"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,43,65],"new":[6],"method":[7],"to":[8,31,88,109,124,160,167],"quantify":[9],"the":[10,14,21,27,82,90,110,146,150,162],"uncertainty":[11,141],"introduced":[12],"by":[13,50],"drastic":[15],"dimensionality":[16],"reduction":[17],"commonly":[18],"practiced":[19],"in":[20],"field":[22],"of":[23,79,81,101,112,131],"computational":[24,99],"fluid":[25,114],"dynamics,":[26],"ultimate":[28],"goal":[29],"being":[30,149],"simulate":[32],"accurate":[33,177],"priors":[34],"for":[35],"real-time":[36],"data":[37],"assimilation.":[38],"Our":[39],"key":[40],"ingredient":[41],"is":[42,58,122,158],"stochastic":[44,117,155],"Navier--Stokes":[45],"closure":[46],"mechanism":[47],"that":[48],"arises":[49],"assuming":[51],"random":[52],"unresolved":[53],"flow":[54],"components.":[55],"This":[56,116],"decomposition":[57,68],"carried":[59],"out":[60],"through":[61],"Galerkin":[62],"projection":[63],"with":[64,140],"proper":[66],"orthogonal":[67],"(POD-Galerkin)":[69],"basis.":[70],"The":[71,97,153],"residual":[72],"velocity":[73],"fields,":[74],"model":[75,120],"structure,":[76],"and":[77,93,126,137,143,166],"evolution":[78],"coefficients":[80,165],"reduced":[83],"order's":[84],"solutions":[85],"are":[86],"used":[87],"compute":[89],"resulting":[91],"multiplicative":[92],"additive":[94],"noise's":[95],"correlations.":[96],"low":[98],"cost":[100],"these":[102],"consistent":[103],"correlation":[104],"estimators":[105],"makes":[106],"them":[107],"applicable":[108],"study":[111],"complex":[113],"flows.":[115],"POD-reduced":[118],"order":[119],"(POD-ROM)":[121],"applied":[123],"2-dimensional":[125],"3-dimensional":[127],"direct":[128],"numerical":[129],"simulations":[130],"wake":[132],"flows":[133],"at":[134],"Reynolds":[135],"100":[136],"300,":[138],"respectively,":[139],"quantification":[142],"forecasting":[144],"outside":[145],"learning":[147],"interval":[148],"main":[151],"focus.":[152],"proposed":[154],"POD-ROM":[156],"approach":[157],"shown":[159],"stabilize":[161],"unstable":[163],"temporal":[164],"maintain":[168],"their":[169],"variability":[170],"under":[171],"control,":[172],"while":[173],"exhibiting":[174],"an":[175],"impressively":[176],"predictive":[178],"capability.\\n":[179]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}