{"id":"https://openalex.org/W2106613660","doi":"https://doi.org/10.1142/s0218127409023615","title":"MODEL REDUCTION OF TURBULENT FLUID FLOWS USING THE SUPPLY RATE","display_name":"MODEL REDUCTION OF TURBULENT FLUID FLOWS USING THE SUPPLY RATE","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2106613660","doi":"https://doi.org/10.1142/s0218127409023615","mag":"2106613660"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023615","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023615","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1301.4861","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008996263","display_name":"A. S. Sharma","orcid":"https://orcid.org/0000-0002-7170-1627"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"A. S. SHARMA","raw_affiliation_strings":["Departments of Electrical and Electronic Engineering, Aeronautics, South Kensington Campus, Imperial College London, London SW7 2BY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Electrical and Electronic Engineering, Aeronautics, South Kensington Campus, Imperial College London, London SW7 2BY, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008996263"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.15837139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"04","first_page":"1267","last_page":"1278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"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":0.9994000196456909,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9980000257492065,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.993399977684021,"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/turbulence","display_name":"Turbulence","score":0.6905075311660767},{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.6378253698348999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.576463520526886},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.551828920841217},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.533166766166687},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4894010126590729},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4671895503997803},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4509430229663849},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.41562575101852417},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3736242651939392},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3392433524131775},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30577364563941956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24872764945030212},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15873616933822632},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13954755663871765},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12233802676200867}],"concepts":[{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.6905075311660767},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.6378253698348999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.576463520526886},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.551828920841217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.533166766166687},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4894010126590729},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4671895503997803},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4509430229663849},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.41562575101852417},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3736242651939392},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3392433524131775},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30577364563941956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24872764945030212},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15873616933822632},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13954755663871765},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12233802676200867},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218127409023615","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023615","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:350134","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/350134/1/Sharma09-1.pdf","pdf_url":"https://eprints.soton.ac.uk/350134/1/Sharma09-1.pdf","source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1301.4861","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.4861","pdf_url":"https://arxiv.org/pdf/1301.4861","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,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.6974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.6974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1301.4861.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1301.4861","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.4861","pdf_url":"https://arxiv.org/pdf/1301.4861","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,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1988680134","https://openalex.org/W1989763028","https://openalex.org/W2004470537","https://openalex.org/W2031685172","https://openalex.org/W2038516800","https://openalex.org/W2043649076","https://openalex.org/W2057576183","https://openalex.org/W2059316647","https://openalex.org/W2064733273","https://openalex.org/W2076467525","https://openalex.org/W2086442120","https://openalex.org/W2088872157","https://openalex.org/W2095477585","https://openalex.org/W2130411680","https://openalex.org/W2154338503","https://openalex.org/W2163059024","https://openalex.org/W2168549682"],"related_works":["https://openalex.org/W1143221572","https://openalex.org/W2152090065","https://openalex.org/W71690741","https://openalex.org/W3128269287","https://openalex.org/W2055757117","https://openalex.org/W2368924260","https://openalex.org/W1537999034","https://openalex.org/W4321452459","https://openalex.org/W2055294852","https://openalex.org/W2001647662"],"abstract_inverted_index":{"A":[0],"method":[1,13,68,81,123],"for":[2],"finding":[3],"reduced-order":[4],"approximations":[5],"of":[6,19,25,31,103,106],"turbulent":[7,20,98],"flow":[8,110],"models":[9],"is":[10,39,64,116],"presented.":[11,117],"The":[12,61,80,88],"preserves":[14],"bounds":[15,75,89,95],"on":[16,76,96],"the":[17,23,26,43,51,55,77,97,104,107,121,125],"production":[18],"energy":[21,99],"in":[22],"sense":[24],"[Formula:":[27],"see":[28],"text]":[29],"norm":[30],"perturbations":[32],"from":[33],"a":[34,47,67,112],"notional":[35],"laminar":[36],"profile.":[37],"This":[38],"achieved":[40],"by":[41],"decomposing":[42],"Navier\u2013Stokes":[44],"system":[45,53,63],"into":[46],"feedback":[48],"arrangement":[49],"between":[50],"linearized":[52],"and":[54],"remaining,":[56],"normally":[57],"neglected,":[58],"nonlinear":[59],"part.":[60],"linear":[62],"reduced":[65],"using":[66],"similar":[69],"to":[70,93,109],"balanced":[71,137],"truncation,":[72],"but":[73],"preserving":[74],"supply":[78,126],"rate.":[79],"involves":[82],"balancing":[83],"two":[84],"algebraic":[85],"Riccati":[86],"equations.":[87],"are":[90],"then":[91],"used":[92],"derive":[94],"production.":[100],"An":[101],"example":[102],"application":[105],"procedure":[108],"through":[111],"long":[113],"straight":[114],"pipe":[115],"Comparison":[118],"shows":[119],"that":[120],"new":[122],"approximates":[124],"rate":[127],"at":[128],"least":[129],"as":[130],"well":[131],"as,":[132],"or":[133],"better":[134],"than,":[135],"canonical":[136],"truncation.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
