{"id":"https://openalex.org/W2113465606","doi":"https://doi.org/10.1109/cdc.2002.1184376","title":"On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD","display_name":"On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2113465606","doi":"https://doi.org/10.1109/cdc.2002.1184376","mag":"2113465606"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-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/A5033274288","display_name":"Tim Colonius","orcid":"https://orcid.org/0000-0003-0326-3909"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. Colonius","raw_affiliation_strings":["California Institute of Technology, USA","California Institute of Technology Pasadena CA USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California Institute of Technology Pasadena CA USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089973231","display_name":"Clarence W. Rowley","orcid":"https://orcid.org/0000-0002-9099-5739"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.W. Rowley","raw_affiliation_strings":["Princeton University, USA","Mechanical & Aerospace Eng"],"affiliations":[{"raw_affiliation_string":"Princeton University, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Mechanical & Aerospace Eng","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083249013","display_name":"Jon Freund","orcid":null},"institutions":[{"id":"https://openalex.org/I4400573203","display_name":"Nature Inspires Creativity Engineers Lab","ror":"https://ror.org/02bczqy30","country_code":null,"type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4400573203"]},{"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":"J.B. Freund","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, Urbana-Champaign, USA","Coordinated Science Lab"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Lab","institution_ids":["https://openalex.org/I4400573203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068600217","display_name":"Richard M. Murray","orcid":"https://orcid.org/0000-0002-5785-7481"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.M. Murray","raw_affiliation_strings":["California Institute of Technology, USA","California  Institute of Technology"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033274288"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":0.5081,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.67988362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"3","issue":null,"first_page":"3273","last_page":"3278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9995999932289124,"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":0.9995999932289124,"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/T11008","display_name":"Aerodynamics and Acoustics in Jet Flows","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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":0.9954000115394592,"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/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.5881833434104919},{"id":"https://openalex.org/keywords/point-of-delivery","display_name":"Point of delivery","score":0.5809337496757507},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.5743616819381714},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5665401220321655},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5387507677078247},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5191187858581543},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5097247958183289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070745944976807},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4881635308265686},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47650423645973206},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46178844571113586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3563095033168793},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3452419340610504},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3273133635520935},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16265875101089478}],"concepts":[{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.5881833434104919},{"id":"https://openalex.org/C137776501","wikidata":"https://www.wikidata.org/wiki/Q7208270","display_name":"Point of delivery","level":2,"score":0.5809337496757507},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.5743616819381714},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5665401220321655},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5387507677078247},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5191187858581543},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5097247958183289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070745944976807},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4881635308265686},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47650423645973206},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46178844571113586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3563095033168793},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3452419340610504},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3273133635520935},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16265875101089478},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2002.1184376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:92939","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20190214-123721078","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1579236455","https://openalex.org/W1633869374","https://openalex.org/W1750761497","https://openalex.org/W1996007549","https://openalex.org/W2065998336","https://openalex.org/W2101679467","https://openalex.org/W2103042879","https://openalex.org/W2104111591","https://openalex.org/W2129140311","https://openalex.org/W2225101156","https://openalex.org/W2263390994","https://openalex.org/W2327473197","https://openalex.org/W2330313625","https://openalex.org/W2333625551","https://openalex.org/W3021394930","https://openalex.org/W3023209408","https://openalex.org/W6638008644","https://openalex.org/W6689186217"],"related_works":["https://openalex.org/W2914126368","https://openalex.org/W2039262714","https://openalex.org/W4238997598","https://openalex.org/W4247269991","https://openalex.org/W120161679","https://openalex.org/W2049521192","https://openalex.org/W2188135746","https://openalex.org/W244130144","https://openalex.org/W2063820552","https://openalex.org/W2967266163"],"abstract_inverted_index":{"We":[0,19],"use":[1],"POD":[2,118],"(proper":[3],"orthogonal":[4],"decomposition)/Galerkin":[5],"projection":[6],"to":[7,48,59,121],"investigate":[8],"and":[9,30,40,108,130],"derive":[10],"reduced-order":[11,61,122],"models":[12,62,123],"of":[13,16,45,51,63,87,106],"the":[14,34,52,57,64,67,72,111],"dynamics":[15,74],"compressible":[17],"flows.":[18],"examine":[20],"DNS":[21],"data":[22],"for":[23,56,137],"two":[24],"flows,":[25],"a":[26],"turbulent":[27],"M=0.9":[28],"jet":[29],"self-sustained":[31],"oscillations":[32],"in":[33],"flow":[35,139],"over":[36],"an":[37],"open":[38],"cavity,":[39,58],"show":[41,70],"how":[42],"different":[43,49,60,138],"choices":[44],"norm":[46],"lead":[47,120],"definitions":[50],"energetic":[53],"structures,":[54],"and,":[55],"dynamics.":[65],"For":[66,110],"jet,":[68],"we":[69,114],"that":[71,84,99,116,124],"near-field":[73],"are":[75,93,100,125],"fairly":[76],"well":[77,95],"represented":[78],"by":[79,97],"relatively":[80],"few":[81],"modes,":[82],"but":[83],"key":[85],"processes":[86],"interest,":[88],"such":[89],"as":[90],"acoustic":[91],"radiation,":[92],"not":[94],"captured":[96],"norms":[98],"defined":[101,135],"based":[102],"on":[103],"volume":[104],"integrals":[105],"pressure":[107],"velocity.":[109],"cavity":[112],"flow,":[113],"demonstrate":[115],"vector-valued":[117],"modes":[119,134],"much":[126],"more":[127],"effective":[128],"(accurate":[129],"stable)":[131],"than":[132],"scalar-valued":[133],"independently":[136],"variables.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}