{"id":"https://openalex.org/W4413393823","doi":"https://doi.org/10.23919/acc63710.2025.11107604","title":"Chorin Projection Reduced Order Model for Control of Navier-Stokes Equations","display_name":"Chorin Projection Reduced Order Model for Control of Navier-Stokes Equations","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413393823","doi":"https://doi.org/10.23919/acc63710.2025.11107604"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107604","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","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/A5073151578","display_name":"S. S. Ravindran","orcid":"https://orcid.org/0000-0002-8099-8389"},"institutions":[{"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":"S. S. Ravindran","raw_affiliation_strings":["University of Alabama in Huntsville,Huntsville,USA,AL35899"],"affiliations":[{"raw_affiliation_string":"University of Alabama in Huntsville,Huntsville,USA,AL35899","institution_ids":["https://openalex.org/I82495205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073151578"],"corresponding_institution_ids":["https://openalex.org/I82495205"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12467427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1113","last_page":"1118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.7592999935150146,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.7592999935150146,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.7590000033378601,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.7516000270843506,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.6408448219299316},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.577233076095581},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.538030207157135},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43232622742652893},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.41607773303985596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39690089225769043},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38548964262008667},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3459843397140503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2782640755176544},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25365009903907776},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20874401926994324},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19213464856147766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1117219626903534},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.09408929944038391},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.0874032974243164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08300125598907471}],"concepts":[{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.6408448219299316},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.577233076095581},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.538030207157135},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43232622742652893},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.41607773303985596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39690089225769043},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38548964262008667},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3459843397140503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2782640755176544},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25365009903907776},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20874401926994324},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19213464856147766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1117219626903534},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.09408929944038391},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.0874032974243164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08300125598907471},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107604","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2393270639","https://openalex.org/W774881382","https://openalex.org/W2617963432","https://openalex.org/W2296570413","https://openalex.org/W2033390858","https://openalex.org/W2899022965","https://openalex.org/W2615976479","https://openalex.org/W3149161931","https://openalex.org/W2774026033","https://openalex.org/W2019487448"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"efficient":[4],"Chorin-projection":[5,97],"reduced":[6,98],"order":[7,99],"model":[8,31,100],"based":[9],"on":[10],"proper":[11],"orthogonal":[12],"decomposition":[13],"(POD-ROM)":[14],"for":[15,52,77],"control":[16,82,105],"of":[17,36,47,59,94,104,106],"Navier-Stokes":[18],"equations":[19],"modeling":[20],"viscous":[21],"incompressible":[22],"flows.":[23],"The":[24],"proposed":[25],"POD-ROM":[26],"is":[27],"a":[28,109],"velocity-pressure":[29],"reduced-order":[30,37],"but":[32],"decouples":[33],"the":[34,48,57,65,78,90,95,102],"computation":[35],"velocity":[38],"and":[39,81,92],"pressure.":[40],"Furthermore,":[41],"it":[42],"does":[43],"not":[44],"require":[45],"satisfaction":[46],"so-called":[49],"inf-sup":[50],"condition":[51],"mixed":[53],"POD":[54],"subspaces":[55],"with":[56],"help":[58],"in-built":[60],"pressure":[61],"stabilization":[62,71],"provided":[63],"by":[64],"projection":[66],"method":[67],"without":[68],"adding":[69],"extra":[70],"terms.":[72],"We":[73],"derive":[74],"error":[75],"estimates":[76],"state,":[79],"adjoint":[80],"variables.":[83],"Numerical":[84],"studies":[85],"are":[86],"performed":[87],"to":[88],"discuss":[89],"accuracy":[91],"performance":[93],"new":[96],"in":[101],"simulation":[103],"flow":[107],"past":[108],"backward-facing":[110],"step":[111],"channel.":[112]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}