{"id":"https://openalex.org/W4412921830","doi":"https://doi.org/10.1007/s40314-025-03344-2","title":"Stabilized POD reduced order models for convection-dominated incompressible flows","display_name":"Stabilized POD reduced order models for convection-dominated incompressible flows","publication_year":2025,"publication_date":"2025-07-25","ids":{"openalex":"https://openalex.org/W4412921830","doi":"https://doi.org/10.1007/s40314-025-03344-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03344-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03344-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03344-2.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03344-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010208750","display_name":"Pierfrancesco Siena","orcid":"https://orcid.org/0009-0007-2124-0598"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Pierfrancesco Siena","raw_affiliation_strings":["Mathematics Area, mathLab, SISSA, International School for Advanced Studies, Trieste, Italy","Mathematics Area, mathLab, SISSA, International School for Advanced Studies, via Bonomea 265, Trieste, 34136, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Area, mathLab, SISSA, International School for Advanced Studies, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"Mathematics Area, mathLab, SISSA, International School for Advanced Studies, via Bonomea 265, Trieste, 34136, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042245533","display_name":"Michele Girfoglio","orcid":"https://orcid.org/0000-0003-1766-2265"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michele Girfoglio","raw_affiliation_strings":["Department of Engineering, University of Palermo, Palermo, Italy","Department of Engineering, University of Palermo, Viale delle Scienze, Ed. 8, Palermo, 90128, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Palermo, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]},{"raw_affiliation_string":"Department of Engineering, University of Palermo, Viale delle Scienze, Ed. 8, Palermo, 90128, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000102598","display_name":"Annalisa Quaini","orcid":"https://orcid.org/0000-0001-9686-9058"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Annalisa Quaini","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, USA","Department of Mathematics, University of Houston, 3551 Cullen Blvd, Houston, TX, 77204, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston, 3551 Cullen Blvd, Houston, TX, 77204, USA","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061558433","display_name":"Gianluigi Rozza","orcid":"https://orcid.org/0000-0002-0810-8812"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Gianluigi Rozza","raw_affiliation_strings":["Mathematics Area, mathLab, SISSA, International School for Advanced Studies, Trieste, Italy","Mathematics Area, mathLab, SISSA, International School for Advanced Studies, via Bonomea 265, Trieste, 34136, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0810-8812","affiliations":[{"raw_affiliation_string":"Mathematics Area, mathLab, SISSA, International School for Advanced Studies, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"Mathematics Area, mathLab, SISSA, International School for Advanced Studies, via Bonomea 265, Trieste, 34136, Italy","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000102598","https://openalex.org/A5010208750","https://openalex.org/A5042245533","https://openalex.org/A5061558433"],"corresponding_institution_ids":["https://openalex.org/I138549579","https://openalex.org/I44461941","https://openalex.org/I900890020"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":2.7343,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.90415942,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"44","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9958999752998352,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-of-delivery","display_name":"Point of delivery","score":0.7602435946464539},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6099172234535217},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5805076360702515},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5616581439971924},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4791566729545593},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3678382635116577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3373836874961853},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2725433111190796},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.20617201924324036},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06255820393562317}],"concepts":[{"id":"https://openalex.org/C137776501","wikidata":"https://www.wikidata.org/wiki/Q7208270","display_name":"Point of delivery","level":2,"score":0.7602435946464539},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6099172234535217},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5805076360702515},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5616581439971924},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4791566729545593},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3678382635116577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3373836874961853},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2725433111190796},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.20617201924324036},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06255820393562317},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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":2,"locations":[{"id":"doi:10.1007/s40314-025-03344-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03344-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03344-2.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unipa.it:10447/690715","is_oa":true,"landing_page_url":"https://hdl.handle.net/10447/690715","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s40314-025-03344-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03344-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03344-2.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2247212197","display_name":null,"funder_award_id":"GNCS 2019","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G450780426","display_name":null,"funder_award_id":"DMS-1953535","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7013037140","display_name":null,"funder_award_id":"2019-2020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8967750854","display_name":"Fusion-Inducing Liposomes for Efficient Intracellular Delivery: Continuum Models and Experiments","funder_award_id":"1953535","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320314064","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412921830.pdf","grobid_xml":"https://content.openalex.org/works/W4412921830.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1489519217","https://openalex.org/W1514210705","https://openalex.org/W1556380381","https://openalex.org/W1894486443","https://openalex.org/W1982808783","https://openalex.org/W2004026774","https://openalex.org/W2005586154","https://openalex.org/W2006254762","https://openalex.org/W2017745440","https://openalex.org/W2026123674","https://openalex.org/W2033116323","https://openalex.org/W2051994050","https://openalex.org/W2052690618","https://openalex.org/W2054552802","https://openalex.org/W2059473928","https://openalex.org/W2073594627","https://openalex.org/W2085042525","https://openalex.org/W2088638050","https://openalex.org/W2097652335","https://openalex.org/W2106090507","https://openalex.org/W2110187357","https://openalex.org/W2110967954","https://openalex.org/W2114631302","https://openalex.org/W2115043729","https://openalex.org/W2133041109","https://openalex.org/W2137618150","https://openalex.org/W2139168617","https://openalex.org/W2142703030","https://openalex.org/W2147414751","https://openalex.org/W2161155740","https://openalex.org/W2168575889","https://openalex.org/W2295099209","https://openalex.org/W2324265483","https://openalex.org/W2517689716","https://openalex.org/W2766298346","https://openalex.org/W2766387390","https://openalex.org/W2804974381","https://openalex.org/W2901473328","https://openalex.org/W2963286708","https://openalex.org/W3004113558","https://openalex.org/W3011566663","https://openalex.org/W3011851713","https://openalex.org/W3173624651","https://openalex.org/W3201378086","https://openalex.org/W4381955062"],"related_works":["https://openalex.org/W1480038316","https://openalex.org/W4383033865","https://openalex.org/W3142541575","https://openalex.org/W2375444032","https://openalex.org/W4313588295","https://openalex.org/W2352729895","https://openalex.org/W2329675728","https://openalex.org/W1991415308","https://openalex.org/W3216700519","https://openalex.org/W2064853461"],"abstract_inverted_index":{"Abstract":[0],"We":[1,129],"present":[2],"a":[3,27,49,57,105,118,144,147,151,164],"comparative":[4],"computational":[5,84],"study":[6],"of":[7,17,23,26,67,88,121,143],"two":[8,100],"stabilized":[9,132],"Reduced":[10],"Order":[11],"Models":[12],"(ROMs)":[13],"for":[14,124,134],"the":[15,24,33,68,72,79,86,111,125,131,159],"simulation":[16],"convection-dominated":[18],"incompressible":[19],"flow":[20,136],"(Reynolds":[21],"number":[22,87],"order":[25],"few":[28],"thousands).":[29],"Representative":[30],"solutions":[31],"in":[32,137],"parameter":[34],"space,":[35],"which":[36],"includes":[37],"either":[38],"time":[39,42],"only":[40],"or":[41],"and":[43,53,93,115,150],"Reynolds":[44],"number,":[45],"are":[46],"computed":[47],"with":[48],"Finite":[50],"Volume":[51],"method":[52],"used":[54,76],"to":[55,77,110],"generate":[56],"reduced":[58,73,112],"basis":[59],"via":[60],"Proper":[61],"Orthogonal":[62],"Decomposition":[63],"(POD).":[64],"Galerkin":[65],"projection":[66],"Navier\u2013Stokes":[69],"equations":[70],"onto":[71],"space":[74],"is":[75,91,97],"compute":[78],"ROM":[80,94,160],"solution.":[81],"To":[82],"ensure":[83],"efficiency,":[85],"POD":[89,127],"modes":[90],"truncated":[92],"solution":[95,161],"accuracy":[96,162],"recovered":[98],"through":[99],"stabilization":[101,155],"methods:":[102],"(i)":[103],"adding":[104,117],"global":[106],"constant":[107],"artificial":[108,122],"viscosity":[109,123],"dimensional":[113],"model,":[114],"(ii)":[116],"different":[119,126],"value":[120],"modes.":[128],"test":[130],"ROMs":[133],"fluid":[135],"an":[138],"idealized":[139],"medical":[140],"device":[141],"consisting":[142],"conical":[145],"convergent,":[146],"narrow":[148],"throat,":[149],"sudden":[152],"expansion.":[153],"Both":[154],"methods":[156],"significantly":[157],"improve":[158],"over":[163],"standard":[165],"(non-stabilized)":[166],"POD-Galerkin":[167],"model.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}