{"id":"https://openalex.org/W2918242160","doi":"https://doi.org/10.1137/19m1248327","title":"Data Assimilation in Large Prandtl Rayleigh--B\u00e9nard Convection from Thermal Measurements","display_name":"Data Assimilation in Large Prandtl Rayleigh--B\u00e9nard Convection from Thermal Measurements","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2918242160","doi":"https://doi.org/10.1137/19m1248327","mag":"2918242160"},"language":"en","primary_location":{"id":"doi:10.1137/19m1248327","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248327","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1903.01508.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003337183","display_name":"Aseel Farhat","orcid":"https://orcid.org/0000-0002-8535-7126"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Farhat","raw_affiliation_strings":["FLORIDA STATE UNIV"],"affiliations":[{"raw_affiliation_string":"FLORIDA STATE UNIV","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058571963","display_name":"Nathan Glatt-Holtz","orcid":"https://orcid.org/0000-0002-4031-8924"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. E. Glatt-Holtz","raw_affiliation_strings":["Tulane University"],"affiliations":[{"raw_affiliation_string":"Tulane University","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024441710","display_name":"Vincent R. Martinez","orcid":"https://orcid.org/0000-0003-1417-4223"},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. R. Martinez","raw_affiliation_strings":["City University of New York"],"affiliations":[{"raw_affiliation_string":"City University of New York","institution_ids":["https://openalex.org/I174216632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046495690","display_name":"Shane A. McQuarrie","orcid":"https://orcid.org/0000-0003-0231-5359"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. A. McQuarrie","raw_affiliation_strings":["University of Texas at Austin"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033349928","display_name":"Jared P. Whitehead","orcid":"https://orcid.org/0000-0003-1936-0754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. P. Whitehead","raw_affiliation_strings":["Brigham-Young University"],"affiliations":[{"raw_affiliation_string":"Brigham-Young University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5003337183"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3593,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51994428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1","first_page":"510","last_page":"540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9969000220298767,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.9267172813415527},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5849916338920593},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4911801517009735},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4643232226371765},{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.46191859245300293},{"id":"https://openalex.org/keywords/turbulent-prandtl-number","display_name":"Turbulent Prandtl number","score":0.4573180079460144},{"id":"https://openalex.org/keywords/rayleigh-number","display_name":"Rayleigh number","score":0.4497881531715393},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4424755871295929},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4392056167125702},{"id":"https://openalex.org/keywords/rayleigh-scattering","display_name":"Rayleigh scattering","score":0.41171061992645264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40011903643608093},{"id":"https://openalex.org/keywords/natural-convection","display_name":"Natural convection","score":0.3672807216644287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3550252914428711},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33656036853790283},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.2360132336616516},{"id":"https://openalex.org/keywords/nusselt-number","display_name":"Nusselt number","score":0.07885059714317322},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06163892149925232}],"concepts":[{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.9267172813415527},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5849916338920593},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4911801517009735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4643232226371765},{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.46191859245300293},{"id":"https://openalex.org/C181824747","wikidata":"https://www.wikidata.org/wiki/Q2067621","display_name":"Turbulent Prandtl number","level":5,"score":0.4573180079460144},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.4497881531715393},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4424755871295929},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4392056167125702},{"id":"https://openalex.org/C46244369","wikidata":"https://www.wikidata.org/wiki/Q193709","display_name":"Rayleigh scattering","level":2,"score":0.41171061992645264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40011903643608093},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.3672807216644287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3550252914428711},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33656036853790283},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.2360132336616516},{"id":"https://openalex.org/C130230704","wikidata":"https://www.wikidata.org/wiki/Q898280","display_name":"Nusselt number","level":4,"score":0.07885059714317322},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06163892149925232},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1248327","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248327","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"mag:2918242160","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1903.01508.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1903.01508","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.01508","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"mag:2918242160","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1903.01508.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1801124968","display_name":null,"funder_award_id":"DMS-1313272","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G290687359","display_name":null,"funder_award_id":"515990","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4117192978","display_name":null,"funder_award_id":"DMS-1816551","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/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":85,"referenced_works":["https://openalex.org/W1466924688","https://openalex.org/W1526160613","https://openalex.org/W1539881364","https://openalex.org/W1558620054","https://openalex.org/W1594759473","https://openalex.org/W1596195796","https://openalex.org/W1804226590","https://openalex.org/W1925472001","https://openalex.org/W1971653981","https://openalex.org/W1972837497","https://openalex.org/W1979749650","https://openalex.org/W1980617250","https://openalex.org/W1980933872","https://openalex.org/W1981449228","https://openalex.org/W1999848050","https://openalex.org/W2005193783","https://openalex.org/W2009945525","https://openalex.org/W2017916506","https://openalex.org/W2023480419","https://openalex.org/W2026172681","https://openalex.org/W2035587664","https://openalex.org/W2041863660","https://openalex.org/W2045663124","https://openalex.org/W2047417234","https://openalex.org/W2048551346","https://openalex.org/W2065297008","https://openalex.org/W2068039185","https://openalex.org/W2068871549","https://openalex.org/W2072699775","https://openalex.org/W2080468968","https://openalex.org/W2084338811","https://openalex.org/W2088417707","https://openalex.org/W2088485833","https://openalex.org/W2098721690","https://openalex.org/W2110070006","https://openalex.org/W2112550298","https://openalex.org/W2112958117","https://openalex.org/W2121187723","https://openalex.org/W2135464766","https://openalex.org/W2138059707","https://openalex.org/W2141394518","https://openalex.org/W2157693175","https://openalex.org/W2160937494","https://openalex.org/W2162475049","https://openalex.org/W2164361520","https://openalex.org/W2164826144","https://openalex.org/W2168899527","https://openalex.org/W2175869447","https://openalex.org/W2179256182","https://openalex.org/W2179596748","https://openalex.org/W2201851948","https://openalex.org/W2271217558","https://openalex.org/W2276982093","https://openalex.org/W2322441122","https://openalex.org/W2331308056","https://openalex.org/W2551282305","https://openalex.org/W2551542430","https://openalex.org/W2596083410","https://openalex.org/W2606284829","https://openalex.org/W2610906132","https://openalex.org/W2612299678","https://openalex.org/W2773450228","https://openalex.org/W2781608692","https://openalex.org/W2781629936","https://openalex.org/W2799011959","https://openalex.org/W2800362522","https://openalex.org/W2801886458","https://openalex.org/W2889985324","https://openalex.org/W2960680849","https://openalex.org/W2962760563","https://openalex.org/W2963112073","https://openalex.org/W2963314344","https://openalex.org/W2963894671","https://openalex.org/W2964178943","https://openalex.org/W2973153139","https://openalex.org/W2979747372","https://openalex.org/W2991498340","https://openalex.org/W3098741006","https://openalex.org/W3101512171","https://openalex.org/W3103531110","https://openalex.org/W3104728148","https://openalex.org/W3125802632","https://openalex.org/W3141151088","https://openalex.org/W3148800415","https://openalex.org/W4254596117"],"related_works":["https://openalex.org/W2324572820","https://openalex.org/W141548758","https://openalex.org/W2098501499","https://openalex.org/W331368652","https://openalex.org/W3131744042","https://openalex.org/W2205980949","https://openalex.org/W2947955250","https://openalex.org/W2791112187","https://openalex.org/W2591633465","https://openalex.org/W2103898010","https://openalex.org/W3026260459","https://openalex.org/W2898252727","https://openalex.org/W3158468879","https://openalex.org/W2200463947","https://openalex.org/W2060837449","https://openalex.org/W2183249009","https://openalex.org/W3003246529","https://openalex.org/W2789231469","https://openalex.org/W3157047663","https://openalex.org/W2889949547"],"abstract_inverted_index":{"This":[0],"work":[1],"applies":[2],"a":[3,17,117],"continuous":[4],"data":[5],"assimilation":[6],"scheme---a":[7],"framework":[8],"for":[9,83,146],"reconciling":[10],"sparse":[11],"and":[12,44,61],"potentially":[13],"noisy":[14],"observations":[15],"to":[16,40,45,116],"mathematical":[18],"model---to":[19],"Rayleigh--B\u00e9nard":[20],"convection":[21],"at":[22],"infinite":[23,113],"or":[24],"large":[25,118,148],"Prandtl":[26,36,114,121,149],"numbers":[27,37],"using":[28],"only":[29,145],"the":[30,41,58,62,66,79,109,135],"temperature":[31],"field":[32],"as":[33],"observables.":[34],"These":[35],"are":[38,85,101,139],"applicable":[39],"earth's":[42],"mantle":[43],"gases":[46],"under":[47],"high":[48],"pressure.":[49],"We":[50,104],"rigorously":[51],"identify":[52],"conditions":[53,82,97],"that":[54,78,89,134],"guarantee":[55],"synchronization":[56,84,91],"between":[57],"observed":[59],"system":[60],"model,":[63],"then":[64],"confirm":[65],"applicability":[67],"of":[68,98,111,125,142],"these":[69],"results":[70,138],"via":[71],"numerical":[72,75],"simulations.":[73],"Our":[74],"experiments":[76],"show":[77],"analytically":[80],"derived":[81],"far":[86],"from":[87],"sharp;":[88],"is,":[90],"often":[92],"occurs":[93],"even":[94],"when":[95],"sufficient":[96],"our":[99],"theorems":[100],"not":[102],"met.":[103],"also":[105],"develop":[106],"estimates":[107],"on":[108],"convergence":[110],"an":[112],"model":[115],"(but":[119],"finite)":[120],"number":[122],"generated":[123],"set":[124],"observations.":[126],"Numerical":[127],"simulations":[128],"in":[129],"this":[130],"hybrid":[131],"setting":[132],"indicate":[133],"mathematically":[136],"rigorous":[137],"accurate,":[140],"but":[141],"practical":[143],"interest":[144],"extremely":[147],"numbers.":[150]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
