{"id":"https://openalex.org/W7224222664","doi":"https://doi.org/10.1017/jfm.2026.12205","title":"Linear-model-based estimation of turbulent fluctuations in compressible turbulent boundary layers","display_name":"Linear-model-based estimation of turbulent fluctuations in compressible turbulent boundary layers","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224222664","doi":"https://doi.org/10.1017/jfm.2026.12205"},"language":"en","primary_location":{"id":"doi:10.1017/jfm.2026.12205","doi":"https://doi.org/10.1017/jfm.2026.12205","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jfm.2026.12205","pdf_url":null,"source":{"id":"https://openalex.org/S152000018","display_name":"Journal of Fluid Mechanics","issn_l":"0022-1120","issn":["0022-1120","1469-7645","1750-6859"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Fluid Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5057382755","display_name":"Yitong Fan","orcid":"https://orcid.org/0000-0001-8583-9670","observed_orcids":["https://orcid.org/0000-0001-8583-9670","https://orcid.org/0009-0000-8134-6270"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yitong Fan","raw_affiliation_strings":["Shanghai Jiao Tong University"],"raw_orcid":"https://orcid.org/0000-0001-8583-9670","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100644118","display_name":"Hong Liu","orcid":"https://orcid.org/0000-0001-9011-8309","observed_orcids":["https://orcid.org/0000-0001-9011-8309"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Liu","raw_affiliation_strings":["Shanghai Jiao Tong University"],"raw_orcid":"https://orcid.org/0000-0001-9011-8309","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039352762","display_name":"Weipeng Li","orcid":"https://orcid.org/0000-0002-0335-4934","observed_orcids":["https://orcid.org/0000-0002-0335-4934","https://orcid.org/0009-0003-1105-555X"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weipeng Li","raw_affiliation_strings":["Shanghai Jiao Tong University"],"raw_orcid":"https://orcid.org/0000-0002-0335-4934","affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057382755"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.7595491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1046","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9550999999046326,"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":0.9550999999046326,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.035999998450279236,"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/T10944","display_name":"Turbomachinery Performance and Optimization","score":0.0026000000070780516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compressible-turbulent-boundary-layer","display_name":"compressible turbulent boundary layer","score":0.9539999961853027},{"id":"https://openalex.org/keywords/turbulent-fluctuations","display_name":"turbulent fluctuations","score":0.6949999928474426},{"id":"https://openalex.org/keywords/temperature-fluctuations","display_name":"temperature fluctuations","score":0.7229999899864197},{"id":"https://openalex.org/keywords/velocity-fluctuations","display_name":"velocity fluctuations","score":0.7870000004768372},{"id":"https://openalex.org/keywords/mach-number-effects","display_name":"Mach number effects","score":0.6859999895095825},{"id":"https://openalex.org/keywords/adiabatic-walls","display_name":"adiabatic walls","score":0.7730000019073486},{"id":"https://openalex.org/keywords/cross-spectral-density","display_name":"cross-spectral density","score":0.7940000295639038}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6758000254631042},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.623199999332428},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.6173999905586243},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5695000290870667},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4830000102519989},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.47839999198913574},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4496999979019165},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.4422000050544739},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.4259999990463257},{"id":"https://openalex.org/C18533594","wikidata":"https://www.wikidata.org/wiki/Q1227572","display_name":"Direct numerical simulation","level":4,"score":0.4156000018119812},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4081999957561493},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.39959999918937683},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.35760000348091125},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33719998598098755},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3246000111103058},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C46634527","wikidata":"https://www.wikidata.org/wiki/Q4682630","display_name":"Adiabatic wall","level":3,"score":0.303600013256073},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2831000089645386},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C86338904","wikidata":"https://www.wikidata.org/wiki/Q1757268","display_name":"Planetary boundary layer","level":3,"score":0.2727000117301941},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.27230000495910645},{"id":"https://openalex.org/C151890184","wikidata":"https://www.wikidata.org/wiki/Q1660471","display_name":"Boundary layer thickness","level":3,"score":0.27140000462532043},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.2700999975204468}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/jfm.2026.12205","doi":"https://doi.org/10.1017/jfm.2026.12205","is_oa":false,"landing_page_url":"https://doi.org/10.1017/jfm.2026.12205","pdf_url":null,"source":{"id":"https://openalex.org/S152000018","display_name":"Journal of Fluid Mechanics","issn_l":"0022-1120","issn":["0022-1120","1469-7645","1750-6859"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Fluid Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1968837713","https://openalex.org/W1994493474","https://openalex.org/W1998108051","https://openalex.org/W2024018027","https://openalex.org/W2039150507","https://openalex.org/W2053013933","https://openalex.org/W2072281465","https://openalex.org/W2083454022","https://openalex.org/W2090131196","https://openalex.org/W2112754727","https://openalex.org/W2143998937","https://openalex.org/W2151715184","https://openalex.org/W2157772548","https://openalex.org/W2315764759","https://openalex.org/W2521689523","https://openalex.org/W2617897332","https://openalex.org/W2625816490","https://openalex.org/W2746980346","https://openalex.org/W2792239802","https://openalex.org/W2810861273","https://openalex.org/W2894865497","https://openalex.org/W2910217749","https://openalex.org/W2913055143","https://openalex.org/W2947789070","https://openalex.org/W2950892306","https://openalex.org/W2963448313","https://openalex.org/W2983004914","https://openalex.org/W3000238923","https://openalex.org/W3012894137","https://openalex.org/W3014135910","https://openalex.org/W3025709882","https://openalex.org/W3046663616","https://openalex.org/W3132342070","https://openalex.org/W3194005044","https://openalex.org/W3204350948","https://openalex.org/W3210517168","https://openalex.org/W4214681338","https://openalex.org/W4286566120","https://openalex.org/W4296041254","https://openalex.org/W4313530694","https://openalex.org/W4321459458","https://openalex.org/W4378652983","https://openalex.org/W4379056572","https://openalex.org/W4385416580","https://openalex.org/W4387821087","https://openalex.org/W4388195358","https://openalex.org/W4389567586","https://openalex.org/W4393148775","https://openalex.org/W4401701504","https://openalex.org/W4402685956","https://openalex.org/W4403738193","https://openalex.org/W4405697757","https://openalex.org/W4412512931","https://openalex.org/W4412691027","https://openalex.org/W4417262963"],"related_works":["https://openalex.org/W4387821087","https://openalex.org/W2790110384","https://openalex.org/W4415297100","https://openalex.org/W2797655619","https://openalex.org/W2188174005","https://openalex.org/W4413360183","https://openalex.org/W2016432026","https://openalex.org/W4378652983","https://openalex.org/W3035607012","https://openalex.org/W2946057015"],"abstract_inverted_index":{"Linear-model-based":[0],"estimation":[1,41,106,122,216],"provides":[2],"an":[3,191],"equation-based":[4],"route":[5],"to":[6,100,135,203],"reconstruct":[7],"turbulent":[8,18,49],"fluctuations":[9,46,282],"from":[10],"limited":[11],"measurements,":[12],"but":[13],"its":[14],"performance":[15],"in":[16,47,148,271],"compressible":[17,48],"boundary":[19,50],"layers":[20],"depends":[21],"critically":[22],"on":[23,163],"both":[24,73],"the":[25,29,79,84,94,105,111,114,121,126,143,152,158,184,205,224,230,246,251,256,260],"inter-layer":[26,159,239],"coherence":[27,86,131,165,240],"and":[28,38,44,70,75,138,169,194,198,210,255,263,273,276],"modelling":[30],"of":[31,177,207,217],"nonlinear":[32],"forcing.":[33],"This":[34],"study":[35],"systematically":[36],"extends":[37],"assesses":[39],"linear-model-based":[40,178],"for":[42,280],"velocity":[43,145,168],"temperature":[45,130,155,170,281],"layers,":[51],"using":[52,174,223],"a":[53,195,214],"logarithmic-region":[54],"measurement":[55,127],"plane":[56,107],"at":[57],"Mach":[58,136],"numbers":[59],"upper":[60],"M":[61,64],"equals":[62],"2":[63,66],"=":[65],"$M=2$":[67],",":[68],"4":[69],"6":[71],"under":[72,283],"adiabatic-":[74],"cold-wall":[76,149,284],"conditions.":[77,285],"With":[78],"direct":[80],"numerical":[81],"simulation":[82],"databases,":[83],"linear":[85,186],"spectra":[87],"are":[88,172,244,269,277],"first":[89],"analysed.":[90],"Results":[91],"show":[92],"that":[93,238],"recoverable":[95],"information":[96],"is":[97,108,201,221,237],"mainly":[98],"confined":[99],"large":[101],"scales":[102,243],"especially":[103,147],"when":[104],"located":[109],"near":[110],"wall,":[112],"whereas":[113],"coherent":[115],"scale":[116],"range":[117],"broadens":[118],"markedly":[119],"as":[120],"location":[123],"moves":[124],"towards":[125],"plane.":[128],"The":[129,233],"exhibits":[132],"stronger":[133],"sensitivity":[134],"number":[137],"wall":[139],"thermal":[140,160],"condition":[141],"than":[142],"streamwise":[144],"coherence,":[146],"cases":[150],"where":[151],"non-monotonic":[153],"mean":[154],"profile":[156],"alters":[157],"correlation.":[161],"Based":[162],"these":[164],"characteristics,":[166],"large-scale":[167],"snapshots":[171],"reconstructed":[173,252],"three":[175],"levels":[176],"estimation.":[179],"A":[180],"controlled":[181],"hierarchy":[182],"comprising":[183],"baseline":[185],"model":[187,200,258],"with":[188],"white":[189],"forcing,":[190],"eddy-viscosity-corrected":[192],"operator":[193,208],"combined":[196],"eddy-viscosity":[197,247],"forcing":[199,211,257],"used":[202],"distinguish":[204],"effects":[206],"correction":[209,248],"closure.":[212],"Finally,":[213],"single-plane-calibrated":[215],"wall-normal":[218,264],"fluctuation-energy":[219],"profiles":[220],"performed":[222],"response":[225,253],"cross-spectral":[226],"density":[227],"estimated":[228],"by":[229],"Lyapunov":[231],"formulation.":[232],"principal":[234],"physical":[235],"insight":[236],"determines":[241],"which":[242],"recoverable,":[245],"primarily":[249],"improves":[250],"structure":[254],"modifies":[259],"fluctuation":[261],"amplitude":[262],"energy":[265],"redistribution.":[266],"These":[267],"roles":[268],"distinct":[270],"instantaneous":[272],"statistical":[274],"reconstruction":[275],"particularly":[278],"important":[279]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}
