{"id":"https://openalex.org/W1624968397","doi":null,"title":"Parameterization of subgrid-scale stress by the velocity gradient tensor","display_name":"Parameterization of subgrid-scale stress by the velocity gradient tensor","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1624968397","mag":"1624968397"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6340","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6340","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mae.uta.edu/~lund/brief92.ps.Z","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5002681944","display_name":"Thomas Lund","orcid":"https://orcid.org/0000-0001-9486-7753","observed_orcids":["https://orcid.org/0000-0001-9486-7753"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Lund","raw_affiliation_strings":["Stanford Univ., CA (United States)"],"raw_orcid":"https://orcid.org/0000-0001-9486-7753","affiliations":[{"raw_affiliation_string":"Stanford Univ., CA (United States)","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069600468","display_name":"Evgeny A. Novikov","orcid":"https://orcid.org/0000-0002-8154-301X","observed_orcids":["https://orcid.org/0000-0002-8154-301X"]},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"\u0415. \u0410. \u041d\u043e\u0432\u0438\u043a\u043e\u0432","raw_affiliation_strings":["California Univ., San Diego (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Univ., San Diego (United States)","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4015,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.86066713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"27","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9473000168800354,"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":0.9473000168800354,"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":0.046300001442432404,"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/T10553","display_name":"Combustion and flame dynamics","score":0.00139999995008111,"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/subgrid-scale-stress","display_name":"subgrid-scale stress","score":0.9559999704360962},{"id":"https://openalex.org/keywords/velocity-gradient-tensor","display_name":"velocity gradient tensor","score":0.9380000233650208},{"id":"https://openalex.org/keywords/strain-rate-tensor","display_name":"strain rate tensor","score":0.8479999899864197},{"id":"https://openalex.org/keywords/vorticity-tensor","display_name":"vorticity tensor","score":0.8809999823570251},{"id":"https://openalex.org/keywords/subgrid-scale-modeling","display_name":"subgrid-scale modeling","score":0.7210000157356262},{"id":"https://openalex.org/keywords/cayley-hamilton-theorem","display_name":"Cayley-Hamilton theorem","score":0.9359999895095825},{"id":"https://openalex.org/keywords/homogeneous-isotropic-turbulence","display_name":"homogeneous isotropic turbulence","score":0.9300000071525574},{"id":"https://openalex.org/keywords/turbulence-closure-models","display_name":"turbulence closure","score":0.4429999887943268}],"concepts":[{"id":"https://openalex.org/C74691360","wikidata":"https://www.wikidata.org/wiki/Q7621125","display_name":"Strain rate tensor","level":3,"score":0.6866799592971802},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6786050796508789},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6407198905944824},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.621880054473877},{"id":"https://openalex.org/C171338203","wikidata":"https://www.wikidata.org/wiki/Q13409892","display_name":"Cauchy stress tensor","level":2,"score":0.6171602606773376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6153619289398193},{"id":"https://openalex.org/C149342994","wikidata":"https://www.wikidata.org/wiki/Q3181055","display_name":"Strain rate","level":2,"score":0.5455079674720764},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5313689708709717},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5029842257499695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4552222490310669},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.4292795956134796},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.4186423718929291},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41528668999671936},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.41439494490623474},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3338526487350464},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2702319025993347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26531386375427246},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2527008652687073},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.12852448225021362},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11866074800491333},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6340","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6340","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mae.uta.edu/~lund/brief92.ps.Z","raw_type":"text"},{"id":"pmh:oai:casi.ntrs.nasa.gov:19940007814","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2060/19940007814","pdf_url":null,"source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CASI","raw_type":"Annual Research Briefs, 1992; p 27-43"},{"id":"mag:1624968397","doi":null,"is_oa":false,"landing_page_url":"https://ntrs.nasa.gov/search.jsp?R=19940007814","pdf_url":null,"source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210124779","host_organization_name":"National Aeronautics and Space Administration","host_organization_lineage":["https://openalex.org/I4210124779"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1528581602","https://openalex.org/W1597359858","https://openalex.org/W1662045270","https://openalex.org/W1966617633","https://openalex.org/W1991797087","https://openalex.org/W2086778591","https://openalex.org/W2091886411","https://openalex.org/W2141733977","https://openalex.org/W2168795429"],"related_works":["https://openalex.org/W2962938465","https://openalex.org/W1662045270","https://openalex.org/W2996213044","https://openalex.org/W1553608069","https://openalex.org/W3032964700","https://openalex.org/W2358186402","https://openalex.org/W2991455562","https://openalex.org/W1970251463","https://openalex.org/W3184772337","https://openalex.org/W2102963043"],"abstract_inverted_index":{"The":[0],"objective":[1],"of":[2,36,44,62,68,76],"this":[3,77],"work":[4],"is":[5,33],"to":[6,52],"construct":[7],"and":[8,19,39,71],"evaluate":[9],"subgrid-scale":[10,31,82],"models":[11],"that":[12,29],"depend":[13],"on":[14],"both":[15],"the":[16,20,30,37,45,54,60,69],"strain":[17,38,70],"rate":[18,41],"vorticity.":[21],"This":[22],"will":[23,84],"be":[24,50,85],"accomplished":[25],"by":[26],"first":[27],"assuming":[28],"stress":[32],"a":[34,63,81],"function":[35],"rotation":[40,72],"tensors.":[42],"Extensions":[43],"Caley-Hamilton":[46],"theorem":[47],"can":[48],"then":[49],"used":[51],"write":[53],"assumed":[55],"functional":[56],"dependence":[57],"explicitly":[58],"in":[59],"form":[61],"tensor":[64],"polynomial":[65],"involving":[66],"products":[67],"rates.":[73],"Finally,":[74],"use":[75],"explicit":[78],"expression":[79],"as":[80],"model":[83],"evaluated":[86],"using":[87],"direct":[88],"numerical":[89],"simulation":[90],"data":[91],"for":[92],"homogeneous,":[93],"isotropic":[94],"turbulence.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}