{"id":"https://openalex.org/W1968541242","doi":"https://doi.org/10.1515/cmam-2014-0029","title":"Analysis of Model Variance for Ensemble Based Turbulence Modeling","display_name":"Analysis of Model Variance for Ensemble Based Turbulence Modeling","publication_year":2014,"publication_date":"2014-12-23","ids":{"openalex":"https://openalex.org/W1968541242","doi":"https://doi.org/10.1515/cmam-2014-0029","mag":"1968541242"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2014-0029","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0029","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11511/45878","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060285534","display_name":"Nan Jiang","orcid":"https://orcid.org/0000-0002-1080-258X"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nan Jiang","raw_affiliation_strings":["Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046259835","display_name":"Song\u00fcl Kaya","orcid":"https://orcid.org/0000-0003-4231-3630"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Songul Kaya","raw_affiliation_strings":["Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey","institution_ids":["https://openalex.org/I201799495"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064202954","display_name":"William Layton","orcid":"https://orcid.org/0000-0002-2539-4478"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Layton","raw_affiliation_strings":["Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060285534"],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":null,"apc_paid":null,"fwci":2.2541,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.85924466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"173","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9950000047683716,"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/T10266","display_name":"Plant Water Relations and Carbon Dynamics","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/turbulence-modeling","display_name":"Turbulence modeling","score":0.7337172627449036},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6396162509918213},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.6122118234634399},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.584896445274353},{"id":"https://openalex.org/keywords/statistical-ensemble","display_name":"Statistical ensemble","score":0.5654067993164062},{"id":"https://openalex.org/keywords/ensemble-forecasting","display_name":"Ensemble forecasting","score":0.556977391242981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5410413146018982},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5357500910758972},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4997420310974121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4719378650188446},{"id":"https://openalex.org/keywords/predictability","display_name":"Predictability","score":0.459803968667984},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.444538414478302},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4437454342842102},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2881370186805725},{"id":"https://openalex.org/keywords/canonical-ensemble","display_name":"Canonical ensemble","score":0.26886680722236633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20829826593399048},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.19944167137145996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1433965563774109},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12214282155036926},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1086818277835846},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.07840490341186523}],"concepts":[{"id":"https://openalex.org/C204573209","wikidata":"https://www.wikidata.org/wiki/Q1417609","display_name":"Turbulence modeling","level":3,"score":0.7337172627449036},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6396162509918213},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.6122118234634399},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.584896445274353},{"id":"https://openalex.org/C50311922","wikidata":"https://www.wikidata.org/wiki/Q898535","display_name":"Statistical ensemble","level":4,"score":0.5654067993164062},{"id":"https://openalex.org/C119898033","wikidata":"https://www.wikidata.org/wiki/Q3433888","display_name":"Ensemble forecasting","level":2,"score":0.556977391242981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5410413146018982},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5357500910758972},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4997420310974121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4719378650188446},{"id":"https://openalex.org/C197640229","wikidata":"https://www.wikidata.org/wiki/Q2534066","display_name":"Predictability","level":2,"score":0.459803968667984},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.444538414478302},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4437454342842102},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2881370186805725},{"id":"https://openalex.org/C28556851","wikidata":"https://www.wikidata.org/wiki/Q1077753","display_name":"Canonical ensemble","level":3,"score":0.26886680722236633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20829826593399048},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.19944167137145996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1433965563774109},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12214282155036926},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1086818277835846},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.07840490341186523},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"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/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2014-0029","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0029","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:open.metu.edu.tr:11511/45878","is_oa":true,"landing_page_url":"https://hdl.handle.net/11511/45878","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:open.metu.edu.tr:11511/45878","is_oa":true,"landing_page_url":"https://hdl.handle.net/11511/45878","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W105972687","https://openalex.org/W1480681685","https://openalex.org/W1969540751","https://openalex.org/W1987259268","https://openalex.org/W2022315116","https://openalex.org/W2029309765","https://openalex.org/W2030963577","https://openalex.org/W2040425799","https://openalex.org/W2049741199","https://openalex.org/W2063241008","https://openalex.org/W2086297633","https://openalex.org/W2087778158","https://openalex.org/W2095041371","https://openalex.org/W2111862079","https://openalex.org/W2127634967","https://openalex.org/W2770281238","https://openalex.org/W2913728931","https://openalex.org/W4300493681"],"related_works":["https://openalex.org/W1982485375","https://openalex.org/W4317234252","https://openalex.org/W2916519550","https://openalex.org/W4281260407","https://openalex.org/W2121349473","https://openalex.org/W3202800081","https://openalex.org/W2065350539","https://openalex.org/W2068723896","https://openalex.org/W4385726925","https://openalex.org/W1665647760"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"report":[2],"develops":[3],"an":[4,16,21],"ensemble":[5,17,28,32,71],"or":[6],"statistical":[7,54],"eddy":[8,33],"viscosity":[9,34,42],"model.":[10],"The":[11,24,70],"model":[12],"is":[13,73],"parameterized":[14],"by":[15,83],"of":[18,20,27,39],"solutions":[19],"ensemble-Leray":[22],"regularization.":[23],"combined":[25],"approach":[26],"time":[29],"stepping":[30],"and":[31,48],"modeling":[35],"allows":[36],"direct":[37],"parametrization":[38],"the":[40,50,60],"turbulent":[41],"coefficient.":[43],"We":[44],"prove":[45],"unconditional":[46],"stability":[47],"that":[49],"model's":[51,61],"solution":[52],"approaches":[53],"equilibrium":[55],"as":[56,66],"t":[57,67],"\u2192":[58,68],"\u221e;":[59],"variance":[62],"converges":[63],"to":[64,75],"zero":[65],"\u221e.":[69],"method":[72],"used":[74],"interrogate":[76],"a":[77],"rotating":[78],"flow,":[79],"testing":[80],"its":[81],"predictability":[82],"computing":[84],"effective":[85],"averaged":[86],"Lyapunov":[87],"exponents.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}
