{"id":"https://openalex.org/W2896478080","doi":"https://doi.org/10.1063/1.5048802","title":"Geometry of two-point velocity correlation tensor of homogeneous isotropic turbulence with helicity in sol-manifold coordinates","display_name":"Geometry of two-point velocity correlation tensor of homogeneous isotropic turbulence with helicity in sol-manifold coordinates","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2896478080","doi":"https://doi.org/10.1063/1.5048802","mag":"2896478080"},"language":"en","primary_location":{"id":"doi:10.1063/1.5048802","doi":"https://doi.org/10.1063/1.5048802","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.5048802","pdf_url":null,"source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","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/A5089514854","display_name":"Rohollah Bakhshandeh\u2010Chamazkoti","orcid":"https://orcid.org/0000-0002-3345-4055","observed_orcids":["https://orcid.org/0000-0002-3345-4055"]},"institutions":[{"id":"https://openalex.org/I84248293","display_name":"Babol Noshirvani University of Technology","ror":"https://ror.org/02zc85170","country_code":"IR","type":"education","lineage":["https://openalex.org/I84248293"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Rohollah Bakhshandeh Chamazkoti","raw_affiliation_strings":["Faculty of Basic Sciences, Babol Noshirvani University of Technology 1 , Babol, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Basic Sciences, Babol Noshirvani University of Technology 1 , Babol, Iran","institution_ids":["https://openalex.org/I84248293"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085437993","display_name":"Martin Oberlack","orcid":"https://orcid.org/0000-0002-5849-3755","observed_orcids":["https://orcid.org/0000-0002-5849-3755"]},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Oberlack","raw_affiliation_strings":["Technische Universitat Darmstadt 2 , Petersenstrae 30, Darmstadt 64287, Germany"],"raw_orcid":"https://orcid.org/0000-0002-5849-3755","affiliations":[{"raw_affiliation_string":"Technische Universitat Darmstadt 2 , Petersenstrae 30, Darmstadt 64287, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089514854"],"corresponding_institution_ids":["https://openalex.org/I84248293"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10224955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"10","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":0.7964000105857849,"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":0.7964000105857849,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.16910000145435333,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.006899999920278788,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/homogeneous-isotropic-turbulence","display_name":"homogeneous isotropic turbulence","score":0.9800000190734863},{"id":"https://openalex.org/keywords/helical-turbulence","display_name":"helical turbulence","score":0.871999979019165},{"id":"https://openalex.org/keywords/riemannian-metrics","display_name":"Riemannian metrics","score":0.8220000267028809},{"id":"https://openalex.org/keywords/geodesic-flow","display_name":"geodesic flow","score":0.8790000081062317},{"id":"https://openalex.org/keywords/integrable-systems","display_name":"integrable systems","score":0.8450000286102295},{"id":"https://openalex.org/keywords/conserved-quantities","display_name":"first integrals","score":0.9739999771118164},{"id":"https://openalex.org/keywords/conformal-symmetry","display_name":"conformal invariance","score":0.8799999952316284},{"id":"https://openalex.org/keywords/von-karman-howarth-equation","display_name":"von K\u00e1rm\u00e1n-Howarth equation","score":0.9319999814033508},{"id":"https://openalex.org/keywords/symmetry-groups","display_name":"symmetry groups","score":0.3959999978542328}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6368700265884399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5893159508705139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5498974323272705},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.421691358089447},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4152528643608093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4026939570903778},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37483251094818115},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.342154324054718},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1063/1.5048802","doi":"https://doi.org/10.1063/1.5048802","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.5048802","pdf_url":null,"source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:110179","doi":null,"is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/110179/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Life on land","id":"https://metadata.un.org/sdg/15","score":0.4300000071525574}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1545008561","display_name":null,"funder_award_id":"BNUT/391024/97","funder_id":"https://openalex.org/F4320323590","funder_display_name":"Babol Noshirvani University of Technology"}],"funders":[{"id":"https://openalex.org/F4320323590","display_name":"Babol Noshirvani University of Technology","ror":"https://ror.org/02zc85170"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1524073616","https://openalex.org/W1993631029","https://openalex.org/W2020448159","https://openalex.org/W2050258405","https://openalex.org/W2051309549","https://openalex.org/W2051523647","https://openalex.org/W2070815726","https://openalex.org/W2079682801","https://openalex.org/W2135993595","https://openalex.org/W2160072645","https://openalex.org/W3105759161"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W4287661821","https://openalex.org/W3133864228","https://openalex.org/W2941285539","https://openalex.org/W1579299075","https://openalex.org/W4206698794","https://openalex.org/W3089249579","https://openalex.org/W4286749417","https://openalex.org/W3126955880","https://openalex.org/W1982132340"],"abstract_inverted_index":{"In":[0],"this":[1,37,88],"paper,":[2],"a":[3,16,40,47],"geometric":[4],"model":[5],"of":[6,18,22,54,58,87,90,97,103,117,120,130,142,155],"homogeneous":[7],"isotropic":[8],"turbulence":[9],"with":[10],"helicity":[11],"in":[12,126],"three":[13,69],"dimensions":[14],"using":[15,113],"family":[17,89],"the":[19,27,50,55,63,76,85,94,104,114,118,127,140,145,150,153],"quadratic":[20,91],"forms":[21,92],"Riemannian":[23],"metrics":[24],"generated":[25],"by":[26],"two-point":[28],"correlation":[29],"tensor":[30],"field":[31],"is":[32,79,111],"investigated.":[33],"We":[34],"show":[35],"that":[36],"metric":[38,61,110],"induces":[39],"sol-metric":[41],"on":[42,62,107,149],"infinite":[43,64,133],"cylinder":[44,65],"R\u00d7T2":[45],"as":[46],"sol-manifold.":[48],"Using":[49],"corresponded":[51],"Hamiltonian":[52],"equation":[53],"geodesic":[56,77],"flow":[57,78],"our":[59,108],"sol":[60],"R\u00d7T2,":[66],"we":[67,82],"find":[68],"functionally":[70],"independent":[71],"first":[72],"integrals":[73],"and":[74,123,132],"then":[75],"integrable.":[80],"Moreover,":[81],"consider":[83],"how":[84],"terms":[86],"influence":[93],"length":[95],"scales":[96],"turbulent":[98],"motion.":[99],"The":[100],"conformal":[101],"invariance":[102],"corresponding":[105],"manifolds":[106],"Reimanian":[109],"proved":[112],"symmetry":[115],"group":[116],"system":[119],"von":[121],"Ka\u0301rma\u0301n\u2013Howarth":[122],"Chkhetiani\u2013Kurien":[124],"equations":[125],"two":[128],"limits":[129],"finite":[131],"Reynolds":[134],"numbers.":[135],"This":[136],"property":[137],"corresponds":[138],"to":[139],"conservation":[141],"angles":[143],"between":[144],"intersecting":[146],"curves":[147],"located":[148],"manifold":[151],"under":[152],"action":[154],"these":[156],"scaling":[157],"groups.":[158]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2018-10-26T00:00:00"}