{"id":"https://openalex.org/W2148023684","doi":"https://doi.org/10.1002/fld.1975","title":"An efficient numerical solution for linear stability of circular jet: A combination of Petrov\u2013Galerkin spectral method and exponential coordinate transformation based on Fornberg's treatment","display_name":"An efficient numerical solution for linear stability of circular jet: A combination of Petrov\u2013Galerkin spectral method and exponential coordinate transformation based on Fornberg's treatment","publication_year":2008,"publication_date":"2008-12-04","ids":{"openalex":"https://openalex.org/W2148023684","doi":"https://doi.org/10.1002/fld.1975","mag":"2148023684"},"language":"en","primary_location":{"id":"doi:10.1002/fld.1975","doi":"https://doi.org/10.1002/fld.1975","is_oa":false,"landing_page_url":"https://doi.org/10.1002/fld.1975","pdf_url":null,"source":{"id":"https://openalex.org/S155225502","display_name":"International Journal for Numerical Methods in Fluids","issn_l":"0271-2091","issn":["0271-2091","1097-0363"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Fluids","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/A5047987813","display_name":"Mingliang Xie","orcid":"https://orcid.org/0000-0002-3628-7571","observed_orcids":["https://orcid.org/0000-0002-3628-7571"]},"institutions":[{"id":"https://openalex.org/I4391767933","display_name":"State Key Laboratory of Coal Combustion","ror":"https://ror.org/03y1aw075","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767933","https://openalex.org/I47720641"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"M. L. Xie","raw_affiliation_strings":["The State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I4391767933","https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075033104","display_name":"Jianzhong Lin","orcid":"https://orcid.org/0000-0001-8418-1176","observed_orcids":["https://orcid.org/0000-0001-8418-1176"]},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"J. Z. Lin","raw_affiliation_strings":["China Jiliang University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Jiliang University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I55538621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075033104"],"corresponding_institution_ids":["https://openalex.org/I55538621"],"apc_list":{"value":4220,"currency":"USD","value_usd":4220},"apc_paid":null,"fwci":1.3965,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81730801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"61","issue":"7","first_page":"780","last_page":"795"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.5116999745368958,"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":0.5116999745368958,"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":0.30320000648498535,"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/T11008","display_name":"Aerodynamics and Acoustics in Jet Flows","score":0.08009999990463257,"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/circular-jet","display_name":"circular jet","score":0.8309999704360962},{"id":"https://openalex.org/keywords/linear-stability","display_name":"linear stability","score":0.7789999842643738},{"id":"https://openalex.org/keywords/round-jet","display_name":"axisymmetric jet","score":0.6320000290870667},{"id":"https://openalex.org/keywords/solenoidal-vector-fields","display_name":"solenoidal vector fields","score":0.8119999766349792},{"id":"https://openalex.org/keywords/spectral-accuracy","display_name":"spectral accuracy","score":0.43299999833106995},{"id":"https://openalex.org/keywords/unbounded-domains","display_name":"unbounded domains","score":0.6940000057220459}],"concepts":[{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.8056911826133728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7498945593833923},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5918925404548645},{"id":"https://openalex.org/C2778540877","wikidata":"https://www.wikidata.org/wiki/Q7179155","display_name":"Petrov\u2013Galerkin method","level":3,"score":0.5820131897926331},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5742697715759277},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5404449701309204},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5403554439544678},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5375463962554932},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.44344648718833923},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.43150651454925537},{"id":"https://openalex.org/C119947313","wikidata":"https://www.wikidata.org/wiki/Q5596635","display_name":"Jet (fluid)","level":2,"score":0.4309360384941101},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4179898202419281},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.41036438941955566},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2776169776916504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20735213160514832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13332447409629822},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/fld.1975","doi":"https://doi.org/10.1002/fld.1975","is_oa":false,"landing_page_url":"https://doi.org/10.1002/fld.1975","pdf_url":null,"source":{"id":"https://openalex.org/S155225502","display_name":"International Journal for Numerical Methods in Fluids","issn_l":"0271-2091","issn":["0271-2091","1097-0363"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical Methods in Fluids","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W565460793","https://openalex.org/W1587415653","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1968838235","https://openalex.org/W1974210344","https://openalex.org/W1985313219","https://openalex.org/W1985944800","https://openalex.org/W1987983777","https://openalex.org/W1995244151","https://openalex.org/W2005605050","https://openalex.org/W2007211908","https://openalex.org/W2034039529","https://openalex.org/W2035532227","https://openalex.org/W2040148987","https://openalex.org/W2041244330","https://openalex.org/W2042163089","https://openalex.org/W2055541567","https://openalex.org/W2059100210","https://openalex.org/W2068246286","https://openalex.org/W2077651848","https://openalex.org/W2081797143","https://openalex.org/W2090043357","https://openalex.org/W2112154987","https://openalex.org/W2113006754","https://openalex.org/W2160777249","https://openalex.org/W2166061423","https://openalex.org/W2168549682","https://openalex.org/W2551293865","https://openalex.org/W2787201801","https://openalex.org/W3147960852","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2382532955","https://openalex.org/W2106962382","https://openalex.org/W4213342932","https://openalex.org/W2056379897","https://openalex.org/W2074316639","https://openalex.org/W2541927208","https://openalex.org/W2980465122","https://openalex.org/W2273439916","https://openalex.org/W2361346113","https://openalex.org/W2052337595"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"the":[4,39,42,65,70,83,95,101,104,112,116],"linear":[5,43],"stability":[6,44],"analysis":[7],"of":[8,41,103],"a":[9,13,18,49],"round":[10],"jet":[11],"in":[12,91,111,120],"radially":[14],"unbounded":[15],"domain":[16],"using":[17,82],"spectral":[19,34,109],"Petrov\u2013Galerkin":[20,33],"scheme":[21,107],"coped":[22],"with":[23,122],"exponential":[24],"coordinate":[25],"transformation":[26],"based":[27,46],"on":[28,47,94],"Fornberg's":[29],"treatment.":[30],"A":[31],"Fourier\u2013Chebyshev":[32],"method":[35],"is":[36,89],"described":[37],"for":[38,100],"computation":[40],"equations":[45],"half":[48],"Gauss\u2013Lobatto":[50],"mesh.":[51],"Complex":[52],"basis":[53],"functions":[54,79],"presented":[55,90],"here":[56],"are":[57,119],"exponentially":[58],"mapped":[59],"as":[60],"Chebyshev":[61],"functions,":[62],"which":[63],"satisfy":[64],"pole":[66],"condition":[67],"exactly":[68],"at":[69],"origin,":[71],"and":[72,115],"can":[73],"be":[74],"used":[75,99],"to":[76],"expand":[77],"vector":[78,97],"efficiently":[80],"by":[81],"solenoidal":[84,96],"condition.":[85],"The":[86,106],"mathematical":[87],"formulation":[88],"detail":[92],"focusing":[93],"field":[98],"approximation":[102],"flow.":[105],"provides":[108],"accuracy":[110],"present":[113],"cases":[114],"numerical":[117],"results":[118],"agreement":[121],"former":[123],"works.":[124],"Copyright":[125],"\u00a9":[126],"2008":[127],"John":[128],"Wiley":[129],"&":[130],"Sons,":[131],"Ltd.":[132]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2025-10-10T00:00:00"}
