{"id":"https://openalex.org/W4399573342","doi":"https://doi.org/10.1109/tim.2024.3413135","title":"Multilayer Visibility Graph-Based Ordinal Network for Revealing Gas\u2013Liquid Nonlinear Dynamic Flow Behaviors","display_name":"Multilayer Visibility Graph-Based Ordinal Network for Revealing Gas\u2013Liquid Nonlinear Dynamic Flow Behaviors","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399573342","doi":"https://doi.org/10.1109/tim.2024.3413135"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2024.3413135","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2024.3413135","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},"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/A5067891086","display_name":"Dongmei Lv","orcid":"https://orcid.org/0000-0001-6165-4049"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongmei Lv","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-6165-4049","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080578053","display_name":"Weidong Dang","orcid":"https://orcid.org/0000-0002-5898-4853"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Dang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-5898-4853","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044152939","display_name":"Ruiqi Min","orcid":"https://orcid.org/0009-0002-0656-9612"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Min","raw_affiliation_strings":["Shandong Guangyu Technology Company Ltd., Dongying, Shandong, China","Shandong Guangyu Technology Co., Ltd, Dongying, Shandong, China"],"raw_orcid":"https://orcid.org/0009-0002-0656-9612","affiliations":[{"raw_affiliation_string":"Shandong Guangyu Technology Company Ltd., Dongying, Shandong, China","institution_ids":[]},{"raw_affiliation_string":"Shandong Guangyu Technology Co., Ltd, Dongying, Shandong, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058246050","display_name":"Meng Wu","orcid":"https://orcid.org/0009-0006-0624-0832"},"institutions":[{"id":"https://openalex.org/I4210160637","display_name":"Gree (China)","ror":"https://ror.org/053zdpn86","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210160637"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Wu","raw_affiliation_strings":["CHNENERGY Zhuhai Port Company Ltd., Zhuhai, Guangdong, China","CHNENERGY Zhuhai Port Co., Ltd, Zhuhai, Guangdong, China"],"raw_orcid":"https://orcid.org/0009-0006-0624-0832","affiliations":[{"raw_affiliation_string":"CHNENERGY Zhuhai Port Company Ltd., Zhuhai, Guangdong, China","institution_ids":[]},{"raw_affiliation_string":"CHNENERGY Zhuhai Port Co., Ltd, Zhuhai, Guangdong, China","institution_ids":["https://openalex.org/I4210160637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026113129","display_name":"Wei Guo","orcid":"https://orcid.org/0000-0001-8175-5373"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Guo","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-8175-5373","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100722832","display_name":"Mengyu Li","orcid":"https://orcid.org/0000-0002-3591-5898"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengyu Li","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-3591-5898","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039877164","display_name":"R. Sh. Wang","orcid":"https://orcid.org/0009-0003-7585-799X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiqi Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0009-0003-7585-799X","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082820311","display_name":"Zhongke Gao","orcid":"https://orcid.org/0000-0002-9551-202X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongke Gao","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-9551-202X","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5067891086"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":1.0604,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73756794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"73","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10864","display_name":"Fluid Dynamics and Mixing","score":0.9420999884605408,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10864","display_name":"Fluid Dynamics and Mixing","score":0.9420999884605408,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12761","display_name":"Data Stream Mining Techniques","score":0.9049999713897705,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6084495782852173},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.5866754651069641},{"id":"https://openalex.org/keywords/visibility-graph","display_name":"Visibility graph","score":0.5651998519897461},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.49043962359428406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45865628123283386},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4461789131164551},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.413699209690094},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3313326835632324},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.22779610753059387},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.21743780374526978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2164076566696167},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17969119548797607},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10752683877944946},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09975984692573547}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6084495782852173},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.5866754651069641},{"id":"https://openalex.org/C173362246","wikidata":"https://www.wikidata.org/wiki/Q8216024","display_name":"Visibility graph","level":3,"score":0.5651998519897461},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.49043962359428406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45865628123283386},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4461789131164551},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.413699209690094},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3313326835632324},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22779610753059387},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.21743780374526978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2164076566696167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17969119548797607},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10752683877944946},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09975984692573547},{"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/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2024.3413135","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2024.3413135","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3578521740","display_name":null,"funder_award_id":"62373278","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6618491913","display_name":null,"funder_award_id":"S21JQE033","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G6865947110","display_name":null,"funder_award_id":"62306209","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7850877994","display_name":null,"funder_award_id":"2023M732596","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320323993","display_name":"Natural Science Foundation of Tianjin City","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W302833118","https://openalex.org/W1965893610","https://openalex.org/W1972151784","https://openalex.org/W1973739335","https://openalex.org/W1978416214","https://openalex.org/W1988043966","https://openalex.org/W1994179207","https://openalex.org/W2008343951","https://openalex.org/W2014683958","https://openalex.org/W2029173860","https://openalex.org/W2031365860","https://openalex.org/W2062082531","https://openalex.org/W2070722739","https://openalex.org/W2086317239","https://openalex.org/W2091752829","https://openalex.org/W2120006607","https://openalex.org/W2134383471","https://openalex.org/W2264565983","https://openalex.org/W2319555658","https://openalex.org/W2589257976","https://openalex.org/W2742400585","https://openalex.org/W2801166160","https://openalex.org/W2873123678","https://openalex.org/W2892217709","https://openalex.org/W2899125647","https://openalex.org/W2900881999","https://openalex.org/W2903099451","https://openalex.org/W2952202717","https://openalex.org/W2963768879","https://openalex.org/W2986739368","https://openalex.org/W2990427969","https://openalex.org/W3002272845","https://openalex.org/W3007561401","https://openalex.org/W3042189042","https://openalex.org/W3109248529","https://openalex.org/W3119898081","https://openalex.org/W3129433809","https://openalex.org/W3158506552","https://openalex.org/W3167293389","https://openalex.org/W3194756818","https://openalex.org/W3198665300","https://openalex.org/W3200273078","https://openalex.org/W3216293662","https://openalex.org/W3217571342","https://openalex.org/W4205375641","https://openalex.org/W4205539490","https://openalex.org/W4226018848","https://openalex.org/W4292223472","https://openalex.org/W4296311966","https://openalex.org/W4308417340","https://openalex.org/W4313889232","https://openalex.org/W4316021891","https://openalex.org/W4321488350","https://openalex.org/W4367663334","https://openalex.org/W4367835672","https://openalex.org/W4375928764","https://openalex.org/W4376127123","https://openalex.org/W4382051256","https://openalex.org/W4384518057"],"related_works":["https://openalex.org/W2743652671","https://openalex.org/W2911638885","https://openalex.org/W3188793535","https://openalex.org/W2032709970","https://openalex.org/W2066813664","https://openalex.org/W2094166299","https://openalex.org/W2519024191","https://openalex.org/W2963183586","https://openalex.org/W2159176266","https://openalex.org/W4388826510"],"abstract_inverted_index":{"Characterizing":[0],"the":[1,31,37,112,132,151,156,171],"nonlinear":[2,152],"dynamic":[3,153],"behaviors":[4,154],"of":[5,98,115,158],"gas\u2013liquid":[6,32,40,160],"two-phase":[7],"flow":[8,33,41,135,161],"is":[9,27,56,60],"a":[10,19,47,166],"challenging":[11],"but":[12,74],"rewarding":[13],"research":[14],"topic.":[15],"In":[16,35,117],"this":[17],"article,":[18],"novel":[20,167],"multilayer":[21],"visibility":[22,90],"graph-based":[23],"ordinal":[24],"network":[25,97],"(MVGON)":[26],"proposed":[28],"for":[29,109,131,169],"exploring":[30],"behaviors.":[34],"particular,":[36],"vertical":[38],"upward":[39],"experiments":[42],"are":[43,107,129],"first":[44],"conducted":[45],"in":[46],"50":[48],"mm":[49],"inner-diameter":[50],"pipe,":[51],"and":[52,102,122],"multivariate":[53,71,123,177],"measurement":[54],"data":[55],"acquired.":[57],"Then,":[58],"MVGON":[59,65,146],"inferred":[61],"from":[62],"experimental":[63],"signals.":[64],"not":[66],"only":[67],"can":[68],"effectively":[69,149],"fuse":[70],"time":[72,178],"series":[73,179],"also":[75],"enables":[76],"to":[77,137],"further":[78],"excavate":[79],"concise":[80],"key":[81],"information":[82],"based":[83,175],"on":[84,176],"inheriting":[85],"system":[86,173],"features":[87],"extracted":[88],"by":[89],"graph":[91,100],"(VG).":[92],"For":[93],"each":[94],"derived":[95],"projection":[96],"MVGON,":[99],"energy":[101],"average":[103],"clustering":[104],"coefficient":[105],"(ACC)":[106],"calculated":[108,130],"quantitatively":[110],"characterizing":[111,150,170],"topological":[113],"structure":[114],"MVGON.":[116],"addition,":[118],"permutation":[119],"entropy":[120],"(PE)":[121],"pseudo":[124],"Wigner":[125],"distribution-based":[126],"time\u2013frequency":[127],"distribution":[128],"three":[133],"typical":[134],"patterns":[136],"support":[138],"our":[139,145],"findings.":[140],"The":[141],"results":[142],"indicate":[143],"that":[144],"framework":[147],"allows":[148],"during":[155],"evolution":[157],"different":[159],"patterns.":[162],"Meanwhile,":[163],"it":[164],"provides":[165],"approach":[168],"complex":[172],"dynamics":[174],"analysis.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":6}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}