{"id":"https://openalex.org/W4413190045","doi":"https://doi.org/10.1063/5.0278921","title":"Lattice Boltzmann method for tempered space-fractional advection-diffusion equation with applications to tempered fractional transport","display_name":"Lattice Boltzmann method for tempered space-fractional advection-diffusion equation with applications to tempered fractional transport","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4413190045","doi":"https://doi.org/10.1063/5.0278921"},"language":"en","primary_location":{"id":"doi:10.1063/5.0278921","doi":"https://doi.org/10.1063/5.0278921","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0278921","pdf_url":null,"source":{"id":"https://openalex.org/S22862804","display_name":"Physics of Fluids","issn_l":"1070-6631","issn":["1070-6631","1089-7666","1527-2435"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Physics of 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/A5042833601","display_name":"Junjie Ren","orcid":"https://orcid.org/0000-0002-2889-0629","observed_orcids":["https://orcid.org/0000-0002-2889-0629"]},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Ren","raw_affiliation_strings":["School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China"],"raw_orcid":"https://orcid.org/0000-0002-2889-0629","affiliations":[{"raw_affiliation_string":"School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108155496","display_name":"Jie Song","orcid":"https://orcid.org/0009-0009-5132-3436","observed_orcids":["https://orcid.org/0009-0009-5132-3436"]},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Song","raw_affiliation_strings":["School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China"],"raw_orcid":"https://orcid.org/0009-0009-5132-3436","affiliations":[{"raw_affiliation_string":"School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China","institution_ids":["https://openalex.org/I165745306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165745306"],"apc_list":null,"apc_paid":null,"fwci":0.8914,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68012696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"37","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.7143999934196472,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.7143999934196472,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.25760000944137573,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.0015999999595806003,"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/lattice-boltzmann-method","display_name":"lattice Boltzmann method","score":0.9869999885559082},{"id":"https://openalex.org/keywords/second-order-accuracy","display_name":"second-order accuracy","score":0.8700000047683716},{"id":"https://openalex.org/keywords/point-source-release","display_name":"point source release","score":0.9210000038146973},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"anomalous diffusion","score":0.8690000176429749}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9132148027420044},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.7454320192337036},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.5452471375465393},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.5329649448394775},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5136058330535889},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.5092793703079224},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5001318454742432},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4724200963973999},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4122408330440521},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3705939054489136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32785090804100037},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3226749897003174},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2752193212509155},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.11956232786178589},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10796070098876953},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09926867485046387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/5.0278921","doi":"https://doi.org/10.1063/5.0278921","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0278921","pdf_url":null,"source":{"id":"https://openalex.org/S22862804","display_name":"Physics of Fluids","issn_l":"1070-6631","issn":["1070-6631","1089-7666","1527-2435"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Physics of Fluids","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7309312121","display_name":null,"funder_award_id":"51904253","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W72036692","https://openalex.org/W1531510807","https://openalex.org/W1992773065","https://openalex.org/W1993680495","https://openalex.org/W2004798461","https://openalex.org/W2005990778","https://openalex.org/W2019187650","https://openalex.org/W2028477351","https://openalex.org/W2043922553","https://openalex.org/W2065697505","https://openalex.org/W2069455332","https://openalex.org/W2076841461","https://openalex.org/W2077508082","https://openalex.org/W2083686360","https://openalex.org/W2099111135","https://openalex.org/W2105597528","https://openalex.org/W2118072570","https://openalex.org/W2119104548","https://openalex.org/W2133374930","https://openalex.org/W2148932306","https://openalex.org/W2155570053","https://openalex.org/W2339590167","https://openalex.org/W2346293458","https://openalex.org/W2586153606","https://openalex.org/W2592461921","https://openalex.org/W2601682680","https://openalex.org/W2606007529","https://openalex.org/W2624859201","https://openalex.org/W2626352366","https://openalex.org/W2732134578","https://openalex.org/W2792677218","https://openalex.org/W2859119397","https://openalex.org/W2896765605","https://openalex.org/W2906694036","https://openalex.org/W2913368086","https://openalex.org/W2941705112","https://openalex.org/W2963593921","https://openalex.org/W3040330965","https://openalex.org/W3061608325","https://openalex.org/W3109268241","https://openalex.org/W4250501155","https://openalex.org/W4310712821","https://openalex.org/W4380879361","https://openalex.org/W4389475092","https://openalex.org/W4395469243","https://openalex.org/W4403119392","https://openalex.org/W4403383489","https://openalex.org/W4410521346","https://openalex.org/W4410964973","https://openalex.org/W4410965362","https://openalex.org/W4411060898","https://openalex.org/W4411135762","https://openalex.org/W4411605611"],"related_works":["https://openalex.org/W44857498","https://openalex.org/W2062900651","https://openalex.org/W2528667048","https://openalex.org/W2099172367","https://openalex.org/W1988875562","https://openalex.org/W2954522738","https://openalex.org/W2501432554","https://openalex.org/W2073833928","https://openalex.org/W2212467624","https://openalex.org/W1813852515"],"abstract_inverted_index":{"Advection\u2212diffusion":[0],"phenomena":[1],"are":[2],"widespread":[3],"in":[4,139],"numerous":[5],"scientific":[6],"and":[7,33,105,118,141],"engineering":[8],"disciplines.":[9],"However,":[10],"the":[11,20,28,36,44,53,57,79,90,93,103,132,136],"classical":[12],"advection\u2212diffusion":[13,30],"equation":[14,31,95],"is":[15,111],"often":[16],"insufficient":[17],"to":[18,51,62,113],"capture":[19],"inherent":[21],"complexities":[22],"of":[23,46,135],"these":[24],"phenomena.":[25],"In":[26,69],"contrast,":[27],"space-fractional":[29],"(SFADE)":[32],"its":[34],"extension,":[35],"tempered":[37,54,80,120,137],"SFADE,":[38,55],"offer":[39],"more":[40],"accurate":[41],"descriptions.":[42],"Despite":[43],"development":[45],"several":[47],"traditional":[48],"numerical":[49,100,129],"methods":[50],"solve":[52,63],"employing":[56],"lattice":[58],"Boltzmann":[59],"method":[60],"(LBM)":[61],"it":[64],"remains":[65],"a":[66,74,115,127],"significant":[67],"challenge.":[68],"this":[70],"study,":[71],"we":[72,87],"propose":[73],"novel":[75],"LBM":[76,91,110],"tailored":[77],"for":[78],"SFADE.":[81],"By":[82],"utilizing":[83],"Maxwell":[84],"iteration":[85],"method,":[86],"demonstrate":[88],"that":[89],"recovers":[92],"target":[94],"with":[96],"second-order":[97],"accuracy.":[98],"Three":[99],"examples":[101],"validate":[102],"effectiveness":[104],"convergence":[106],"order.":[107],"The":[108],"proposed":[109],"employed":[112],"simulate":[114],"point-source":[116],"release":[117],"explore":[119],"fractional":[121],"diffusion":[122],"characteristics.":[123],"This":[124],"work":[125],"provides":[126],"new":[128],"tool,":[130],"promoting":[131],"wider":[133],"application":[134],"SFADE":[138],"science":[140],"engineering.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
