{"id":"https://openalex.org/W1982933896","doi":"https://doi.org/10.1016/0370-1573(92)90090-m","title":"The lattice Boltzmann equation: theory and applications","display_name":"The lattice Boltzmann equation: theory and applications","publication_year":1992,"publication_date":"1992-12-01","ids":{"openalex":"https://openalex.org/W1982933896","doi":"https://doi.org/10.1016/0370-1573(92)90090-m","mag":"1982933896"},"language":"en","primary_location":{"id":"doi:10.1016/0370-1573(92)90090-m","doi":"https://doi.org/10.1016/0370-1573(92)90090-m","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0370-1573(92)90090-m","pdf_url":null,"source":{"id":"https://openalex.org/S48633963","display_name":"Physics Reports","issn_l":"0370-1573","issn":["0370-1573","1873-6270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Reports","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/A5060013379","display_name":"Roberto Benzi","orcid":"https://orcid.org/0000-0002-5335-7068","observed_orcids":["https://orcid.org/0000-0002-5335-7068"]},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Benzi","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 \u201cTor Vergata\u201d, Via E. Carnevale, I-00173 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 \u201cTor Vergata\u201d, Via E. Carnevale, I-00173 Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075643472","display_name":"Sauro Succi A","orcid":"https://orcid.org/0000-0002-3070-3079","observed_orcids":["https://orcid.org/0000-0002-3070-3079"]},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Succi","raw_affiliation_strings":["IBM European Center for Scientific and Engineering Computing, Via Giorgione 159, I-00147 Rome, Italy","IBM European Center for Scientific and Engineering Computing, Via Giorgione 159, I-00147 Rome, Italy#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM European Center for Scientific and Engineering Computing, Via Giorgione 159, I-00147 Rome, Italy","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM European Center for Scientific and Engineering Computing, Via Giorgione 159, I-00147 Rome, Italy#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002478955","display_name":"Massimo Vergassola","orcid":"https://orcid.org/0000-0002-7212-8244","observed_orcids":["https://orcid.org/0000-0002-7212-8244"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Vergassola","raw_affiliation_strings":["CNRS, Observatoire de Nice, B.P. 229, F-06304 Nice Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Observatoire de Nice, B.P. 229, F-06304 Nice Cedex, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":6240,"currency":"USD","value_usd":6240},"apc_paid":null,"fwci":14.9023,"has_fulltext":false,"cited_by_count":2079,"citation_normalized_percentile":{"value":0.99537918,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"222","issue":"3","first_page":"145","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","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/T11751","display_name":"Lattice Boltzmann Simulation Studies","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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lattice-boltzmann-equation","display_name":"lattice Boltzmann equation","score":0.9829999804496765},{"id":"https://openalex.org/keywords/hydrodynamics","display_name":"hydrodynamics","score":0.9390000104904175},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"fluid dynamics","score":0.6290000081062317},{"id":"https://openalex.org/keywords/kinetic-theory-of-gases","display_name":"kinetic theory of gases","score":0.6359999775886536},{"id":"https://openalex.org/keywords/numerical-simulation-of-fluid-flow","display_name":"numerical simulation of fluid flow","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9191619157791138},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.828474223613739},{"id":"https://openalex.org/C67906445","wikidata":"https://www.wikidata.org/wiki/Q17027724","display_name":"HPP model","level":4,"score":0.7756903171539307},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.7257277965545654},{"id":"https://openalex.org/C156890611","wikidata":"https://www.wikidata.org/wiki/Q3099721","display_name":"Lattice gas automaton","level":4,"score":0.6687653064727783},{"id":"https://openalex.org/C19979193","wikidata":"https://www.wikidata.org/wiki/Q25100325","display_name":"Kinetic theory","level":2,"score":0.6624822616577148},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6189048290252686},{"id":"https://openalex.org/C102727969","wikidata":"https://www.wikidata.org/wiki/Q4901423","display_name":"Bhatnagar\u2013Gross\u2013Krook operator","level":5,"score":0.5405662655830383},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5011742115020752},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.40300092101097107},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3439035713672638},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3390892744064331},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21003037691116333},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19827935099601746},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C192499940","wikidata":"https://www.wikidata.org/wiki/Q17022326","display_name":"Stochastic cellular automaton","level":3,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0370-1573(92)90090-m","doi":"https://doi.org/10.1016/0370-1573(92)90090-m","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0370-1573(92)90090-m","pdf_url":null,"source":{"id":"https://openalex.org/S48633963","display_name":"Physics Reports","issn_l":"0370-1573","issn":["0370-1573","1873-6270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics Reports","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/7","score":0.47999998927116394,"display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1509522644","https://openalex.org/W1538135945","https://openalex.org/W1577886219","https://openalex.org/W1665537107","https://openalex.org/W1970643500","https://openalex.org/W1971621716","https://openalex.org/W1983445040","https://openalex.org/W1984392840","https://openalex.org/W1988171495","https://openalex.org/W1988280137","https://openalex.org/W2007092589","https://openalex.org/W2007844553","https://openalex.org/W2009913845","https://openalex.org/W2014786311","https://openalex.org/W2015610480","https://openalex.org/W2019125206","https://openalex.org/W2024070027","https://openalex.org/W2025429925","https://openalex.org/W2026216044","https://openalex.org/W2027278045","https://openalex.org/W2028293827","https://openalex.org/W2034997378","https://openalex.org/W2035157815","https://openalex.org/W2038054616","https://openalex.org/W2038207037","https://openalex.org/W2038628969","https://openalex.org/W2040259398","https://openalex.org/W2040757683","https://openalex.org/W2045163129","https://openalex.org/W2047159352","https://openalex.org/W2048806419","https://openalex.org/W2050962398","https://openalex.org/W2061575755","https://openalex.org/W2068702383","https://openalex.org/W2072063763","https://openalex.org/W2072099857","https://openalex.org/W2072511612","https://openalex.org/W2075334079","https://openalex.org/W2078916342","https://openalex.org/W2079738730","https://openalex.org/W2082108773","https://openalex.org/W2083659289","https://openalex.org/W2086017264","https://openalex.org/W2093106243","https://openalex.org/W2127274119","https://openalex.org/W2145300400","https://openalex.org/W2151177494","https://openalex.org/W2979559266","https://openalex.org/W3167739627","https://openalex.org/W4229684388","https://openalex.org/W4230191870","https://openalex.org/W4231354758","https://openalex.org/W4239085114"],"related_works":["https://openalex.org/W2411948770","https://openalex.org/W2062900651","https://openalex.org/W155120597","https://openalex.org/W2083059313","https://openalex.org/W2080583385","https://openalex.org/W2998626622","https://openalex.org/W2387290763","https://openalex.org/W108683351","https://openalex.org/W2289107462","https://openalex.org/W2134799823"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":27},{"year":2025,"cited_by_count":46},{"year":2024,"cited_by_count":43},{"year":2023,"cited_by_count":67},{"year":2022,"cited_by_count":63},{"year":2021,"cited_by_count":74},{"year":2020,"cited_by_count":83},{"year":2019,"cited_by_count":87},{"year":2018,"cited_by_count":74},{"year":2017,"cited_by_count":105},{"year":2016,"cited_by_count":90},{"year":2015,"cited_by_count":104},{"year":2014,"cited_by_count":105},{"year":2013,"cited_by_count":100},{"year":2012,"cited_by_count":84}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2025-10-10T00:00:00"}