{"id":"https://openalex.org/W2018515341","doi":"https://doi.org/10.1007/s10915-007-9159-3","title":"Discrete Rotational Symmetry, Moment Isotropy, and\u00a0Higher Order Lattice Boltzmann Models","display_name":"Discrete Rotational Symmetry, Moment Isotropy, and\u00a0Higher Order Lattice Boltzmann Models","publication_year":2007,"publication_date":"2007-10-02","ids":{"openalex":"https://openalex.org/W2018515341","doi":"https://doi.org/10.1007/s10915-007-9159-3","mag":"2018515341"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-007-9159-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-007-9159-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5029992822","display_name":"Hudong Chen","orcid":"https://orcid.org/0009-0005-6653-6195"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hudong Chen","raw_affiliation_strings":["Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","Exa Corporation, Burlington, USA","Exa Corporation, Burlington, USA 01821#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","institution_ids":[]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA","institution_ids":[]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA 01821#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032616977","display_name":"I. Goldhirsch","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Isaac Goldhirsch","raw_affiliation_strings":["Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","Exa Corporation, Burlington, USA","School of Mechanical Engineering, Tel-Aviv University, Ramat-Aviv, Israel","Exa Corporation, Burlington, USA 01821 and School of Mechanical Engineering, Tel-Aviv University, Ramat-Aviv, Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","institution_ids":[]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical Engineering, Tel-Aviv University, Ramat-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA 01821 and School of Mechanical Engineering, Tel-Aviv University, Ramat-Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022506941","display_name":"Steven A. Orszag","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steven A. Orszag","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven, CT, 06510, USA","Department of Mathematics, Yale University, New Haven, USA","Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","Exa Corporation, Burlington, USA","Exa Corporation, Burlington, USA 01821 and Department of Mathematics, Yale University, New Haven, USA 06510#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, CT, 06510, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Exa Corporation, 3 Burlington Woods Drive, Burlington, MA, 01821, USA","institution_ids":[]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA","institution_ids":[]},{"raw_affiliation_string":"Exa Corporation, Burlington, USA 01821 and Department of Mathematics, Yale University, New Haven, USA 06510#TAB#","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022506941"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.5318,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.80930693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"34","issue":"1","first_page":"87","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":1.0,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9936000108718872,"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/T12163","display_name":"Aerosol Filtration and Electrostatic Precipitation","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/isotropy","display_name":"Isotropy","score":0.8130700588226318},{"id":"https://openalex.org/keywords/lattice-boltzmann-methods","display_name":"Lattice Boltzmann methods","score":0.7949125170707703},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.7053624391555786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6651115417480469},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5993495583534241},{"id":"https://openalex.org/keywords/hpp-model","display_name":"HPP model","score":0.5506014823913574},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.46329841017723083},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.45680660009384155},{"id":"https://openalex.org/keywords/isothermal-process","display_name":"Isothermal process","score":0.4482722580432892},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42478013038635254},{"id":"https://openalex.org/keywords/rotational-partition-function","display_name":"Rotational partition function","score":0.4132902920246124},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3871638774871826},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3304336667060852},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27114352583885193},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2627577781677246},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.161881685256958},{"id":"https://openalex.org/keywords/rotational-transition","display_name":"Rotational transition","score":0.15143263339996338},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13034051656723022},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"Angular momentum","score":0.10841789841651917}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8130700588226318},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.7949125170707703},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.7053624391555786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6651115417480469},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5993495583534241},{"id":"https://openalex.org/C67906445","wikidata":"https://www.wikidata.org/wiki/Q17027724","display_name":"HPP model","level":4,"score":0.5506014823913574},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.46329841017723083},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.45680660009384155},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.4482722580432892},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42478013038635254},{"id":"https://openalex.org/C75303097","wikidata":"https://www.wikidata.org/wiki/Q7370325","display_name":"Rotational partition function","level":4,"score":0.4132902920246124},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3871638774871826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3304336667060852},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27114352583885193},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2627577781677246},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.161881685256958},{"id":"https://openalex.org/C111167017","wikidata":"https://www.wikidata.org/wiki/Q3997523","display_name":"Rotational transition","level":3,"score":0.15143263339996338},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13034051656723022},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.10841789841651917},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-007-9159-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-007-9159-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1480555026","https://openalex.org/W1636846712","https://openalex.org/W1965480470","https://openalex.org/W1965750400","https://openalex.org/W1969064103","https://openalex.org/W1972169332","https://openalex.org/W1982933896","https://openalex.org/W1992773065","https://openalex.org/W1994001737","https://openalex.org/W1995514446","https://openalex.org/W2014786311","https://openalex.org/W2017297964","https://openalex.org/W2017700359","https://openalex.org/W2021035369","https://openalex.org/W2025977958","https://openalex.org/W2034893481","https://openalex.org/W2041264726","https://openalex.org/W2056820162","https://openalex.org/W2066060292","https://openalex.org/W2067020379","https://openalex.org/W2068702383","https://openalex.org/W2076102979","https://openalex.org/W2078298270","https://openalex.org/W2089954211","https://openalex.org/W2105857832","https://openalex.org/W2117242079","https://openalex.org/W2123950362","https://openalex.org/W2126642381","https://openalex.org/W2151177494","https://openalex.org/W2331079665","https://openalex.org/W3102905031","https://openalex.org/W4246727253","https://openalex.org/W4300646324"],"related_works":["https://openalex.org/W2411948770","https://openalex.org/W2091687378","https://openalex.org/W2026659976","https://openalex.org/W2083059313","https://openalex.org/W1600706040","https://openalex.org/W155120597","https://openalex.org/W2062900651","https://openalex.org/W2289107462","https://openalex.org/W2374711637","https://openalex.org/W2004213541"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}