{"id":"https://openalex.org/W2050383973","doi":"https://doi.org/10.1137/s1064827597319805","title":"Nonlinear Stability of Compressible Thermal Lattice BGK Models","display_name":"Nonlinear Stability of Compressible Thermal Lattice BGK Models","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2050383973","doi":"https://doi.org/10.1137/s1064827597319805","mag":"2050383973"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827597319805","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597319805","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5047761003","display_name":"M. De Cicco","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. De Cicco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075643472","display_name":"Sauro Succi","orcid":"https://orcid.org/0000-0002-3070-3079"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Succi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057608338","display_name":"Gino Bella","orcid":"https://orcid.org/0000-0002-7526-1622"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Bella","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0679,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.76137502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"1","first_page":"366","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9990000128746033,"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":0.9984999895095825,"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/mathematics","display_name":"Mathematics","score":0.7774825096130371},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7264267206192017},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6912761330604553},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5653010606765747},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.5634649991989136},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5340679287910461},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46691516041755676},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4373501241207123},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42731738090515137},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37534886598587036},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23558688163757324},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.22859394550323486},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13574478030204773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061333149671554565}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7774825096130371},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7264267206192017},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6912761330604553},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5653010606765747},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.5634649991989136},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5340679287910461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46691516041755676},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4373501241207123},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42731738090515137},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37534886598587036},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23558688163757324},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22859394550323486},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13574478030204773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061333149671554565},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827597319805","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597319805","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4699999988079071,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W140154881","https://openalex.org/W1507795625","https://openalex.org/W1600883793","https://openalex.org/W1610717182","https://openalex.org/W1992773065","https://openalex.org/W1999914547","https://openalex.org/W2002894916","https://openalex.org/W2011817893","https://openalex.org/W2014786311","https://openalex.org/W2021035369","https://openalex.org/W2066060292","https://openalex.org/W2066573336","https://openalex.org/W2076022912","https://openalex.org/W2087896083","https://openalex.org/W2091387507"],"related_works":["https://openalex.org/W2070976931","https://openalex.org/W2914126368","https://openalex.org/W2039262714","https://openalex.org/W4238997598","https://openalex.org/W4247269991","https://openalex.org/W70032428","https://openalex.org/W120161679","https://openalex.org/W2049521192","https://openalex.org/W2908375145","https://openalex.org/W2188135746"],"abstract_inverted_index":{"The":[0,68],"nonlinear":[1],"stability":[2,66],"of":[3,12,18,41,58,71],"thermal":[4],"lattice":[5],"BGK":[6],"models":[7],"is":[8,26,35,52],"examined":[9],"by":[10],"means":[11],"computer":[13],"simulation":[14],"for":[15,79],"the":[16,33,50,56,72,84,87],"case":[17],"one-":[19],"and":[20,44,86],"two-":[21],"dimensional":[22],"compressible":[23,80],"flows.":[24],"It":[25],"shown":[27],"that":[28],"in":[29,55],"one":[30],"dimension":[31],"(1D)":[32],"method":[34,51,73],"stable":[36,53],"on":[37,63],"a":[38,64],"sizeable":[39],"range":[40],"flow":[42],"speeds":[43],"temperatures.":[45],"In":[46],"two":[47],"dimensions":[48],"(2D)":[49],"even":[54],"presence":[57],"negative":[59],"distribution":[60],"functions,":[61],"but":[62],"smaller":[65],"domain.":[67],"computational":[69],"efficiency":[70],"compares":[74],"favorably":[75],"with":[76],"classical":[77],"algorithms":[78],"flows,":[81],"such":[82],"as":[83],"$\\lambda$-scheme":[85],"Lax--Wendroff":[88],"scheme.":[89]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}