{"id":"https://openalex.org/W7223285233","doi":"https://doi.org/10.48550/arxiv.2610.31072","title":"Extended-regularized lattice Boltzmann method","display_name":"Extended-regularized lattice Boltzmann method","publication_year":2026,"publication_date":"2026-10-22","ids":{"openalex":"https://openalex.org/W7223285233","doi":"https://doi.org/10.48550/arxiv.2610.31072"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.31072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31072","pdf_url":"https://arxiv.org/pdf/2610.31072","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.31072","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011192597","display_name":"Lu\u00eds Orlando Emerich dos Santos","orcid":"https://orcid.org/0000-0001-9106-4525","observed_orcids":["https://orcid.org/0000-0001-9106-4525"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Santos, Lu\u00eds Orlando Emerich dos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061640735","display_name":"Diogo Nardelli Siebert","orcid":"https://orcid.org/0000-0002-6153-3367","observed_orcids":["https://orcid.org/0000-0002-6153-3367"]},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Siebert, Diogo Nardelli","raw_affiliation_strings":["Department of Mobility Engineering , Federal University of Santa Catarina , Joinville , Santa Catarina , 89219-600 , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mobility Engineering , Federal University of Santa Catarina , Joinville , Santa Catarina , 89219-600 , Brazil","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.0005000000237487257,"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":0.00019999999494757503,"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/collision-operator","display_name":"collision operator","score":0.7049999833106995},{"id":"https://openalex.org/keywords/hermite-expansion","display_name":"Hermite expansion","score":0.6230000257492065},{"id":"https://openalex.org/keywords/chapman-enskog-expansion","display_name":"Chapman-Enskog expansion","score":0.9039999842643738},{"id":"https://openalex.org/keywords/hyperviscosity","display_name":"hyperviscosity","score":0.7609999775886536},{"id":"https://openalex.org/keywords/transverse-shear","display_name":"transverse shear","score":0.5960000157356262},{"id":"https://openalex.org/keywords/taylor-green-vortex","display_name":"Taylor-Green vortex","score":0.7570000290870667},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.652999997138977},{"id":"https://openalex.org/keywords/d2q9-lattice","display_name":"D2Q9 lattice","score":0.656000018119812}],"concepts":[{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.703000009059906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5351999998092651},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5231000185012817},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.4537000060081482},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4278999865055084},{"id":"https://openalex.org/C102727969","wikidata":"https://www.wikidata.org/wiki/Q4901423","display_name":"Bhatnagar\u2013Gross\u2013Krook operator","level":5,"score":0.426800012588501},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3846000134944916},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.37220001220703125},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.3573000133037567},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3427000045776367},{"id":"https://openalex.org/C67906445","wikidata":"https://www.wikidata.org/wiki/Q17027724","display_name":"HPP model","level":4,"score":0.34209999442100525},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.335999995470047},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.33160001039505005},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2904999852180481},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27730000019073486},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C19979193","wikidata":"https://www.wikidata.org/wiki/Q25100325","display_name":"Kinetic theory","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C187128312","wikidata":"https://www.wikidata.org/wiki/Q1565055","display_name":"Mean squared displacement","level":3,"score":0.2515000104904175},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.25029999017715454},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.31072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31072","pdf_url":"https://arxiv.org/pdf/2610.31072","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.31072","doi":"https://doi.org/10.48550/arxiv.2610.31072","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.31072","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.31072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.31072","pdf_url":"https://arxiv.org/pdf/2610.31072","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323909","display_name":"Ag\u00eancia Nacional do Petr\u00f3leo, G\u00e1s Natural e Biocombust\u00edveis","ror":"https://ror.org/00phthq42"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223285233.pdf","grobid_xml":"https://content.openalex.org/works/W7223285233.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2606017643","https://openalex.org/W4409439296","https://openalex.org/W2968616856","https://openalex.org/W7155641174","https://openalex.org/W4404618342","https://openalex.org/W3183257759","https://openalex.org/W2608811668","https://openalex.org/W7208356029","https://openalex.org/W7148337912","https://openalex.org/W3034925932"],"abstract_inverted_index":{"Regularized":[0],"lattice":[1,39],"Boltzmann":[2,40],"methods":[3],"improve":[4],"numerical":[5],"stability":[6],"by":[7],"projecting":[8],"the":[9,20,31,46,62,74,102,108,133,146,164,188,195,202,209,221,224],"nonequilibrium":[10],"distribution":[11],"onto":[12],"its":[13,91],"hydrodynamic":[14],"second-order":[15],"Hermite":[16],"sector":[17],"and":[18,48,123,128,136,150,183,205],"filtering":[19],"remaining":[21],"kinetic":[22,34,75,160],"modes.":[23],"We":[24],"introduce":[25],"a":[26,54,95,153,169,213,234,243],"separate":[27],"relaxation":[28,76,161],"time":[29,77],"for":[30,145,191],"complete":[32],"complementary":[33],"subspace.":[35],"The":[36,228],"resulting":[37],"extended-regularized":[38],"method":[41],"(E-RLBM)":[42],"interpolates":[43],"continuously":[44],"between":[45,126,132],"Bhatnagar-Gross-Krook":[47],"regularized":[49],"collision":[50,230],"operators":[51,178],"while":[52],"retaining":[53],"two-rate":[55],"implementation.":[56],"A":[57],"Chapman-Enskog":[58],"expansion":[59],"shows":[60],"that":[61,157],"isothermal":[63],"Navier-Stokes":[64],"equations":[65],"are":[66],"recovered":[67],"with":[68,173],"kinematic":[69],"viscosity":[70],"$\u03bd=c_s^2(\u03c4-\u0394t/2)$,":[71],"independently":[72],"of":[73,104,237],"$\u03c4_{\\rm":[78,81,116,124],"nh}$,":[79],"whereas":[80],"nh}$":[82,125],"changes":[83],"higher-order":[84],"truncation":[85],"errors.":[86],"For":[87,118],"linear":[88,119],"transverse":[89],"shear,":[90],"first":[92],"effect":[93],"is":[94,113,198],"fourth-derivative":[96],"term":[97],"whose":[98],"coefficient":[99,112,190],"depends":[100],"on":[101,121],"direction":[103],"propagation":[105,141],"relative":[106],"to":[107],"lattice.":[109],"This":[110],"fourth-order":[111],"affine":[114],"in":[115,139,212],"nh}$.":[117],"shear":[120,193,215],"D2Q9":[122],"$\u03c4$":[127],"$\u0394t$,":[129],"it":[130],"lies":[131],"corresponding":[134],"BGK":[135,203],"RLBM":[137,210,225],"values":[138],"every":[140],"direction.":[142],"Stability":[143],"maps":[144],"decaying":[147],"Taylor-Green":[148,170],"vortex":[149],"flow":[151],"past":[152],"rectangular":[154],"obstacle":[155],"show":[156],"an":[158],"appropriate":[159],"substantially":[162],"enlarges":[163],"stable":[165],"parameter":[166],"domain.":[167],"In":[168],"convergence":[171,226],"test":[172],"consistent":[174],"initialization,":[175],"all":[176],"three":[177],"converge":[179],"at":[180,217],"second":[181],"order,":[182],"their":[184],"error":[185,197,204],"differences":[186],"follow":[187],"hyperviscous":[189],"diagonal":[192],"waves:":[194],"E-RLBM":[196,222],"about":[199,206],"6%":[200],"above":[201],"40%":[207],"below":[208],"error;":[211],"double":[214],"layer":[216],"Re":[218],"=":[219],"80000,":[220],"follows":[223],"curve.":[227],"proposed":[229],"operator":[231],"therefore":[232],"provides":[233],"low-cost":[235],"means":[236],"controlling":[238],"nonhydrodynamic":[239],"modes":[240],"without":[241],"introducing":[242],"full":[244],"multiple-relaxation-time":[245],"basis.":[246]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-24T00:00:00"}
