{"id":"https://openalex.org/W4405034951","doi":"https://doi.org/10.48550/arxiv.2412.01494","title":"Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods","display_name":"Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods","publication_year":2024,"publication_date":"2024-12-02","ids":{"openalex":"https://openalex.org/W4405034951","doi":"https://doi.org/10.48550/arxiv.2412.01494"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2412.01494","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.01494","pdf_url":"https://arxiv.org/pdf/2412.01494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2412.01494","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111014442","display_name":"Eliane Kummer","orcid":"https://orcid.org/0009-0007-4026-9388"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kummer, Eliane","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021791878","display_name":"Stephan Simonis","orcid":"https://orcid.org/0000-0001-8555-4245"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simonis, Stephan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111014442"],"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":0.9994999766349792,"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/T12163","display_name":"Aerosol Filtration and Electrostatic Precipitation","score":0.9909999966621399,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9491999745368958,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lattice-boltzmann-methods","display_name":"Lattice Boltzmann methods","score":0.7375399470329285},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6017617583274841},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.5099488496780396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5088980197906494},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4490962624549866},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4233677089214325},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4067738354206085},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3219790458679199},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2323664426803589},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.20696622133255005}],"concepts":[{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.7375399470329285},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6017617583274841},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.5099488496780396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5088980197906494},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4490962624549866},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4233677089214325},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4067738354206085},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3219790458679199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2323664426803589},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.20696622133255005}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2412.01494","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.01494","pdf_url":"https://arxiv.org/pdf/2412.01494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2412.01494","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2412.01494","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2412.01494","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.01494","pdf_url":"https://arxiv.org/pdf/2412.01494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320333826","display_name":"Karlsruhe House of Young Scientists","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4405034951.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2095212749","https://openalex.org/W2471817263","https://openalex.org/W4312084186","https://openalex.org/W2091687378","https://openalex.org/W3214735908","https://openalex.org/W3130583379","https://openalex.org/W2003723364","https://openalex.org/W1598035158","https://openalex.org/W2699201028","https://openalex.org/W2053302799"],"abstract_inverted_index":{"Recently,":[0],"the":[1,46,50,57,76],"construction":[2],"of":[3,38,78],"finite":[4,42,62],"difference":[5,43,63],"schemes":[6,10],"from":[7],"lattice":[8,30,68],"Boltzmann":[9,31,69],"has":[11,65],"been":[12],"rigorously":[13],"analyzed":[14],"[Bellotti":[15],"et":[16],"al.":[17],"(2022),":[18],"Numer.":[19],"Math.":[20],"152,":[21],"pp.":[22],"1-40].":[23],"It":[24],"is":[25],"thus":[26],"known":[27],"that":[28,59],"any":[29,60],"scheme":[32,44,64],"can":[33],"be":[34],"expressed":[35],"in":[36],"terms":[37],"a":[39,66],"corresponding":[40],"multi-step":[41,61],"on":[45,72],"conserved":[47],"variables.":[48],"In":[49],"present":[51],"work,":[52],"we":[53,74],"provide":[54],"counterexamples":[55],"for":[56,81],"conjecture":[58],"unique":[67],"formulation.":[70],"Based":[71],"that,":[73],"indicate":[75],"existence":[77],"equivalence":[79],"classes":[80],"discretized":[82],"relaxation":[83],"systems.":[84]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}