{"id":"https://openalex.org/W4387929462","doi":"https://doi.org/10.48550/arxiv.2310.14746","title":"Homogenized lattice Boltzmann methods for fluid flow through porous media -- part I: kinetic model derivation","display_name":"Homogenized lattice Boltzmann methods for fluid flow through porous media -- part I: kinetic model derivation","publication_year":2023,"publication_date":"2023-10-23","ids":{"openalex":"https://openalex.org/W4387929462","doi":"https://doi.org/10.48550/arxiv.2310.14746"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2310.14746","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.14746","pdf_url":"https://arxiv.org/pdf/2310.14746","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,"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/2310.14746","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090513742","display_name":"Nicolas Hafen","orcid":"https://orcid.org/0000-0003-3641-4873"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hafen, Nicolas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069072231","display_name":"Julius Je\u00dfberger","orcid":"https://orcid.org/0000-0002-7910-1175"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Je\u00dfberger, Julius","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052017489","display_name":"Davide Dapelo","orcid":"https://orcid.org/0000-0002-3442-6857"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dapelo, Davide","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108437680","display_name":"Gudrun Th\u00e4ter","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Th\u00e4ter, Gudrun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062380683","display_name":"Mathias J. Krause","orcid":"https://orcid.org/0000-0003-1026-6462"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Krause, Mathias J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9901000261306763,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9688000082969666,"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-methods","display_name":"Lattice Boltzmann methods","score":0.757411003112793},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.6850359439849854},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6426922082901001},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5931288003921509},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5516692399978638},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4297497570514679},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.42795413732528687},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4272793233394623},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41790515184402466},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.41524824500083923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4101378321647644},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39676299691200256},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37436196208000183},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.27578791975975037},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.2150994837284088},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.14350047707557678},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13176289200782776},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.11245542764663696}],"concepts":[{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.757411003112793},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.6850359439849854},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6426922082901001},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5931288003921509},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5516692399978638},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4297497570514679},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.42795413732528687},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4272793233394623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41790515184402466},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.41524824500083923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4101378321647644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39676299691200256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37436196208000183},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27578791975975037},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.2150994837284088},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14350047707557678},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13176289200782776},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.11245542764663696},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2310.14746","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.14746","pdf_url":"https://arxiv.org/pdf/2310.14746","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,"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":"pmh:oai:EVASTAR-Karlsruhe.de:1000180578","is_oa":true,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000180578","pdf_url":null,"source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2822-7840, 2804-7214","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2310.14746","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2310.14746","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,"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2310.14746","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.14746","pdf_url":"https://arxiv.org/pdf/2310.14746","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,"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":[{"id":"https://openalex.org/G1595172143","display_name":null,"funder_award_id":"501100001659","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G2798799628","display_name":"Modellierung und Simulation von mehrdimensionaler Fraktionierung in Feinpartikelsystemen und deren Anwendung","funder_award_id":"382064892","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3090911296","display_name":null,"funder_award_id":"SPP2045","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5511866461","display_name":null,"funder_award_id":"10.13039/501100001659","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8572031537","display_name":"HiResHemo: H\u00e4modynamik in hoher r\u00e4umlichzeitlicher Aufl\u00f6sung durch vergleichende visuelle Analyse von 4D PCMRIDaten und CFDSimulationsensembles","funder_award_id":"468824876","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387929462.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2012983134","https://openalex.org/W4388599312","https://openalex.org/W2090218458","https://openalex.org/W44857498","https://openalex.org/W2062900651","https://openalex.org/W2571262355","https://openalex.org/W2110478257","https://openalex.org/W1981989974","https://openalex.org/W2066566740","https://openalex.org/W2063701863"],"abstract_inverted_index":{"In":[0],"this":[1],"series":[2],"of":[3,50,80,108,157,170,205],"studies,":[4],"we":[5,27,131],"establish":[6],"homogenized":[7,88,115,137,144,193,207],"lattice":[8],"Boltzmann":[9,139,209],"methods":[10,95],"(HLBM)":[11],"for":[12,41,96,101],"simulating":[13],"fluid":[14,43,63],"flow":[15,44,64],"through":[16,65],"porous":[17,46,66],"media.":[18,47],"Our":[19],"contributions":[20],"in":[21,45,83,178,187],"part":[22],"I":[23],"are":[24,90,117,195],"twofold.":[25],"First,":[26],"assemble":[28],"the":[29,38,59,70,78,84,98,106,109,114,127,136,143,151,158,164,171,179,184,188,192,206],"targeted":[30,120],"partial":[31,121],"differential":[32,122],"equation":[33],"system":[34],"by":[35,69,198],"formally":[36,148],"unifying":[37],"governing":[39],"equations":[40,74,89,123],"nonstationary":[42,72,99,145],"A":[48],"matrix":[49,85],"regularly":[51],"arranged,":[52],"equally":[53],"sized":[54],"obstacles":[55],"is":[56],"placed":[57],"into":[58],"domain":[60],"to":[61,163,175],"model":[62,111,160,173],"structures":[67],"governed":[68],"incompressible":[71],"Navier--Stokes":[73],"(NSE).":[75],"Depending":[76],"on":[77,183],"ratio":[79],"geometric":[81],"parameters":[82],"arrangement,":[86],"several":[87],"obtained.":[91],"We":[92,147],"review":[93],"existing":[94],"homogenizing":[97],"NSE":[100,116,194],"specific":[102,176],"porosities":[103],"and":[104,153,166],"discuss":[105],"applicability":[107],"resulting":[110],"equations.":[112],"Consequently,":[113],"expressed":[118],"as":[119],"that":[124,150],"jointly":[125],"incorporate":[126],"derived":[128],"aspects.":[129],"Second,":[130],"propose":[132],"a":[133,200],"kinetic":[134,159],"model,":[135],"Bhatnagar--Gross--Krook":[138,208],"equation,":[140],"which":[141],"approximates":[142],"NSE.":[146],"prove":[149],"zeroth":[152],"first":[154],"order":[155],"moments":[156],"provide":[161],"solutions":[162],"mass":[165],"momentum":[167],"balance":[168],"variables":[169],"macrocopic":[172],"up":[174],"orders":[177],"scaling":[180],"parameter.":[181],"Based":[182],"present":[185],"contributions,":[186],"sequel":[189],"(part":[190],"II),":[191],"consistently":[196],"approximated":[197],"deriving":[199],"limit":[201],"consistent":[202],"HLBM":[203],"discretization":[204],"equation.":[210]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}