{"id":"https://openalex.org/W2028749289","doi":"https://doi.org/10.1137/110838248","title":"Effective Pressure Interface Law for Transport Phenomena between an Unconfined Fluid and a Porous Medium Using Homogenization","display_name":"Effective Pressure Interface Law for Transport Phenomena between an Unconfined Fluid and a Porous Medium Using Homogenization","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2028749289","doi":"https://doi.org/10.1137/110838248","mag":"2028749289"},"language":"en","primary_location":{"id":"doi:10.1137/110838248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110838248","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1105.5655","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Anna Marciniak-Czochra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Marciniak-Czochra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Andro Mikeli\u0107","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andro Mikeli\u0107","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":1.7,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.84058794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"2","first_page":"285","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9110000133514404,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9110000133514404,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.03959999978542328,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.022199999541044235,"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/homogenization","display_name":"Homogenization (climate)","score":0.6790000200271606},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6306999921798706},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5871999859809875},{"id":"https://openalex.org/keywords/hagen\u2013poiseuille-equation","display_name":"Hagen\u2013Poiseuille equation","score":0.5752999782562256},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4975000023841858},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42289999127388},{"id":"https://openalex.org/keywords/pressure-gradient","display_name":"Pressure gradient","score":0.3865000009536743},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.3727000057697296}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.6790000200271606},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6306999921798706},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6147000193595886},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5871999859809875},{"id":"https://openalex.org/C175336444","wikidata":"https://www.wikidata.org/wiki/Q869854","display_name":"Hagen\u2013Poiseuille equation","level":3,"score":0.5752999782562256},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4975000023841858},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42289999127388},{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.3727000057697296},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C92718894","wikidata":"https://www.wikidata.org/wiki/Q679643","display_name":"Transport phenomena","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.31040000915527344},{"id":"https://openalex.org/C114088122","wikidata":"https://www.wikidata.org/wiki/Q1261069","display_name":"Pressure drop","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2962000072002411},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.29170000553131104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28850001096725464},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2874000072479248},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2816999852657318},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.27549999952316284},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C47681835","wikidata":"https://www.wikidata.org/wiki/Q970142","display_name":"Power-law fluid","level":3,"score":0.2669999897480011},{"id":"https://openalex.org/C113378726","wikidata":"https://www.wikidata.org/wiki/Q7310797","display_name":"Relative permeability","level":3,"score":0.250900000333786}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/110838248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110838248","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1105.5655","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.5655","pdf_url":"https://arxiv.org/pdf/1105.5655","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-00863416v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00863416","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2012, 10 (2), pp.285-305. &#x27E8;10.1137/110838248&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1105.5655","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.5655","pdf_url":"https://arxiv.org/pdf/1105.5655","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1509285559","https://openalex.org/W1969485794","https://openalex.org/W1992274274","https://openalex.org/W1995359042","https://openalex.org/W1995367801","https://openalex.org/W2029215766","https://openalex.org/W2048327685","https://openalex.org/W2074476958","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2115900653","https://openalex.org/W2119396186","https://openalex.org/W2138916286","https://openalex.org/W2144874807","https://openalex.org/W2329574346","https://openalex.org/W2607483978","https://openalex.org/W2616180484","https://openalex.org/W4244789760"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"modeling":[2],"of":[3,36,150,160,167],"the":[4,9,19,22,25,37,56,61,65,78,90,96,100,107,121,126,134,137,148,151,154,158,165],"incompressible":[5],"viscous":[6],"flows":[7],"in":[8,18,24,136],"domain":[10,27],"containing":[11],"unconfined":[12,26],"fluid":[13],"and":[14,45,69,80,106,141,163],"a":[15,31,33,84],"porous":[16],"medium":[17],"case":[20],"when":[21],"flow":[23,98],"dominates.":[28],"For":[29],"such":[30],"setting":[32],"rigorous":[34],"derivation":[35],"Beavers\u2013Joseph\u2013Saffman":[38],"interface":[39,62,152],"condition":[40,124],"was":[41,67],"undertaken":[42],"by":[43,88,139],"J\u00e4ger":[44],"Mikeli\u0107":[46],"[SIAM":[47],"J.":[48],"Appl.":[49],"Math.,":[50],"60":[51],"(2000),":[52],"pp.":[53],"1111\u20131127]":[54],"using":[55,125],"homogenization":[57],"method.":[58],"So":[59],"far":[60],"law":[63,82,138],"for":[64,83],"pressure":[66,91,109,122],"conceived":[68],"confirmed":[70],"only":[71,156],"numerically.":[72],"In":[73],"this":[74,168],"article":[75],"we":[76],"derive":[77],"Beavers":[79,140],"Joseph":[81],"general":[85],"body":[86],"force":[87],"estimating":[89],"field":[92],"approximation.":[93],"Different":[94],"from":[95],"Poiseuille":[97],"case,":[99],"velocity":[101],"approximation":[102],"is":[103,111],"not":[104,171],"divergence-free":[105],"precise":[108],"estimation":[110],"essential.":[112],"This":[113],"new":[114],"estimate":[115],"allows":[116],"us":[117],"to":[118,132],"rigorously":[119],"justify":[120],"jump":[123],"Navier":[127],"boundary":[128],"layer,":[129],"already":[130],"used":[131],"calculate":[133],"constant":[135],"Joseph.":[142],"Finally,":[143],"our":[144],"results":[145],"confirm":[146],"that":[147],"position":[149,169],"influences":[153],"solution":[155],"at":[157],"order":[159],"physical":[161],"permeability":[162],"therefore":[164],"choice":[166],"does":[170],"pose":[172],"problems.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2016-06-24T00:00:00"}
