{"id":"https://openalex.org/W4300102951","doi":"https://doi.org/10.48550/arxiv.1405.7093","title":"Multiscale modelling couples patches of two-layer thin fluid flow","display_name":"Multiscale modelling couples patches of two-layer thin fluid flow","publication_year":2014,"publication_date":"2014-05-28","ids":{"openalex":"https://openalex.org/W4300102951","doi":"https://doi.org/10.48550/arxiv.1405.7093"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1405.7093","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.7093","pdf_url":"https://arxiv.org/pdf/1405.7093","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.7093","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Cao, Meng","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cao, Meng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023779277","display_name":"A. J. Roberts","orcid":"https://orcid.org/0000-0001-8930-1552","observed_orcids":["https://orcid.org/0000-0001-8930-1552"]},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I4405259444","https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Roberts, A. J.","raw_affiliation_strings":["School of Mathematical Sciences , University of Adelaide , South Australia 5005 "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , University of Adelaide , South Australia 5005 ","institution_ids":["https://openalex.org/I5681781"]}]}],"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.774399995803833,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.774399995803833,"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"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.16259999573230743,"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.03869999945163727,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/multiscale-modeling","display_name":"multiscale modeling","score":0.828000009059906},{"id":"https://openalex.org/keywords/center-manifold-theory","display_name":"center manifold theory","score":0.7590000033378601},{"id":"https://openalex.org/keywords/slow-manifold","display_name":"slow manifold","score":0.9800000190734863},{"id":"https://openalex.org/keywords/coupling-conditions","display_name":"coupling conditions","score":0.6679999828338623},{"id":"https://openalex.org/keywords/eigenvalue-analysis","display_name":"eigenvalue analysis","score":0.7429999709129333},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.5189999938011169}],"concepts":[{"id":"https://openalex.org/C179428855","wikidata":"https://www.wikidata.org/wiki/Q1069216","display_name":"Microscale chemistry","level":2,"score":0.9764775037765503},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5839146375656128},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5824488401412964},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.5458895564079285},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5019752979278564},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.4856675863265991},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.414916455745697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4023946523666382},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.33943983912467957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21555837988853455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2144726812839508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17551016807556152},{"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/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1405.7093","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.7093","pdf_url":"https://arxiv.org/pdf/1405.7093","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.1405.7093","doi":"https://doi.org/10.48550/arxiv.1405.7093","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1405.7093","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:1405.7093","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.7093","pdf_url":"https://arxiv.org/pdf/1405.7093","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4300102951.pdf","grobid_xml":"https://content.openalex.org/works/W4300102951.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1969834354","https://openalex.org/W1970796332","https://openalex.org/W1980835462","https://openalex.org/W1998516232","https://openalex.org/W2004527851","https://openalex.org/W2009947429","https://openalex.org/W2017585158","https://openalex.org/W2049320831","https://openalex.org/W2075498458","https://openalex.org/W2080308289","https://openalex.org/W2085099179","https://openalex.org/W2105103650","https://openalex.org/W2113658878","https://openalex.org/W2127851850","https://openalex.org/W2152275410","https://openalex.org/W2163320880","https://openalex.org/W2277331806","https://openalex.org/W4213153870"],"related_works":["https://openalex.org/W566526159","https://openalex.org/W1984744911","https://openalex.org/W214679142","https://openalex.org/W6977807008","https://openalex.org/W2980768076","https://openalex.org/W6903774827","https://openalex.org/W3010107574","https://openalex.org/W2523425014","https://openalex.org/W6941775144","https://openalex.org/W2126661453"],"abstract_inverted_index":{"The":[0,41],"multiscale":[1],"gap-tooth":[2,28,91,123,154,159,172],"scheme":[3,29,92,124,173],"uses":[4,89],"a":[5,69,158,162],"given":[6],"microscale":[7,35,42,85,129,163],"simulator":[8,43,130],"of":[9,33,37,83,111,134,138,147],"complicated":[10],"physical":[11,60],"processes":[12],"to":[13,30,93],"enable":[14],"macroscale":[15,115],"simulations":[16,36,137,146],"by":[17,46,104,113,152],"computing":[18],"only":[19,20],"small":[21],"sparse":[22],"patches.":[23],"This":[24,87],"article":[25,88],"develops":[26],"the":[27,31,49,73,81,84,90,95,106,109,122,126,148,153,166,171],"case":[32],"nonlinear":[34],"thin":[38],"fluid":[39,50,75,97,139,149,176],"flow.":[40,77,99],"is":[44],"derived":[45],"artificially":[47],"assuming":[48],"film":[51,76,98,140,150,177],"flow":[52,151,178],"having":[53],"two":[54],"artificial":[55],"layers":[56],"but":[57],"no":[58],"distinguishing":[59],"feature.":[61],"Centre":[62],"manifold":[63,71],"theory":[64],"assures":[65],"that":[66,121,170],"there":[67],"exists":[68],"slow":[70],"in":[72],"two-layer":[74,96,128],"Eigenvalue":[78],"analysis":[79,119],"confirms":[80],"stability":[82],"simulator.":[86],"simulate":[94],"Coupling":[100],"conditions":[101],"are":[102],"developed":[103,127],"approximating":[105],"values":[107],"at":[108],"edges":[110],"patches":[112],"neighbouring":[114],"values.":[116],"Numerical":[117],"eigenvalue":[118],"suggests":[120],"with":[125,180],"empowers":[131],"feasible":[132],"computation":[133],"large":[135],"scale":[136],"flows.":[141],"We":[142],"also":[143],"implement":[144],"numerical":[145],"scheme.":[155],"Comparison":[156],"between":[157],"simulation":[160,164],"and":[161],"over":[165],"whole":[167],"domain":[168],"demonstrates":[169],"feasibly":[174],"computes":[175],"dynamics":[179],"computational":[181],"savings.":[182]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2022-10-03T00:00:00"}