{"id":"https://openalex.org/W4386930537","doi":"https://doi.org/10.1137/22m1532019","title":"A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries","display_name":"A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W4386930537","doi":"https://doi.org/10.1137/22m1532019"},"language":"en","primary_location":{"id":"doi:10.1137/22m1532019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1532019","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt5jk3958t/qt5jk3958t.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022148385","display_name":"Nathaniel Overton\u2010Katz","orcid":"https://orcid.org/0000-0002-0846-0736"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nathaniel Overton-Katz","raw_affiliation_strings":["Lawrence Berkeley National Lab, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Lab, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069006934","display_name":"Xinfeng Gao","orcid":"https://orcid.org/0000-0002-7313-7070"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinfeng Gao","raw_affiliation_strings":["Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068702699","display_name":"Stephen M. Guzik","orcid":"https://orcid.org/0000-0001-9163-8787"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Guzik","raw_affiliation_strings":["Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035719658","display_name":"Oscar Antepara","orcid":"https://orcid.org/0000-0002-4596-0289"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oscar Antepara","raw_affiliation_strings":["Lawrence Berkeley National Lab, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Lab, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051880248","display_name":"Daniel Graves","orcid":"https://orcid.org/0000-0001-9730-7217"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel T. Graves","raw_affiliation_strings":["Lawrence Berkeley National Lab, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Lab, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082013692","display_name":"Hans Johansen","orcid":"https://orcid.org/0000-0002-9644-9982"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hans Johansen","raw_affiliation_strings":["Lawrence Berkeley National Lab, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Lab, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5022148385"],"corresponding_institution_ids":["https://openalex.org/I148283060"],"apc_list":null,"apc_paid":null,"fwci":1.0297,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71843778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"45","issue":"5","first_page":"A2409","last_page":"A2430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9998000264167786,"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":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.7610667943954468},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6464098691940308},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49772265553474426},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46285951137542725},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4531734585762024},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3715088963508606},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2092709243297577},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10506865382194519}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610667943954468},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6464098691940308},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49772265553474426},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46285951137542725},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4531734585762024},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3715088963508606},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2092709243297577},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10506865382194519},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1532019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1532019","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt5jk3958t","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5jk3958t","pdf_url":"https://escholarship.org/content/qt5jk3958t/qt5jk3958t.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"SIAM Journal on Scientific Computing, vol 45, iss 5","raw_type":"article"},{"id":"pmh:oai:osti.gov:2325975","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2325975","pdf_url":"https://www.osti.gov/servlets/purl/2325975","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt5jk3958t","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5jk3958t","pdf_url":"https://escholarship.org/content/qt5jk3958t/qt5jk3958t.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"SIAM Journal on Scientific Computing, vol 45, iss 5","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1286236842","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1799333409","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G3083819904","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3944918260","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4501827968","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4565140552","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6348972864","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386930537.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1569090332","https://openalex.org/W1837242739","https://openalex.org/W1965134668","https://openalex.org/W1991962363","https://openalex.org/W1992717809","https://openalex.org/W2011514398","https://openalex.org/W2011655084","https://openalex.org/W2022385500","https://openalex.org/W2052394843","https://openalex.org/W2054420328","https://openalex.org/W2061030389","https://openalex.org/W2061595863","https://openalex.org/W2076077791","https://openalex.org/W2093389789","https://openalex.org/W2094721447","https://openalex.org/W2095006601","https://openalex.org/W2118022170","https://openalex.org/W2145478293","https://openalex.org/W2145851836","https://openalex.org/W2613528476","https://openalex.org/W2615489495","https://openalex.org/W2901306150","https://openalex.org/W3198574360","https://openalex.org/W4205350309"],"related_works":["https://openalex.org/W2966648332","https://openalex.org/W2036579119","https://openalex.org/W1964124682","https://openalex.org/W2501001410","https://openalex.org/W2051519054","https://openalex.org/W2488633177","https://openalex.org/W2352708639","https://openalex.org/W2083247966","https://openalex.org/W2043702156","https://openalex.org/W2268950858"],"abstract_inverted_index":{"A":[0],"fourth-order":[1,57,78,122],"finite":[2],"volume":[3],"embedded":[4],"boundary":[5,60],"(EB)":[6],"method":[7,98,120],"is":[8,99,125],"presented":[9],"for":[10,110],"the":[11,31,68,84,97,128],"unsteady":[12],"Stokes":[13],"equations.":[14],"The":[15,118],"algorithm":[16],"represents":[17],"complex":[18,115,134],"geometries":[19],"on":[20,47],"a":[21,27,48,77,114],"Cartesian":[22],"grid":[23,103],"using":[24,76],"EB,":[25],"employing":[26],"technique":[28,51],"to":[29,56,66],"mitigate":[30],"``small":[32],"cut-cell\"\"":[33],"problem":[34],"without":[35],"mesh":[36],"modifications,":[37],"cell":[38],"merging,":[39],"or":[40],"state":[41],"redistribution.":[42],"Spatial":[43],"discretizations":[44],"are":[45,72,108],"based":[46],"weighted":[49],"least-squares":[50],"that":[52],"has":[53],"been":[54],"extended":[55],"operators":[58],"and":[59,86,91,106,124],"conditions,":[61],"including":[62],"an":[63,111],"approximate":[64],"projection":[65],"enforce":[67],"divergence-free":[69],"constraint.":[70],"Solutions":[71],"advanced":[73],"in":[74],"time":[75],"additive":[79],"implicit-explicit":[80],"Runge-Kutta":[81],"method,":[82],"with":[83,101,113],"viscous":[85],"source":[87],"terms":[88],"treated":[89],"implicitly":[90],"explicitly,":[92],"respectively.":[93],"Formal":[94],"accuracy":[95,123],"of":[96],"demonstrated":[100],"several":[102],"convergence":[104],"studies,":[105],"results":[107],"shown":[109],"application":[112],"bio-inspired":[116],"material.":[117],"developed":[119],"achieves":[121],"stable":[126],"despite":[127],"pervasive":[129],"small":[130],"cells":[131],"arising":[132],"from":[133],"geometries.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
