{"id":"https://openalex.org/W2109881657","doi":"https://doi.org/10.1007/s10915-013-9808-7","title":"A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier\u2013Stokes Equations","display_name":"A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier\u2013Stokes Equations","publication_year":2014,"publication_date":"2014-01-10","ids":{"openalex":"https://openalex.org/W2109881657","doi":"https://doi.org/10.1007/s10915-013-9808-7","mag":"2109881657"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9808-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9808-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084920377","display_name":"Hans Johnston","orcid":null},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hans Johnston","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA, USA","Department of Mathematics and Statistics, University of Massachusetts-Amherst, Amherst, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts-Amherst, Amherst, USA","institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100417045","display_name":"Cheng Wang","orcid":"https://orcid.org/0000-0003-4220-8080"},"institutions":[{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cheng Wang","raw_affiliation_strings":["Department of Mathematics, University of Massachusetts Dartmouth, Dartmouth, MA, USA","Department of Mathematics, University of Massachusetts Dartmouth, Dartmouth, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts Dartmouth, Dartmouth, MA, USA","institution_ids":["https://openalex.org/I100633361"]},{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts Dartmouth, Dartmouth, USA","institution_ids":["https://openalex.org/I100633361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019169169","display_name":"Jian\u2010Guo Liu","orcid":"https://orcid.org/0000-0002-9911-4045"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jian-Guo Liu","raw_affiliation_strings":["Departments of Physics and Mathematics, Duke University, Durham, NC, USA","Departments of Physics and Mathematics, Duke University, Durham, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Mathematics, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Departments of Physics and Mathematics, Duke University, Durham, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084920377"],"corresponding_institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.11776332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"60","issue":"3","first_page":"612","last_page":"626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9997000098228455,"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":0.9991999864578247,"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":0.7812996506690979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5673170685768127},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5597556829452515},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5450894236564636},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5340422987937927},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5239094495773315},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.5138585567474365},{"id":"https://openalex.org/keywords/pressure-gradient","display_name":"Pressure gradient","score":0.5064979791641235},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47355902194976807},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.465249627828598},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.4466971755027771},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.42352136969566345},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.4110487699508667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3288293182849884},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24090558290481567},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1909724473953247},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.1431528627872467},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13393396139144897}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7812996506690979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5673170685768127},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5597556829452515},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5450894236564636},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5340422987937927},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5239094495773315},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.5138585567474365},{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.5064979791641235},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47355902194976807},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.465249627828598},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.4466971755027771},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42352136969566345},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.4110487699508667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3288293182849884},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24090558290481567},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1909724473953247},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.1431528627872467},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13393396139144897},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-013-9808-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9808-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W321261355","https://openalex.org/W1490180844","https://openalex.org/W1558122728","https://openalex.org/W1589702657","https://openalex.org/W1635622277","https://openalex.org/W1805381866","https://openalex.org/W1965134668","https://openalex.org/W1979677378","https://openalex.org/W1988754720","https://openalex.org/W1992002280","https://openalex.org/W1996594743","https://openalex.org/W2002335991","https://openalex.org/W2030348253","https://openalex.org/W2035831943","https://openalex.org/W2040651749","https://openalex.org/W2047007012","https://openalex.org/W2055749471","https://openalex.org/W2055857105","https://openalex.org/W2060180904","https://openalex.org/W2061890852","https://openalex.org/W2069259960","https://openalex.org/W2076077791","https://openalex.org/W2087478948","https://openalex.org/W2100675673","https://openalex.org/W2120912731","https://openalex.org/W2131537960","https://openalex.org/W2131778920","https://openalex.org/W2133233737","https://openalex.org/W2144261846","https://openalex.org/W2157960017","https://openalex.org/W2166614820","https://openalex.org/W2295428826","https://openalex.org/W2408478130","https://openalex.org/W2969262004","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W1650618014","https://openalex.org/W1578404675","https://openalex.org/W2074174512","https://openalex.org/W2109368488","https://openalex.org/W2030161722","https://openalex.org/W2001109470","https://openalex.org/W2347359111","https://openalex.org/W2991341158","https://openalex.org/W2071530432","https://openalex.org/W2109881657"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}