{"id":"https://openalex.org/W1987342707","doi":"https://doi.org/10.1137/s1064827598337099","title":"Numerical Simulation of Unsteady Incompressible Flow (\\em Re \\protect\\boldmath $\\leq$ 9500) on the Curvilinear Half-Staggered Mesh","display_name":"Numerical Simulation of Unsteady Incompressible Flow (\\em Re \\protect\\boldmath $\\leq$ 9500) on the Curvilinear Half-Staggered Mesh","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1987342707","doi":"https://doi.org/10.1137/s1064827598337099","mag":"1987342707"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598337099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598337099","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082898376","display_name":"Alan D. George","orcid":"https://orcid.org/0000-0001-9665-2879"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alan George","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015182129","display_name":"Lan Chieh Huang","orcid":"https://orcid.org/0009-0006-5579-1913"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lan Chieh Huang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087309882","display_name":"Wei-Pai Tang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wei-Pai Tang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039950131","display_name":"Ya Dan Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ya Dan Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5547,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.66378443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"21","issue":"6","first_page":"2331","last_page":"2351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987999796867371,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9934999942779541,"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/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.9225753545761108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7790601253509521},{"id":"https://openalex.org/keywords/airfoil","display_name":"Airfoil","score":0.594099223613739},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5323228240013123},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.516152024269104},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.49596819281578064},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4873124063014984},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.4663255512714386},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.4427955746650696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42958173155784607},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4198983609676361},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38400331139564514},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33129972219467163},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19945263862609863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13239061832427979}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.9225753545761108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7790601253509521},{"id":"https://openalex.org/C112124176","wikidata":"https://www.wikidata.org/wiki/Q4698744","display_name":"Airfoil","level":2,"score":0.594099223613739},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5323228240013123},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.516152024269104},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.49596819281578064},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4873124063014984},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.4663255512714386},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.4427955746650696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42958173155784607},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4198983609676361},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38400331139564514},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33129972219467163},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19945263862609863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13239061832427979}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827598337099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598337099","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W17930551","https://openalex.org/W1965134668","https://openalex.org/W1966158133","https://openalex.org/W1968658458","https://openalex.org/W1972691475","https://openalex.org/W1973672355","https://openalex.org/W1981885118","https://openalex.org/W2003070699","https://openalex.org/W2014912142","https://openalex.org/W2026529663","https://openalex.org/W2028441661","https://openalex.org/W2032967608","https://openalex.org/W2034071825","https://openalex.org/W2039704521","https://openalex.org/W2046413099","https://openalex.org/W2052487661","https://openalex.org/W2076077791","https://openalex.org/W2076582418","https://openalex.org/W2077332343","https://openalex.org/W2121847129","https://openalex.org/W2129863666","https://openalex.org/W2137702202","https://openalex.org/W2169713697"],"related_works":["https://openalex.org/W571743577","https://openalex.org/W2309591312","https://openalex.org/W2081591591","https://openalex.org/W2082916702","https://openalex.org/W4308131392","https://openalex.org/W2951151768","https://openalex.org/W2500173965","https://openalex.org/W2977891263","https://openalex.org/W1469108320","https://openalex.org/W1733793893"],"abstract_inverted_index":{"In":[0],"this":[1,88],"paper,":[2],"we":[3,65],"continue":[4],"our":[5,112],"efforts":[6],"toward":[7],"numerical":[8,41],"simulation":[9,101],"of":[10,43,87,102],"high":[11,103],"$Re$":[12,104],"($1000":[13],"\\leq":[14,16],"Re":[15],"9500$)":[17],"unsteady":[18,81],"incompressible":[19,45],"flows":[20,105],"with":[21],"the":[22,27,36,40,44,67,72,92],"finite":[23,32],"difference":[24,33],"method":[25,38,113],"on":[26,71],"curvilinear":[28,73],"half-staggered":[29,74],"mesh.":[30],"The":[31],"scheme":[34],"and":[35,53,76,108,117],"projection":[37],"for":[39],"solution":[42,86],"Navier--Stokes":[46],"equations":[47],"in":[48,55],"primitive":[49],"variables":[50],"was":[51],"proposed":[52],"verified":[54],"[L.":[56],"C.":[57],"Huang,":[58],"J.":[59],"Comput.":[60],"Math,":[61],"to":[62,114],"appear].":[63],"Here":[64],"derive":[66],"discrete":[68],"Poisson":[69],"equation":[70,89],"mesh":[75],"discuss":[77],"its":[78],"properties.":[79],"For":[80],"complex":[82],"flow":[83],"simulation,":[84],"rapid":[85],"is":[90],"crucial;":[91],"multilevel":[93],"one-way":[94],"dissection":[95],"methods":[96],"offer":[97],"effective":[98],"solutions.":[99],"Numerical":[100],"around":[106],"circular":[107],"aerofoil-shaped":[109],"cylinders":[110],"show":[111],"be":[115],"efficient":[116],"robust.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}