{"id":"https://openalex.org/W2100623775","doi":"https://doi.org/10.1137/06066240x","title":"Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids","display_name":"Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2100623775","doi":"https://doi.org/10.1137/06066240x","mag":"2100623775"},"language":"en","primary_location":{"id":"doi:10.1137/06066240x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06066240x","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/A5018844626","display_name":"A. Madrane","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aziz Madrane","raw_affiliation_strings":["Aziz.madrane@airbus.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aziz.madrane@airbus.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109371455","display_name":"R\u00e9mi Vaillancourt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R\u00e9mi Vaillancourt","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16804118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"5","first_page":"3979","last_page":"3999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9977999925613403,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7567564249038696},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.7361950874328613},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6420512199401855},{"id":"https://openalex.org/keywords/airfoil","display_name":"Airfoil","score":0.5805694460868835},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5680578351020813},{"id":"https://openalex.org/keywords/unstructured-grid","display_name":"Unstructured grid","score":0.5591224431991577},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5589924454689026},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5466580390930176},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.5333967208862305},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5305851697921753},{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.4388796091079712},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.42017948627471924},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.3057807385921478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2748149037361145},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14360976219177246},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.09730839729309082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7567564249038696},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.7361950874328613},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6420512199401855},{"id":"https://openalex.org/C112124176","wikidata":"https://www.wikidata.org/wiki/Q4698744","display_name":"Airfoil","level":2,"score":0.5805694460868835},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5680578351020813},{"id":"https://openalex.org/C134620963","wikidata":"https://www.wikidata.org/wiki/Q17078677","display_name":"Unstructured grid","level":3,"score":0.5591224431991577},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5589924454689026},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5466580390930176},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.5333967208862305},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5305851697921753},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.4388796091079712},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.42017948627471924},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.3057807385921478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2748149037361145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14360976219177246},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.09730839729309082},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/06066240x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06066240x","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:CiteSeerX.psu:10.1.1.433.5194","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.5194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cscamm.umd.edu/centpack/publications/files/Madrane Vaillancourt 3D adaptive SISC2009-centpack.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.566.1662","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.566.1662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cscamm.umd.edu/centpack/publications/files/Madrane_hyp2006-centpack.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.888.6415","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.888.6415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.crm.umontreal.ca/pub/Rapports/3200-3299/3291.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W34548570","https://openalex.org/W224920056","https://openalex.org/W1483360527","https://openalex.org/W1554134448","https://openalex.org/W1970212576","https://openalex.org/W1972759058","https://openalex.org/W1976101958","https://openalex.org/W1977294541","https://openalex.org/W1977421342","https://openalex.org/W1986604141","https://openalex.org/W1989234010","https://openalex.org/W1997027646","https://openalex.org/W2000454003","https://openalex.org/W2008076987","https://openalex.org/W2010896493","https://openalex.org/W2024881233","https://openalex.org/W2027087330","https://openalex.org/W2036500909","https://openalex.org/W2036951447","https://openalex.org/W2039565997","https://openalex.org/W2042118059","https://openalex.org/W2042707778","https://openalex.org/W2046430532","https://openalex.org/W2046899724","https://openalex.org/W2047103910","https://openalex.org/W2054933255","https://openalex.org/W2063340729","https://openalex.org/W2067494951","https://openalex.org/W2071443789","https://openalex.org/W2092566803","https://openalex.org/W2094342549","https://openalex.org/W2099340085","https://openalex.org/W2112548197","https://openalex.org/W2129819199","https://openalex.org/W2132840006","https://openalex.org/W2152756046","https://openalex.org/W2156669471","https://openalex.org/W2161697958","https://openalex.org/W2166173515","https://openalex.org/W2231778101","https://openalex.org/W2327257092","https://openalex.org/W2334097766","https://openalex.org/W2486566729","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2480601066","https://openalex.org/W1536088348","https://openalex.org/W3085759807","https://openalex.org/W2067978966","https://openalex.org/W2800583016","https://openalex.org/W2083233781","https://openalex.org/W4385807557","https://openalex.org/W3174853118","https://openalex.org/W2046329523","https://openalex.org/W1525756470"],"abstract_inverted_index":{"We":[0,96],"present":[1],"an":[2,70,138],"explicit":[3],"second-order":[4],"finite":[5],"volume":[6],"generalization":[7],"of":[8,27,35,49,85],"the":[9,33,36,40,47,50,80,86,117,128],"one-dimensional":[10],"(1D)":[11],"Nessyahu\u2013Tadmor":[12],"schemes":[13],"for":[14,127],"hyperbolic":[15],"equations":[16],"on":[17,107],"adaptive":[18],"unstructured":[19],"tetrahedral":[20],"grids.":[21],"The":[22],"nonoscillatory":[23],"central":[24],"difference":[25],"scheme":[26,88],"Nessyahu":[28],"and":[29,115,135],"Tadmor,":[30],"in":[31,75],"which":[32],"resolution":[34],"Riemann":[37],"problem":[38],"at":[39],"cell":[41],"interfaces":[42],"is":[43,54,89],"bypassed":[44],"thanks":[45],"to":[46,57,63,91,100],"use":[48],"staggered":[51],"Lax\u2013Friedrichs":[52],"scheme,":[53],"extended":[55],"here":[56],"a":[58,82],"two-steps":[59],"scheme.":[60],"In":[61],"order":[62],"reduce":[64],"artificial":[65],"viscosity,":[66],"we":[67],"start":[68],"with":[69],"adaptively":[71],"refined":[72],"primal":[73],"grid":[74],"three":[76],"dimensions":[77],"(3D),":[78],"where":[79],"theoretical":[81],"posteriori":[83],"result":[84],"first-order":[87],"used":[90],"derive":[92],"appropriate":[93],"refinement":[94],"indicators.":[95],"apply":[97],"those":[98],"methods":[99],"solve":[101],"Euler's":[102],"equations.":[103],"Numerical":[104],"experimental":[105],"tests":[106,124],"classical":[108],"problems":[109],"are":[110],"obtained":[111],"by":[112,116],"our":[113],"method":[114],"computational":[118],"fluid":[119],"dynamics":[120],"software":[121],"Fluent.":[122],"These":[123],"include":[125],"results":[126],"3D":[129],"Euler":[130],"system":[131],"(shock":[132],"tube":[133],"problem)":[134],"flow":[136],"around":[137],"NACA0012":[139],"airfoil.":[140]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
