{"id":"https://openalex.org/W2079994134","doi":"https://doi.org/10.1137/s0036142901396284","title":"Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes","display_name":"Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2079994134","doi":"https://doi.org/10.1137/s0036142901396284","mag":"2079994134"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142901396284","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142901396284","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5007705306","display_name":"R. M. Samelson","orcid":"https://orcid.org/0000-0003-3571-9851"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Roger Samelson","raw_affiliation_strings":["Oregon State University>"],"affiliations":[{"raw_affiliation_string":"Oregon State University>","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074156162","display_name":"Roger T\u00e9mam","orcid":"https://orcid.org/0000-0003-1927-4805"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roger Temam","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101698398","display_name":"Cheng Wang","orcid":"https://orcid.org/0009-0006-8279-3973"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5037473555","display_name":"Shouhong Wang","orcid":"https://orcid.org/0000-0002-4634-8833"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shouhong Wang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007705306"],"corresponding_institution_ids":["https://openalex.org/I131249849"],"apc_list":null,"apc_paid":null,"fwci":0.4572,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.67626225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"41","issue":"3","first_page":"1163","last_page":"1194"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9965000152587891,"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":0.8481206297874451},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7869813442230225},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.6807623505592346},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5406555533409119},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.4916535019874573},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4854741394519806},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.47031986713409424},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4625290036201477},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4596642255783081},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.45896315574645996},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4437386095523834},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41869598627090454},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4148581027984619},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.410582035779953},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2281177043914795}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8481206297874451},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7869813442230225},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.6807623505592346},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5406555533409119},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4916535019874573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4854741394519806},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.47031986713409424},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4625290036201477},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4596642255783081},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.45896315574645996},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4437386095523834},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41869598627090454},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4148581027984619},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.410582035779953},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2281177043914795},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036142901396284","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142901396284","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.484.4500","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.484.4500","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://damp.coas.oregonstate.edu/coast/pubs/SNA001163.pdf","raw_type":"text"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300013552/17","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300013552/17&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","score":0.8700000047683716,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1966158133","https://openalex.org/W1988754720","https://openalex.org/W2013546773","https://openalex.org/W2019487448","https://openalex.org/W2026529663","https://openalex.org/W2033462597","https://openalex.org/W2035622732","https://openalex.org/W2036138588","https://openalex.org/W2040211481","https://openalex.org/W2047007012","https://openalex.org/W2047859546","https://openalex.org/W2060180904","https://openalex.org/W2062256865","https://openalex.org/W2068934186","https://openalex.org/W2076077791","https://openalex.org/W2076582418","https://openalex.org/W2088249411","https://openalex.org/W2099200620","https://openalex.org/W2106981121","https://openalex.org/W2112287406","https://openalex.org/W2120912731","https://openalex.org/W2148797843","https://openalex.org/W2166590326","https://openalex.org/W2171617669","https://openalex.org/W2173480936","https://openalex.org/W2474733861","https://openalex.org/W3023314255","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3162423291","https://openalex.org/W2951966595","https://openalex.org/W1697484951","https://openalex.org/W2067772305","https://openalex.org/W4297084911","https://openalex.org/W2569094995","https://openalex.org/W4226238329","https://openalex.org/W2911367846","https://openalex.org/W4361230184","https://openalex.org/W2063358666"],"abstract_inverted_index":{"Numerical":[0],"methods":[1],"for":[2,109],"the":[3,29,39,43,49,98,110],"primitive":[4],"equations":[5],"(PEs)":[6],"of":[7,38,81,97],"oceanic":[8],"flow":[9],"are":[10,71,89],"presented":[11],"in":[12,41,104],"this":[13,63],"paper.":[14],"First,":[15],"a":[16,21,35],"two-dimensional":[17],"Poisson":[18,46],"equation":[19,47],"with":[20],"suitable":[22],"boundary":[23],"condition":[24],"is":[25,54,102,112],"derived":[26],"to":[27,56,59],"solve":[28],"surface":[30,44],"pressure.":[31],"Consequently,":[32],"we":[33],"derive":[34],"new":[36,64],"formulation":[37],"PEs":[40],"which":[42,53,78],"pressure":[45],"replaces":[48],"nonlocal":[50],"incompressibility":[51],"constraint,":[52],"known":[55],"be":[57],"inconvenient":[58],"implement.":[60],"Based":[61],"on":[62,84],"formulation,":[65],"backward":[66],"Euler":[67],"and":[68,75],"Crank--Nicolson":[69],"schemes":[70],"presented.":[72],"The":[73,94,106],"marker":[74],"cell":[76],"scheme,":[77],"gives":[79],"values":[80],"physical":[82],"variables":[83],"staggered":[85],"mesh":[86],"grid":[87],"points,":[88],"chosen":[90],"as":[91],"spatial":[92],"discretization.":[93],"convergence":[95],"analysis":[96],"fully":[99],"discretized":[100],"scheme":[101,111],"established":[103],"detail.":[105],"accuracy":[107],"check":[108],"also":[113],"shown.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}