{"id":"https://openalex.org/W2604958086","doi":"https://doi.org/10.1137/15m1053074","title":"A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions","display_name":"A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2604958086","doi":"https://doi.org/10.1137/15m1053074","mag":"2604958086"},"language":"en","primary_location":{"id":"doi:10.1137/15m1053074","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1053074","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/A5071517852","display_name":"Guoxian Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guoxian Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5025832688","display_name":"Sebastian Noelle","orcid":"https://orcid.org/0000-0001-6267-8309"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sebastian Noelle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6929,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.95305977,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"55","issue":"2","first_page":"758","last_page":"784"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9988999962806702,"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9973999857902527,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8067742586135864},{"id":"https://openalex.org/keywords/hydrostatic-equilibrium","display_name":"Hydrostatic equilibrium","score":0.6385778188705444},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5951690673828125},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.5767477750778198},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.47242438793182373},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41445857286453247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3985406458377838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3750253915786743},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37299907207489014},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3297044336795807},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08235573768615723}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8067742586135864},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.6385778188705444},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5951690673828125},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.5767477750778198},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.47242438793182373},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41445857286453247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3985406458377838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3750253915786743},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37299907207489014},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3297044336795807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08235573768615723},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1053074","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1053074","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:publications.rwth-aachen.de:691536","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/search?p=id:%22RWTH-2017-05991%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM journal on numerical analysis 55(2), 758-784 (2017). doi:10.1137/15M1053074","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G236275714","display_name":null,"funder_award_id":"11001211","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4825102245","display_name":null,"funder_award_id":"361/3-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G624213786","display_name":null,"funder_award_id":"11371023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7507489292","display_name":null,"funder_award_id":"361/3-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1537224157","https://openalex.org/W1554134448","https://openalex.org/W1971166309","https://openalex.org/W1978806404","https://openalex.org/W1981001745","https://openalex.org/W1985715533","https://openalex.org/W1989178170","https://openalex.org/W2010950958","https://openalex.org/W2011525140","https://openalex.org/W2020168202","https://openalex.org/W2031043673","https://openalex.org/W2039014496","https://openalex.org/W2043057066","https://openalex.org/W2050445534","https://openalex.org/W2061726168","https://openalex.org/W2133429431","https://openalex.org/W2146503652","https://openalex.org/W2155785405","https://openalex.org/W2482838170","https://openalex.org/W2949222097","https://openalex.org/W4245037559"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2370818987","https://openalex.org/W2040219002","https://openalex.org/W2767285497","https://openalex.org/W2226027031","https://openalex.org/W2949222097","https://openalex.org/W3034556531","https://openalex.org/W3214705868"],"abstract_inverted_index":{"A":[0],"key":[1,90],"difficulty":[2],"in":[3,107,145,196],"the":[4,10,15,22,43,54,69,95,101,104,108,119,136,187],"analysis":[5],"and":[6,34,79,154],"numerical":[7,35],"approximation":[8],"of":[9,18,42,103,122,193],"shallow":[11,44],"water":[12,45,200],"equations":[13],"is":[14,58,92,100,141,178],"nonconservative":[16],"product":[17],"measures":[19],"due":[20],"to":[21,52,93,118,172],"gravitational":[23],"force":[24],"acting":[25],"on":[26,60],"a":[27,61,142,167,174,191,203,214],"sloped":[28],"bottom.":[29],"Solutions":[30],"may":[31],"be":[32],"nonunique,":[33],"schemes":[36,218],"are":[37,219],"not":[38],"only":[39],"consistent":[40],"discretizations":[41],"equations,":[46],"but":[47],"they":[48],"also":[49],"determine":[50],"how":[51],"model":[53],"physics.":[55],"Our":[56],"derivation":[57],"based":[59],"subcell":[62],"reconstruction":[63,102],"using":[64],"infinitesimal":[65],"singular":[66,96,109],"layers":[67],"at":[68],"cell":[70],"boundaries,":[71],"as":[72],"inspired":[73],"by":[74,222],"S.":[75],"Noelle,":[76],"Y.":[77],"Xing,":[78],"C.-W.":[80],"Shu":[81],"[J.":[82],"Comput.":[83],"Phys.,":[84],"226":[85],"(2007),":[86],"pp.":[87,132,162],"29--58].":[88],"One":[89],"step":[91],"separate":[94],"measures.":[97],"Another":[98],"aspect":[99],"solution":[105],"variables":[106],"layers.":[110],"We":[111],"study":[112],"three":[113],"reconstructions.":[114],"The":[115,139,176],"first":[116],"leads":[117],"well-known":[120],"scheme":[121,206,212],"Audusse":[123],"et":[124],"al.,":[125],"[SIAM":[126],"J.":[127,151],"Sci.":[128],"Comput.,":[129,159],"25":[130],"(2004),":[131],"2050--2065],":[133],"which":[134,164,182],"introduces":[135],"hydrostatic":[137],"reconstruction.":[138],"second":[140],"modification":[143],"proposed":[144],"[T.":[146],"Morales":[147],"de":[148],"Luna,":[149],"M.":[150],"Castro":[152],"D\u00edaz,":[153],"C.":[155],"Par\u00e9s,":[156],"Appl.":[157],"Math.":[158],"219":[160],"(2013),":[161],"9012--9032],":[163],"analyzes":[165],"whether":[166],"wave":[168],"has":[169],"enough":[170],"energy":[171],"overcome":[173],"step.":[175],"third":[177],"our":[179,223],"new":[180,224],"scheme,":[181],"borrows":[183],"its":[184],"structure":[185],"from":[186],"wet-dry":[188],"front.":[189],"For":[190],"number":[192],"cases":[194],"discussed":[195],"recent":[197],"years,":[198],"where":[199],"runs":[201],"down":[202],"hill,":[204],"Audusse's":[205],"converges":[207],"slowly":[208],"or":[209],"fails.":[210],"Morales'":[211],"gives":[213],"visible":[215],"improvement.":[216],"Both":[217],"clearly":[220],"outperformed":[221],"scheme.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
