{"id":"https://openalex.org/W2155785405","doi":"https://doi.org/10.1137/s1064827503431090","title":"A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows","display_name":"A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2155785405","doi":"https://doi.org/10.1137/s1064827503431090","mag":"2155785405"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827503431090","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827503431090","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/A5111544662","display_name":"Emmanuel Audusse","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Emmanuel Audusse","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005991575","display_name":"Fran\u00e7ois Bouchut","orcid":"https://orcid.org/0000-0002-2545-1655"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Bouchut","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107828086","display_name":"Marie-Odile Bristeau","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marie-Odile Bristeau","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008181519","display_name":"Rupert Klein","orcid":"https://orcid.org/0000-0001-8032-3851"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rupert Klein","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061988258","display_name":"Beno\u0131\u0302t Perthame","orcid":"https://orcid.org/0000-0002-7091-1200"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Beno\u0131\u2041t Perthame","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":22.2457,"has_fulltext":false,"cited_by_count":987,"citation_normalized_percentile":{"value":0.9984958,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"25","issue":"6","first_page":"2050","last_page":"2065"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9973000288009644,"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":0.9972000122070312,"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/shallow-water-equations","display_name":"Shallow water equations","score":0.7992323040962219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7095068097114563},{"id":"https://openalex.org/keywords/hydrostatic-equilibrium","display_name":"Hydrostatic equilibrium","score":0.6795390844345093},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6363630294799805},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6111097931861877},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6032271981239319},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5636481642723083},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5385981202125549},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.5273873805999756},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.47161486744880676},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.41642627120018005},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4131420850753784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3167780041694641},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28357094526290894},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.16816651821136475}],"concepts":[{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.7992323040962219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7095068097114563},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.6795390844345093},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6363630294799805},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6111097931861877},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6032271981239319},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5636481642723083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5385981202125549},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.5273873805999756},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.47161486744880676},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.41642627120018005},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4131420850753784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3167780041694641},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28357094526290894},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.16816651821136475},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s1064827503431090","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827503431090","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:10.1.1.401.8273","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.401.8273","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso-math.univ-mlv.fr/users/bouchut.francois/publications/hydroproj.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.594.4982","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.594.4982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://publications.mi.fu-berlin.de/478/1/file_2004_siam.pdf","raw_type":"text"},{"id":"pmh:oai:publications.pik-potsdam.de:item_12221","is_oa":false,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_12221","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"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 Scientific Computing","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W4902749","https://openalex.org/W111720152","https://openalex.org/W198328411","https://openalex.org/W348217116","https://openalex.org/W1537224157","https://openalex.org/W1554134448","https://openalex.org/W1555627060","https://openalex.org/W1583892864","https://openalex.org/W1968636195","https://openalex.org/W1975628738","https://openalex.org/W1982243542","https://openalex.org/W2006608560","https://openalex.org/W2010367041","https://openalex.org/W2018277869","https://openalex.org/W2028172847","https://openalex.org/W2031801811","https://openalex.org/W2038747175","https://openalex.org/W2043134007","https://openalex.org/W2043798237","https://openalex.org/W2050445534","https://openalex.org/W2064727501","https://openalex.org/W2065852546","https://openalex.org/W2069090730","https://openalex.org/W2073080927","https://openalex.org/W2073378999","https://openalex.org/W2084025336","https://openalex.org/W2093480880","https://openalex.org/W2125266650","https://openalex.org/W2181214513","https://openalex.org/W2482838170"],"related_works":["https://openalex.org/W1977697942","https://openalex.org/W2068527949","https://openalex.org/W3048141087","https://openalex.org/W2007541772","https://openalex.org/W2054597080","https://openalex.org/W3155171457","https://openalex.org/W2373161444","https://openalex.org/W4206021326","https://openalex.org/W4290090794","https://openalex.org/W4286567119"],"abstract_inverted_index":{"We":[0,114],"consider":[1],"the":[2,86,110,139,143,161,164],"Saint-Venant":[3],"system":[4,16,51],"for":[5,81,138],"shallow":[6],"water":[7,165],"flows,":[8,25],"with":[9,35,44,97],"nonflat":[10],"bottom.":[11],"It":[12],"is":[13,93],"a":[14,36,116,121,130,153,169],"hyperbolic":[15],"of":[17,88,163],"conservation":[18],"laws":[19],"that":[20,125,159],"approximately":[21],"describes":[22],"various":[23],"geophysical":[24],"such":[26],"as":[27,85],"rivers,":[28],"coastal":[29],"areas,":[30],"and":[31,67,155,167],"oceans":[32],"when":[33,42],"completed":[34,43],"Coriolis":[37],"term,":[38],"or":[39],"granular":[40],"flows":[41],"friction.":[45],"Numerical":[46],"approximate":[47],"solutions":[48],"to":[49,63,77,128],"this":[50],"may":[52],"be":[53,78,106],"generated":[54],"using":[55,109],"conservative":[56],"finite":[57],"volume":[58],"methods,":[59],"which":[60],"are":[61,75],"known":[62,76],"properly":[64],"handle":[65],"shocks":[66],"contact":[68],"discontinuities.":[69],"However,":[70],"in":[71],"general":[72,117],"these":[73],"schemes":[74],"quite":[79],"inaccurate":[80],"near":[82],"steady":[83,100],"states,":[84],"structure":[87],"their":[89],"numerical":[90,136],"truncation":[91],"errors":[92],"generally":[94],"not":[95],"compatible":[96],"exact":[98],"physical":[99],"state":[101],"conditions.":[102],"This":[103],"difficulty":[104],"can":[105],"overcome":[107],"by":[108],"so-called":[111],"well-balanced":[112,131,157],"schemes.":[113],"describe":[115],"strategy,":[118],"based":[119],"on":[120],"local":[122],"hydrostatic":[123],"reconstruction,":[124],"allows":[126],"us":[127],"derive":[129],"scheme":[132,158],"from":[133],"any":[134],"given":[135],"flux":[137],"homogeneous":[140],"problem.":[141],"Whenever":[142],"initial":[144],"solver":[145],"satisfies":[146,168],"some":[147],"classical":[148],"stability":[149],"properties,":[150],"it":[151],"yields":[152],"simple":[154],"fast":[156],"preserves":[160],"nonnegativity":[162],"height":[166],"semidiscrete":[170],"entropy":[171],"inequality.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":30},{"year":2025,"cited_by_count":60},{"year":2024,"cited_by_count":56},{"year":2023,"cited_by_count":55},{"year":2022,"cited_by_count":65},{"year":2021,"cited_by_count":59},{"year":2020,"cited_by_count":74},{"year":2019,"cited_by_count":49},{"year":2018,"cited_by_count":57},{"year":2017,"cited_by_count":51},{"year":2016,"cited_by_count":56},{"year":2015,"cited_by_count":70},{"year":2014,"cited_by_count":42},{"year":2013,"cited_by_count":43},{"year":2012,"cited_by_count":38}],"updated_date":"2026-08-12T07:12:00.856984","created_date":"2025-10-10T00:00:00"}
