{"id":"https://openalex.org/W7133317702","doi":"https://doi.org/10.48550/arxiv.2603.01886","title":"Asymptotic Analysis of Shallow Water Moment Equations","display_name":"Asymptotic Analysis of Shallow Water Moment Equations","publication_year":2026,"publication_date":"2026-03-02","ids":{"openalex":"https://openalex.org/W7133317702","doi":"https://doi.org/10.48550/arxiv.2603.01886"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.01886","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.01886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.01886","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128020567","display_name":"Mieke Daemen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daemen, Mieke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061331238","display_name":"Julio Careaga","orcid":"https://orcid.org/0000-0003-4466-6173"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Careaga, Julio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052875563","display_name":"Zhenning Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai, Zhenning","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5127949433","display_name":"Julian Koellermeier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Koellermeier, Julian","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.22779999673366547,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.22779999673366547,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.1340000033378601,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.08659999817609787,"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/shallow-water-equations","display_name":"Shallow water equations","score":0.7422999739646912},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.652999997138977},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.6395000219345093},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.5094000101089478},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4810999929904938},{"id":"https://openalex.org/keywords/slip","display_name":"Slip (aerodynamics)","score":0.4262000024318695},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.36579999327659607},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.36079999804496765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7634000182151794},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.7422999739646912},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.652999997138977},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6395000219345093},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6233999729156494},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.5094000101089478},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4810999929904938},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.4262000024318695},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.36579999327659607},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.36079999804496765},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3578999936580658},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.33799999952316284},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.3321000039577484},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3163999915122986},{"id":"https://openalex.org/C136590016","wikidata":"https://www.wikidata.org/wiki/Q7621125","display_name":"Velocity gradient","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.2718000113964081},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C127436580","wikidata":"https://www.wikidata.org/wiki/Q6452866","display_name":"Polynomial expansion","level":2,"score":0.26440000534057617}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.01886","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.01886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.01886","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.01886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.7350581884384155,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,33,54,122,131,158],"Shallow":[1,11,112],"Water":[2,12,113],"Moment":[3,114],"Equations":[4,13,115],"(SWME)":[5],"are":[6],"an":[7,57,100],"extension":[8],"of":[9,18,60,89,103,133],"the":[10,24,26,69,87,90,104,108,120,129,134,163,173,182],"(SWE)":[14],"for":[15,117],"improved":[16],"modelling":[17],"free-surface":[19],"flows.":[20],"In":[21],"contrast":[22],"to":[23,95,128,169,172,179],"SWE,":[25],"SWME":[27,34,55,91,174],"incorporate":[28],"vertical":[29,37],"velocity":[30,38,156],"profile":[31],"information.":[32],"framework":[35],"approximates":[36],"profiles":[39],"using":[40],"a":[41,72,141,144,148,153],"polynomial":[42,48],"expansion":[43],"with":[44,143],"Legendre":[45],"polynomials":[46],"and":[47,152,175],"coefficients,":[49],"also":[50],"called":[51],"moment":[52,83],"variables.":[53,84],"have":[56,124],"increased":[58],"number":[59],"variables":[61],"that":[62,77,162],"must":[63],"always":[64],"be":[65,79],"incorporated,":[66],"even":[67],"when":[68],"flow":[70],"approaches":[71],"viscous":[73],"slip":[74],"equilibrium":[75],"state":[76],"could":[78],"characterised":[80],"by":[81],"vanishing":[82],"To":[85],"reduce":[86,165],"complexity":[88],"in":[92],"cases":[93],"proximate":[94],"this":[96],"equilibrium,":[97],"we":[98],"conduct":[99],"asymptotic":[101],"analysis":[102],"SWME.":[105,130],"This":[106],"yields":[107],"closed":[109],"form":[110],"Reduced":[111],"(RSWME)":[116],"deviations":[118],"from":[119],"equilibrium.":[121],"RSWME":[123,135,164],"fewer":[125],"variables,":[126],"compared":[127,171],"hyperbolicity":[132],"is":[136],"analysed.":[137],"Numerical":[138],"tests":[139,160],"include":[140],"wave":[142],"sharp":[145],"height":[146,150],"gradient,":[147],"smoother":[149],"gradient":[151],"square":[154],"root":[155],"profile.":[157],"numerical":[159],"demonstrate":[161],"computational":[166],"cost":[167],"up":[168,178],"77%":[170],"improves":[176],"accuracy":[177],"88%":[180],"over":[181],"SWE.":[183]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-04T00:00:00"}
