{"id":"https://openalex.org/W3137151897","doi":"https://doi.org/10.1137/19m128363x","title":"An $h$-Box Method for Shallow Water Equations Including Barriers","display_name":"An $h$-Box Method for Shallow Water Equations Including Barriers","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3137151897","doi":"https://doi.org/10.1137/19m128363x","mag":"3137151897"},"language":"en","primary_location":{"id":"doi:10.1137/19m128363x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m128363x","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/19m128363x","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101882555","display_name":"Jiao Li","orcid":"https://orcid.org/0000-0003-2903-6536"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jiao Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006551640","display_name":"Kyle T. Mandli","orcid":"https://orcid.org/0000-0002-8267-5989"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kyle T. Mandli","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101882555"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3072,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49105915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"2","first_page":"B431","last_page":"B454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9977999925613403,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.996999979019165,"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":0.8188658356666565},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.7715126276016235},{"id":"https://openalex.org/keywords/berm","display_name":"Berm","score":0.637679934501648},{"id":"https://openalex.org/keywords/storm-surge","display_name":"Storm surge","score":0.6201335787773132},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.5875416994094849},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5554133057594299},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.5479271411895752},{"id":"https://openalex.org/keywords/flooding","display_name":"Flooding (psychology)","score":0.5376660823822021},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5092343091964722},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.4872692823410034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45975303649902344},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.4494483470916748},{"id":"https://openalex.org/keywords/coastal-flood","display_name":"Coastal flood","score":0.4484906792640686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38728541135787964},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37616851925849915},{"id":"https://openalex.org/keywords/storm","display_name":"Storm","score":0.36485135555267334},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.25672590732574463},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.24587193131446838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22626999020576477},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.21887817978858948},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.19381827116012573},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14553788304328918},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.10686969757080078},{"id":"https://openalex.org/keywords/sea-level-rise","display_name":"Sea level rise","score":0.08862218260765076}],"concepts":[{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.8188658356666565},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.7715126276016235},{"id":"https://openalex.org/C158048082","wikidata":"https://www.wikidata.org/wiki/Q81957","display_name":"Berm","level":2,"score":0.637679934501648},{"id":"https://openalex.org/C22818535","wikidata":"https://www.wikidata.org/wiki/Q121742","display_name":"Storm surge","level":3,"score":0.6201335787773132},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.5875416994094849},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5554133057594299},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.5479271411895752},{"id":"https://openalex.org/C186594467","wikidata":"https://www.wikidata.org/wiki/Q1429176","display_name":"Flooding (psychology)","level":2,"score":0.5376660823822021},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5092343091964722},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.4872692823410034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45975303649902344},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.4494483470916748},{"id":"https://openalex.org/C11693305","wikidata":"https://www.wikidata.org/wiki/Q5138350","display_name":"Coastal flood","level":4,"score":0.4484906792640686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38728541135787964},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37616851925849915},{"id":"https://openalex.org/C105306849","wikidata":"https://www.wikidata.org/wiki/Q81054","display_name":"Storm","level":2,"score":0.36485135555267334},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.25672590732574463},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.24587193131446838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22626999020576477},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.21887817978858948},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.19381827116012573},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14553788304328918},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.10686969757080078},{"id":"https://openalex.org/C2777774347","wikidata":"https://www.wikidata.org/wiki/Q841083","display_name":"Sea level rise","level":3,"score":0.08862218260765076},{"id":"https://openalex.org/C132651083","wikidata":"https://www.wikidata.org/wiki/Q7942","display_name":"Climate change","level":2,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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":1,"locations":[{"id":"doi:10.1137/19m128363x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m128363x","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/19m128363x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/19m128363x","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life below water","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W62781570","https://openalex.org/W1608013130","https://openalex.org/W1994357965","https://openalex.org/W1999647828","https://openalex.org/W2004686369","https://openalex.org/W2010227104","https://openalex.org/W2014962640","https://openalex.org/W2025700795","https://openalex.org/W2033805101","https://openalex.org/W2049778555","https://openalex.org/W2050445534","https://openalex.org/W2053085806","https://openalex.org/W2056570045","https://openalex.org/W2059257656","https://openalex.org/W2067444696","https://openalex.org/W2069627726","https://openalex.org/W2077924191","https://openalex.org/W2078551288","https://openalex.org/W2111413571","https://openalex.org/W2134426542","https://openalex.org/W2148049909","https://openalex.org/W2502974215"],"related_works":["https://openalex.org/W1577037560","https://openalex.org/W3209871457","https://openalex.org/W2924612759","https://openalex.org/W4320478983","https://openalex.org/W2124094592","https://openalex.org/W2091030432","https://openalex.org/W2089355253","https://openalex.org/W2034285077","https://openalex.org/W3137151897","https://openalex.org/W413631353"],"abstract_inverted_index":{"The":[0],"shallow":[1,57],"water":[2,58],"equations":[3,8],"provide":[4],"the":[5,56,69,120,123,131],"basic":[6],"modeling":[7],"for":[9,55],"a":[10,35,85,93],"number":[11],"of":[12,122],"coastal":[13],"flooding":[14],"hazards,":[15],"such":[16],"as":[17],"tsunamis":[18],"and":[19,45,90,109,112,126],"storm":[20],"surge.":[21],"In":[22,72],"realistic":[23],"scenarios,":[24],"there":[25],"are":[26],"often":[27,53],"structures":[28],"important":[29],"to":[30,68,87,91,130],"these":[31,81],"flows":[32],"that":[33,79],"have":[34,88],"large":[36,113],"extent":[37],"but":[38],"small":[39],"width,":[40],"including":[41],"sea":[42],"walls,":[43],"berms,":[44],"harbor":[46],"barriers.":[47],"Explicit":[48],"time":[49,64,114],"stepping":[50,115],"schemes,":[51],"most":[52],"used":[54],"equations,":[59],"can":[60],"then":[61],"suffer":[62],"from":[63,98],"step":[65],"restrictions":[66],"due":[67],"CFL":[70,99],"condition.":[71],"this":[73],"article,":[74],"we":[75],"introduce":[76],"an":[77],"approach":[78],"side-steps":[80],"issues":[82],"by":[83,104],"allowing":[84],"barrier":[86],"zero-width":[89],"cut":[92],"cell":[94],"arbitrarily":[95],"without":[96],"suffering":[97],"restrictions.":[100],"This":[101],"is":[102],"done":[103],"supplementing":[105],"existing":[106],"Riemann":[107,124],"solvers":[108],"leveraging":[110],"$h$-box":[111],"methods.":[116],"These":[117],"methods":[118],"preserve":[119],"properties":[121],"solver":[125],"add":[127],"negligible":[128],"cost":[129],"original":[132],"solvers.":[133]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
