{"id":"https://openalex.org/W7221822397","doi":"https://doi.org/10.48550/arxiv.2610.16148","title":"A ghost-cell immersed boundary method for the shallow water equations on Cartesian grids: mass conservation and wetting and drying over variable topography","display_name":"A ghost-cell immersed boundary method for the shallow water equations on Cartesian grids: mass conservation and wetting and drying over variable topography","publication_year":2026,"publication_date":"2026-10-12","ids":{"openalex":"https://openalex.org/W7221822397","doi":"https://doi.org/10.48550/arxiv.2610.16148"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.16148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.16148","pdf_url":"https://arxiv.org/pdf/2610.16148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.16148","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018593146","display_name":"Yuta Yaegashi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yaegashi, Yuta","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5018593146"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9042999744415283,"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":0.9042999744415283,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.0284000001847744,"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":0.012500000186264515,"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/ghost-cell-immersed-boundary-method","display_name":"ghost-cell immersed boundary method","score":0.8980000019073486},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"shallow water equations","score":0.9980000257492065},{"id":"https://openalex.org/keywords/mass-conservation","display_name":"mass conservation","score":0.7300000190734863},{"id":"https://openalex.org/keywords/wet-dry-cycles","display_name":"wetting-drying cycles","score":0.9919999837875366},{"id":"https://openalex.org/keywords/variable-topography","display_name":"variable topography","score":0.9240000247955322},{"id":"https://openalex.org/keywords/dam-failure","display_name":"dam failure","score":0.8230000138282776},{"id":"https://openalex.org/keywords/cartesian-grid","display_name":"Cartesian grid","score":0.5669999718666077}],"concepts":[{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.734000027179718},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.698199987411499},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.6007000207901001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5964999794960022},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.5281999707221985},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.5144000053405762},{"id":"https://openalex.org/C121704545","wikidata":"https://www.wikidata.org/wiki/Q11425899","display_name":"Immersed boundary method","level":3,"score":0.5098999738693237},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4997999966144562},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49230000376701355},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48500001430511475},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4498000144958496},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.435699999332428},{"id":"https://openalex.org/C134514944","wikidata":"https://www.wikidata.org/wiki/Q817136","display_name":"Wetting","level":2,"score":0.40049999952316284},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3684000074863434},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.35910001397132874},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3127000033855438},{"id":"https://openalex.org/C19188886","wikidata":"https://www.wikidata.org/wiki/Q5165895","display_name":"Control volume","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C182692853","wikidata":"https://www.wikidata.org/wiki/Q2386647","display_name":"Primitive equations","level":4,"score":0.29280000925064087},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.2906999886035919},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.28040000796318054},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C152382732","wikidata":"https://www.wikidata.org/wiki/Q468756","display_name":"Shore","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.16148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.16148","pdf_url":"https://arxiv.org/pdf/2610.16148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.16148","doi":"https://doi.org/10.48550/arxiv.2610.16148","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.16148","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.16148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.16148","pdf_url":"https://arxiv.org/pdf/2610.16148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221822397.pdf","grobid_xml":"https://content.openalex.org/works/W7221822397.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1968144724","https://openalex.org/W1969760987","https://openalex.org/W1988744163","https://openalex.org/W1990231743","https://openalex.org/W1994437117","https://openalex.org/W1998847725","https://openalex.org/W2000689181","https://openalex.org/W2012295421","https://openalex.org/W2018180414","https://openalex.org/W2038240514","https://openalex.org/W2042311994","https://openalex.org/W2056623184","https://openalex.org/W2059257656","https://openalex.org/W2087445373","https://openalex.org/W2093057886","https://openalex.org/W2095769218","https://openalex.org/W2103556498","https://openalex.org/W2108623296","https://openalex.org/W2112548197","https://openalex.org/W2116729868","https://openalex.org/W2130565525","https://openalex.org/W2133145574","https://openalex.org/W2145851836","https://openalex.org/W2145887541","https://openalex.org/W2147169375","https://openalex.org/W2148554214","https://openalex.org/W2155785405","https://openalex.org/W2158900113","https://openalex.org/W2159268266","https://openalex.org/W2165913715","https://openalex.org/W2172002573","https://openalex.org/W2177518119","https://openalex.org/W2193850255","https://openalex.org/W2301075356","https://openalex.org/W2800361224","https://openalex.org/W3010292040","https://openalex.org/W3025981338","https://openalex.org/W3101604874","https://openalex.org/W3137151897","https://openalex.org/W4226048374","https://openalex.org/W4226320594","https://openalex.org/W7107942017"],"related_works":["https://openalex.org/W2145887541","https://openalex.org/W4409415707","https://openalex.org/W2338715061","https://openalex.org/W4413015350","https://openalex.org/W7214037289","https://openalex.org/W2002674914","https://openalex.org/W3034278573","https://openalex.org/W2014392667","https://openalex.org/W2887854861","https://openalex.org/W4313334190"],"abstract_inverted_index":{"A":[0],"ghost-cell":[1,139],"immersed":[2,154],"boundary":[3],"method":[4,140,182],"is":[5,113,133,161],"proposed":[6,131],"for":[7],"the":[8,41,53,61,84,87,94,104,107,117,124,138,158,165,168],"two-dimensional":[9],"shallow":[10],"water":[11],"equations":[12,126,170],"with":[13,19],"a":[14,45,57,79,146,179],"variable":[15],"bed":[16],"(topography),":[17],"solved":[18],"an":[20,153],"explicit":[21],"Godunov-type":[22],"finite":[23],"volume":[24],"scheme":[25,132],"(unsplit":[26],"second-order":[27],"MUSCL,":[28],"HLLC":[29],"flux,":[30],"hydrostatic":[31],"reconstruction)":[32],"on":[33,75,171],"Cartesian":[34],"grids.":[35],"Ghost-cell":[36],"methods":[37],"leak":[38],"mass":[39],"through":[40],"wall.":[42,155],"To":[43],"find":[44],"robust":[46],"and":[47,56,73,78,98,103,144],"conservative":[48],"treatment,":[49],"eight":[50],"constructions":[51],"of":[52,60,106,167],"ghost":[54,88],"values":[55,89],"cut-cell":[58,121,181],"form":[59],"continuity":[62,118,159],"equation":[63,119,160],"were":[64],"applied":[65],"to":[66],"seven":[67],"test":[68],"problems,":[69],"which":[70],"include":[71],"wetting":[72],"drying":[74],"sloping":[76],"beds":[77],"laboratory":[80],"dam":[81],"break.":[82],"In":[83],"resulting":[85],"scheme,":[86],"are":[90,101,110,127],"interpolated":[91],"bilinearly":[92],"at":[93,148],"image":[95],"point;":[96],"solid":[97],"dry":[99],"nodes":[100,109],"excluded,":[102],"weights":[105],"remaining":[108],"renormalized.":[111],"Mass":[112],"conserved":[114],"by":[115],"solving":[116],"in":[120],"form,":[122],"while":[123],"momentum":[125,169],"left":[128],"unchanged.":[129],"The":[130],"about":[134],"as":[135,137],"accurate":[136],"without":[141],"this":[142],"modification":[143],"preserves":[145],"lake":[147],"rest":[149],"whose":[150],"shoreline":[151],"crosses":[152],"Because":[156],"only":[157],"modified,":[162],"it":[163],"avoids":[164],"treatment":[166],"cut":[172],"cells":[173],"(wall":[174],"pressure,":[175],"cell":[176],"merging)":[177],"that":[178],"full":[180],"requires.":[183]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-15T00:00:00"}