{"id":"https://openalex.org/W2183776368","doi":null,"title":"Hybrid finite difference/finite element version of the immersed boundary method","display_name":"Hybrid finite difference/finite element version of the immersed boundary method","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2183776368","mag":"2183776368"},"language":"en","primary_location":{"id":"mag:2183776368","doi":null,"is_oa":false,"landing_page_url":"https://www.maths.gla.ac.uk/~xl/griffith_luo_ibfem_rev1.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5058957444","display_name":"Boyce E. Griffith","orcid":"https://orcid.org/0000-0002-9800-7504","observed_orcids":["https://orcid.org/0000-0002-9800-7504"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boyce E. Griffith","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9800-7504","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045379798","display_name":"Leon H. Charney","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leon H. Charney","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081780695","display_name":"Xiaoyu Luo","orcid":"https://orcid.org/0000-0002-8753-4210","observed_orcids":["https://orcid.org/0000-0002-8753-4210"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaoyu Luo","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8753-4210","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1762,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96036145,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":98},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.8179000020027161,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.8179000020027161,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.1590999960899353,"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":0.004999999888241291,"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/immersed-boundary-method","display_name":"immersed boundary method","score":0.9990000128746033},{"id":"https://openalex.org/keywords/fluid-structure-interaction","display_name":"fluid-structure interaction","score":0.9440000057220459},{"id":"https://openalex.org/keywords/incompressible-navier-stokes-equations","display_name":"incompressible Navier-Stokes equations","score":0.8569999933242798},{"id":"https://openalex.org/keywords/elastic-fibers","display_name":"elastic fibers","score":0.3400000035762787}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7711139917373657},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.6710637807846069},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6461477875709534},{"id":"https://openalex.org/C89901390","wikidata":"https://www.wikidata.org/wiki/Q6418927","display_name":"Lagrangian and Eulerian specification of the flow field","level":4,"score":0.6410939693450928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6095999479293823},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.5790073871612549},{"id":"https://openalex.org/C54486999","wikidata":"https://www.wikidata.org/wiki/Q209675","display_name":"Dirac delta function","level":2,"score":0.5646576881408691},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.518342137336731},{"id":"https://openalex.org/C121704545","wikidata":"https://www.wikidata.org/wiki/Q11425899","display_name":"Immersed boundary method","level":3,"score":0.515593945980072},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.4808545708656311},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4590114951133728},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4517360329627991},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.431112140417099},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.42920881509780884},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.4224013090133667},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4113512635231018},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40086618065834045},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3378499150276184},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2705337107181549},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2703176736831665},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.2212820053100586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2001740038394928},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1682804822921753},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2183776368","doi":null,"is_oa":false,"landing_page_url":"https://www.maths.gla.ac.uk/~xl/griffith_luo_ibfem_rev1.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W165958050","https://openalex.org/W203589767","https://openalex.org/W1519024897","https://openalex.org/W1525132831","https://openalex.org/W1532259567","https://openalex.org/W1569090332","https://openalex.org/W1589288858","https://openalex.org/W1924308020","https://openalex.org/W1973017510","https://openalex.org/W1978588246","https://openalex.org/W1981337508","https://openalex.org/W1982396064","https://openalex.org/W1992271632","https://openalex.org/W1992474968","https://openalex.org/W1994280288","https://openalex.org/W2001400074","https://openalex.org/W2012751435","https://openalex.org/W2020073486","https://openalex.org/W2026352675","https://openalex.org/W2035582186","https://openalex.org/W2041876368","https://openalex.org/W2043486506","https://openalex.org/W2045343226","https://openalex.org/W2060833243","https://openalex.org/W2062957354","https://openalex.org/W2073945818","https://openalex.org/W2076801967","https://openalex.org/W2084131634","https://openalex.org/W2086542719","https://openalex.org/W2087535883","https://openalex.org/W2090731337","https://openalex.org/W2095006601","https://openalex.org/W2104706305","https://openalex.org/W2125499132","https://openalex.org/W2128716312","https://openalex.org/W2132306174","https://openalex.org/W2140274609","https://openalex.org/W2141248119","https://openalex.org/W2143063846","https://openalex.org/W2143678861","https://openalex.org/W2145144883","https://openalex.org/W2145311873","https://openalex.org/W2145851836","https://openalex.org/W2146121506","https://openalex.org/W2146913860","https://openalex.org/W2150895881","https://openalex.org/W2151611333","https://openalex.org/W2153330556","https://openalex.org/W2156652224","https://openalex.org/W2156850808","https://openalex.org/W2157884554","https://openalex.org/W2162646210","https://openalex.org/W2178311709"],"related_works":["https://openalex.org/W2950110455","https://openalex.org/W3170853470","https://openalex.org/W232993628","https://openalex.org/W7097274152","https://openalex.org/W6943681472","https://openalex.org/W152160443","https://openalex.org/W2186042614","https://openalex.org/W7096453523","https://openalex.org/W2400348566","https://openalex.org/W6925169763"],"abstract_inverted_index":{"T":[0],"he":[1],"immersed":[2,17],"boundary":[3],"(IB)":[4],"method":[5,127,144,167],"is":[6,16,59,96],"a":[7,19,76,86,122,153],"framework":[8],"for":[9],"problems":[10,28],"in":[11,18,35,50,98],"which":[12],"an":[13,184],"elastic":[14,118],"structure":[15,34,114],"viscous":[20],"incompressible":[21,161],"fluid.":[22],"The":[23,164],"IB":[24,106,126,143,166],"formulation":[25],"of":[26,32,45,92,112,117,124,141,159,219],"such":[27],"describes":[29,39],"the":[30,33,40,46,70,80,93,101,110,113,125,142,160,171,178,188,203,215],"elasticity":[31,111,130],"Lagrangian":[36,55,71,172,196],"form,":[37],"and":[38,43,56,79,217],"momentum,":[41],"viscosity,":[42],"incompressibility":[44],"coupled":[47],"fluid-structure":[48],"system":[49],"Eulerian":[51,57,81,179,205],"form.":[52],"Interaction":[53],"between":[54],"variables":[58],"by":[60],"integral":[61],"transforms":[62],"with":[63,132],"Dirac":[64],"delta":[65,94],"function":[66,95],"kernels.":[67],"When":[68],"discretized,":[69],"equations":[72,82,190],"are":[73,83,199,211],"approximated":[74,84],"on":[75,85],"curvilinear":[77],"mesh,":[78],"Cartesian":[87,154],"grid.":[88,180,206],"A":[89],"regularized":[90],"version":[91,123],"used":[97],"approximations":[99],"to":[100,145,174,186,194],"Lagrangian-Eulerian":[102],"interaction":[103,189],"equations.":[104,163],"Standard":[105],"methods":[107],"typically":[108,169],"describe":[109],"using":[115],"systems":[116],"fibers.":[119],"We":[120],"introduce":[121,183],"that":[128,191,198,213],"uses":[129],"models":[131],"finite":[133,156],"element":[134],"(FE)":[135],"discretizations.":[136],"Unlike":[137],"most":[138],"other":[139],"extensions":[140],"use":[146,195],"FE":[147],"elasticity,":[148],"however,":[149],"our":[150,220],"approach":[151,185],"retains":[152],"grid":[155],"difference":[157],"discretization":[158],"Navier-Stokes":[162],"conventional":[165],"also":[168],"requires":[170],"mesh":[173],"be":[175],"finer":[176],"than":[177,202],"Herein,":[181],"we":[182],"discretizing":[187],"enables":[192],"us":[193],"meshes":[197],"significantly":[200],"coarser":[201],"background":[204],"Results":[207],"from":[208],"computational":[209],"experiments":[210],"included":[212],"demonstrate":[214],"accuracy":[216],"efficiency":[218],"methodology.":[221]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
