{"id":"https://openalex.org/W1995216827","doi":"https://doi.org/10.1137/s1064827596298245","title":"An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow","display_name":"An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1995216827","doi":"https://doi.org/10.1137/s1064827596298245","mag":"1995216827"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827596298245","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827596298245","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01694576","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001270898","display_name":"Mark Sussman","orcid":"https://orcid.org/0000-0001-8238-4295"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Sussman","raw_affiliation_strings":["Florida State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida State University","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038387033","display_name":"Emad Fatemi","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emad Fatemi","raw_affiliation_strings":["Dept. of Math, UCLA, Los Angeles, CA 90024-1555","Department of Mathematics, University of California Davis, Davis, CA 95616"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Math, UCLA, Los Angeles, CA 90024-1555","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics, University of California Davis, Davis, CA 95616","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6798,"has_fulltext":false,"cited_by_count":651,"citation_normalized_percentile":{"value":0.98871784,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"20","issue":"4","first_page":"1165","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9966999888420105,"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":0.9966999888420105,"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":0.9957000017166138,"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":0.9909999966621399,"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/level-set-method","display_name":"Level set method","score":0.801176905632019},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.7772955894470215},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6334022879600525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6243548393249512},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.5884951949119568},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5534847974777222},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5518136024475098},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5359734892845154},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.530448853969574},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.4612186849117279},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4444119334220886},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4438450038433075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42360612750053406},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41603904962539673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3866046667098999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24696478247642517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18316075205802917},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12136229872703552},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.079180508852005}],"concepts":[{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.801176905632019},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.7772955894470215},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6334022879600525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6243548393249512},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.5884951949119568},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5534847974777222},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5518136024475098},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5359734892845154},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.530448853969574},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4612186849117279},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4444119334220886},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4438450038433075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42360612750053406},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41603904962539673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3866046667098999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24696478247642517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18316075205802917},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12136229872703552},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.079180508852005},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s1064827596298245","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827596298245","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:10.1.1.35.5063","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.5063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.fsu.edu/~sussman/redistance.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.414.638","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.414.638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ann.jussieu.fr/~frey/papers/distance/Sussman M., An efficient interface preserving level set redistancing algorithm.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01694576v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01694576","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 1999, 20 (4), pp.1165 - 1191. ⟨10.1137/S1064827596298245⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01694576v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01694576","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 1999, 20 (4), pp.1165 - 1191. ⟨10.1137/S1064827596298245⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1973481688","https://openalex.org/W1973965874","https://openalex.org/W1977946246","https://openalex.org/W1987971235","https://openalex.org/W1991113069","https://openalex.org/W1999244633","https://openalex.org/W2002775473","https://openalex.org/W2012063891","https://openalex.org/W2012872284","https://openalex.org/W2013886485","https://openalex.org/W2038852701","https://openalex.org/W2045545335","https://openalex.org/W2116737017","https://openalex.org/W2138571234"],"related_works":["https://openalex.org/W2122184585","https://openalex.org/W1516196146","https://openalex.org/W2367921179","https://openalex.org/W3121464166","https://openalex.org/W2171493617","https://openalex.org/W1979393293","https://openalex.org/W2377107237","https://openalex.org/W2354888855","https://openalex.org/W2381815228","https://openalex.org/W2372477707"],"abstract_inverted_index":{"In":[0,52],"Sussman,":[1],"Smereka,":[2],"and":[3,74,88,122,154],"Osher":[4],"[J.":[5],"Comp.":[6],"Phys.,":[7],"94":[8],"(1994),":[9],"pp.":[10],"146--159],":[11],"a":[12,33,57],"numerical":[13],"scheme":[14,104],"was":[15,32],"presented":[16],"for":[17,37,143],"computing":[18],"incompressible":[19,106],"air--water":[20],"flows":[21,107],"using":[22],"the":[23,29,39,44,48,69,82,89,95,133],"level":[24,40,50,91,98,129,165],"set":[25,41,92,130,166],"method.":[26],"Crucial":[27],"to":[28,67,105,172],"above":[30],"method":[31,36,71,169],"new":[34,83],"iteration":[35,70],"maintaining":[38],"function":[42,87,93],"as":[43],"signed":[45,85],"distance":[46,86],"from":[47],"zero":[49,97],"set.":[51,99],"this":[53],"paper":[54],"we":[55],"implement":[56],"\"constraint\"":[58],"along":[59],"with":[60,108,120,132,138,163],"higher":[61],"order":[62,66],"difference":[63],"schemes":[64,142],"in":[65,79],"make":[68],"more":[72,155],"accurate":[73],"efficient.":[75],"Accuracy":[76],"is":[77,170],"measured":[78],"terms":[80],"of":[81,146],"computed":[84],"original":[90],"having":[94],"same":[96],"We":[100,116,124,149],"apply":[101],"our":[102,118,127,168],"redistancing":[103],"noticeably":[109],"better":[110],"resolved":[111],"results":[112,119],"at":[113],"reduced":[114],"cost.":[115],"validate":[117],"experiment":[121],"theory.":[123],"show":[125],"that":[126],"\"distance":[128],"scheme\"":[131],"added":[134],"constraint":[135],"competes":[136],"well":[137],"available":[139],"interface":[140],"tracking":[141],"basic":[144,151],"advection":[145],"an":[147],"interface.":[148],"perform":[150],"accuracy":[152],"checks":[153],"stringent":[156],"tests":[157],"involving":[158],"complicated":[159],"interfacial":[160],"structures.":[161],"As":[162],"all":[164],"schemes,":[167],"easy":[171],"implement.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":30},{"year":2017,"cited_by_count":29},{"year":2016,"cited_by_count":30},{"year":2015,"cited_by_count":33},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":29},{"year":2012,"cited_by_count":29}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}