{"id":"https://openalex.org/W3108570839","doi":"https://doi.org/10.1145/3414685.3417859","title":"An extended cut-cell method for sub-grid liquids tracking with surface tension","display_name":"An extended cut-cell method for sub-grid liquids tracking with surface tension","publication_year":2020,"publication_date":"2020-11-27","ids":{"openalex":"https://openalex.org/W3108570839","doi":"https://doi.org/10.1145/3414685.3417859","mag":"3108570839"},"language":"en","primary_location":{"id":"doi:10.1145/3414685.3417859","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3414685.3417859","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5042079724","display_name":"Yilu Chen","orcid":"https://orcid.org/0009-0005-0723-0655"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Yi-Lu Chen","raw_affiliation_strings":["ETH Zurich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014104659","display_name":"Jonathan Meier","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jonathan Meier","raw_affiliation_strings":["ETH Zurich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069878201","display_name":"Barbara Solenthaler","orcid":"https://orcid.org/0000-0001-7494-8660"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Barbara Solenthaler","raw_affiliation_strings":["ETH Zurich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112368463","display_name":"Vin\u00edcius C. Azevedo","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Vinicius C. Azevedo","raw_affiliation_strings":["ETH Zurich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042079724"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":6.8697,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.97176893,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"39","issue":"6","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9853000044822693,"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/discretization","display_name":"Discretization","score":0.6844990253448486},{"id":"https://openalex.org/keywords/surface-tension","display_name":"Surface tension","score":0.6351660490036011},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6311774253845215},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6031322479248047},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5701766014099121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5575867891311646},{"id":"https://openalex.org/keywords/regular-grid","display_name":"Regular grid","score":0.5309324264526367},{"id":"https://openalex.org/keywords/octree","display_name":"Octree","score":0.4949619174003601},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4820195436477661},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4682627320289612},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.46723347902297974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4318162798881531},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4236827492713928},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38435280323028564},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.37001174688339233},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35347703099250793},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.34296342730522156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25491541624069214},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21053433418273926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2071516215801239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20373693108558655},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.16810914874076843}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6844990253448486},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.6351660490036011},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6311774253845215},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6031322479248047},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5701766014099121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5575867891311646},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.5309324264526367},{"id":"https://openalex.org/C141297171","wikidata":"https://www.wikidata.org/wiki/Q1143237","display_name":"Octree","level":2,"score":0.4949619174003601},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4820195436477661},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4682627320289612},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.46723347902297974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4318162798881531},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4236827492713928},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38435280323028564},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37001174688339233},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35347703099250793},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.34296342730522156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25491541624069214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21053433418273926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2071516215801239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20373693108558655},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.16810914874076843},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3414685.3417859","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3414685.3417859","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W1558361595","https://openalex.org/W1602448489","https://openalex.org/W1931169787","https://openalex.org/W1956733578","https://openalex.org/W1966218012","https://openalex.org/W1968517555","https://openalex.org/W1969402485","https://openalex.org/W1969960922","https://openalex.org/W1971960215","https://openalex.org/W1981382127","https://openalex.org/W1993371992","https://openalex.org/W1995678542","https://openalex.org/W1999888586","https://openalex.org/W2001988147","https://openalex.org/W2005126631","https://openalex.org/W2017765063","https://openalex.org/W2022385500","https://openalex.org/W2043229756","https://openalex.org/W2045618004","https://openalex.org/W2051420955","https://openalex.org/W2051594476","https://openalex.org/W2051853774","https://openalex.org/W2059469850","https://openalex.org/W2071998665","https://openalex.org/W2075418377","https://openalex.org/W2084424473","https://openalex.org/W2085419112","https://openalex.org/W2086210210","https://openalex.org/W2093886732","https://openalex.org/W2096256305","https://openalex.org/W2106320166","https://openalex.org/W2114106563","https://openalex.org/W2118824485","https://openalex.org/W2119611099","https://openalex.org/W2119751659","https://openalex.org/W2121542165","https://openalex.org/W2126195192","https://openalex.org/W2128943711","https://openalex.org/W2133073983","https://openalex.org/W2141435354","https://openalex.org/W2153370794","https://openalex.org/W2162410491","https://openalex.org/W2170258208","https://openalex.org/W2220625991","https://openalex.org/W2245672305","https://openalex.org/W2293118932","https://openalex.org/W2406758754","https://openalex.org/W2465865740","https://openalex.org/W2465881649","https://openalex.org/W2557597969","https://openalex.org/W2738029526","https://openalex.org/W2738928398","https://openalex.org/W2739265057","https://openalex.org/W2741120858","https://openalex.org/W2770820244","https://openalex.org/W2774206404","https://openalex.org/W2957040220","https://openalex.org/W2987687807","https://openalex.org/W2988886924","https://openalex.org/W2998114340","https://openalex.org/W3136108488","https://openalex.org/W3136918727","https://openalex.org/W3138866632","https://openalex.org/W4234286560","https://openalex.org/W4237340405","https://openalex.org/W4238336753","https://openalex.org/W4239205343","https://openalex.org/W4243457813","https://openalex.org/W4256610973"],"related_works":["https://openalex.org/W2366706972","https://openalex.org/W2389557907","https://openalex.org/W2025881859","https://openalex.org/W3097538295","https://openalex.org/W1975943852","https://openalex.org/W3215688376","https://openalex.org/W2742225527","https://openalex.org/W983366326","https://openalex.org/W2028441661","https://openalex.org/W2016084181"],"abstract_inverted_index":{"Simulating":[0],"liquid":[1,21,62,106],"phenomena":[2],"utilizing":[3],"Eulerian":[4],"frameworks":[5],"is":[6,121],"challenging,":[7],"since":[8,36],"highly":[9],"energetic":[10],"flows":[11],"often":[12],"induce":[13],"severe":[14],"topological":[15],"changes,":[16],"creating":[17],"thin":[18],"and":[19,76,88],"complex":[20,184],"surfaces.":[22],"Thus,":[23],"capturing":[24],"structures":[25,107],"that":[26,108,162,175],"are":[27,109],"small":[28,173],"relative":[29],"to":[30,45,151],"the":[31,39,46,61,92,116,148,163],"grid":[32,113],"size":[33],"become":[34],"intractable,":[35],"continually":[37],"increasing":[38],"resolution":[40,57],"will":[41,81],"scale":[42],"sub-optimally":[43],"due":[44],"pressure":[47,74,133],"projection":[48],"step.":[49],"Previous":[50],"methods":[51],"successfully":[52],"relied":[53],"on":[54],"using":[55],"higher":[56],"grids":[58],"for":[59,104,132,170],"tracking":[60],"surface":[63,77,156],"implicitly;":[64],"however":[65],"this":[66,96],"technique":[67],"comes":[68],"with":[69,129,155,180],"drawbacks.":[70],"The":[71],"mismatch":[72],"of":[73,79,118],"samples":[75],"degrees":[78],"freedom":[80],"cause":[82],"artifacts":[83],"such":[84,140],"as":[85,141],"hanging":[86],"blobs":[87],"permanent":[89],"kinks":[90],"at":[91],"liquid-air":[93],"interface.":[94],"In":[95],"paper,":[97],"we":[98,146],"propose":[99],"an":[100],"extended":[101],"cut-cell":[102],"method":[103,120,165],"handling":[105,171],"smaller":[110],"than":[111],"a":[112,122,167],"cell.":[114],"At":[115],"core":[117],"our":[119],"novel":[123,168],"iso-surface":[124,149],"Poisson":[125],"Solver,":[126],"which":[127],"converges":[128],"second-order":[130],"accuracy":[131],"values":[134],"while":[135],"maintaining":[136],"attractive":[137],"discretization":[138],"properties":[139],"symmetric":[142],"positive":[143],"definiteness.":[144],"Additionally,":[145],"extend":[147],"assumption":[150],"be":[152],"also":[153,177],"compatible":[154],"tension":[157],"forces.":[158],"Our":[159],"results":[160],"show":[161],"proposed":[164],"provides":[166],"framework":[169],"arbitrarily":[172],"splashes":[174],"can":[176],"correctly":[178],"interact":[179],"objects":[181],"embodied":[182],"by":[183],"geometries.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
