{"id":"https://openalex.org/W2091674402","doi":"https://doi.org/10.1145/2601097.2601176","title":"Augmented MPM for phase-change and varied materials","display_name":"Augmented MPM for phase-change and varied materials","publication_year":2014,"publication_date":"2014-07-22","ids":{"openalex":"https://openalex.org/W2091674402","doi":"https://doi.org/10.1145/2601097.2601176","mag":"2091674402"},"language":"en","primary_location":{"id":"doi:10.1145/2601097.2601176","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2601097.2601176","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/A5059033139","display_name":"Alexey Stomakhin","orcid":"https://orcid.org/0000-0002-5081-9108"},"institutions":[{"id":"https://openalex.org/I4210142140","display_name":"Walt Disney (United States)","ror":"https://ror.org/04eg47h42","country_code":"US","type":"company","lineage":["https://openalex.org/I4210142140"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexey Stomakhin","raw_affiliation_strings":["Walt Disney Animation Studios"],"affiliations":[{"raw_affiliation_string":"Walt Disney Animation Studios","institution_ids":["https://openalex.org/I4210142140"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061632559","display_name":"Craig Schroeder","orcid":"https://orcid.org/0000-0003-0528-7007"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Craig Schroeder","raw_affiliation_strings":["University of California Los Angeles"],"affiliations":[{"raw_affiliation_string":"University of California Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068163735","display_name":"Chenfanfu Jiang","orcid":"https://orcid.org/0000-0003-3506-0583"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenfanfu Jiang","raw_affiliation_strings":["University of California Los Angeles"],"affiliations":[{"raw_affiliation_string":"University of California Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063201651","display_name":"Lawrence Chai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142140","display_name":"Walt Disney (United States)","ror":"https://ror.org/04eg47h42","country_code":"US","type":"company","lineage":["https://openalex.org/I4210142140"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lawrence Chai","raw_affiliation_strings":["Walt Disney Animation Studios"],"affiliations":[{"raw_affiliation_string":"Walt Disney Animation Studios","institution_ids":["https://openalex.org/I4210142140"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006484961","display_name":"Joseph Teran","orcid":"https://orcid.org/0009-0007-5067-2269"},"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/I4210142140","display_name":"Walt Disney (United States)","ror":"https://ror.org/04eg47h42","country_code":"US","type":"company","lineage":["https://openalex.org/I4210142140"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph Teran","raw_affiliation_strings":["Walt Disney Animation Studios and University of California Los Angeles","Walt Disney Animation Studios and University of California Los Angeles#TAB#"],"affiliations":[{"raw_affiliation_string":"Walt Disney Animation Studios and University of California Los Angeles","institution_ids":["https://openalex.org/I4210142140","https://openalex.org/I161318765"]},{"raw_affiliation_string":"Walt Disney Animation Studios and University of California Los Angeles#TAB#","institution_ids":["https://openalex.org/I4210142140","https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019359001","display_name":"Andrew Selle","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142140","display_name":"Walt Disney (United States)","ror":"https://ror.org/04eg47h42","country_code":"US","type":"company","lineage":["https://openalex.org/I4210142140"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Selle","raw_affiliation_strings":["Walt Disney Animation Studios"],"affiliations":[{"raw_affiliation_string":"Walt Disney Animation Studios","institution_ids":["https://openalex.org/I4210142140"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5059033139"],"corresponding_institution_ids":["https://openalex.org/I4210142140"],"apc_list":null,"apc_paid":null,"fwci":12.55,"has_fulltext":false,"cited_by_count":171,"citation_normalized_percentile":{"value":0.99273654,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"33","issue":"4","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":1.0,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":1.0,"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":0.9991999864578247,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9976000189781189,"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/material-point-method","display_name":"Material point method","score":0.9113572835922241},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7025501728057861},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5836307406425476},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5617198944091797},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5285809636116028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5138445496559143},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4751279950141907},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.44642141461372375},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4401644468307495},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4283183813095093},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.42001405358314514},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4002971351146698},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33247506618499756},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31921154260635376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3169274926185608},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3050779104232788},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2930102050304413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24109849333763123},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2159613072872162},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21182206273078918},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1313948631286621},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10458210110664368},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.08696162700653076}],"concepts":[{"id":"https://openalex.org/C20138086","wikidata":"https://www.wikidata.org/wiki/Q17103302","display_name":"Material point method","level":3,"score":0.9113572835922241},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7025501728057861},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5836307406425476},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5617198944091797},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5285809636116028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5138445496559143},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4751279950141907},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.44642141461372375},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4401644468307495},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4283183813095093},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42001405358314514},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4002971351146698},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33247506618499756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31921154260635376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3169274926185608},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3050779104232788},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2930102050304413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24109849333763123},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2159613072872162},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21182206273078918},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1313948631286621},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10458210110664368},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08696162700653076},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.0},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2601097.2601176","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2601097.2601176","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.463.4119","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.463.4119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hydra.math.ucla.edu/~craig/papers/2014-melting/paper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3108791802","display_name":null,"funder_award_id":"09-LR-04-116741-BERA","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3494453267","display_name":null,"funder_award_id":"DMS-0502315, DMS-0652427, CCF-0830554","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G3999476761","display_name":null,"funder_award_id":"DMS-0502315, DMS-0652427, CCF-0830554","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G5873418418","display_name":null,"funder_award_id":"20112360","funder_id":"https://openalex.org/F4320307102","funder_display_name":"Intel Corporation"},{"id":"https://openalex.org/G8856424497","display_name":null,"funder_award_id":"N000140310071, N000141010730, N000141210834","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320307102","display_name":"Intel Corporation","ror":"https://ror.org/01ek73717"},{"id":"https://openalex.org/F4320317686","display_name":"Disney Research","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W128413128","https://openalex.org/W148387095","https://openalex.org/W1492479673","https://openalex.org/W1504816995","https://openalex.org/W1965085760","https://openalex.org/W1966158133","https://openalex.org/W1969402485","https://openalex.org/W1980757084","https://openalex.org/W1981349302","https://openalex.org/W1983069728","https://openalex.org/W1992632113","https://openalex.org/W2005092540","https://openalex.org/W2009444993","https://openalex.org/W2013709401","https://openalex.org/W2017035325","https://openalex.org/W2022566626","https://openalex.org/W2025164704","https://openalex.org/W2027135329","https://openalex.org/W2028854397","https://openalex.org/W2029921007","https://openalex.org/W2034805692","https://openalex.org/W2044602433","https://openalex.org/W2045670663","https://openalex.org/W2047505666","https://openalex.org/W2048719511","https://openalex.org/W2051420955","https://openalex.org/W2052194458","https://openalex.org/W2055853406","https://openalex.org/W2056882985","https://openalex.org/W2059844941","https://openalex.org/W2074433215","https://openalex.org/W2076077791","https://openalex.org/W2078669545","https://openalex.org/W2089726988","https://openalex.org/W2096764437","https://openalex.org/W2105408128","https://openalex.org/W2114313349","https://openalex.org/W2118824485","https://openalex.org/W2121683839","https://openalex.org/W2123319606","https://openalex.org/W2126195192","https://openalex.org/W2130196066","https://openalex.org/W2130680135","https://openalex.org/W2150996513","https://openalex.org/W2160527408","https://openalex.org/W2163579121","https://openalex.org/W2165774328","https://openalex.org/W2168012789","https://openalex.org/W2169363295","https://openalex.org/W2171186721","https://openalex.org/W2460909023","https://openalex.org/W2475268220","https://openalex.org/W2621183517","https://openalex.org/W2761843653","https://openalex.org/W2898428743","https://openalex.org/W3021622851","https://openalex.org/W4230706766"],"related_works":["https://openalex.org/W2427047924","https://openalex.org/W112340923","https://openalex.org/W2312624286","https://openalex.org/W1499494269","https://openalex.org/W2341232337","https://openalex.org/W3177661834","https://openalex.org/W2004879272","https://openalex.org/W4248912222","https://openalex.org/W2142286515","https://openalex.org/W2051473011"],"abstract_inverted_index":{"In":[0],"this":[1,100],"paper,":[2],"we":[3,97,130,143],"introduce":[4,66],"a":[5,19,52,67,104,132,145,149],"novel":[6],"material":[7,23,31,59,141,150],"point":[8,32,60,151],"method":[9,61],"for":[10,107],"heat":[11],"transport,":[12],"melting":[13],"and":[14,74,110,126],"solidifying":[15],"materials.":[16,56,95],"This":[17,34],"brings":[18],"wider":[20],"range":[21,54],"of":[22,27,55,70,80,84],"behaviors":[24],"into":[25],"reach":[26],"the":[28,58,71,81,85,116],"already":[29],"versatile":[30],"method.":[33,136],"is":[35],"in":[36],"contrast":[37],"to":[38,49,51,91,103,138,148],"best-of-breed":[39],"fluid,":[40],"solid":[41],"or":[42],"rigid":[43],"body":[44],"solvers":[45],"that":[46,76,99],"are":[47,121],"difficult":[48],"adapt":[50,144],"wide":[53],"Extending":[57],"requires":[62],"several":[63],"contributions.":[64],"We":[65],"dilational/deviatoric":[68],"splitting":[69],"constitutive":[72],"model":[73],"show":[75,98],"an":[77,111],"implicit":[78],"treatment":[79,101],"Eulerian":[82],"evolution":[83],"dilational":[86],"part":[87],"can":[88],"be":[89],"used":[90],"simulate":[92],"arbitrarily":[93],"incompressible":[94,117],"Furthermore,":[96],"reduces":[102],"parabolic":[105],"equation":[106],"moderate":[108],"compressibility":[109],"elliptic,":[112],"Chorin-style":[113],"projection":[114],"at":[115],"limit.":[118],"Since":[119],"projections":[120],"naturally":[122],"done":[123],"on":[124],"marker":[125],"cell":[127],"(MAC)":[128],"grids,":[129],"devise":[131],"staggered":[133],"grid":[134],"MPM":[135],"Lastly,":[137],"generate":[139],"varying":[140],"parameters,":[142],"heat-equation":[146],"solver":[147],"framework.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":24},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":24},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":19},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}