{"id":"https://openalex.org/W3108809256","doi":"https://doi.org/10.1145/3414685.3417809","title":"A moving least square reproducing kernel particle method for unified multiphase continuum simulation","display_name":"A moving least square reproducing kernel particle method for unified multiphase continuum simulation","publication_year":2020,"publication_date":"2020-11-27","ids":{"openalex":"https://openalex.org/W3108809256","doi":"https://doi.org/10.1145/3414685.3417809","mag":"3108809256"},"language":"en","primary_location":{"id":"doi:10.1145/3414685.3417809","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3414685.3417809","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/A5048710423","display_name":"Xiao-Song Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Song Chen","raw_affiliation_strings":["Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055950364","display_name":"Chenfeng Li","orcid":"https://orcid.org/0000-0003-0441-211X"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chen-Feng Li","raw_affiliation_strings":["Swansea University, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swansea University, United Kingdom","institution_ids":["https://openalex.org/I39586589"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064027855","display_name":"Geng-Chen Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Geng-Chen Cao","raw_affiliation_strings":["Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063206903","display_name":"Yuntao Jiang","orcid":"https://orcid.org/0000-0002-6822-0419"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun-Tao Jiang","raw_affiliation_strings":["Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037233582","display_name":"Shi\u2010Min Hu","orcid":"https://orcid.org/0000-0001-7507-6542"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi-Min Hu","raw_affiliation_strings":["Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2218,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.87214137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"6","first_page":"1","last_page":"15"},"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":0.9977999925613403,"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/T10535","display_name":"Landslides and related hazards","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.771005392074585},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.527481734752655},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.5048173069953918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4939001202583313},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49054092168807983},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47102484107017517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34472018480300903},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.27414751052856445},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.25599828362464905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24965065717697144},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2355896234512329},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22829240560531616},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18241912126541138}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.771005392074585},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.527481734752655},{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.5048173069953918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4939001202583313},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49054092168807983},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47102484107017517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34472018480300903},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27414751052856445},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25599828362464905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24965065717697144},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2355896234512329},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22829240560531616},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18241912126541138},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3414685.3417809","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3414685.3417809","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:cronfa.swan.ac.uk:cronfa55722","is_oa":false,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa55722","pdf_url":null,"source":{"id":"https://openalex.org/S4306401612","display_name":"Cronfa (Swansea University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39586589","host_organization_name":"Swansea University","host_organization_lineage":["https://openalex.org/I39586589"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},{"id":"pmh:oai:cronfa.swan.ac.uk:cronfa55962","is_oa":false,"landing_page_url":"https://cronfa.swan.ac.uk/Record/cronfa55962","pdf_url":null,"source":{"id":"https://openalex.org/S4306401612","display_name":"Cronfa (Swansea University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39586589","host_organization_name":"Swansea University","host_organization_lineage":["https://openalex.org/I39586589"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1977211664","https://openalex.org/W1980440934","https://openalex.org/W1983301869","https://openalex.org/W1983487923","https://openalex.org/W2022566626","https://openalex.org/W2025164704","https://openalex.org/W2029315739","https://openalex.org/W2040246849","https://openalex.org/W2046356862","https://openalex.org/W2054732436","https://openalex.org/W2059844941","https://openalex.org/W2066986143","https://openalex.org/W2074134204","https://openalex.org/W2074608547","https://openalex.org/W2076195990","https://openalex.org/W2091674402","https://openalex.org/W2093153535","https://openalex.org/W2112961542","https://openalex.org/W2115513040","https://openalex.org/W2126195192","https://openalex.org/W2128943711","https://openalex.org/W2134380175","https://openalex.org/W2136220107","https://openalex.org/W2136745576","https://openalex.org/W2141435354","https://openalex.org/W2150830789","https://openalex.org/W2160489142","https://openalex.org/W2162410491","https://openalex.org/W2168414272","https://openalex.org/W2171186721","https://openalex.org/W2415662883","https://openalex.org/W2429115365","https://openalex.org/W2465888780","https://openalex.org/W2469863283","https://openalex.org/W2559834090","https://openalex.org/W2601710648","https://openalex.org/W2736344262","https://openalex.org/W2737627651","https://openalex.org/W2739405427","https://openalex.org/W2769057077","https://openalex.org/W2769733039","https://openalex.org/W2770820244","https://openalex.org/W2809724354","https://openalex.org/W2810216202","https://openalex.org/W2810873357","https://openalex.org/W2883301412","https://openalex.org/W2911477132","https://openalex.org/W2977371611","https://openalex.org/W2985293775","https://openalex.org/W2988330101","https://openalex.org/W2989312911","https://openalex.org/W3048470710","https://openalex.org/W3156948055","https://openalex.org/W4240399951","https://openalex.org/W4241614188","https://openalex.org/W4252833217"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3032419129","https://openalex.org/W4280618034","https://openalex.org/W2765325264","https://openalex.org/W3012177792","https://openalex.org/W2326077291","https://openalex.org/W2992443586"],"abstract_inverted_index":{"In":[0],"physically":[1],"based-based":[2],"animation,":[3],"pure":[4,22],"particle":[5],"methods":[6],"are":[7,136],"popular":[8],"due":[9],"to":[10,65,106,125,138],"their":[11],"simple":[12],"data":[13],"structure,":[14],"easy":[15],"implementation,":[16],"and":[17,25,86,89,102,112,119,153],"convenient":[18],"parallelization.":[19],"As":[20],"a":[21,43,79,92,116],"particle-based":[23],"method":[24],"using":[26],"Galerkin":[27],"discretization,":[28],"the":[29,98,109,122,140],"Moving":[30,54],"Least":[31,55],"Square":[32,56],"Reproducing":[33],"Kernel":[34],"Method":[35],"(MLSRK)":[36],"was":[37],"developed":[38],"in":[39,62,91,115],"engineering":[40],"computation":[41],"as":[42],"general":[44,127],"numerical":[45],"tool":[46],"for":[47,69],"solving":[48],"PDEs.":[49],"The":[50],"basic":[51],"idea":[52],"of":[53,133,142],"(MLS)":[57],"has":[58],"also":[59],"been":[60],"used":[61],"computer":[63],"graphics":[64],"estimate":[66],"deformation":[67],"gradient":[68],"deformable":[70],"solids.":[71],"Based":[72],"on":[73],"these":[74],"previous":[75],"studies,":[76],"we":[77,96],"propose":[78],"multiphase":[80,117,128,145,154],"MLSRK":[81,123,146],"framework":[82],"that":[83],"animates":[84],"complex":[85],"coupled":[87],"fluids":[88],"solids":[90],"unified":[93],"manner.":[94],"Specifically,":[95],"use":[97],"Cauchy":[99],"momentum":[100,110],"equation":[101],"phase":[103,113],"field":[104],"model":[105],"uniformly":[107],"capture":[108],"balance":[111],"evolution/interaction":[114],"system,":[118],"systematically":[120],"formulate":[121],"discretization":[124],"support":[126],"constitutive":[129],"models.":[130],"A":[131],"series":[132],"animation":[134],"examples":[135],"presented":[137],"demonstrate":[139],"performance":[141],"our":[143],"new":[144],"framework,":[147],"including":[148],"hyperelastic,":[149],"elastoplastic,":[150],"viscous,":[151],"fracturing":[152],"coupling":[155],"behaviours":[156],"etc.":[157]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}