{"id":"https://openalex.org/W4324139501","doi":"https://doi.org/10.1515/mcma-2023-2002","title":"A time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods","display_name":"A time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods","publication_year":2023,"publication_date":"2023-03-14","ids":{"openalex":"https://openalex.org/W4324139501","doi":"https://doi.org/10.1515/mcma-2023-2002"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2023-2002","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2023-2002","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2304.09079","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082573487","display_name":"Guilhem Balvet","orcid":"https://orcid.org/0000-0002-1172-5520"},"institutions":[{"id":"https://openalex.org/I4210130371","display_name":"Centre d'Enseignement et de Recherche en Environnement Atmosph\u00e9rique","ror":"https://ror.org/03a84yw54","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210130371","https://openalex.org/I4210143116","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guilhem Balvet","raw_affiliation_strings":["EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France"],"raw_orcid":"https://orcid.org/0000-0002-1172-5520","affiliations":[{"raw_affiliation_string":"EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France","institution_ids":["https://openalex.org/I4210130371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028552884","display_name":"Jean-Pierre Minier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210130371","display_name":"Centre d'Enseignement et de Recherche en Environnement Atmosph\u00e9rique","ror":"https://ror.org/03a84yw54","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210130371","https://openalex.org/I4210143116","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Minier","raw_affiliation_strings":["EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France"],"raw_orcid":"https://orcid.org/0000-0002-6838-4464","affiliations":[{"raw_affiliation_string":"EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France","institution_ids":["https://openalex.org/I4210130371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058701318","display_name":"Christophe Henry","orcid":"https://orcid.org/0000-0001-9269-0093"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Henry","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur , Inria, CNRS , Sophia-Antipolis , France"],"raw_orcid":"https://orcid.org/0000-0001-9269-0093","affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur , Inria, CNRS , Sophia-Antipolis , France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033196923","display_name":"Yelva Roustan","orcid":"https://orcid.org/0000-0002-4816-5600"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210130371","display_name":"Centre d'Enseignement et de Recherche en Environnement Atmosph\u00e9rique","ror":"https://ror.org/03a84yw54","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210130371","https://openalex.org/I4210143116","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yelva Roustan","raw_affiliation_strings":["CEREA , \u00c9cole des Ponts , Champs-sur-Marne ; and EDF R&D, \u00cele-de-France , France"],"raw_orcid":"https://orcid.org/0000-0002-4816-5600","affiliations":[{"raw_affiliation_string":"CEREA , \u00c9cole des Ponts , Champs-sur-Marne ; and EDF R&D, \u00cele-de-France , France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210130371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065004676","display_name":"Martin Ferrand","orcid":"https://orcid.org/0000-0002-3995-1503"},"institutions":[{"id":"https://openalex.org/I4210130371","display_name":"Centre d'Enseignement et de Recherche en Environnement Atmosph\u00e9rique","ror":"https://ror.org/03a84yw54","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210130371","https://openalex.org/I4210143116","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Martin Ferrand","raw_affiliation_strings":["EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France"],"raw_orcid":"https://orcid.org/0000-0002-3995-1503","affiliations":[{"raw_affiliation_string":"EDF R&D , 6 Quai Watier, 78400 Chatou , France ; and CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France, France","institution_ids":["https://openalex.org/I4210130371"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5082573487"],"corresponding_institution_ids":["https://openalex.org/I4210130371"],"apc_list":null,"apc_paid":null,"fwci":1.1986,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80376028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"29","issue":"2","first_page":"95","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9646000266075134,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T11371","display_name":"Wind and Air Flow Studies","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"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":0.6033084392547607},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5969467759132385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.525084376335144},{"id":"https://openalex.org/keywords/residence-time","display_name":"Residence time (fluid dynamics)","score":0.48057031631469727},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.47987809777259827},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.45461851358413696},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4526604413986206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43140149116516113},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.42451146245002747},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.4205670654773712},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41792556643486023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41176557540893555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39493295550346375},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15699797868728638},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15449780225753784},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1109052300453186}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6033084392547607},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5969467759132385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.525084376335144},{"id":"https://openalex.org/C2775913793","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Residence time (fluid dynamics)","level":2,"score":0.48057031631469727},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.47987809777259827},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.45461851358413696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4526604413986206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43140149116516113},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.42451146245002747},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.4205670654773712},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41792556643486023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41176557540893555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39493295550346375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15699797868728638},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15449780225753784},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1109052300453186},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"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/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1515/mcma-2023-2002","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2023-2002","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2304.09079","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.09079","pdf_url":"https://arxiv.org/pdf/2304.09079","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:HAL:hal-04059629v1","is_oa":true,"landing_page_url":"https://edf.hal.science/hal-04059629","pdf_url":"https://edf.hal.science/hal-04059629/document","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Monte Carlo Methods and Applications, 2023, 29 (2), pp.95-126. ⟨10.1515/mcma-2023-2002⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2304.09079","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.09079","pdf_url":"https://arxiv.org/pdf/2304.09079","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G5858404334","display_name":null,"funder_award_id":"2020/1387","funder_id":"https://openalex.org/F4320321663","funder_display_name":"Association Nationale de la Recherche et de la Technologie"}],"funders":[{"id":"https://openalex.org/F4320321663","display_name":"Association Nationale de la Recherche et de la Technologie","ror":"https://ror.org/00ht2ab73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W6253552","https://openalex.org/W323536346","https://openalex.org/W624379273","https://openalex.org/W1889114201","https://openalex.org/W1976128297","https://openalex.org/W1976502108","https://openalex.org/W1980475222","https://openalex.org/W2006950934","https://openalex.org/W2008125897","https://openalex.org/W2011144987","https://openalex.org/W2011702259","https://openalex.org/W2021044824","https://openalex.org/W2022916957","https://openalex.org/W2027874434","https://openalex.org/W2029469421","https://openalex.org/W2029782127","https://openalex.org/W2041222706","https://openalex.org/W2049042777","https://openalex.org/W2051849703","https://openalex.org/W2053291935","https://openalex.org/W2053481033","https://openalex.org/W2065812865","https://openalex.org/W2072550877","https://openalex.org/W2074345351","https://openalex.org/W2097646397","https://openalex.org/W2104471335","https://openalex.org/W2105665788","https://openalex.org/W2109532549","https://openalex.org/W2127061564","https://openalex.org/W2135751313","https://openalex.org/W2175031088","https://openalex.org/W2552719978","https://openalex.org/W2963298220","https://openalex.org/W2968186959","https://openalex.org/W2982475610","https://openalex.org/W3099195866","https://openalex.org/W3101200125","https://openalex.org/W3135460778","https://openalex.org/W3162882971","https://openalex.org/W4206677916","https://openalex.org/W4214490774"],"related_works":["https://openalex.org/W2042280983","https://openalex.org/W2321888438","https://openalex.org/W2888652631","https://openalex.org/W1995427843","https://openalex.org/W2369445029","https://openalex.org/W2026456043","https://openalex.org/W1987284827","https://openalex.org/W4320063126","https://openalex.org/W2417662900","https://openalex.org/W1996323220"],"abstract_inverted_index":{"Abstract":[0],"The":[1,25],"purpose":[2],"of":[3,13,53,72,82,92,119],"this":[4,125],"paper":[5],"is":[6,28,78,128],"to":[7,29,57,79,108],"propose":[8],"a":[9,75,104,138,146],"time-step-robust":[10],"cell-to-cell":[11],"integration":[12,39],"particle":[14,58,135,143],"trajectories":[15],"in":[16,20,36,137,145],"3-D":[17],"unstructured":[18],"meshes":[19],"particle/mesh":[21],"Lagrangian":[22],"stochastic":[23,70,110],"methods.":[24],"main":[26],"idea":[27],"dynamically":[30],"update":[31],"the":[32,37,45,64,69,73,83,90,93,99],"mean":[33,113],"fields":[34],"used":[35],"time":[38,46],"by":[40],"splitting,":[41],"for":[42],"each":[43,52,109],"particle,":[44,106],"step":[47],"into":[48],"sub-steps":[49,55],"such":[50],"that":[51,86,97],"these":[54],"corresponds":[56],"cell":[59],"residence":[60,84,120],"times.":[61,121],"This":[62],"reduces":[63],"spatial":[65],"discretization":[66],"error.":[67],"Given":[68],"nature":[71],"models,":[74],"key":[76],"aspect":[77],"derive":[80],"estimations":[81],"times":[85],"do":[87],"not":[88],"anticipate":[89],"future":[91],"Wiener":[94],"process.":[95],"To":[96],"effect,":[98],"new":[100,126],"algorithm":[101,127],"relies":[102],"on":[103,130],"virtual":[105],"attached":[107],"one,":[111],"whose":[112],"conditional":[114],"behavior":[115],"provides":[116],"free-of-statistical-bias":[117],"predictions":[118],"After":[122],"consistency":[123],"checks,":[124],"validated":[129],"two":[131],"representative":[132],"test":[133],"cases:":[134],"dispersion":[136],"statistically":[139],"uniform":[140],"flow":[141],"and":[142],"dynamics":[144],"non-uniform":[147],"flow.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}