{"id":"https://openalex.org/W4315781653","doi":"https://doi.org/10.3390/a16010050","title":"Numerical Study of Viscoplastic Flows Using a Multigrid Initialization Algorithm","display_name":"Numerical Study of Viscoplastic Flows Using a Multigrid Initialization Algorithm","publication_year":2023,"publication_date":"2023-01-11","ids":{"openalex":"https://openalex.org/W4315781653","doi":"https://doi.org/10.3390/a16010050"},"language":"en","primary_location":{"id":"doi:10.3390/a16010050","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16010050","pdf_url":"https://www.mdpi.com/1999-4893/16/1/50/pdf?version=1673444415","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/16/1/50/pdf?version=1673444415","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004400647","display_name":"Souhail Maazioui","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210131560","display_name":"Universit\u00e9 Mohammed VI Polytechnique","ror":"https://ror.org/03xc55g68","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210131560"]},{"id":"https://openalex.org/I127336678","display_name":"Ecole Mohammadia d'Ing\u00e9nieurs","ror":"https://ror.org/00md3qm14","country_code":"MA","type":"education","lineage":["https://openalex.org/I127336678"]},{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["FR","MA"],"is_corresponding":false,"raw_author_name":"Souhail Maazioui","raw_affiliation_strings":["Hydraulic Systems Analysis Laboratory, Department of Civil Engineering, Mohammadia School of Engineering, Mohammed V University in Rabat, Agdal, Rabat 10090, Morocco","LAGA, Universit\u00e9 Sorbonne Paris Nord, UMR 7539, 93430 Villetaneuse, France","Modeling Simulation & Data Analysis (MSDA), Mohammed VI Polytechnic University, Lot 660-Hay Moulay Rachid, Benguerir 43150, Morocco"],"affiliations":[{"raw_affiliation_string":"Hydraulic Systems Analysis Laboratory, Department of Civil Engineering, Mohammadia School of Engineering, Mohammed V University in Rabat, Agdal, Rabat 10090, Morocco","institution_ids":["https://openalex.org/I127336678","https://openalex.org/I126477371"]},{"raw_affiliation_string":"LAGA, Universit\u00e9 Sorbonne Paris Nord, UMR 7539, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I39804081","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"Modeling Simulation & Data Analysis (MSDA), Mohammed VI Polytechnic University, Lot 660-Hay Moulay Rachid, Benguerir 43150, Morocco","institution_ids":["https://openalex.org/I4210131560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091328712","display_name":"Imad Kissami","orcid":"https://orcid.org/0000-0001-6740-1085"},"institutions":[{"id":"https://openalex.org/I4210131560","display_name":"Universit\u00e9 Mohammed VI Polytechnique","ror":"https://ror.org/03xc55g68","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210131560"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Imad Kissami","raw_affiliation_strings":["Modeling Simulation & Data Analysis (MSDA), Mohammed VI Polytechnic University, Lot 660-Hay Moulay Rachid, Benguerir 43150, Morocco"],"affiliations":[{"raw_affiliation_string":"Modeling Simulation & Data Analysis (MSDA), Mohammed VI Polytechnic University, Lot 660-Hay Moulay Rachid, Benguerir 43150, Morocco","institution_ids":["https://openalex.org/I4210131560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052952879","display_name":"Fayssal Benkhaldoun","orcid":"https://orcid.org/0000-0003-1186-5184"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fayssal Benkhaldoun","raw_affiliation_strings":["LAGA, Universit\u00e9 Sorbonne Paris Nord, UMR 7539, 93430 Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"LAGA, Universit\u00e9 Sorbonne Paris Nord, UMR 7539, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I39804081","https://openalex.org/I4210091279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044761689","display_name":"Driss Ouazar","orcid":"https://orcid.org/0000-0002-2472-3532"},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]},{"id":"https://openalex.org/I127336678","display_name":"Ecole Mohammadia d'Ing\u00e9nieurs","ror":"https://ror.org/00md3qm14","country_code":"MA","type":"education","lineage":["https://openalex.org/I127336678"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Driss Ouazar","raw_affiliation_strings":["Hydraulic Systems Analysis Laboratory, Department of Civil Engineering, Mohammadia School of Engineering, Mohammed V University in Rabat, Agdal, Rabat 10090, Morocco"],"affiliations":[{"raw_affiliation_string":"Hydraulic Systems Analysis Laboratory, Department of Civil Engineering, Mohammadia School of Engineering, Mohammed V University in Rabat, Agdal, Rabat 10090, Morocco","institution_ids":["https://openalex.org/I127336678","https://openalex.org/I126477371"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052952879"],"corresponding_institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210091279","https://openalex.org/I4210102686"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7202,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61639962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"1","first_page":"50","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9973000288009644,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9961000084877014,"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/multigrid-method","display_name":"Multigrid method","score":0.7269302010536194},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5731542110443115},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5120168328285217},{"id":"https://openalex.org/keywords/viscoplasticity","display_name":"Viscoplasticity","score":0.4821045696735382},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.46824896335601807},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4669339060783386},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.45797818899154663},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4491878151893616},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4313029944896698},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4261884093284607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40167155861854553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3832176625728607},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34971970319747925},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3467605412006378},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31096017360687256},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.2596808075904846},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.23685774207115173},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2215399444103241},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1783052682876587},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16475909948349},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1403440535068512},{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.07439443469047546}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7269302010536194},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5731542110443115},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5120168328285217},{"id":"https://openalex.org/C55359492","wikidata":"https://www.wikidata.org/wiki/Q7935671","display_name":"Viscoplasticity","level":4,"score":0.4821045696735382},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.46824896335601807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4669339060783386},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.45797818899154663},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4491878151893616},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4313029944896698},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4261884093284607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40167155861854553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3832176625728607},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34971970319747925},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3467605412006378},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31096017360687256},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.2596808075904846},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.23685774207115173},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2215399444103241},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1783052682876587},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16475909948349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1403440535068512},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.07439443469047546},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a16010050","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16010050","pdf_url":"https://www.mdpi.com/1999-4893/16/1/50/pdf?version=1673444415","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2973d5bea6cb4ceeb1cbe18e565528e7","is_oa":true,"landing_page_url":"https://doaj.org/article/2973d5bea6cb4ceeb1cbe18e565528e7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 16, Iss 1, p 50 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/16/1/50/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a16010050","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 16; Issue 1; Pages: 50","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a16010050","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16010050","pdf_url":"https://www.mdpi.com/1999-4893/16/1/50/pdf?version=1673444415","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320316682","display_name":"Universit\u00e9 Mohammed VI Polytechnique","ror":"https://ror.org/03xc55g68"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4315781653.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W41350154","https://openalex.org/W1966020307","https://openalex.org/W1987783488","https://openalex.org/W2021041911","https://openalex.org/W2034434606","https://openalex.org/W2035545087","https://openalex.org/W2047310022","https://openalex.org/W2047800515","https://openalex.org/W2050109336","https://openalex.org/W2051965819","https://openalex.org/W2056474959","https://openalex.org/W2056704927","https://openalex.org/W2076490169","https://openalex.org/W2097960207","https://openalex.org/W2108106711","https://openalex.org/W2124192278","https://openalex.org/W2127740371","https://openalex.org/W2160918377","https://openalex.org/W2163888163","https://openalex.org/W2314338840","https://openalex.org/W2570896550","https://openalex.org/W2589427356","https://openalex.org/W2772138884","https://openalex.org/W2809966754","https://openalex.org/W2888470699","https://openalex.org/W2938525017","https://openalex.org/W2982571274","https://openalex.org/W3008096265","https://openalex.org/W3026162816","https://openalex.org/W3106402206","https://openalex.org/W3107247847","https://openalex.org/W3179107441","https://openalex.org/W3179798321","https://openalex.org/W3200961469","https://openalex.org/W3215266649","https://openalex.org/W4229786028","https://openalex.org/W4282840966","https://openalex.org/W4310030249","https://openalex.org/W6801822048"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W3204184292","https://openalex.org/W1519938374","https://openalex.org/W2329851249","https://openalex.org/W3176564347","https://openalex.org/W2089339996","https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W2023923962"],"abstract_inverted_index":{"In":[0,90],"this":[1],"paper,":[2],"an":[3,169],"innovative":[4],"methodology":[5],"to":[6,128],"handle":[7],"the":[8,25,49,62,68,75,95,98,102,106,112,115,118,125,129,137,140,144,150,165,178,192],"numerical":[9],"simulation":[10],"of":[11,36,71,97,108,114,139,187],"viscoplastic":[12,154],"flows":[13],"is":[14,147],"proposed":[15,63],"based":[16,162],"on":[17,43,105,163],"a":[18,44,173],"multigrid":[19,166],"initialization":[20,170],"algorithm":[21],"in":[22,65],"conjunction":[23],"with":[24,67],"SIMPLE":[26],"procedure.":[27],"The":[28],"governing":[29],"equations":[30],"for":[31,58,86,191],"incompressible":[32],"flow,":[33],"which":[34],"consist":[35],"continuity":[37],"and":[38,53,55,80,88,101,111,143],"momentum":[39],"equations,":[40],"are":[41],"solved":[42],"collocated":[45],"grid":[46,181,194],"by":[47,149,176],"combining":[48],"finite":[50],"volume":[51],"discretization":[52],"Rhie":[54],"chow":[56],"interpolation":[57],"pressure\u2013velocity":[59],"coupling.":[60],"Using":[61],"solver":[64],"combination":[66],"regularization":[69],"scheme":[70],"Papanastasiou,":[72],"we":[73,93],"chose":[74],"square":[76],"lid-driven":[77],"cavity":[78],"flow":[79,82,119,122],"pipe":[81],"as":[83,168],"test":[84],"cases":[85],"validation":[87],"discussion.":[89],"doing":[91],"so,":[92],"study":[94],"influence":[96],"Bingham":[99],"number":[100,104],"Reynolds":[103],"development":[107],"rigid":[109],"areas":[110],"features":[113],"vortices":[116],"within":[117],"domain.":[120],"Pipe":[121],"results":[123],"illustrate":[124],"flow\u2019s":[126],"response":[127],"stress":[130],"growth":[131],"parameter":[132],"values.":[133],"We":[134],"show":[135],"that":[136,159],"representation":[138],"yield":[141],"surface":[142],"plug":[145],"zone":[146],"influenced":[148],"chosen":[151],"value.":[152],"Regarding":[153],"flows,":[155],"our":[156,160],"experiments":[157],"demonstrate":[158],"approach":[161],"using":[164],"method":[167],"procedure":[171],"makes":[172],"significant":[174],"contribution":[175],"outperforming":[177],"classic":[179],"single":[180],"method.":[182],"A":[183],"computation":[184],"speed-up":[185],"ratio":[186],"6.45":[188],"was":[189],"achieved":[190],"finest":[193],"size":[195],"(320":[196],"\u00d7":[197],"320).":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2023-01-13T00:00:00"}
