{"id":"https://openalex.org/W2416376568","doi":"https://doi.org/10.1137/15m1020988","title":"Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity","display_name":"Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2416376568","doi":"https://doi.org/10.1137/15m1020988","mag":"2416376568"},"language":"en","primary_location":{"id":"doi:10.1137/15m1020988","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1020988","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5047662931","display_name":"Fran\u00e7ois P. Hamon","orcid":"https://orcid.org/0000-0001-8229-963X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois P. Hamon","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033541460","display_name":"Hamdi A. Tchelepi","orcid":"https://orcid.org/0000-0002-3084-6635"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hamdi A. Tchelepi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047662931"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0855,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90402921,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"54","issue":"3","first_page":"1682","last_page":"1712"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9958000183105469,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9958000183105469,"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":0.9905999898910522,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9894000291824341,"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/upwind-scheme","display_name":"Upwind scheme","score":0.9330347776412964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.776080310344696},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.6614468097686768},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5511776208877563},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5198874473571777},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45272117853164673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4494219124317169},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.4340147376060486},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4191472828388214},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36820799112319946},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1569887399673462}],"concepts":[{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.9330347776412964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.776080310344696},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.6614468097686768},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5511776208877563},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5198874473571777},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45272117853164673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4494219124317169},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.4340147376060486},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4191472828388214},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36820799112319946},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1569887399673462},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1137/15m1020988","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1020988","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W247214132","https://openalex.org/W1976606387","https://openalex.org/W1979611279","https://openalex.org/W1993510862","https://openalex.org/W2006388945","https://openalex.org/W2020982326","https://openalex.org/W2040415781","https://openalex.org/W2041978231","https://openalex.org/W2052124644","https://openalex.org/W2058364933","https://openalex.org/W2060921938","https://openalex.org/W2063015944","https://openalex.org/W2066501150","https://openalex.org/W2090760640","https://openalex.org/W2093708727","https://openalex.org/W2592885510","https://openalex.org/W3044656254","https://openalex.org/W3213753921","https://openalex.org/W4297084762"],"related_works":["https://openalex.org/W1672500991","https://openalex.org/W2143576483","https://openalex.org/W2091196763","https://openalex.org/W2041609367","https://openalex.org/W2978948323","https://openalex.org/W1993547033","https://openalex.org/W2386817164","https://openalex.org/W85277256","https://openalex.org/W2090733834","https://openalex.org/W1981855854"],"abstract_inverted_index":{"The":[0],"systems":[1],"of":[2,11,30,106,115,134,144,187],"algebraic":[3],"equations":[4,165],"arising":[5],"from":[6],"implicit":[7],"(backward-Euler)":[8],"finite-volume":[9],"discretization":[10],"the":[12,28,36,84,104,121,126,145,155,161,185,191,196,200],"conservation":[13,101],"laws":[14],"governing":[15,166],"multiphase":[16],"flow":[17,32,74,168],"in":[18,147,171],"porous":[19],"media":[20],"are":[21],"quite":[22],"challenging":[23],"for":[24,52,72,99,221],"nonlinear":[25,53],"solvers.":[26,54],"In":[27,151],"presence":[29],"countercurrent":[31],"due":[33],"to":[34,78,111,159,190,199],"buoyancy,":[35],"numerical":[37,81,122,157,206],"flux":[38,82,123],"obtained":[39,124],"with":[40,125,203],"single-point":[41],"Phase-Potential":[42],"Upwinding":[43,96],"(PPU)":[44],"is":[45,128,139,211],"not":[46],"differentiable,":[47],"which":[48],"causes":[49],"convergence":[50,219],"difficulties":[51],"Recently,":[55],"[Lee,":[56],"Efendiev,":[57,108],"and":[58,109,130,169,180,183,214,223],"Tchelepi,":[59],"Adv.":[60],"Water":[61],"Resour.,":[62],"82":[63],"(2015),":[64],"pp.":[65],"27--38]":[66],"proposed":[67],"a":[68,79,131,141,188],"hybrid":[69],"upwinding":[70],"strategy":[71],"two-phase":[73],"that":[75,120,209],"gives":[76],"rise":[77],"differentiable":[80,142],"across":[83],"entire":[85],"viscous-gravity":[86],"parameter":[87],"space.":[88],"Here,":[89],"we":[90,153,177,194],"first":[91],"present":[92],"an":[93,112],"Implicit":[94],"Hybrid":[95],"(IHU)":[97],"scheme":[98,158,198],"hyperbolic":[100],"laws,":[102],"extending":[103],"work":[105],"Lee,":[107],"Tchelepi":[110],"arbitrary":[113],"number":[114],"fluid":[116],"phases.":[117],"We":[118],"show":[119],"IHU":[127,156,197,210],"consistent,":[129],"monotone":[132],"function":[133,143],"its":[135],"own":[136],"saturation.":[137],"It":[138],"also":[140],"saturations":[146],"one":[148],"spatial":[149],"dimension.":[150],"addition,":[152],"generalize":[154],"solve":[160],"elliptic-hyperbolic":[162],"partial":[163],"differential":[164],"coupled":[167],"transport":[170],"multiple":[172],"dimensions.":[173],"For":[174],"this":[175],"problem,":[176],"derive":[178],"pressure":[179],"saturation":[181],"estimates,":[182],"prove":[184],"existence":[186],"solution":[189],"scheme.":[192],"Finally,":[193],"apply":[195],"Buckley--Leverett":[201],"problem":[202],"buoyancy.":[204],"Our":[205],"experiments":[207],"confirm":[208],"nonoscillatory,":[212],"convergent,":[213],"improves":[215],"upon":[216],"Newton's":[217],"method":[218],"rate":[220],"two-":[222],"three-phase":[224],"flow.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
