{"id":"https://openalex.org/W2888490000","doi":"https://doi.org/10.13016/m2r49gc8v","title":"Fast Solvers and Preconditioners for Multiphase Flow in Porous Media","display_name":"Fast Solvers and Preconditioners for Multiphase Flow in Porous Media","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2888490000","doi":"https://doi.org/10.13016/m2r49gc8v","mag":"2888490000"},"language":"en","primary_location":{"id":"pmh:oai:drum.lib.umd.edu:1903/20937","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/20937","pdf_url":"http://hdl.handle.net/1903/20937","source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"},"type":"dissertation","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1903/20937","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024768759","display_name":"Quan M. Bui","orcid":"https://orcid.org/0000-0003-2648-0586"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bui, Quan Minh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5024768759"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9801999926567078,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.9801999926567078,"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":0.9485999941825867,"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/T10491","display_name":"Enhanced Oil Recovery Techniques","score":0.9408000111579895,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6125950813293457},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.5701882839202881},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4440910220146179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4255627989768982},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.2792584300041199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2637847661972046},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.233480304479599},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.20501628518104553},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1269461214542389},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07772967219352722},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.07069101929664612}],"concepts":[{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6125950813293457},{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.5701882839202881},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4440910220146179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4255627989768982},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.2792584300041199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2637847661972046},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.233480304479599},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.20501628518104553},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1269461214542389},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07772967219352722},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07069101929664612}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:drum.lib.umd.edu:1903/20937","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/20937","pdf_url":"http://hdl.handle.net/1903/20937","source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"},{"id":"mag:2888490000","is_oa":false,"landing_page_url":"https://drum.lib.umd.edu/handle/1903/20937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"doi:10.13016/m2r49gc8v","is_oa":true,"landing_page_url":"https://doi.org/10.13016/m2r49gc8v","pdf_url":null,"source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Collection"}],"best_oa_location":{"id":"pmh:oai:drum.lib.umd.edu:1903/20937","is_oa":true,"landing_page_url":"http://hdl.handle.net/1903/20937","pdf_url":"http://hdl.handle.net/1903/20937","source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dissertation"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2888490000.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3039968181","https://openalex.org/W3082517481","https://openalex.org/W2937779520","https://openalex.org/W65081542","https://openalex.org/W2802365918","https://openalex.org/W3016026481","https://openalex.org/W3037299538","https://openalex.org/W1997784370","https://openalex.org/W2560842458","https://openalex.org/W3101771482","https://openalex.org/W1575618611","https://openalex.org/W1501183190","https://openalex.org/W1530096613","https://openalex.org/W2314530192","https://openalex.org/W2750053066","https://openalex.org/W2322354326","https://openalex.org/W843647562","https://openalex.org/W3097779867","https://openalex.org/W2921322826","https://openalex.org/W2134587918"],"abstract_inverted_index":{"Multiphase":[0],"flow":[1,321,485,508],"is":[2,24,170,186,227,237,242,278,440,464,556],"a":[3,7,27,116,123,138,154,163,197,201,213,281,291,342,380,391,460,503,515,522],"critical":[4],"process":[5],"in":[6,234,322],"wide":[8],"range":[9],"of":[10,30,40,53,100,157,206,209,223,231,252,273,290,338,348,350,358,383,405,429,496,505,525],"applications,":[11],"including":[12,372],"carbon":[13],"sequestration,":[14],"contaminant":[15],"remediation,":[16],"and":[17,80,108,173,295,298,328,345,390,432,443,456,494,532,546,558],"groundwater":[18],"management.":[19],"Typically,":[20],"this":[21,168,235,248,309],"pro-":[22],"cess":[23],"modeled":[25],"by":[26,35,133,426],"nonlinear":[28,139,254],"system":[29,136,185,286],"partial":[31],"differential":[32],"equations":[33,339],"derived":[34,340,394],"considering":[36],"the":[37,51,66,98,101,135,144,158,189,193,207,210,224,229,250,253,259,267,274,284,288,335,356,369,378,402,406,411,415,436,452,467,478,492,497,526,530,537,544,547,553,576],"mass":[38],"conservation":[39],"each":[41],"phase":[42,54,57,81,94,106,109,117,128,164,243,282,487,510],"(e.g.,":[43],"oil,":[44],"water),":[45],"along":[46],"with":[47,93,418,446,473,486,509,570],"constitutive":[48],"laws":[49],"for":[50,126,175,192,333,367,481,502,541,560,567],"relationship":[52],"velocity":[55],"to":[56,70,85,181,187,218,261,265,313,318,377,420,471],"pressure.":[58],"The":[59,90,271],"problem":[60,92,141,294,421,447],"becomes":[61,296],"much":[62],"more":[63,171],"complex":[64],"if":[65],"phases":[67],"are":[68,414],"allowed":[69],"contain":[71],"multiple":[72],"chemical":[73],"species":[74],"(also":[75],"called":[76],"components),":[77],"as":[78,105,137,196,423,529,564,566,575],"miscibility":[79],"transition":[82,95,129],"effects":[83,428],"need":[84],"be":[86,219,305],"taken":[87],"into":[88,459],"account.":[89],"main":[91],"stems":[96],"from":[97,341,401,477],"inconsistency":[99],"primary":[102,147,194,232],"variables":[103,195,233],"such":[104,574],"pressure":[107,385],"saturation,":[110],"i.e.":[111],"they":[112],"become":[113],"ill-defined":[114],"when":[115,162,240,280],"appears":[118,165],"or":[119,166],"dis-":[120],"appears.":[121],"Recently,":[122],"new":[124,381,392,412,516,554],"approach":[125,169,226,236,480],"handling":[127],"has":[130,287],"been":[131],"developed":[132],"formulating":[134],"complementarity":[140,275],"(NCP).":[142],"Unlike":[143],"widely":[145],"used":[146],"variable":[148],"switching":[149],"method":[150,216,455,498,519,540,555],"(PVS),":[151],"which":[152,463,520],"requires":[153],"drastic":[155],"reduction":[156,469],"time":[159,177],"step":[160],"size":[161],"disappears,":[167,283],"robust":[172,417,557],"allows":[174],"larger":[176],"steps.":[178],"One":[179],"way":[180],"solve":[182,266],"an":[183,396],"NCP":[184,225,479],"reformulate":[188],"inequality":[190],"constraints":[191],"non-smooth":[198],"equation":[199],"using":[200,395],"complementary":[202],"function":[203,528],"(C-function).":[204],"Because":[205],"non-smoothness":[208],"constraint":[211],"equations,":[212],"semi-smooth":[214,517,538],"Newton":[215,518,539],"needs":[217],"developed.":[220],"Another":[221],"feature":[222],"that":[228,279,410,435,552],"set":[230],"fixed":[238],"even":[239],"there":[241],"transition.":[244],"Not":[245],"only":[246],"does":[247],"improve":[249],"robustness":[251],"solver,":[255],"it":[256,458],"opens":[257],"up":[258],"possibility":[260],"use":[262],"multigrid":[263,301,365,387,461,468],"methods":[264,413],"resulting":[268,476],"linear":[269,285,474],"system.":[270],"disadvantage":[272],"approach,":[276],"however,":[277],"structure":[289],"saddle":[292],"point":[293],"indefinite,":[297],"current":[299],"algebraic":[300,336,364],"(AMG)":[302,366],"algorithms":[303,332],"cannot":[304],"applied":[306,375],"directly.":[307],"In":[308],"work,":[310],"we":[311,326,433,513],"aim":[312],"address":[314],"computational":[315],"issues":[316],"related":[317],"modeling":[319,482],"multiphase":[320,484],"porous":[323],"media.":[324],"First,":[325],"develop":[327],"study":[329],"efficient":[330,442,559],"solution":[331],"solving":[334,368],"systems":[337,475],"fully":[343],"coupled":[344],"time-implicit":[346],"treatment":[347],"models":[349],"incompressible":[351],"two-phase":[352],"flow.":[353],"We":[354,408,449,489,550],"explore":[355],"performance":[357,535],"several":[359],"precon-":[360],"ditioners":[361],"based":[362,465],"on":[363,466],"linearized":[370],"problem,":[371],"\u201cblack-box\u201d":[373],"AMG":[374],"directly":[376],"system,":[379],"version":[382,524],"constrained":[384],"residual":[386],"(CPR-AMG)":[388],"preconditioning,":[389],"preconditioner":[393,439],"approximate":[397],"Schur":[398],"complement":[399],"arising":[400],"block":[403,437,453],"factorization":[404,438,454],"Jacobian.":[407],"show":[409,434,551],"most":[416],"respect":[419],"character":[422],"de-":[424],"termined":[425],"varying":[427],"capillary":[430],"pressures,":[431],"both":[441],"scales":[444],"optimally":[445],"size.":[448],"then":[450],"generalize":[451],"incorporate":[457],"framework":[462],"technique":[470],"deal":[472],"compositional":[483],"transitions.":[488],"demon-":[490],"strate":[491],"effectiveness":[493],"scalability":[495],"through":[499],"numerical":[500],"results":[501],"case":[504],"two-phase,":[506],"two-component":[507],"appearance/disappearance.":[511],"Finally,":[512],"propose":[514],"employs":[521],"smooth":[523],"Fischer-Burmeister":[527,548],"C-function":[531],"evaluate":[533],"its":[534],"against":[536],"two":[542],"C-functions:":[543],"minimum":[545],"functions.":[549],"standard":[561],"benchmark":[562],"problems":[563],"well":[565],"realistic":[568],"examples":[569],"highly":[571],"heterogeneous":[572],"media":[573],"SPE10":[577],"benchmark.":[578]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}
