{"id":"https://openalex.org/W2962383727","doi":"https://doi.org/10.1137/19m1292023","title":"A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media","display_name":"A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2962383727","doi":"https://doi.org/10.1137/19m1292023","mag":"2962383727"},"language":"en","primary_location":{"id":"doi:10.1137/19m1292023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1292023","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.04229","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089036199","display_name":"Thomas Roy","orcid":"https://orcid.org/0000-0002-4286-4507"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Roy","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4286-4507","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033389317","display_name":"T.B. J\u00f6nsth\u00f6vel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tom B. J\u00f6nsth\u00f6vel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033480798","display_name":"Christopher Lemon","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christopher Lemon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5110146377","display_name":"Andrew J. Wathen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew J. Wathen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1801,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.4262352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"4","first_page":"B1014","last_page":"B1040"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9962999820709229,"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9930999875068665,"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/preconditioner","display_name":"Preconditioner","score":0.814323902130127},{"id":"https://openalex.org/keywords/isothermal-process","display_name":"Isothermal process","score":0.7021045684814453},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.622136116027832},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.5246713161468506},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.46921029686927795},{"id":"https://openalex.org/keywords/stage","display_name":"Stage (stratigraphy)","score":0.4323732554912567},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"Multiphase flow","score":0.43016910552978516},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.42093175649642944},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4126568138599396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34098586440086365},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3395863175392151},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3389125168323517},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2521075904369354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17149516940116882},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17041873931884766},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.11025559902191162}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.814323902130127},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.7021045684814453},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.622136116027832},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5246713161468506},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.46921029686927795},{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.4323732554912567},{"id":"https://openalex.org/C2779379648","wikidata":"https://www.wikidata.org/wiki/Q1559665","display_name":"Multiphase flow","level":2,"score":0.43016910552978516},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.42093175649642944},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4126568138599396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34098586440086365},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3395863175392151},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3389125168323517},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2521075904369354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17149516940116882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17041873931884766},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.11025559902191162},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/19m1292023","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1292023","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.04229","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.04229","pdf_url":"https://arxiv.org/pdf/1907.04229","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":null,"raw_type":"text"},{"id":"mag:2962383727","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.04229.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ora.ox.ac.uk:uuid:b3eaeb8f-0a07-4982-93e1-72c1d7e75f9c","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:b3eaeb8f-0a07-4982-93e1-72c1d7e75f9c","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"},{"id":"doi:10.48550/arxiv.1907.04229","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.04229","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.04229","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.04229","pdf_url":"https://arxiv.org/pdf/1907.04229","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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G667190850","display_name":"EPSRC Centre for Doctoral Training in Industrially Focused Mathematical Modelling","funder_award_id":"EP/L015803/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2962383727.pdf","grobid_xml":"https://content.openalex.org/works/W2962383727.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W7731662","https://openalex.org/W42526868","https://openalex.org/W140909251","https://openalex.org/W1506342804","https://openalex.org/W1525132831","https://openalex.org/W1549748890","https://openalex.org/W1555627060","https://openalex.org/W1961194538","https://openalex.org/W1972541026","https://openalex.org/W1979956566","https://openalex.org/W1992208469","https://openalex.org/W2035374663","https://openalex.org/W2039347557","https://openalex.org/W2039789965","https://openalex.org/W2043522943","https://openalex.org/W2050892063","https://openalex.org/W2051468482","https://openalex.org/W2063857537","https://openalex.org/W2070159602","https://openalex.org/W2084585970","https://openalex.org/W2089184431","https://openalex.org/W2089365840","https://openalex.org/W2094786421","https://openalex.org/W2107979247","https://openalex.org/W2124192278","https://openalex.org/W2124576491","https://openalex.org/W2133248904","https://openalex.org/W2140153041","https://openalex.org/W2168522485","https://openalex.org/W2177116738","https://openalex.org/W2311373530","https://openalex.org/W2341328783","https://openalex.org/W2498157954","https://openalex.org/W2547697596","https://openalex.org/W2587216618","https://openalex.org/W2622013296","https://openalex.org/W2784488599","https://openalex.org/W2911397659","https://openalex.org/W2995668706","https://openalex.org/W3015054424","https://openalex.org/W3099651241","https://openalex.org/W3104566386"],"related_works":["https://openalex.org/W2883651098","https://openalex.org/W2078312223","https://openalex.org/W2003169316","https://openalex.org/W2481872056","https://openalex.org/W2081682689","https://openalex.org/W3168905215","https://openalex.org/W2057917184","https://openalex.org/W2036576928","https://openalex.org/W3167585077","https://openalex.org/W2256621539","https://openalex.org/W2094742389","https://openalex.org/W2145789064","https://openalex.org/W5707759","https://openalex.org/W3160782816","https://openalex.org/W2001557624","https://openalex.org/W658324449","https://openalex.org/W2014884136","https://openalex.org/W2076022333","https://openalex.org/W2043674430","https://openalex.org/W2384112842"],"abstract_inverted_index":{"For":[0],"both":[1],"isothermal":[2,37],"and":[3],"thermal":[4,45,65],"petroleum":[5],"reservoir":[6,135],"simulation,":[7],"the":[8,15,25,36,42,51,76,90,120],"constrained":[9,77],"pressure":[10,30],"residual":[11,79],"(CPR)":[12],"method":[13,19,115],"is":[14,20,40,61,87,132],"industry-standard":[16],"preconditioner.":[17],"This":[18],"a":[21,28,83,98,108],"two-stage":[22,130],"process":[23],"involving":[24],"solution":[26],"of":[27,50,74,123,128],"restricted":[29,84],"system.":[31,110],"While":[32],"initially":[33],"designed":[34],"for":[35,44,107,116,134],"case,":[38],"CPR":[39],"also":[41],"standard":[43],"cases.":[46,66,138],"However,":[47],"its":[48],"treatment":[49],"energy":[52],"conservation":[53],"equation":[54],"does":[55],"not":[56],"incorporate":[57],"heat":[58],"diffusion,":[59],"which":[60],"often":[62],"dominant":[63],"in":[64,89],"In":[67,93],"this":[68,114],"paper,":[69],"we":[70,96,112],"present":[71],"an":[72,102],"extension":[73],"CPR:":[75],"pressure-temperature":[78,85,109],"(CPTR)":[80],"method,":[81],"where":[82],"system":[86],"solved":[88],"first":[91,121],"stage.":[92],"previous":[94],"work,":[95],"introduced":[97],"block":[99],"preconditioner":[100],"with":[101],"efficient":[103],"Schur":[104],"complement":[105],"approximation":[106],"Here,":[111],"extend":[113],"multiphase":[117],"flow":[118],"as":[119],"stage":[122],"CPTR.":[124],"The":[125],"algorithmic":[126],"performance":[127],"different":[129],"preconditioners":[131],"evaluated":[133],"simulation":[136],"test":[137]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-07-28T00:00:00"}