{"id":"https://openalex.org/W2757204601","doi":"https://doi.org/10.1177/0037549717730898","title":"Validating numerical solution of transient Darcy flow using the stabilized mixed finite element method","display_name":"Validating numerical solution of transient Darcy flow using the stabilized mixed finite element method","publication_year":2017,"publication_date":"2017-09-28","ids":{"openalex":"https://openalex.org/W2757204601","doi":"https://doi.org/10.1177/0037549717730898","mag":"2757204601"},"language":"en","primary_location":{"id":"doi:10.1177/0037549717730898","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0037549717730898","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","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/A5088511322","display_name":"Shahab U. Ansari","orcid":null},"institutions":[{"id":"https://openalex.org/I5400463","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09","country_code":"PK","type":"education","lineage":["https://openalex.org/I5400463"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Shahab U Ansari","raw_affiliation_strings":["Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan","institution_ids":["https://openalex.org/I5400463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100983040","display_name":"Masroor Hussain","orcid":"https://orcid.org/0000-0001-8276-8539"},"institutions":[{"id":"https://openalex.org/I5400463","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09","country_code":"PK","type":"education","lineage":["https://openalex.org/I5400463"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Masroor Hussain","raw_affiliation_strings":["Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan","institution_ids":["https://openalex.org/I5400463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053299257","display_name":"Ahmar Rashid","orcid":"https://orcid.org/0000-0001-7703-926X"},"institutions":[{"id":"https://openalex.org/I5400463","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09","country_code":"PK","type":"education","lineage":["https://openalex.org/I5400463"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ahmar Rashid","raw_affiliation_strings":["Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan","institution_ids":["https://openalex.org/I5400463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042355894","display_name":"Suleman Mazhar","orcid":"https://orcid.org/0000-0002-8445-1532"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Suleman Mazhar","raw_affiliation_strings":["Faculty of Computer Science, Information Technology University, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Information Technology University, Pakistan","institution_ids":["https://openalex.org/I1323252656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074020455","display_name":"S.M. Ahmad","orcid":"https://orcid.org/0000-0002-6986-817X"},"institutions":[{"id":"https://openalex.org/I5400463","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09","country_code":"PK","type":"education","lineage":["https://openalex.org/I5400463"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"SM Ahmad","raw_affiliation_strings":["Faculty of Mechanical Engineering, Ghulam Ishaq Khan Institute, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Ghulam Ishaq Khan Institute, Pakistan","institution_ids":["https://openalex.org/I5400463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087017396","display_name":"Khalid J. Siddiqui","orcid":null},"institutions":[{"id":"https://openalex.org/I5400463","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09","country_code":"PK","type":"education","lineage":["https://openalex.org/I5400463"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Khalid J Siddiqui","raw_affiliation_strings":["Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Engineering, Ghulam Ishaq Khan Institute, Pakistan","institution_ids":["https://openalex.org/I5400463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5088511322"],"corresponding_institution_ids":["https://openalex.org/I5400463"],"apc_list":null,"apc_paid":null,"fwci":0.4939,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64482864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"94","issue":"1","first_page":"55","last_page":"65"},"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/T10894","display_name":"Groundwater flow and contamination studies","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9977999925613403,"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/darcys-law","display_name":"Darcy's law","score":0.649863600730896},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6234530210494995},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5875535011291504},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5642051696777344},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5374385118484497},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.52635657787323},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.48519352078437805},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.4252014756202698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4070401191711426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3104718029499054},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.2924184799194336},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.23222699761390686},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.23083409667015076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20244011282920837},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1859750747680664},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18113714456558228},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.11775872111320496}],"concepts":[{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.649863600730896},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6234530210494995},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5875535011291504},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5642051696777344},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5374385118484497},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.52635657787323},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.48519352078437805},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.4252014756202698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4070401191711426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3104718029499054},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2924184799194336},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.23222699761390686},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.23083409667015076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20244011282920837},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1859750747680664},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18113714456558228},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11775872111320496},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0037549717730898","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0037549717730898","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311526","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29"},{"id":"https://openalex.org/F4320321588","display_name":"Concordia University","ror":"https://ror.org/0420zvk78"},{"id":"https://openalex.org/F4320321904","display_name":"Ghulam Ishaq Khan Institute of Engineering Sciences and Technology","ror":"https://ror.org/01sb6ek09"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W46649008","https://openalex.org/W82561645","https://openalex.org/W656657393","https://openalex.org/W1594460864","https://openalex.org/W1969631425","https://openalex.org/W1972323076","https://openalex.org/W1979402425","https://openalex.org/W1990388147","https://openalex.org/W1998486620","https://openalex.org/W2009813363","https://openalex.org/W2013094943","https://openalex.org/W2016154270","https://openalex.org/W2030715537","https://openalex.org/W2032154276","https://openalex.org/W2036617172","https://openalex.org/W2053058473","https://openalex.org/W2065463790","https://openalex.org/W2082521775","https://openalex.org/W2082959903","https://openalex.org/W2116756994","https://openalex.org/W2149400269","https://openalex.org/W2153979508","https://openalex.org/W2280096509","https://openalex.org/W2419558792","https://openalex.org/W2587288333","https://openalex.org/W2802544685","https://openalex.org/W4237011433","https://openalex.org/W4299935416"],"related_works":["https://openalex.org/W2055696851","https://openalex.org/W2009450764","https://openalex.org/W2524877387","https://openalex.org/W2035057460","https://openalex.org/W1983176903","https://openalex.org/W3193607314","https://openalex.org/W2342396098","https://openalex.org/W1892613812","https://openalex.org/W3146107892","https://openalex.org/W2095262078"],"abstract_inverted_index":{"The":[0,68,92,110,133],"natural":[1],"flows":[2],"through":[3,26],"porous":[4],"media":[5],"often":[6],"exhibit":[7],"transient":[8,56,173],"behavior.":[9],"Some":[10],"of":[11,32,50,55,81,118,121,130,159,165,175],"the":[12,35,51,60,73,79,87,100,119,122,125,131,138,157,160,163,166,172],"examples":[13],"include":[14],"water":[15],"movement":[16],"in":[17,21],"aquifers,":[18],"oil":[19],"flow":[20,58],"reservoirs":[22],"and":[23,124,127,149,162],"blood":[24],"passing":[25],"arteries":[27],"walls.":[28],"For":[29],"accurate":[30],"modeling":[31],"such":[33],"flows,":[34],"Darcy":[36,57,176],"model":[37,93],"is":[38,66,90,94,113,153],"used":[39],"with":[40,146],"an":[41],"additional":[42],"time-dependent":[43],"pressure":[44,104],"term.":[45],"In":[46],"this":[47],"paper,":[48],"validation":[49],"three-dimensional":[52],"numerical":[53,70],"solution":[54,71,112],"using":[59],"stabilized":[61,139],"mixed":[62,140],"finite":[63],"element":[64],"method":[65,77],"presented.":[67],"proposed":[69,111],"employs":[72],"implicit":[74],"backward":[75],"difference":[76],"for":[78,84,103,115],"discretization":[80],"time,":[82],"whereas,":[83],"space":[85],"discretization,":[86],"Galerkin":[88,141],"technique":[89],"used.":[91],"validated":[95],"against":[96],"analytical":[97],"models":[98],"including":[99],"Theis":[101],"equation":[102],"drawdown":[105],"near":[106],"a":[107],"pumping":[108],"well.":[109],"tested":[114],"different":[116],"values":[117],"viscosity":[120,158],"fluid,":[123],"permeability":[126,164],"specific":[128],"storage":[129],"medium.":[132],"error":[134],"analysis":[135],"shows":[136],"that":[137,156],"methods":[142],"give":[143],"stable":[144],"solutions":[145],"no":[147],"oscillations":[148],"spurious":[150],"results.":[151],"It":[152],"also":[154],"found":[155],"fluid":[161],"medium":[167],"have":[168],"prominent":[169],"effects":[170],"on":[171],"behavior":[174],"flow.":[177]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-05T06:06:40.768181","created_date":"2025-10-10T00:00:00"}