{"id":"https://openalex.org/W2025108264","doi":"https://doi.org/10.1080/00207160802588247","title":"Finite-element simulations of miscible fingering problems","display_name":"Finite-element simulations of miscible fingering problems","publication_year":2009,"publication_date":"2009-09-08","ids":{"openalex":"https://openalex.org/W2025108264","doi":"https://doi.org/10.1080/00207160802588247","mag":"2025108264"},"language":"en","primary_location":{"id":"doi:10.1080/00207160802588247","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802588247","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5065860093","display_name":"Sandra M. C. Malta","orcid":"https://orcid.org/0000-0003-1272-6039"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Sandra M.C. Malta","raw_affiliation_strings":["LNCC  , Av. Get\u00falio Vargas, 333, Petr\u00f3polis, RJ,  Brazil","LNCC, Petropolis, RJ, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"LNCC  , Av. Get\u00falio Vargas, 333, Petr\u00f3polis, RJ,  Brazil","institution_ids":["https://openalex.org/I4210142352"]},{"raw_affiliation_string":"LNCC, Petropolis, RJ, Brazil#TAB#","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005259513","display_name":"Rigoberto Greg\u00f3rio Sanabria Castro","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132927","display_name":"Prefeitura Municipal de Campos dos Goytacazes","ror":"https://ror.org/02ywr7111","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210132927"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rigoberto G.S. Castro","raw_affiliation_strings":["Lab. de Ci\u00eancias Matem\u00e1ticas, UENF  , Campos dos Goytagazes, RJ, Brazil","Lab. de Ciencias Matematicas, UENF, Campos dos Goytagazes, Brazil, RJ#TAB#"],"affiliations":[{"raw_affiliation_string":"Lab. de Ci\u00eancias Matem\u00e1ticas, UENF  , Campos dos Goytagazes, RJ, Brazil","institution_ids":["https://openalex.org/I4210132927"]},{"raw_affiliation_string":"Lab. de Ciencias Matematicas, UENF, Campos dos Goytagazes, Brazil, RJ#TAB#","institution_ids":["https://openalex.org/I4210132927"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065860093"],"corresponding_institution_ids":["https://openalex.org/I4210142352"],"apc_list":null,"apc_paid":null,"fwci":0.3502,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62515818,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"87","issue":"9","first_page":"2053","last_page":"2063"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9980000257492065,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9980000257492065,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.996399998664856,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.991599977016449,"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/viscous-fingering","display_name":"Viscous fingering","score":0.8151808977127075},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7625269889831543},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6581000089645386},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.6396999955177307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5501582622528076},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5428954362869263},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5371305346488953},{"id":"https://openalex.org/keywords/petrov\u2013galerkin-method","display_name":"Petrov\u2013Galerkin method","score":0.5257397890090942},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.4956463575363159},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4670846462249756},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3872159421443939},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38538211584091187},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.2526196837425232},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2171182632446289},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1672443151473999},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.1303064525127411},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.1076623797416687}],"concepts":[{"id":"https://openalex.org/C2778737968","wikidata":"https://www.wikidata.org/wiki/Q3027832","display_name":"Viscous fingering","level":4,"score":0.8151808977127075},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7625269889831543},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6581000089645386},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.6396999955177307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5501582622528076},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5428954362869263},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5371305346488953},{"id":"https://openalex.org/C2778540877","wikidata":"https://www.wikidata.org/wiki/Q7179155","display_name":"Petrov\u2013Galerkin method","level":3,"score":0.5257397890090942},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4956463575363159},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4670846462249756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3872159421443939},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38538211584091187},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.2526196837425232},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2171182632446289},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1672443151473999},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1303064525127411},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.1076623797416687}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160802588247","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802588247","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W60707824","https://openalex.org/W204624611","https://openalex.org/W372225658","https://openalex.org/W1968204874","https://openalex.org/W1986626836","https://openalex.org/W1995991989","https://openalex.org/W2014228771","https://openalex.org/W2037368175","https://openalex.org/W2038005400","https://openalex.org/W2048002876","https://openalex.org/W2053821227","https://openalex.org/W2063012691","https://openalex.org/W2063403987","https://openalex.org/W2066184917","https://openalex.org/W2071018911","https://openalex.org/W2073897969"],"related_works":["https://openalex.org/W2806482781","https://openalex.org/W2349037881","https://openalex.org/W2126556702","https://openalex.org/W2055696851","https://openalex.org/W4288262055","https://openalex.org/W2967076701","https://openalex.org/W2990320605","https://openalex.org/W2883560644","https://openalex.org/W4321472236","https://openalex.org/W4389325935"],"abstract_inverted_index":{"We":[0],"present":[1],"finite-element":[2,79],"approaches":[3],"to":[4,154],"investigate":[5],"the":[6,16,24,33,37,42,58,82,121,127,130,139,147],"dynamical":[7],"evolution":[8],"of":[9,26,36,52,60,123,129],"two-dimensional":[10],"miscible":[11,157],"porous":[12],"media":[13],"flows":[14],"in":[15,120],"quarter":[17],"five-spot":[18],"arrangement.":[19],"This":[20],"takes":[21],"into":[22],"account":[23],"appearance":[25],"viscous":[27],"fingers":[28],"and":[29,40,62,65,92,135],"its":[30],"influence":[31,128],"on":[32,41,138],"breakthrough":[34],"time":[35],"injected":[38],"fluid":[39],"reservoir":[43,140],"sweep.":[44],"Then,":[45],"two":[46,77,131],"viscosity-concentration":[47],"relationships":[48],"for":[49],"larger":[50],"values":[51],"mobility":[53,133],"ratios":[54],"(the":[55],"rate":[56],"between":[57],"viscosities":[59],"resident":[61],"solvent":[63],"fluids)":[64],"P\u00e9clet":[66,136],"numbers":[67],"are":[68,114,142],"considered.":[69],"The":[70],"numerical":[71,111],"discretization":[72],"is":[73,103,150],"carried":[74],"out":[75],"by":[76],"stabilized":[78],"formulations,":[80],"with":[81,156],"concentration":[83],"calculated":[84],"via":[85,105],"a":[86,93,106,151],"fully":[87],"Galerkin/least-squares":[88],"space-time":[89],"(GLS/ST)":[90],"method":[91],"streamline":[94],"upwind":[95],"Petrov\u2013Galerkin":[96],"semi-discrete":[97],"approach.":[98],"Darcy's":[99],"equation":[100],"(velocity":[101],"approximation)":[102],"treated":[104],"precise":[107],"post-processing":[108],"technique.":[109],"Some":[110],"test":[112],"cases":[113],"exhibited":[115],"demonstrating":[116],"good":[117,152],"physical":[118],"behaviours":[119],"presence":[122],"finger":[124],"instabilities.":[125],"Besides,":[126],"parameters:":[132],"ratio":[134],"number":[137],"recovery":[141],"also":[143],"addressed":[144],"showing":[145],"that":[146],"GLS/ST":[148],"approach":[149],"alternative":[153],"deal":[155],"fingering":[158],"problems.":[159]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}