{"id":"https://openalex.org/W2140755546","doi":"https://doi.org/10.1109/cahpc.2003.1250333","title":"Finite difference simulations of the Navier-Stokes equations using parallel distributed computing","display_name":"Finite difference simulations of the Navier-Stokes equations using parallel distributed computing","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2140755546","doi":"https://doi.org/10.1109/cahpc.2003.1250333","mag":"2140755546"},"language":"en","primary_location":{"id":"doi:10.1109/cahpc.2003.1250333","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cahpc.2003.1250333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 15th Symposium on Computer Architecture and High Performance Computing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5072201709","display_name":"J.P. De Angeli","orcid":null},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J.P. De Angeli","raw_affiliation_strings":["Departamento de Inform\u00e1tica, UFES, Vitoria, Espirito Santo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, UFES, Vitoria, Espirito Santo, Brazil","institution_ids":["https://openalex.org/I51235708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052188814","display_name":"Andrea M. P. Valli","orcid":"https://orcid.org/0000-0003-2575-2578"},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A.M.P. Valli","raw_affiliation_strings":["Departamento de Inform\u00e1tica, UFES, Vitoria, Espirito Santo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, UFES, Vitoria, Espirito Santo, Brazil","institution_ids":["https://openalex.org/I51235708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051675748","display_name":"Neyval Costa Reis","orcid":"https://orcid.org/0000-0002-6159-4063"},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"N.C. Reis","raw_affiliation_strings":["Departamento de Engenharia Ambiental, UFES, Vitoria, Espirito Santo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia Ambiental, UFES, Vitoria, Espirito Santo, Brazil","institution_ids":["https://openalex.org/I51235708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005735333","display_name":"Alberto F. De Souza","orcid":"https://orcid.org/0000-0003-1561-8447"},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A.F. De Souza","raw_affiliation_strings":["Departamento de Inform\u00e1tric, UFES, Vitoria, Espirito Santo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tric, UFES, Vitoria, Espirito Santo, Brazil","institution_ids":["https://openalex.org/I51235708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I51235708"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"149","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9919000267982483,"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/parallel-computing","display_name":"Parallel computing","score":0.8086395859718323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7991999983787537},{"id":"https://openalex.org/keywords/software-portability","display_name":"Software portability","score":0.7460611462593079},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7295374870300293},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.621010422706604},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5821129083633423},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5811900496482849},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5567528605461121},{"id":"https://openalex.org/keywords/message-passing-interface","display_name":"Message Passing Interface","score":0.5446912050247192},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.49903368949890137},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.48592057824134827},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.47305431962013245},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4694000780582428},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4527972638607025},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.4423461854457855},{"id":"https://openalex.org/keywords/workstation","display_name":"Workstation","score":0.43994495272636414},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.4206576943397522},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.35627520084381104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.256160169839859},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.2424406111240387},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2102595865726471}],"concepts":[{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.8086395859718323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7991999983787537},{"id":"https://openalex.org/C63000827","wikidata":"https://www.wikidata.org/wiki/Q3080428","display_name":"Software portability","level":2,"score":0.7460611462593079},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7295374870300293},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.621010422706604},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5821129083633423},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5811900496482849},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5567528605461121},{"id":"https://openalex.org/C166782233","wikidata":"https://www.wikidata.org/wiki/Q127879","display_name":"Message Passing Interface","level":3,"score":0.5446912050247192},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.49903368949890137},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.48592057824134827},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.47305431962013245},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4694000780582428},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4527972638607025},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.4423461854457855},{"id":"https://openalex.org/C67953723","wikidata":"https://www.wikidata.org/wiki/Q192525","display_name":"Workstation","level":2,"score":0.43994495272636414},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.4206576943397522},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.35627520084381104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.256160169839859},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.2424406111240387},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2102595865726471},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cahpc.2003.1250333","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cahpc.2003.1250333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 15th Symposium on Computer Architecture and High Performance Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.71.6727","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.6727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.ufes.br/~alberto/papers/sbac_pad2003.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W244170502","https://openalex.org/W1583558677","https://openalex.org/W1601755832","https://openalex.org/W1966158133","https://openalex.org/W1975671637","https://openalex.org/W4246051805","https://openalex.org/W6634797835","https://openalex.org/W6635827331"],"related_works":["https://openalex.org/W2366325093","https://openalex.org/W2133825528","https://openalex.org/W1998761481","https://openalex.org/W49536250","https://openalex.org/W2498758832","https://openalex.org/W2154020360","https://openalex.org/W2126790453","https://openalex.org/W184749201","https://openalex.org/W98999783","https://openalex.org/W2556310971"],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,15,36,53,65,79,120,130,137,171,182],"implementation":[3,72],"of":[4,30,89,127,145,160,173,176],"a":[5,57,93],"numerical":[6],"algorithm":[7,34],"for":[8,21,28,35,43,49,192],"simulating":[9],"incompressible":[10],"fluid":[11],"flows":[12],"based":[13,74],"on":[14,75,106,119],"finite":[16],"difference":[17],"method":[18],"and":[19,45,122,165,190],"designed":[20],"parallel":[22,71,111,156,183],"computing":[23,151],"platforms":[24,152],"with":[25],"distributed-memory,":[26],"particularly":[27],"clusters":[29,159],"workstations.":[31,161],"The":[32,70,110,125,143,162,178],"solution":[33,118],"Navier-Stokes":[37],"equations":[38],"utilizes":[39],"an":[40,46],"explicit":[41],"scheme":[42,48],"pressure":[44,67],"implicit":[47],"velocities,":[50],"i.":[51],"e.,":[52],"velocity":[54],"field":[55],"at":[56],"new":[58],"time":[59,164],"step":[60],"can":[61,185],"be":[62],"computed":[63],"once":[64],"corresponding":[66],"is":[68,73,83,134],"known.":[69],"domain":[76,82],"decomposition,":[77],"where":[78],"original":[80],"calculation":[81],"decomposed":[84],"into":[85],"several":[86],"blocks,":[87],"each":[88,104],"which":[90],"given":[91],"to":[92,158],"separate":[94],"processing":[95],"node.":[96],"All":[97],"nodes":[98],"then":[99],"execute":[100],"computations":[101,112],"in":[102],"parallel,":[103],"node":[105],"its":[107],"associated":[108],"subdomain.":[109],"include":[113],"initialization,":[114],"coefficient":[115],"generation,":[116],"linear":[117],"subdomain,":[121],"inter-node":[123],"communication.":[124],"exchange":[126],"information":[128],"across":[129,149],"subdomains,":[131],"or":[132],"processors,":[133],"achieved":[135],"using":[136],"message":[138],"passing":[139],"interface":[140],"standard,":[141],"MPI.":[142],"use":[144],"MPI":[146],"ensures":[147],"portability":[148],"different":[150,174],"ranging":[153],"from":[154],"massively":[155],"machines":[157],"execution":[163],"speed-up":[166],"are":[167],"evaluated":[168],"through":[169],"comparing":[170],"performance":[172],"numbers":[175],"processors.":[177],"results":[179],"indicate":[180],"that":[181],"code":[184],"significantly":[186],"improve":[187],"prediction":[188],"capability":[189],"efficiency":[191],"large-scale":[193],"simulations.":[194]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}