{"id":"https://openalex.org/W2088842752","doi":"https://doi.org/10.1145/2503210.2503265","title":"Solving the compressible navier-stokes equations on up to 1.97 million cores and 4.1 trillion grid points","display_name":"Solving the compressible navier-stokes equations on up to 1.97 million cores and 4.1 trillion grid points","publication_year":2013,"publication_date":"2013-10-30","ids":{"openalex":"https://openalex.org/W2088842752","doi":"https://doi.org/10.1145/2503210.2503265","mag":"2088842752"},"language":"en","primary_location":{"id":"doi:10.1145/2503210.2503265","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2503210.2503265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis","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/A5014839664","display_name":"Iv\u00e1n Bermejo-Moreno","orcid":"https://orcid.org/0000-0002-8810-0000"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iv\u00e1n Bermejo-Moreno","raw_affiliation_strings":["Stanford University, Stanford, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016562054","display_name":"Julien Bodart","orcid":"https://orcid.org/0000-0002-7935-763X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julien Bodart","raw_affiliation_strings":["Stanford University, Stanford, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052059941","display_name":"Johan Larsson","orcid":"https://orcid.org/0000-0001-8387-1933"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johan Larsson","raw_affiliation_strings":["University of Maryland, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036065064","display_name":"Blaise M. Barney","orcid":null},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Blaise M. Barney","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, CA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103811963","display_name":"Joseph W. Nichols","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph W. Nichols","raw_affiliation_strings":["Stanford University, Stanford, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050473795","display_name":"S. Casey Jones","orcid":"https://orcid.org/0000-0001-9032-3468"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steve Jones","raw_affiliation_strings":["Stanford University, Stanford, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.3423,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.9801268,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987999796867371,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987999796867371,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9896000027656555,"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/solver","display_name":"Solver","score":0.7058964967727661},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.7012945413589478},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6958768367767334},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6847338080406189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6128053069114685},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6096485257148743},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5465441346168518},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5230037569999695},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5141413807868958},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.5077115297317505},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4333561062812805},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.42429226636886597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35621851682662964},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25225722789764404},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24916258454322815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2341599464416504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21556884050369263},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14409461617469788},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08656302094459534}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7058964967727661},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.7012945413589478},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6958768367767334},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6847338080406189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6128053069114685},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6096485257148743},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5465441346168518},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5230037569999695},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5141413807868958},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.5077115297317505},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4333561062812805},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.42429226636886597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35621851682662964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25225722789764404},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24916258454322815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2341599464416504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21556884050369263},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14409461617469788},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08656302094459534},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2503210.2503265","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2503210.2503265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338284","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1528581602","https://openalex.org/W1970484390","https://openalex.org/W1978861884","https://openalex.org/W1979796968","https://openalex.org/W1990436012","https://openalex.org/W2002555321","https://openalex.org/W2006799377","https://openalex.org/W2011149490","https://openalex.org/W2019582456","https://openalex.org/W2022364218","https://openalex.org/W2034297532","https://openalex.org/W2112487535","https://openalex.org/W2118071813","https://openalex.org/W2135028907","https://openalex.org/W2139352946","https://openalex.org/W2155155203","https://openalex.org/W2163817987","https://openalex.org/W2250057853","https://openalex.org/W3103952756","https://openalex.org/W4248073216"],"related_works":["https://openalex.org/W1604758548","https://openalex.org/W2804126825","https://openalex.org/W1549048322","https://openalex.org/W4367553810","https://openalex.org/W2104142636","https://openalex.org/W2015141752","https://openalex.org/W2731831065","https://openalex.org/W4283162424","https://openalex.org/W2271439649","https://openalex.org/W2011940952"],"abstract_inverted_index":{"We":[0,105],"present":[1],"weak":[2],"and":[3,36,59,68],"strong":[4],"scaling":[5,58],"studies":[6,61],"as":[7,9],"well":[8],"performance":[10,60,116],"analyses":[11],"of":[12,19,33,50,80,90,101,109,117],"the":[13,20,29,48,65,73,107,114,118],"Hybrid":[14],"code,":[15],"a":[16,78,98],"finite-difference":[17],"solver":[18],"compressible":[21],"Navier-Stokes":[22],"equations":[23],"on":[24,64,120],"structured":[25],"grids":[26],"used":[27,84],"for":[28,77],"direct":[30],"numerical":[31],"simulation":[32],"isotropic":[34],"turbulence":[35],"its":[37],"interaction":[38],"with":[39,53,97],"shock":[40],"waves.":[41],"Parallelization":[42],"is":[43],"achieved":[44],"through":[45],"MPI,":[46],"emphasizing":[47],"use":[49,108],"non-blocking":[51],"communication":[52],"concurrent":[54],"computation.":[55],"The":[56,87],"simulations,":[57],"were":[62],"done":[63],"Sequoia,":[66],"Vulcan":[67],"Vesta":[69],"Blue":[70],"Gene/Q":[71],"systems,":[72],"first":[74],"two":[75],"accounting":[76],"total":[79],"1,966,080":[81],"cores":[82],"when":[83],"in":[85],"combination.":[86],"maximum":[88],"number":[89],"grid":[91],"points":[92],"simulated":[93],"was":[94],"4.12":[95],"trillion,":[96],"memory":[99],"usage":[100],"approximately":[102],"1.6":[103],"PB.":[104],"discuss":[106],"hyperthreading,":[110],"which":[111],"significantly":[112],"improves":[113],"parallel":[115],"code":[119],"this":[121],"architecture.":[122]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
