{"id":"https://openalex.org/W2952788476","doi":"https://doi.org/10.1145/3324989.3325714","title":"A Discontinuous Galerkin Fast Spectral Method for Multi-Species Full Boltzmann on Streaming Multi-Processors","display_name":"A Discontinuous Galerkin Fast Spectral Method for Multi-Species Full Boltzmann on Streaming Multi-Processors","publication_year":2019,"publication_date":"2019-06-04","ids":{"openalex":"https://openalex.org/W2952788476","doi":"https://doi.org/10.1145/3324989.3325714","mag":"2952788476"},"language":"en","primary_location":{"id":"doi:10.1145/3324989.3325714","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3324989.3325714","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Platform for Advanced Scientific Computing Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.04670","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Shashank Jaiswal","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shashank Jaiswal","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana, U.S.A"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana, U.S.A","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jingwei Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jingwei Hu","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana, U.S.A"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana, U.S.A","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Julien K. Brillon","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julien K. Brillon","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana, U.S.A"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana, U.S.A","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":null,"display_name":"Alina A. Alexeenko","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alina A. Alexeenko","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana, U.S.A"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana, U.S.A","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":0.6648,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6465253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9988999962806702,"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/T10192","display_name":"Catalytic Processes in Materials Science","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.8233000040054321},{"id":"https://openalex.org/keywords/direct-simulation-monte-carlo","display_name":"Direct simulation Monte Carlo","score":0.6636999845504761},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.656000018119812},{"id":"https://openalex.org/keywords/lattice-boltzmann-methods","display_name":"Lattice Boltzmann methods","score":0.5587999820709229},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5199999809265137},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4544000029563904},{"id":"https://openalex.org/keywords/boltzmanns-entropy-formula","display_name":"Boltzmann's entropy formula","score":0.3962000012397766}],"concepts":[{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.8233000040054321},{"id":"https://openalex.org/C164916747","wikidata":"https://www.wikidata.org/wiki/Q4382753","display_name":"Direct simulation Monte Carlo","level":4,"score":0.6636999845504761},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.656000018119812},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.5587999820709229},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5199999809265137},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5133000016212463},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4544000029563904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4180000126361847},{"id":"https://openalex.org/C33932047","wikidata":"https://www.wikidata.org/wiki/Q375553","display_name":"Boltzmann's entropy formula","level":3,"score":0.3962000012397766},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.36250001192092896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3553999960422516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35260000824928284},{"id":"https://openalex.org/C179428855","wikidata":"https://www.wikidata.org/wiki/Q1069216","display_name":"Microscale chemistry","level":2,"score":0.31779998540878296},{"id":"https://openalex.org/C192576344","wikidata":"https://www.wikidata.org/wiki/Q194706","display_name":"Boltzmann machine","level":3,"score":0.30329999327659607},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2865000069141388},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C107665910","wikidata":"https://www.wikidata.org/wiki/Q4940270","display_name":"Boltzmann relation","level":5,"score":0.27079999446868896}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3324989.3325714","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3324989.3325714","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Platform for Advanced Scientific Computing Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1903.04670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.04670","pdf_url":"https://arxiv.org/pdf/1903.04670","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.04670","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.04670","pdf_url":"https://arxiv.org/pdf/1903.04670","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1980222575","https://openalex.org/W1994057842","https://openalex.org/W2032191834","https://openalex.org/W2051358691","https://openalex.org/W2064263962","https://openalex.org/W2068207711","https://openalex.org/W2078498923","https://openalex.org/W2086700458","https://openalex.org/W2120919211","https://openalex.org/W2148897203","https://openalex.org/W2155241578","https://openalex.org/W2893649682","https://openalex.org/W2963446664","https://openalex.org/W4233250322","https://openalex.org/W6819931091"],"related_works":[],"abstract_inverted_index":{"When":[0],"the":[1,16,25,29,34,48,62,74,79,83,97,118,135],"molecules":[2],"of":[3,36,52,65,81,85,96,124,161],"a":[4,37,69],"gaseous":[5],"system":[6],"are":[7],"far":[8],"apart,":[9],"say":[10],"in":[11,122],"microscale":[12],"gas":[13],"flows":[14],"where":[15],"surface":[17,26],"to":[18,33],"volume":[19],"ratio":[20],"is":[21,55,89,163],"high":[22],"and":[23,78],"hence":[24],"forces":[27],"dominant,":[28],"molecule-surface":[30],"interactions":[31],"lead":[32],"formation":[35],"local":[38],"thermodynamically":[39],"non-equilibrium":[40],"region":[41],"extending":[42],"few":[43,125],"mean":[44],"free":[45],"paths":[46],"from":[47],"surface.":[49],"The":[50,114],"dynamics":[51,84],"such":[53,151],"systems":[54],"accurately":[56],"described":[57],"by":[58],"Boltzmann":[59,66,87,110,120,146],"equation.":[60,147],"However,":[61],"multi-dimensional":[63],"nature":[64],"equation":[67,88,121],"presents":[68],"huge":[70],"computational":[71],"challenge.":[72],"With":[73],"recent":[75],"mathematical":[76],"developments":[77],"advent":[80],"petascale,":[82],"full":[86,109],"now":[90],"tractable.":[91],"We":[92],"present":[93,115,136],"an":[94],"implementation":[95,116],"recently":[98],"introduced":[99],"multi-species":[100],"discontinuous":[101],"Galerkin":[102],"fast":[103],"spectral":[104],"(DGFS)":[105],"method":[106],"for":[107,144],"solving":[108,145],"on":[111,165],"streaming":[112],"multi-processors.":[113],"solves":[117],"inhomogeneous":[119],"span":[123],"minutes,":[126],"making":[127],"it":[128],"at":[129],"least":[130],"two":[131],"order-of-magnitude":[132],"faster":[133],"than":[134],"state-of-art":[137],"stochastic":[138],"method---direct":[139],"simulation":[140],"Monte":[141],"Carlo---widely":[142],"used":[143],"Various":[148],"performance":[149],"metrics,":[150],"as":[152],"weak/strong":[153],"scaling":[154],"have":[155],"been":[156],"presented.":[157],"A":[158],"parallel":[159],"efficiency":[160],"0.96--0.99":[162],"demonstrated":[164],"36":[166],"Nvidia":[167],"Tesla-P100":[168],"GPUs.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-06-27T00:00:00"}