{"id":"https://openalex.org/W127364069","doi":null,"title":"A Hybrid Parallel Algorithm for the 3-D Method of Characteristics Solution of the Boltzmann Transport Equation on High Performance Compute Clusters.","display_name":"A Hybrid Parallel Algorithm for the 3-D Method of Characteristics Solution of the Boltzmann Transport Equation on High Performance Compute Clusters.","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W127364069","mag":"127364069"},"language":"en","primary_location":{"id":"mag:127364069","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/100072","pdf_url":null,"source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Deep Blue (University of Michigan)","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/100072","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056851502","display_name":"Brendan M. Kochunas","orcid":"https://orcid.org/0000-0001-7109-9368","observed_orcids":["https://orcid.org/0000-0001-7109-9368"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Brendan Kochunas","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7109-9368","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5056851502"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0142,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.95086705,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.8740000128746033,"subfield":{"id":"https://openalex.org/subfields/2104","display_name":"Nuclear Energy and Engineering"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.8740000128746033,"subfield":{"id":"https://openalex.org/subfields/2104","display_name":"Nuclear Energy and Engineering"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.04230000078678131,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.02500000037252903,"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/method-of-characteristics","display_name":"method of characteristics","score":0.8740000128746033},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.9660000205039978},{"id":"https://openalex.org/keywords/neutron-transport","display_name":"neutron transport","score":0.972000002861023},{"id":"https://openalex.org/keywords/parallel-algorithms","display_name":"parallel algorithms","score":0.6669999957084656},{"id":"https://openalex.org/keywords/hybrid-parallelization","display_name":"hybrid parallelism","score":0.628000020980835},{"id":"https://openalex.org/keywords/performance-modeling","display_name":"performance modeling","score":0.8759999871253967},{"id":"https://openalex.org/keywords/coarse-mesh-finite-difference-acceleration","display_name":"coarse mesh finite difference acceleration","score":0.7870000004768372},{"id":"https://openalex.org/keywords/scalability","display_name":"scalability","score":0.48100000619888306},{"id":"https://openalex.org/keywords/high-performance-computing-clusters","display_name":"high-performance computing clusters","score":0.7680000066757202},{"id":"https://openalex.org/keywords/convergence-acceleration","display_name":"convergence acceleration","score":0.36899998784065247}],"concepts":[{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.6177337765693665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4880146086215973},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4839620888233185},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.43118488788604736},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3848828077316284},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3604171872138977},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34833335876464844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2687564194202423},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17709258198738098}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:127364069","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/100072","pdf_url":null,"source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Deep Blue (University of Michigan)","raw_type":null},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/100072","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/100072","pdf_url":"https://hdl.handle.net/2027.42/100072","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Thesis"}],"best_oa_location":{"id":"mag:127364069","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/100072","pdf_url":null,"source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Deep Blue (University of Michigan)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W127364069.pdf","grobid_xml":"https://content.openalex.org/works/W127364069.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W177645605","https://openalex.org/W981517633","https://openalex.org/W1506342804","https://openalex.org/W1510878897","https://openalex.org/W1536900165","https://openalex.org/W1543009434","https://openalex.org/W1544554505","https://openalex.org/W1549057003","https://openalex.org/W1563653928","https://openalex.org/W1572016165","https://openalex.org/W1575350781","https://openalex.org/W1583189038","https://openalex.org/W1600924218","https://openalex.org/W1868620764","https://openalex.org/W1965351873","https://openalex.org/W1975652631","https://openalex.org/W1978719848","https://openalex.org/W2005204395","https://openalex.org/W2006919401","https://openalex.org/W2035293163","https://openalex.org/W2038438855","https://openalex.org/W2049645795","https://openalex.org/W2053101498","https://openalex.org/W2053728251","https://openalex.org/W2056023161","https://openalex.org/W2061882089","https://openalex.org/W2083835675","https://openalex.org/W2095092117","https://openalex.org/W2116311849","https://openalex.org/W2131613942","https://openalex.org/W2134313443","https://openalex.org/W2144481694","https://openalex.org/W2153822094","https://openalex.org/W2167868137","https://openalex.org/W2189264204","https://openalex.org/W2208092736","https://openalex.org/W2244708728","https://openalex.org/W2252571260","https://openalex.org/W2261952567","https://openalex.org/W2263253171","https://openalex.org/W2272826332","https://openalex.org/W2273159568","https://openalex.org/W2323602002","https://openalex.org/W2337806324","https://openalex.org/W2470601120","https://openalex.org/W2491570335","https://openalex.org/W2553295715","https://openalex.org/W2605517516","https://openalex.org/W2929416387","https://openalex.org/W2987058979","https://openalex.org/W3107873839"],"related_works":["https://openalex.org/W7066540535","https://openalex.org/W4379383289","https://openalex.org/W3044329118","https://openalex.org/W2251532325","https://openalex.org/W2963656947","https://openalex.org/W3100195039","https://openalex.org/W4306944675","https://openalex.org/W275975031","https://openalex.org/W2297058914","https://openalex.org/W7147352297"],"abstract_inverted_index":{"The":[0,30,56,90,161,181,217,234,259],"focus":[1],"of":[2,9,20,24,32,44,52,58,80,132,142,194,226,236,239,248,298],"this":[3,289],"thesis":[4,290],"is":[5,37,61,72,92,102,113,122,173,184,199,219,256,266],"on":[6],"the":[7,17,25,33,42,45,50,66,70,105,110,119,130,143,153,165,170,197,207,211,224,227,237,240,246,249,281,285],"development":[8],"a":[10,78,115,140,230],"highly":[11],"scalable":[12],"parallel":[13,111,241,262],"algorithm":[14,71,91,112,228,244,265],"for":[15,77,118,129,163,191,202,229],"solving":[16],"3-D":[18,34,86,242,263],"method":[19,36,255],"characteristics":[21],"(MOC)":[22],"form":[23],"Boltzmann":[26],"neutron":[27,87],"transport":[28,88],"equation.":[29],"derivation":[31],"MOC":[35,106,243,264],"presented":[38,175],"first,":[39],"along":[40],"with":[41,189,280],"details":[43],"discretization":[46],"techniques,":[47],"that":[48,205,276],"utilize":[49],"concept":[51],"modular":[53],"ray":[54],"tracing.":[55],"implementation":[57,121],"these":[59],"equations":[60],"then":[62,65,174,257,267],"described,":[63],"and":[64,97,136,146,157,176,196,213,291,296],"approach":[67],"to":[68,104,186,210,222,269,272],"parallelizing":[69],"discussed.":[73],"Results":[74],"are":[75,294,301],"shown":[76,185],"range":[79],"benchmark":[81],"problems":[82],"typically":[83],"solved":[84],"by":[85,98,169],"codes.":[89],"parallelized":[93],"in":[94,288],"space,":[95],"angle,":[96],"characteristic":[99],"rays,":[100],"which":[101],"specific":[103],"solution":[107],"method.":[108],"Once":[109],"established,":[114],"performance":[116,171,182],"model":[117,125,172,183,198,218],"particular":[120],"derived.":[123],"This":[124],"contains":[126],"detailed":[127],"expressions":[128],"number":[131],"floating":[133],"point":[134],"operations":[135],"execution":[137],"time":[138,154],"as":[139,152],"function":[141],"problem":[144],"size":[145],"fundamental":[147],"computer":[148,212],"hardware":[149,166,215],"properties,":[150],"such":[151],"per":[155],"flop":[156],"cache":[158],"access":[159],"latency.":[160],"procedure":[162],"determining":[164],"coefficients":[167],"required":[168],"validated":[177],"using":[178],"experimental":[179],"results.":[180,283],"agree":[187],"well":[188],"experiment":[190],"both":[192],"types":[193],"execution,":[195],"therefore":[200],"used":[201,268],"subsequent":[203],"analyses":[204],"explore":[206],"algorithm's":[208],"sensitivities":[209],"network":[214],"characteristics.":[216],"also":[220],"analyzed":[221],"assess":[223],"scaling":[225],"quarter":[231],"core":[232],"PWR.":[233],"optimization":[235],"convergence":[238],"through":[245],"use":[247],"coarse":[250],"mesh":[251],"finite":[252],"difference":[253],"(CMFD)":[254],"developed.":[258],"CMFD":[260],"accelerated":[261],"compute":[270],"solutions":[271],"several":[273],"numerical":[274],"benchmarks,":[275],"show":[277],"good":[278],"agreement":[279],"reference":[282],"Finally,":[284],"research":[286,300],"performed":[287],"its":[292],"conclusions":[293],"summarized,":[295],"areas":[297],"future":[299],"suggested.":[302]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
