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1、ParallelLoadBalancingHeuristicsforRadiativeHeatTransferCalculations?KamalViswanath‡§,IvanaVeljkovic†,andPaulE.Plassmann‡§PresentingAuthor‡DepartmentofElectricalEngineeringVirginiaTech,Blacksburg,VA24060,USA†DepartmentofComputerScienceandEngineeringThePennsylv
2、aniaStateUniversity,UniversityPark,PA16802,USA,kamalv@vt.edu,veljkovi@cse.psu.edu,plassmann@vt.eduKeywords:RadiativeHeatTransfer,ParallelComputation,LoadBalancing,MonteCarloAbstract.ThecomputationofradiativeeffectsbythePhotonMonteCarlomethodiscomputationallyd
3、emanding,especiallywhencomplex,non-grayabsorptionmodelsareemployed.Tosolvesuchcomputationallyex-pensiveproblemswehavedevelopedaparallelsoftwareframeworkforthephotonMonteCarlomethodbasedonraytracingtocomputeradia-tiveheattransfereffects.Thecentralproblemwithob
4、tainingscalableperformanceforthismethodisthatwidelyvaryingphysicalpropertiesoverthecomputationaldomainresultinhighlyskewedprocessorworkassignment.Inthispaperwepresentcomputationalresultsthatdemon-stratetheeffectivenessofageometrybased,domainpartitioningheuris
5、-ticwithelementweightsforsolvingthisloadbalancingproblem.Wepresentcomputationalresultsthatcomparethisheuristictocompetingschemesforarepresentativecombustionproblem.1IntroductionRadiativeHeatTransfer(RHT)playsacentralroleinmanycombustionandengineer-ingapplicat
6、ions.Quiteoftenthough,thecomputationalcostofmodelingradiativeheattransfereffectsaccuratelycanbeextremelyhighduetoitshighlynonlinearandnon-localnature.Simulationofcombustionprocesses,nuclearreactions,andmanyotherhigh-temperaturephysicalphenomenaareinfluencedbyt
7、heaccuracyofthemodelsusedforradiativeeffectssincetheRHTratesaregenerallyproportionaltothefourthpowerofthetemperature.Omittingradiativeheattransferfromthephysicalmodelinsuchapplicationscanleadtomispredictionsofthecomputedtemperatureprofilewhichinturnaffectthest
8、abilityandaccuracyofthecalculationofothervariables[1]suchasspeciesconcentrationsinacombustionetc.ThenonlocalnatureofRHTcomesfromthefactthatthephotonsthatcarryradi-ationhavevariablemeanfre