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1、THERMALCONVECTIONINTURBULENTFLOW,IMAGESYNTHESISANDHEATANIMATIONDidierArquès,EricFelgines,SylvainMichelin,KarineZampieriEquipedesynthèsed'images,InstitutGaspardMongeUniversitédeMarnelaVallée-5,boulevardDescartes-ChampssurMarne77454MarnelaValléeCEDEX2France{arques,fe
2、lgines,michelin}@univ-mlv.fr,K.Zampieri@univ-mulhouse.frABSTRACTThispaperfocusesonrealisticray-tracingrenderingofsceneswhichintegrateparticipatingmedia.Weworkonthetemperaturesensitiveindexofrefraction,inordertodeflecttherays'pathandthusvisualizeascenethroughheat.We
3、canalsovisualizethree-dimensionalconvectivemotions,undertheshapeoffumes.Inthisrespect,wesuggesttosolvetheNS(Navier-Stokes)equationsthroughasimpleapproach,whichoffersbettersteadinessthanclassicalmethods,andwhichiseasytoimplement.Weareconsideringthethree-dimensionala
4、ndturbulentcaseofthissystem,combinedwiththeenergyequation,inordertoobtainincompressiblefluidorgaseousrealisticparticipatingmedia.Keywords:ray-tracing,numericalsimulation,heattransferconvection.1.INTRODUCTIONahotnewtonianfluid.HereferredtoFrancisH.Harlow’spaper[3]on
5、fluids’dynamics(1965).For15years,researchinthefieldofimagesynthesisSection2ofthispaperdealswiththefundamentalhasbeendirectingtowardsmethodsbasedonprinciplesofconvectionheattransferthroughthephysicalmodels.Numericalsimulationhasbeenrelatedsystemofconservationequatio
6、ns.Thethirdreallyincreasingandradiosity[1]wasintroducedinsectionexpoundsoneofthemostclassicalmethods1984.Whenconsideringthedifferentexistingmodesforresolvingthissystem,andthendiscussesitsofheattransfer,thiscorrespondstoradiation.limits,whilebringingintheproblemstha
7、tareHowever,instudyingheattransfers,wegetusedtoinherenttotheobtainingofaturbulentsolutionofdistinguishaparticularmodecalledconvection,theseequations.Insection4,aslightsupplementtowhichitselfislinkedtoaspecificphysicalprocess.Inthismethodshallimprovesteadiness,espec
8、iallyinthefieldofimagesynthesis,alotofstudiessuggestthecaseofimportantvelocityvariations.Thelastmethodsbuiltuponstatisticalequations,inordertosec
