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1、THERMALCONVECTIONINTURBULENTFLOW,IMAGESYNTHESISANDHEATANIMATIONDidierArquès,EricFelgines,SylvainMichelin,KarineZampieriEquipedesynthèsed'images,InstitutGaspardMongeUniversitédeMarnelaVallée-5,boulevardDescartes-ChampssurMarne77454MarnelaValléeCEDEX2France{arques,felgines,michelin}@univ-mlv
2、.fr,K.Zampieri@univ-mulhouse.frABSTRACTThispaperfocusesonrealisticray-tracingrenderingofsceneswhichintegrateparticipatingmedia.Weworkonthetemperaturesensitiveindexofrefraction,inordertodeflecttherays'pathandthusvisualizeascenethroughheat.Wecanalsovisualizethree-dimensionalconvectivemotions
3、,undertheshapeoffumes.Inthisrespect,wesuggesttosolvetheNS(Navier-Stokes)equationsthroughasimpleapproach,whichoffersbettersteadinessthanclassicalmethods,andwhichiseasytoimplement.Weareconsideringthethree-dimensionalandturbulentcaseofthissystem,combinedwiththeenergyequation,inordertoobtainin
4、compressiblefluidorgaseousrealisticparticipatingmedia.Keywords:ray-tracing,numericalsimulation,heattransferconvection.1.INTRODUCTIONahotnewtonianfluid.HereferredtoFrancisH.Harlow’spaper[3]onfluids’dynamics(1965).For15years,researchinthefieldofimagesynthesisSection2ofthispaperdealswiththefu
5、ndamentalhasbeendirectingtowardsmethodsbasedonprinciplesofconvectionheattransferthroughthephysicalmodels.Numericalsimulationhasbeenrelatedsystemofconservationequations.Thethirdreallyincreasingandradiosity[1]wasintroducedinsectionexpoundsoneofthemostclassicalmethods1984.Whenconsideringthedi
6、fferentexistingmodesforresolvingthissystem,andthendiscussesitsofheattransfer,thiscorrespondstoradiation.limits,whilebringingintheproblemsthatareHowever,instudyingheattransfers,wegetusedtoinherenttotheobtainingofaturbulentsolutionofdistinguishaparticularmodecalledconvection,theseequations.I
7、nsection4,aslightsupplementtowhichitselfislinkedtoaspecificphysicalprocess.Inthismethodshallimprovesteadiness,especiallyinthefieldofimagesynthesis,alotofstudiessuggestthecaseofimportantvelocityvariations.Thelastmethodsbuiltuponstatisticalequations,inordertosec