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1、DynamicSimulationoftheEntireCrystalGrowthProcess:Multi-ScaleAnalysisofMeltFlowTransientsV.Regnier,L.Wu,B.Delsaute,F.Bioul,N.VandenBogaert,F.DupretCESAME,UniversitécatholiquedeLouvain,E-mail:fd@mema.ucl.ac.beAbstractThispaperinvestigatesthetransientmeltflowevolutionduringacompl

2、eteCzochralskicrystalgrowthprocess.Twobasictimescalesareconsidered.Theshortscaleconcernsthebasictransientsassociatedwithflowoscillationsatdifferentprocessstages.Accurateunderstandingoftheflowmechanismsatthisscaleisrequiredtodevelopanaverageaxisymmetricflowmodelforcompletedynam

3、icsimulations.Thelongtimescaleisassociatedwiththetransientscausedbytheslowersystemevolutionoccurringduringthecompletegrowthprocess.Inordertofocusonthefundamentaleffectsgoverningtheflow,amodelproblemisconsideredwheretheliquidisplacedintoapossiblyrotatingcontainerwhileadiskofsma

4、llerdiameterrotatesonitstopsurface.Boththecontainerandthediskareisothermal.Severaltransienteffectsareinvestigatedincludingtheeffectofdiskradiusincreaseordecrease,andabruptchangesofdiskorcontainertemperatureorrotationrate.Introduction:dynamicmodelingofcrystalgrowthbymeansoftheF

5、EMAGsoftwareThereisincreasingdemandtodayforrobust,reliableanduser-friendlysoftwaretomodelbulkgrowthtechniquessuchastheCzochralski(Cz),LiquidEncapsulatedCzochralski(LEC),FloatingZone(FZ)andVerticalBridgman(VB)processes.Theaimistohelppredict,designandcontrolthegrowthprocesses,an

6、dtobetterunderstandthefactorsaffectingcrystalquality.However,thegrowthtechniquesaremoreandmorecomplex,andoptimizationcanbeachievedonlybyuseofsuitablenumericalmodelingthataccountsfortheseverelynon-linearphysicalphenomenainvolvedaswellasforthehighsystemthermalinertia.Theresultin

7、gproblemiscoupled,global,nonlinearanddynamic.Ontheotherhand,accuratepredictionofcrystalqualityrequiresbothappropriatemodelingofthegoverningphysics,andhighlyaccuratedynamicnumericalmethodsforcomputingtheevolutionofthesolid-liquidinterfaceshapeandthetemperaturefieldgradient5init

8、svicinity.TheFEMAGsimulationsoftwaredevelopedintheCESAMEcente