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1、晶体生长数值模拟FrançoisDupret1,2,RomanRolinsky2,BrieucDelsaute2,RajeshRamaya2,NathalieVandenBogaert21UniversitécatholiquedeLouvain,Louvain-la-Neuve,Belgium2FEMAGSoftS.A.company,Louvain-la-Neuve,BelgiumFEMAGSoft©2013Howtoimprovethegrowthprocessintermsof:crystalquality?processyield?energyconsumption?pr
2、oductionrate?IntroductionMaindifficulties:FEMAGSoft©2013Multi-physics:heatandmasstransportinthemeltandthegas,turbulence,radiationtransfer,etc.,allinteractandstronglyaffectspeciesincorporationanddefectformationinthecrystalMultiplespacescales:sharpdiffusive,viscous,radiativeandthermalboundarylay
3、ersarepresentinthemeltandthegas,togetherwithcomplexdefectboundarylayersinthecrystalMultipletimescales:typicallythegrowthprocessisveryslowwhilethemeltflowisgovernedbymuchshortertimeconstantsIntroduction(cont’d)FEMAGSoft©2013Solvingtheseproblemsrequires…Toresorttoappropriateandup-to-datenumerica
4、lsimulationtechniquestocoupleandsolvethesemodels→quasi-steadyanddynamicmodelsTodevelopasoundphysicalmodelforeachseparateeffect→globalandtime-dependentmodelingofheattransfer,turbulencemodeling,defectmodeling,…Introduction(cont’d)FEMAGSoft©2013PrincipalobjectivehasbeentocompletetheplatformFEMAG-
5、2→FEMAG-3softwaregenerationtransitiontakingplacefrom2008-2009GeneralobjectiveofFEMAGSoft→stronglyimprovedplatformintermsofcomputationtime,memory,etc.Introduction(cont’d)FEMAGSoft©2013b)Time-dependentmodeling:useofvarioussimulationmodes(ex:quasi-steady,quasi-dynamic,inverseordirectdynamicmodels
6、inCzgrowth)c)FEMdiscretization:useof2D,Spectral3D,Cartesian3D,…models(highgeometricalflexibility,simpleassemblingtechnique)a)Globalmodeling:subdivisionofthefurnaceinto“macro-elements”(solidorliquidconstituents,radiationenclosures,“cement”elements...)d)Geometricalmodeling:toaccuratelyhandlestro
7、nglydeformingbodiesandinterfaceandwell-capturealltheboundarylayerse)Solutiontechnique:coupledNewton-RaphsoniterationsbyuseofahighlyeffectivelinearsolverIntroduction(cont’d)FEMAGsoftwaredevelopmentstrategy1.NumericalstrategyFEMAGSoft©201
