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Stable Fluids - Dynamic Graphics Project

Stable FluidsJosStam AliaswavefrontAbstractBuildinganimationt oolsforfluid-like motionsis animportantandchallengingproblemwithmany ,unlike key frameorpro-ceduralbasedtechniques,permit ananimatortoalmosteffortlesslycreateinte resting,swirlingfluid-like , , it wasbelievedthatphysicalfluidmodelswereto oexpensive to allow thefactthatpreviousmodelsusedunstablesch emestosolve thephys-icalequationsgoverninga , forthefirsttime,weproposeanunconditional lystablemodelwhichstillproducescomplex fluid -like ,ourmethodis largertimestepsandthereforeachieve have usedourmodelinconjuctionwithadvectingsol idtexturestocreatemanyfluid-like [ComputerGraphics]:Three-DimensionalGrap hicsandRealism AnimationKeywords:animationoffluids,Navi er-Stokes,stablesolvers,im-plicitellipti cPDEsolvers,interactive modeling,gaseousphenom-ena,advectedtextu res1 IntroductionOneofthemostintriguingproble msincomputergraphicsisthesimulationofflu id-like behavior.

cesses, such as erosion. The modeling and simulation of fluids is, of course, also of prime importance in most scientific disciplines and in engineering. Fluid mechanics is used as the standard math-ematical framework on which these simulations are based. There is a consensus among scientists that the Navier-Stokes equations

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