Stable Fluids - Dynamic Graphics Project

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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 res1IntroductionOneofthemostintriguingpr oblemsincomputergraphicsisthesimulationo ffluid-like behavior.

these equations numerically. Which solver to use in practice de-pends largely on the problem at hand and on the computing power available. Most engineering tasks require that the simulation pro-vide accurate bounds on the physical quantities involved to answer questions related to safety, performance, etc. The visual appearance

  Fluid, Problem, Solver, Stable, The problem, Stable fluids