Animation of bubbles in liquid

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1、EUROGRAPHICS2003/P.BrunetandD.FellnerVolume22(2003),Number3(GuestEditors)AnimationofBubblesinLiquidJeong-MoHongandChang-HunKimDepartmentofComputerScience,KoreaUniversityAbstractWepresentanewfluidanimationtechniqueinwhichliquidandgasinteractwitheachother,usingtheexampleofbubblesrisinginwate

2、r.Incontrasttopreviousstudieswhichonlyfocusedononefluid,oursystemconsidersboththeliquidandthegassimultaneously.Inadditiontotheflowingmotion,theinteractionsbetweenliquidandgascausebuoyancy,surfacetension,deformationandmovementofthebubbles.Forthenaturalmanipulationoftopologicalchangesandthere

3、movalofthenumericaldiffusion,wecombinethevolume-of-fluidmethodandthefront-trackingmethoddevelopedinthefieldofcomputationalfluiddynamics.Ourminimum-stresssurfacetensionmethodenablesthiscomplementarycombination.Theinterfacesareconstructedusingthemarchingcubesalgorithm.Opticaleffectsarerendered

4、usingvertexshadertechniques.CategoriesandSubjectDescriptors(accordingtoACMCCS):I.3.7[ComputerGraphics]:Animation1.IntroductionLiquidsareveryattractivesubstances.Aswellashavingbeautifulopticalproperties,theirmovementsaremysterious,orasaneasternsayinggoes,"justobservingwatercanpro-videgoodm

5、editation."Manystudieshavebeendoneinanattempttoanimateandrenderliquidsinthecomputergraph-icsfield.Andthankstorecentimprovementsincomputingpowersandsimulationtechniques,morephenomenarelatedtoliquidshavebecomesubjectsofanimation.Inthispaper,wearetointroduceonemoresubjectpertainingtoliquidan-

6、imation,i.e.bubbles.Bubblesarepocketsofairenclosedbyliquid.Bubblesexisteveryplacewhereliquidandaircoexist.Asopposedtoairskimmingoverliquidsurfaces,bubblesaregovernedbytheinteractionsbetweenairandliquid.Therearemanyfactorstobeconsideredwhenattemptingtosimulatethede-formationandmovementofbu

7、bbles.Therearetwoflowstoconsider-i.e.thoseoccurringinsideandoutsideofthebub-blebodies.Differencesinspecificgravitybetweenthetwofluidsgeneratebuoyancyforces.SurfacetensionforcesareFigure1:RisingBubblesinLiquids.PhotoImage(up)andexertedattheinterfacesbetweenthetwofluids.R