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1、ACellDynamicalSystemModelforSimulationofContinuumDynamicsofTurbulentFluidFlowsA.M.SelvamandS.FadnavisEmail:amselvam@gmail.comWebsite:http://www.geocities.com/amselvamTrendsinContinuumPhysics,TRECOP’98;ProceedingsoftheInternationalSymposiumonTrendsinC
2、ontinuumPhysics,Poznan,Poland,August17-20,1998.EditedbyBogdanT.Maruszewski,WolfgangMuschik,andAndrzejRadowicz.Singapore,WorldScientific,1999,334(12).1.INTRODUCTIONAtmosphericflowsexhibitlong-rangespatiotemporalcorrelationsmanifestedasthefractalgeomet
3、rytotheglobalcloudcoverpatternconcomitantwithinversepower-lawformforpowerspectraoftemporalfluctuationsofallscalesrangingfromturbulence(millimeters-seconds)toclimate(thousandsofkilometers-years)(Tessieret.al.,1996)Long-rangespatiotemporalcorrelationsa
4、reubiquitoustodynamicalsystemsinnatureandareidentifiedassignaturesofself-organizedcriticality(Baket.al.,1988)Standardmodelsforturbulentfluidflowsinmeteorologicaltheorycannotexplainsatisfactorilytheobservedmultifractal(space-time)structuresinatmospher
5、icflows.Numericalmodelsforsimulationandpredictionofatmosphericflowsaresubjecttodeterministicchaosandgiveunrealisticsolutions.Deterministicchaosisadirectconsequenceofround-offerrorgrowthiniterativecomputations.Round-offerroroffiniteprecisioncomputatio
6、nsdoublesonanaverageateachstepofiterativecomputations(MarySelvam,1993).Round-offerrorwillpropagatetothemainstreamcomputationandgiveunrealisticsolutionsinnumericalweatherprediction(NWP)andclimatemodelswhichincorporatethousandsofiterativecomputationsin
7、long-termnumericalintegrationschemes.Arecentlydevelopednon-deterministiccelldynamicalsystemmodelforatmosphericflows(MarySelvam,1990;MarySelvamet.al.,1996)predictstheobservedself-organizedcriticalityasintrinsictoquantumlikemechanicsgoverningflowdynami
8、cs.Further,thefractalspace-timestructuretothestringlikeatmosphericflowtrajectoryisresolvedintoacontinuumofeddies.TheeddycirculationsobeyKepler’sthirdlawofplanetarymotionandthereforeeddyinertialmassesobeyNewton’sinversesquarelawofgravitationonallscale
