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Part of the book series: NATO ASI Series ((ASIC,volume 192))

Abstract

We raise the question as to whether the atmosphere should be treated as deterministic or stochastic, for the purpose of investigating atmospheric dynamics most effectively. Because the atmospheric equations are nonlinear, all but special solutions must be sought numerically. The range of scales which numerical models can handle explicitly is limited, and the influence of smaller scales must be introduced through parameterization. The most realistic parameterization contain stochastic terms in addition to the deterministic ones. However, since realistic atmospheric models ordinarily possess aperiodic general solutions with or without their stochastic terms, they tend to yield similar results in either event. The choice between a deterministic and a stochastic formulation of the equations can therefore be dictated by convenience.

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References

  1. Wiener, N., 1956: I am a Mathematician. New York, Doubleday, 380 pp (see p. 259).

    Google Scholar 

  2. Haltiner, G., 1971: Numerical Weather Prediction. New York, Wiley, 317 pp.

    Google Scholar 

  3. Prigogine, I. and Stengers, I., 1983: Order out of Chaos. New York Bantam, 349 pp.

    Google Scholar 

  4. Guckenheimer, J. and Holmes, P., 1983: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York, Springer-Verlag, 453 pp.

    Google Scholar 

  5. Lorenz, E. N., 1963: ‘Deterministic nonperiodic flow’ J. Atmos. Sci., 20 , 130–141.

    Article  Google Scholar 

  6. Ruelle, D., 1981: ‘Small random perturbations of dynamical systems and the definition of attractors’ Comm. Math. Phys., 82 , 137–151.

    Article  Google Scholar 

  7. Ruelle, D. and Takens, F., 1971: ‘On the nature of turbulence’ Comm. Math. Phys., 20 ,167–192; 23 , 343–344.

    Article  Google Scholar 

  8. Lorenz, E. N., 1962: ‘The statistical prediction of solutions of dynamic equations’ Proc. Internat. Sympos. Numerical Weather Prediction, Meteorol. Soc. Japan, 629–635.

    Google Scholar 

  9. Namias, J., 1950: ‘The index cycle and its role in the general circulation’ J. Meteorol., 7 , 130–139.

    Article  Google Scholar 

  10. Lorenz, E. N., 1984: ‘Irregularity: a fundamental property of the atmosphere’ Tellus, 36A, 98–110.

    Article  Google Scholar 

  11. Lorenz, E. N., 1982: ‘Atmospheric predictability experiments with a large numerical model’ Tellus, 34 , 505–513.

    Article  Google Scholar 

  12. Smagorinsky, J., 1969: ‘Problems and promises of deterministic extended range forecasting’ Bull. Amer. Meteorol. Soc., 50 , 286–311.

    Google Scholar 

  13. Lorenz, E. N., 1969: ‘Atmospheric predictability as revealed by naturally occurring analogues’ J. Atmos. Sci., 26 , 636–646.

    Article  Google Scholar 

  14. Lorenz, E. N., 1969: ‘The predictability of a flow which possesses many scales of motion’ Tellus, 21 , 289–307.

    Article  Google Scholar 

  15. Leith, C. E., 1971: ‘Atmospheric predictability and two-dimensional turbulence’ J. Atmos. Sci., 28 , 148–161.

    Article  Google Scholar 

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Lorenz, E.N. (1987). Deterministic and Stochastic Aspects of Atmospheric Dynamics. In: Nicolis, C., Nicolis, G. (eds) Irreversible Phenomena and Dynamical Systems Analysis in Geosciences. NATO ASI Series, vol 192. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4778-8_9

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  • DOI: https://doi.org/10.1007/978-94-009-4778-8_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8620-2

  • Online ISBN: 978-94-009-4778-8

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