Numerical Simulation of Weather

  • Harwood G. Kolsky


Even in this age of scientific superlatives it is hard to find a field more far-reaching and with more interesting problems and more difficulties than that of numerical weather prediction. The associated atmosphere physics behind it is worldwide. A large number of physical disciplines interact with each other in a most complex way. Fluid dynamics, which describes the major motions of the atmosphere and oceans, is considered classical physics. However, the energy sources and frictional forces that must be included introduce quantum mechanics and diffusion theory as well as numerical analysis.


Difference Scheme General Circulation Model Numerical Weather Prediction Mesh Point Numerical Weather 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    L. F. Richardson, Weather Prediction by Numerical Process, Cambridge University Press, London, 1922 (reprinted by Dover).Google Scholar
  2. 2.
    F. Alt, ed., Advances in Computers, Academic Press, New York, 1960, Vol. 1, p. 43 ff.Google Scholar
  3. 3.
    A. Arakawa, “Advanced Topics in Numerical Weather Prediction,” Lecture Course Notes prepared by W. E. Langlois, University of California at Los Angeles, 1965.Google Scholar
  4. 4.
    P. D. Thompson, Numerical Weather Analysis and Prediction, The Macmillan Company, New York, 1961.Google Scholar
  5. 5.
    National Academy of Sciences, “Weather and Climate Modification—Problems and Prospects,” report by Panel on Weather and Climate Modification, Publ. 1350, Washington, D.C., 1966.Google Scholar
  6. 6.
    J. Smagorinsky, S. Manabe, and J. L. Holloway, Numerical results from a nine-level general circulation model of the atmosphere, Monthly Weather Rev. 93 (12), 727–768 (December 1965);CrossRefGoogle Scholar
  7. 6a.
    J. L. Holloway and S. Manabe, Simulation of climate by a global general circulation model, Monthly Weather Rev. 99 (5), 335 (1971).CrossRefGoogle Scholar
  8. 7.
    R. M. Goody, Atmospheric Radiation, Oxford Clarendon Press, London, 1964.Google Scholar
  9. 8.
    G. S. Benton, “Interaction Between the Atmosphere and the Oceans,” Publ. 983, National Academy of Sciences, National Research Council, Washington, D.C., 1962.Google Scholar
  10. 9.
    T. Laevastu, “Synoptic Scale Heat Exchange and Its Relations to Weather,” Fleet Numerical Weather Facility, Tech. Note 7, 1965.Google Scholar
  11. 10.
    G. P. Cressman, Numerical weather prediction in daily use, Science 148, 319–327 (1965).CrossRefGoogle Scholar
  12. 11.
    N. A. Phillips, The Atmosphere and the Sea in Motion, Oxford Press, London, 1959, pp. 501–504.Google Scholar
  13. 12.
    A. Arakawa, Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow, J. Comp. Phys. 1, 119–143 (1966).CrossRefGoogle Scholar
  14. 13.
    D. Lilly, On the computational stability of numerical solutions of time-dependent nonlinear geophysical fluid dynamics problems, Monthly Weather Rev. 93 (1), 11–26 (1965).CrossRefGoogle Scholar
  15. 14.
    P. D. Lax and B. Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13, 217–237 (1960).CrossRefGoogle Scholar
  16. 15.
    C. Leith, “Numerical Simulation of the Earth’s Atmosphere,” Lawrence Radiation Labora:ory, UCRL7986–T, 1964.Google Scholar
  17. 16.
    J. G. Charney and N. A. Phillips, Numerical integration of the quasi-geostrophic equations for barotropic and simple baroclinic flows, J. Meteorol. 10 (2), 71–99 (April 1953).CrossRefGoogle Scholar
  18. 17.
    F. G. Shuman, “Numerical Methods in Weather Prediction,” Montly Weather Review 85, 357–361, also 229–234 (1957);CrossRefGoogle Scholar
  19. 17a.
    F. G. Shuman and J. B. Hovermale, An operational six-layer primitive equation model, J. Appl. Meteorol 7 (4), 525–547 (August 1968).CrossRefGoogle Scholar
  20. 18.
    G. P. Cressman and H. A. Bedient, An experiment in automatic data processing, Monthly Weather Rev. 85, 333–340 (1957).CrossRefGoogle Scholar
  21. 19.
    D. Houghton, A. Kasahara, and W. Washington, Long-term integration of the barotropic equations in Eulerian form, Monthly Weather Rev. 94 (3) (March 1966);Google Scholar
  22. 19a.
    A. Kasahara and W. M. Washington, NCAR global circulation model of the atmosphere, Monthly Weather Rev. 95, 389 (1967);CrossRefGoogle Scholar
  23. 19b.
    W. M. Washington and A. Kasahara, A January simulation experiment with the two-layer version of the NCAR global circulation model, Monthly Weather Rev. 98 (8), p. 559 (1970).CrossRefGoogle Scholar
  24. 20.
    Y. Minz,, “Very Long-Term Global Integration of the Primitive Equations of Atmospheric Motion,” World Meteorological Organization, Tech. Note No. 66, pp. 141–167, 1964; republished as Am. MeteoroL Soc. MeteoroL Monogr. 8 (30), (1968).Google Scholar
  25. 21.
    P. M. Wolff, L. P. Carstensen, and T. Laevastu, “Analyses and Forecasting of Sea Surface Temperature,” FNWT Tech. Note No. 8, 1965.Google Scholar
  26. 22.
    H. M. O’Neil, “The Air Weather Service Six Level Model,” Air Weather Service Tech. Rept. No. 188, p. 37, Nowember 1966.Google Scholar
  27. 23.
    R. B. Stauffer and T. H. Lewis, MET-WATCH: a technique for processing and scanning meteorological data with a digital computer, Proc. IFIP Congr. 62, Munich, pp. 242–246 (1962).Google Scholar
  28. 24.
    J. G. Giarney, R. Fjortoft, and J. von Neumann, Numerical integration of the barotropic vorticity equations, Tellus 2 (4), 237–254 (1950).CrossRefGoogle Scholar
  29. 25.
    J. W. Csoley and J. W. Tukey, An algorithm for the machine calculation of complex Foarier series, Math. Comp. 19 (90), 297–301 (April 1965).CrossRefGoogle Scholar
  30. 26.
    R. W. Hockney, “A Fast Direct Solution of Poisson’s Equation using Fourier Analysis,” Tech. Rept. CS6, Computer Science Division, Stanford University, April 14, 1964.Google Scholar
  31. 27.
    K. E. Knight, Changes in computer performance, Datamation 12 (9), 40 (1966) andGoogle Scholar
  32. 27.
    K. E. Knight, Changes in computer performance, Datamation 14 (1), 31 (1968).Google Scholar
  33. 28.
    D. Slotrick, W. C. Borck, and R. C. McReynolds, Proceedings of the Eastern Joint Computer Conference, Spartan Books, New York, 1962.Google Scholar
  34. 29.
    D. N. Ssnzig and R. V. Smith, Proceedings of the Fall Joint Computer Conference, Spartan Books, New York, 1965.Google Scholar
  35. 30.
    H. G. Kolsky, Some computer aspects of meteorology, IBM J. Res. Dev. 11 (6), 584 (1967).CrossRefGoogle Scholar
  36. 31.
    D. A. Quarles and K. Spielberg, A computer model for global study of the general circulation of the atmosphere, IBM J. 11 (3), 312–336 (1967).CrossRefGoogle Scholar
  37. 32.
    Y. Kurihara, Numerical integration of the primitive equations on a spherical grid, Monthly Weather Rev. 93 (7), 399 (July 1965).CrossRefGoogle Scholar
  38. 33.
    K. E. Iverson, Programming notation in system design, IBM Syst. J. 2, 117–128 (June 1963).CrossRefGoogle Scholar
  39. 34.
    The APL/360 Program, 360D-03.3.007, which is supported by IBM, and the APL/360 User’s Manual by A. D. Falkoff and K. E. Iverson (may be obtained through any IBM branch office).Google Scholar
  40. 35.
    H. G. Kolsky, “Problem formulation using APL,” IBM Syst. J. 8 (3), 240–219 (1969).CrossRefGoogle Scholar
  41. 36.
    G. W. Platzman, A retrospective view of Richardson’s book on weather prediction, Bull. Am. Meteorol. Soc. 48, 8 (1967).Google Scholar
  42. 37.
    B. H. Armstrong, Theory of the diffusivity factor for atmospheric radiation, J. Quant. Spectr. Rad. Trans. 8, 1577 (1968a);CrossRefGoogle Scholar
  43. 37a.
    B. H. Armstrong, The radiative diffusivity factor for the random Malkmus band, J. Atmos. Sci. 26, 741 (1969).CrossRefGoogle Scholar
  44. 38.
    J. M. Gary, A comparison of difference schemes used for numerical weather prediction, J. Comp. Phys. 4 (3), 279 (1969).CrossRefGoogle Scholar
  45. 39.
    R. G. Fleagle, “The Atmospheric Sciences and Man’s Needs: Priorities for the Future,” National Academy of Sciences Committee on Atmospheric Sciences, NAS-NRC, Washington, D.C. (1971).Google Scholar
  46. 40.
    J. E. Fromm, in Frenkiel, High Speed Computing in Fluid Dynamics, American Institute of Physics, New York, 1969.Google Scholar
  47. 41.
    L. C. Hobbs, ed., Parallel Processor Systems, Technologies and Applications, Spartan and the Macmillan Company, New York, 1970.Google Scholar
  48. 42.
    R. Jastrow and M. Halem, Simulation studies related to GARP, Bull. Am. Meteorol. Soc. 51 (6), 490 (1970).Google Scholar

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • Harwood G. Kolsky
    • 1
  1. 1.IBM Scientific CenterPalo AltoUSA

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