Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Miyakoda, K.; Moyer, R. W. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
A new technique to solve the balance equation for a given geopotential field is tested. The technique may offer a substitute for conventional methods of solving the ?- and the ?-equations. The non-filtered thermo-hydrodynamical equations are used as the basis, and the balance solution is obtained iteratively by filtering out the high-frequency modes through the use of the Euler-backward time differencing scheme. The merit of this technique as compared to conventional methods is that equations which include complicated processes, such as friction or heating, can be treated without difficulty, and that the balanced solution thus obtained appears completely consistent with the prognostic equations. Furthermore, it is no longer necessary to artificially modify the observed geopotential as in conventional schemes, so as to meet the ellipticity condition of the differential equations.DOI: 10.1111/j.2153-3490.1968.tb00355.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Amason, G. 1968. A convergent method for solving the balance equation. J . Meteor. 15,220-26.
    • Bolin, B. 1966. Numerical forecasting with the barotropic model. Tellua 7, 27-49.
    • Bring, A. & Charasch, E. 1968. An experiment in numerical prediction with two non-geostrophic barotropic models. Tellua 10, 88-94.
    • Bushby, F. H. 1962. The evaluation of vertical velocity and thickness tendency from Sutcliffe's theory. Quart. J. Roy. Meteor. SOC.78, 364-62.
    • Charney, J. G. 1966. The use of the primitive equations of motion in numerical prediction. Tellua 7, 22-26.
    • Eliassen, A. 1903. On numerical integration of certain partial differential equations by meam of the “Improved Euler-Cauchy Method”. Tech. Note No. 1, Inst. of Theoret. Meteor., Univ. of Oslo, Norway, AFCRL-63-823.
    • Fjertoft, R. 1962. A numerical method of solving certain partial differential equations of second order. Geophya.Publ. Geophys. Norveg. 24, 229-39.
    • Hinkelmann, K. 1961. Der Mechanismsdes Meteorologischen Ltirmes. Tellua 3, 286-96.
    • Hinkelmann, K., Essenwanger, O., Reymann, G. & Wippennann,F. 1962.Physicalisch-mathematische Grundlagen der numerischen Integration in einer baroclinen Atmosphare. Berichte dea Deutach. Watt., US-Zone, No. 38, p. 416.
    • JurEec, V. January, 1964. Non-geoatrophk v e r t h l motiom and energy tramformatiom. Ph.D. Dissertation, Univ. of California, Los Angeles.
    • Kurihara, Y.1966. On the use of implicit and itemtive methods for the time integration of the wave equation. Mon. Wea. Rev. 93, 33-46.
    • Matsuno, T. 1966.Numericalintegrationaof theprimitive equations by a simulated backward difference method. J . Me&. SOCJ.apan 44, 7G84.
    • Mintz, Y . 1963. Meteorological aatellitea and numerical weather prediction. The Application of Paanive M i c r a v e Technology to Satellite Meleotology. A Symposium, RAND Corporation, Santa Monica, Mem. RM-3401NASA, 1962.
    • Miyakoda, K. 1966. On a method of solving the balance equation. J . Meteor. SOC. Japan 34, 364-7.
    • Miyakoda, K. 1963. Some characterktic featurea of winter circulation i n the tropoahere and the h e r stratosphere. Tech. Rep. No. 14, Dept. of Geophys. Sci., Univ. of Chicago.
    • Phillips, N. A. 1960. On the problem of initial date for the primitive equations. Tellua 12, 121-126.
    • Rosaby, C. G. 1938. On the mutual adjustment of E. MIYAKODA AND R. W. MOYER pressure and velocity distribution in certain simple current systems. J . Meteor. Res. 1, 239-63.
    • Shuman, F. 1957. Numerical methods in weather prediction: I. The balance equation. Mon. Wea. Rev. 85, 329-32.
    • Smagorinsky, J. 1958. On the numerical integration of the primitive equations of motion for baroclinic flow in a closed region. Mon. Wea. Rev. 86,457-66.
    • Smagorinsky, J., Strickler, R. F., Sangster, W. E., Manabe, S., Holloway, J. L. & Hembree, G. D. 1965. Prediction experiment with 9-level general circulation model. Proceedings of the International Symposium on Dynamics of Large Scale Processes i n the Atmosphere, Moscow, USSR, 23-30, June 1965.
    • Sumner, E. J. 1960. The significance of vertical stsbility in synoptic development. Quart. J . Roy. Meteor. SOC.77, 384-92.
    • Washington, W. M. 1964. Initialization of primitiveequation models for numerical weather prediction. Final Rep. (Part I) AFCRL-64-1005 (I)Contract No. A F 19(604)-7261,RT. Duquet, Project Director. Air Force Cambridge Research Laboratories, Office of Aerospace Research, USAF, Bedford. Mass.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from