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
Thaning1, Lennart (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
The existence or solutions to the non-linear normal mode initialization proposed by Machenhauer is examined in a low-order version of a shallow water model on an equatorial β-plane. The model contains only three modes: one Rossby mode and two gravity type modes. Simple physical forcing is included in the model. The analysis shows that generally there is more than one state that satisfies the initial conditions. Only one, however, can be accepted as a realistic initial state. Furthermore, in the case without non-adiabatic forcing, the iterative non-linear normal mode procedure can converge only to the realistic initial state. When the Rossby amplitude is increased beyond a critical value, the realistic initial state ceases to exist. The critical value of the Rossby amplitude decreases when the fluid becomes more shallow. Non-adiabatic forcing may also violate the existence of the realistic initial state. The critical forcing necessary to do this, decreases with decreasing depth of the fluid.DOI: 10.1111/j.1600-0870.1984.tb00220.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Baer. F. 1977.Adjustment of initial conditions required and quasi-geostrophic theory. J . Atmos. Sci. 37, to suppress gravity oscillations in non-linear flows. 958-968. Contrib.Atmos. fhys. 50,350-366. Machenhauer, B. 1977. On the dynamics of gravity Baer, F. and Tribbia, J. 1977.On complete filtering of oscillations in a shallow water-model, with appligravity modes through non-linear initialization. Mon. cations to normal-modeinitialization.Contri6. Atmos. Weu. Rev. 105, 1536-1539. fhys. 50,253-27 I.
    • Ballish, 8. 1981. A simple test of the initialization of Phillips, N. 1981. Treatment of normal and abnormal gravity modes. Mon. Weu. Rev. 109, 1318-1321. modes. Mon. Weu.Reu. 109, I I 17- I I 19.
    • Daley, R. 1978. Variational non-linear normal-mode Temperton, C. and Williamson, D. L. 1979. Normal initialization. Tellus30,201-218. mode initialization for a multi-level grid-point model.
    • Gollvik. S. and Thaning. L. 1980. A spectral primitive European Centre for Medium Range Weather shallow water model on an equatorial fiplane. Dept. Forecasts, Tech. Rep. No. I I . of Meteorology, University of Stockholm, Report Tribbia, J. 1979. Non-linear initialization on an aquaDM-33. (Available from Library, Dept of torial Fplane. Mom. Weu. Roy. 107,704-712. Meteorology, University of Stockholm. Arrhenius Tribbia, J. I98I. Non-linear normal-modebalancingand Laboratory, S-106 91 Stockholm, Sweden.) the ellipticity condition. Mon. Weu. Reu. 109, I75ILeith, C. E. 1980.Non-linear normal-modeinitialization 1761.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from