Summary
We have carried out a mathematical and physical analysis of the instabilities present in a one-layer wind model. The single terms of the basic equation have been discussed, pointing out their influence on the accuracy of the solution and their relationship to the possible instabilities. Possible improvements of the model in different directions are indicated in the final discussion.
Riassunto
Si effettua un’analisi matematica e fisica delle instabilità presenti nel modello del vento ad uno strato. Si discutono i singoli termini dell’equazione di base, sottolineando la loro influenza sulla accuratezza della soluzione e la loro relazione con le instabilità possibili. Nella discussione finale si indicano possibili miglioramenti del modello in diverse direzioni.
Резюме
Проводится математический и физический анализ неустойчивостей, возникающих в одно-слойной модели ветра. Обсуждаются отдельные члены базисного уравнения. Отмечается влияние этих членов на точность решения и их связь с возможными неустойчивостями. Указываются возможные улучцения обсуждаемой модели в различных напавлениях.
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References
W. F. Ames:Nonlinear Partical Differential Equations in Engineering (Academic Press, New York, N. Y., 1965).
J. G. Charney:Planetary fluid dynamics, inDynamic Meteorology, edited byP. Morel (Reidel Publ. Co., Dordrecht, 1973), p. 622.
R. Courant andD. Hilbert:Methods of Mathematical Physics, Vol. 2 (Interscience Publ., New York, N. Y., 1962), p. 830.
M. Lamb:Hydrodynamics (Cambridge University Press, Cambridge, 1932), p. 738.
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Bergamasco, A., Cavaleri, L. & Sguazzero, P. Physical and mathematical analysis of a wind model. Il Nuovo Cimento C 9, 1–16 (1986). https://doi.org/10.1007/BF02508048
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DOI: https://doi.org/10.1007/BF02508048