Elemente der Operatorenrechnung mit geophysikalischen Anwendungen

Ertel, Hans

doi:10.1007/978-3-642-91515-4

Cited by 6 publications

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“…It is possible, of course, that methods of successive approximations, such as those outlined by Ertel (1940Ertel ( , 1941 and Van Mieghem (1941), might give more accuratu results but the methods are definitely time-consuming and no adequate proof of the convergence of their approximate solutions has as yet been presented. per cent of the wind speed.…”

Section: Trajectory Curvatures and Deviations From The Geostrophic mentioning

confidence: 99%

A study of the deviations of wind speeds and directions from geostrophic values

Godson¹

1950

Quart J Royal Meteoro Soc

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A study of the deviations of wind speeds and directions from geos t rophic values Uy U'. L. GODSON, h4.A.. 1'Ii.D ( T r~r t i i i i g mid Resenrch Sectton. Meteorologicdl S m w e of C'LIIILL~U, Toronto) SUhIMAKYFrom a knowledge of the three-dimensional wind tield as a tunction of space and time, the total wind acceleration and the trajectory curvature can be computed, permitting the evaluation of the geostrophic wind vector without recourse to analysed isobars or height contours.A study of 618 cases at 10,000 fi for a 3-day November sequence, using observed winds over the North American continent, revealed that the mean absolute angle between the reported wind and the geostrophic wind directions w a s approximately 15'. Large deviation angles were associated with low geostrophic wind speeds. and thus indirectly with low latitudes. The corresponding mean cross-isobar wind coniponent was slightly greater than 5 mi hr-1. The mean absolute deviation between wind and geostrophic wind speeds was of the order of 7 mi hr-1, the corresponding mean

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Section: Trajectory Curvatures and Deviations From The Geostrophic mentioning

confidence: 99%

A study of the deviations of wind speeds and directions from geostrophic values

Godson¹

1950

Quart J Royal Meteoro Soc

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An additional bibliographical sketch on the development of Ertel's potential vorticity theorem

Schröder¹

1988

Quart J Royal Meteoro Soc

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Ein neuer Erhaltungssatz der Hydrodynamik. (A new hydrodynamical conservation-theorem.) Sitz. Dtsch. Akad. Wiss. Berlin, Math-naturwiss, Kl., 1, 1-11 Generic instability of rotating relativistic stars. Comm. Math.Lagrangian perturbation theory of nonrelativistic fluids. Atmosphere-ocean dynamics. Academic Press, LondonThe magnetic analogue of Ertel's potential vorticity theorem.On the use and significance of isentropic potential vorticity.A remark on Ertel's hydrodynamic commutation formula. A Lagrangian for Eulerian fluid mechanism. Proc. R. SOC. A treatise on the mathematical theory of the motion of fluids Solitary drift waves in the presence of magnetic shear. Phys. Geophysical fluid dynamics. 2nd Ed. Springer-Verlag Criteria for the application of Ertel's conservation law in ionized or viscous media. Pageoph, 65, 180-184 A study of a characteristic type of upper-level frontgenesis. 1. Meteorol., 12, 226-237 Fronts in the vicinity of the tropopause. Arch. Meteorol. Geophys. Bioklim., A l l , 1-17 The balance and redistribution of potential vorticity within the ocean. Dyn. Atmos. Ocean, 1, 299-321 On Ertel's vorticity thcorem. Z . Angew. Ma/h. Mech., 2, 109-114 Proof that Ertel's vorticity theorem holds in average for any medium suffering no tangential acceleration on the boundary.

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Strömungen inkompressibler Medien, für welche die Konvektiven Beschleunigungsglieder verschwinden

Heindl

1967

Z Angew Math Mech

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Elemente der Operatorenrechnung mit geophysikalischen Anwendungen

Cited by 6 publications

References 0 publications

A study of the deviations of wind speeds and directions from geostrophic values

A study of the deviations of wind speeds and directions from geostrophic values

An additional bibliographical sketch on the development of Ertel's potential vorticity theorem

Strömungen inkompressibler Medien, für welche die Konvektiven Beschleunigungsglieder verschwinden

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