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On truncated models of barotropic vorticity equation in spherical geometry

Über abgeschnittene Modelle der barotropen Vorticity-Gleichung in sphärischer Geometrie

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Summary

A particular truncated spectral model of the barotropic vorticity equation is considered in spherical geometry. Two wave disturbances are taken into account together with an arbitrary zonal flow. It is shown that there exists some evidence that truncation at reasonably high values of both meridional and zonal indexes does not introduce significant errors in the estimate of time evolution.

Zusammenfassung

Es wird ein besonderes abgeschnittenes spektrales Modell der barotropen Vorticity-Gleichung in sphärischer Geometrie in Betracht gezogen. Zwei Wellenstörungen werden zusammen mit einer willkürlichen Strömung berücksichtigt. Es wird gezeigt. daß es einen Nachweis gibt, daß Truncation bei angemessen hohen Werten der beiden meridionalen und zonalen Indizes keine signifikanten Fehler in der Bestimmung der zeitlichen Entwicklung bringt.

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Authors and Affiliations

  1. Istituto di Fisica A. Righi, Università di Bologna, 1-40126, Bologna, Italy

    R. Lupini & C. Pellacani

  2. Dipartimento di Matematica, Facoltà di Ingegneria, Universitä di Ancona, Ancona, Italy

    R. Lupini & C. Pellacani

Authors
  1. R. Lupini
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  2. C. Pellacani
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Lupini, R., Pellacani, C. On truncated models of barotropic vorticity equation in spherical geometry. Arch. Met. Geoph. Biocl. A. 32, 79–85 (1983). https://doi.org/10.1007/BF02272712

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  • DOI: https://doi.org/10.1007/BF02272712

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