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Diagnostic equations for two-dimensional vortical flows

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Summary

A straightforward derivation shows that in two-dimensional vortical flows without the effect of unsteady irrotational straining there is a set of three diagnostic equations (i.e. not involving time derivatives) associated with the prognostic one for vorticity transport. These equations provide — apart from the primary diagnostic significance — a specific (topological, dynamical, geometrical) meaning treated in detail.

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  1. V. Kolář

    Present address: Institute of Hydrodynamics, Acad. Sci. Czech. Rep., Podbabská 13, 16612, Prague 6, Czech Republic

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    Kolář, V. Diagnostic equations for two-dimensional vortical flows. Acta Mechanica 120, 227–231 (1997). https://doi.org/10.1007/BF01174326

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    • DOI: https://doi.org/10.1007/BF01174326

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