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The Interaction Between Rossby Waves and the Mean Flow

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Abstract

The following questions are central in studies of the global circulation:

  • Is the mean flow influenced by atmospheric waves like gravity waves or Rossby waves? And if so, how?

  • Vice versa, how does the mean flow influence the waves?

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Notes

  1. 1.

    It is not required here that the streamfunction is real-valued. As we will see below, real-valued fields are obtained from superposing WKB solutions with opposite wavenumbers and with complex-conjugate amplitudes.

  2. 2.

    A corresponding generalization is possible.

  3. 3.

    Here the asterisk does not indicate the complex conjugate.

  4. 4.

    In the mesosphere higher up small-scale gravity waves play the dominant role. In the present formulation their influence can be captured via corresponding forcing \(\langle F\rangle \ne 0\) and heating \(\langle Q\rangle \ne 0\).

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Correspondence to Ulrich Achatz .

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Achatz, U. (2022). The Interaction Between Rossby Waves and the Mean Flow. In: Atmospheric Dynamics. Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-63941-2_8

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