... simulations

Appendices are only available in electronic form at http://www.edpsciences.org

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... mode

It corresponds to sound waves making successive motions back and forth in the vertical direction with a period Tsimply given by  $T=2/c_{\rm s}=2$, so the pulsation is  $\omega=2\pi /T=\pi$.

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... large.

This last condition implies a clean separation between the acoustic and gravity spectra such that a mixed "gravito-acoustic'' mode is not possible, i.e. the two spectra do not overlap (see Rieutord & Dintrans 2002).

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