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Commit b58af7713c85 authored by Pierre Augier's avatar Pierre Augier
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More rebut2

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......@@ -245,5 +245,5 @@
but upscale in frequency. Do the quoted WWT theories agree with that?}
We explain how the change of coordinates $(k_h, k_z) \rightarrow (\omega, k_z)$ is done
after equation (3) by adding \Add{``... where the change of coordinates is defined by
after equation (3) by adding ``\Add{... where the change of coordinates is defined by
the dispersion relation $E(\omega, k_z) = E(k_h,k_z) \left( \partial \ok / \partial k_h
......@@ -249,12 +249,14 @@
the dispersion relation $E(\omega, k_z) = E(k_h,k_z) \left( \partial \ok / \partial k_h
\right)^{-1}$.''}. The question of energy transfers in anisotropic wave systems is a
subtle question. For example, the direction of the energy cascade depends on the
considered triad for inertial wave turbulence \cite[]{david_locality_2023}. Generally
speaking, the transfers also depend on the exponents of the energy spectrum. In the
case of stratified flows, \cite{dematteis_origins_2022} argued that the global energy
flux is direct in both $k_z$ and $\omega$ for some spectra due to the dominance of
Induced Diffusion (ID) contribution. Yet, the Parametric Subharmonic Instability (PSI)
\right)^{-1}$.}''.
The question of energy transfers in anisotropic wave systems is a subtle question. For
example, the direction of the energy cascade depends on the considered triad for
inertial wave turbulence \cite[]{david_locality_2023}. Generally speaking, the
transfers also depend on the exponents of the energy spectrum. In the case of
stratified flows, \cite{dematteis_origins_2022} argued that the global energy flux is
direct in both $k_z$ and $\omega$ for some spectra due to the dominance of Induced
Diffusion (ID) contribution. Yet, the Parametric Subharmonic Instability (PSI)
mechanism is responsible for inverse cascade in $\omega$ as explained in section III.D
(see Figure 15). To our opinion, a complete prediction for energy transfers (based on
WWT or a more general theory) remains to be find.
......@@ -257,9 +259,11 @@
mechanism is responsible for inverse cascade in $\omega$ as explained in section III.D
(see Figure 15). To our opinion, a complete prediction for energy transfers (based on
WWT or a more general theory) remains to be find.
- TODO: oceans: forced waves (inertial waves, M2 and spontaneous generation from
vortices) $\omega/N$ small.
Note also that a lot of forcing mechanics known to be important (internal tide,
inertial waves, spontaneous generation from slow vortices) force rather slow waves. It
would be surprising if the $\omega^{-2}$ spectrum down to $\omega = N$ could be
explained only with a upscale in frequency energy cascade.
\itemit{typo p4 hyper viscosity}
......@@ -267,7 +271,7 @@
This typo is corrected.
\itemit{(20) is an interesting definition. But I dont understand (20b)}
\itemit{(20) is an interesting definition. But I don't understand (20b)}
(20a) is relevant because we remove one over two degree of freedom of the horizontal
velocity when we removing vortical modes. However, the reviewer's remark make us
......@@ -290,7 +294,7 @@
force with white noise in time?}
We chose $T_c$ to be equal to the wave period to excite frequencies of the same order
than the linear internal gravity $\ok = N k_h/k$. On the contrary, a white noise would
than the linear internal gravity $\ok = N k_h/k$. In contrast, a white noise would
excite all frequencies, favoring the appearance of vortical modes and non linear
structures.
......
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