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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 @@ ...@@ -245,5 +245,5 @@
but upscale in frequency. Do the quoted WWT theories agree with that?} 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 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 the dispersion relation $E(\omega, k_z) = E(k_h,k_z) \left( \partial \ok / \partial k_h
...@@ -249,12 +249,14 @@ ...@@ -249,12 +249,14 @@
the dispersion relation $E(\omega, k_z) = E(k_h,k_z) \left( \partial \ok / \partial k_h 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 \right)^{-1}$.}''.
subtle question. For example, the direction of the energy cascade depends on the
considered triad for inertial wave turbulence \cite[]{david_locality_2023}. Generally The question of energy transfers in anisotropic wave systems is a subtle question. For
speaking, the transfers also depend on the exponents of the energy spectrum. In the example, the direction of the energy cascade depends on the considered triad for
case of stratified flows, \cite{dematteis_origins_2022} argued that the global energy inertial wave turbulence \cite[]{david_locality_2023}. Generally speaking, the
flux is direct in both $k_z$ and $\omega$ for some spectra due to the dominance of transfers also depend on the exponents of the energy spectrum. In the case of
Induced Diffusion (ID) contribution. Yet, the Parametric Subharmonic Instability (PSI) 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 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 (see Figure 15). To our opinion, a complete prediction for energy transfers (based on
WWT or a more general theory) remains to be find. WWT or a more general theory) remains to be find.
...@@ -257,9 +259,11 @@ ...@@ -257,9 +259,11 @@
mechanism is responsible for inverse cascade in $\omega$ as explained in section III.D 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 (see Figure 15). To our opinion, a complete prediction for energy transfers (based on
WWT or a more general theory) remains to be find. WWT or a more general theory) remains to be find.
- TODO: oceans: forced waves (inertial waves, M2 and spontaneous generation from Note also that a lot of forcing mechanics known to be important (internal tide,
vortices) $\omega/N$ small. 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} \itemit{typo p4 hyper viscosity}
...@@ -267,7 +271,7 @@ ...@@ -267,7 +271,7 @@
This typo is corrected. 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 (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 velocity when we removing vortical modes. However, the reviewer's remark make us
...@@ -290,7 +294,7 @@ ...@@ -290,7 +294,7 @@
force with white noise in time?} force with white noise in time?}
We chose $T_c$ to be equal to the wave period to excite frequencies of the same order 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 excite all frequencies, favoring the appearance of vortical modes and non linear
structures. structures.
......
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