# HG changeset patch
# User paugier <pierre.augier@univ-grenoble-alpes.fr>
# Date 1695053387 -7200
#      Mon Sep 18 18:09:47 2023 +0200
# Node ID 88dba473f0604ca3ce97c727e8d71e74128759c7
# Parent  ae3a19bc7a76766766d6994b3508cf9e8ec45d4c
tmp after conf Nice

diff --git a/2022strat_polo_proj/review0/rebut1.tex b/2022strat_polo_proj/review0/rebut1.tex
--- a/2022strat_polo_proj/review0/rebut1.tex
+++ b/2022strat_polo_proj/review0/rebut1.tex
@@ -45,11 +45,18 @@
 hyperdiffusion?
 }
 
+We performed with Jason Reneuve an extensive study on dealiasing methods
+(also with phase shifting). It is not yet published but a notable result is that ... TODO...
+
+
 \itemit{p.5: what is the motivation behind forcing low frequency waves only? Wouldn't
 it be better to increase the wave frequency to better satisfy the timescale
 separation required by WWT?
 }
 
+TODO: add in the article + add added text here. (geophysical fluids (for example M2 waves) + temporal spectra)
+
+
 \itemit{
 Why is hyperviscosity added to the regular viscosity? Is it just for
 regularisation purposes, but in that case, the simulations presented cannot be
@@ -57,12 +64,28 @@
 would they all blow up without it?
 }
 
+TODO: add in the article + add added text here.
+
+- Most of the simulations are proper DNS with $\kmax\eta$ larger or close to one. For example (40, 20), $\kmax\eta = 0.99$ and 1.05.
+
+- Few simulations are not DNS, but they can be to some extend characterized with the standard Reynolds number.
+
+- Without hyperviscosity the simulations would not blow up.
+
+- Dataset which can be later improved...
+
+
 \itemit{
 Shear modes are removed from all simulations, but how is this achieved
 exactly? Is it done via a spectrally localised damping term or simply put to
 zero at every time steps?
 }
 
+TODO: add in the article + add added text here.
+
+Put to zeros at each time step. Conserves energy. Similar physically to vertical walls in a tank.
+
+
 \itemit{
 It is mentionned that the forcing is not delta-correlated in time but that
 its correlation time is consistent with the dispersion relation of internal
@@ -74,6 +97,18 @@
 change something to the results presented here?
 }
 
+TODO: describe better the forcing in the article + add added text here.
+
+- no proper stochastic process involve. Phase and amplitude of the forced wavenumbers random and changed in time ...
+
+- a bit of Python to compute time spectra of such process.
+
+- this aspect of the forcing will be discussed in a paper describing more globally the dataset.
+
+TODO: add the question on possible effect of harmonic forcing. We don't know.
+Interesting open question that could be investigated in future studies.
+
+
 \itemit{
 Figure 7: could you show the spatial structure of the dominant vortical mode
 by filtering the coefficients in Fourier space and transform it back to physical
@@ -81,10 +116,16 @@
 and without vortical modes, would be helpful in my opinion.
 }
 
+Add a 3D figure...
+
+
 \itemit{
 Figure 9: what is the purpose of the kz=kh line?
 }
 
+?
+
+
 \itemit{
 Figure 16: this is an important plot in my opinion, it might be useful to
 include other studies? In particular, it is rather suprising that [46] is so far
@@ -93,12 +134,24 @@
 filling the gap between these two extremes?
 }
 
+TODO: which studies with wave forcing? Waite... Lindborg... ???
+
+For studies motivated by geophysical flows, the focus is more on buoyancy Reynolds number large or at least not very small.
+
+Unfortunately, not always easy to correctly quantify these numbers from the data given in the articles.
+
+
 \itemit{
 The shear modes are always suppressed while the vortical modes are either
 left or suppressed. Do the authors expect surprising behaviours with the shear
 modes but without the vortical modes?
 }
 
+We know thanks to a study on 2D turbulence (Calpe-linares PhD thesis)
+that shear modes can grow without toroidal modes. Therefore we can anticipate accumulation of energy in shear modes,
+which should become very strong and distore the waves.
+
+
 \itemit{
 Note that Le Reun et al. [46] did not have to remove neither shear nor
 vortical modes (while the same authors had to remove the geostrophic flow in
@@ -110,9 +163,10 @@
 grow if not directly forced?
 }
 
+TODO: improve the discussion on the difference between Le Reun et al.
+
 \end{enumerate}
 
-
 \subsection*{Additional small comments:}
 
 \begin{itemize}
diff --git a/2022strat_polo_proj/review0/rebut2.tex b/2022strat_polo_proj/review0/rebut2.tex
--- a/2022strat_polo_proj/review0/rebut2.tex
+++ b/2022strat_polo_proj/review0/rebut2.tex
@@ -52,6 +52,9 @@
 and why, and how $n_z$ is chosen.
 }
 
+TODO: better describe in the method section.
+
+
 \itemit{
 The poloidal forcing is meant to excite only waves but you do not discuss
 its impact on the potential vorticity (PV), which governs the vortical mode.  In
@@ -59,6 +62,14 @@
 given how important a concept it is in geophysical fluid mechanics.
 }
 
+PV is known to be much less dynamically important in stratified flows than in stratified and rotating flows.
+The Ertel PV $\bomega \cdot \bnabla (N^2 z + b) = \omega_z (N^2 + \partial_z b) + \bomega_h \cdot \bnabla_h b$
+is not quadratic and is not equal to the Charney PV.
+There is no PV cascade like in quasi-geostrophic flows.
+
+The forcing in poloidal velocity produces and removes PV but we do not know what can be deduced from that.
+
+
 \itemit{
 I felt overwhelmed by the great number of non-dimensional parameters
 introduced here; even with all these definitions one could still invent more, ie
@@ -69,17 +80,30 @@
 unfolded.
 }
 
+- Improve  eq (17)
+
+- Move end of page 7 later...
+
+- No non-dimensional numbers based on hyper-viscosity ...
+
+
 \itemit{
 You talk of “removing vortical modes”.  How is that done numerically?  Is it
 a similar process as in Holmes-Cerfon et al. in JFM 2013?
 }
 
+TODO: improve the method section.
+
+
 \itemit{
 In the discussion session you say that the energy conversion rate does not
 fluctuate around zero.  As only the kinetic energy is forced, shouldn’t the
 KE->PE conversion rate be nonzero a priori?
 }
 
+For Vincent...
+
+
 \end{enumerate}
 
 \subsection*{Minor comments}
@@ -92,6 +116,7 @@
 speeds, not scale separation as stated here.
 }
 
+
 \itemit{
 (3) maybe it could be stated how these are derived from each other?  Also,
 the folklore in oceanography is that the internal wave energy flows downscale in
@@ -99,6 +124,12 @@
 that?
 }
 
+- oceans: forced waves (inertial waves, M2 and spontaneous generation from vortices) $\omega/N$ small.
+
+- our results also transfers towards slow waves
+
+- open question in ocean and in WWT theories
+
 \itemit{
 typo p4 hyper viscosity
 }