mmcp-19-gerstner

git clone https://git.igankevich.com/mmcp-19-gerstner.git
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commit a00226a781de3cb6752e9d67287ddeb11f6a6996
parent 5598887c04305be89324783534aac03f2bf7c43f
Author: Ivan Gankevich <i.gankevich@spbu.ru>
Date:   Thu, 14 Nov 2019 14:16:14 +0300

Answers to reviewers' and editors' recommendations.

Diffstat:
main.tex | 8++++----
review.org | 100+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
2 files changed, 104 insertions(+), 4 deletions(-)

diff --git a/main.tex b/main.tex @@ -86,7 +86,7 @@ speed of the wave propagation depends on their length and period. As a result The Gerstner wave (Fig.~\ref{fig-gerstner}) is a cycloid with the radius $r_W=1.134\lambda_Wh_W/4\pi$ of the partile trajectory being fixed relative to -the flat wavy surface level \(z_W\), hence \(z\)-coordinates of the crest and +the flat wave surface level \(z_W\), hence \(z\)-coordinates of the crest and trough are the same. Here \(\lambda_W\) is the wave length, \(h_W\) is the relative wave height defined on the interval \([0,1]\) with \(h_W=1\) being the maximum wave height for which the crest does not break @@ -161,7 +161,7 @@ between the wind and wave direction vectors: \end{equation*} The energy conservation is defined by the Bernoulli's principle: -\(\rho V^2/2+\rho g \zeta_W=\text{const}\), [N/m$^{2}$], +\(\rho V^2/2+\rho g \zeta_W=\text{const}\), where the particle velocity \(V\) brings the largest contribution to balancing the pressure \(\rho{}g\zeta_W\) on the wave surface down to nought for breaking waves. @@ -175,7 +175,7 @@ waves. \label{fig-group}} \end{wrapfigure} -In our modified model we simulate two wavy surfaces simultaneously: one for +In our modified model we simulate two wave surfaces simultaneously: one for regular waves with normal length and one for waves with nine times higher length, that propagate under the same laws but with half speed (Fig.~\ref{fig-group}). The product of these surfaces allows to simulate wave @@ -197,7 +197,7 @@ There is also a simpler approach to simulate wave groups: a superposition of regular waves with slightly different periods propagating in opposite directions. The interference of waves of comparable lengths produces beats, in which ninth wave have double height and is standing wave. This approach -generally gives satisfactory wavy surfaces, but does not work for waves +generally gives satisfactory wave surfaces, but does not work for waves produced by the ship, because these have intricate wave fronts. diff --git a/review.org b/review.org @@ -0,0 +1,100 @@ +#+options: toc:nil num:nil ':t + +* Editors + +#+begin_quote +The manuscript received for publication has beautiful color pictures. +However, the figures 1 to 3 loose essential details when printed in +black-white (the yellow color becomes invisible). +At the same time, the black-white reproductions of the figures 4 and 5 +are OK. +We understand that the figure quality is an essential part of this +manuscript. +Could you find, please, a solution to get black-white printed figures +1-3 of convenient quality? +As in the similar cases for other submissions with color figures, the +figure captions will start with the supplementary inserted text: "(Color +online)". +#+end_quote +We modified the figures to ensure that all curves are visible in grayscale. + + +#+begin_quote +The proofread of the English has pointed to transparently formulated +ideas. However, the definite article is almost completely absent. Also, +the suggestion of the Referee 2 to use "wave surface" for "wavy surface" +is everywhere implemented in the annotated copy. +#+end_quote +We decided to follow this suggestion and replaced "wavy surface" with "wave +surface" everywhere in the text and fixed all errors marked in the annotated +copy. + + +#+begin_quote +Please, note that the other modifications proposed or suggested by +the two referees are not included in the annotated text. Nevertheless, +we expect that you will afford due consideration of their suggestions. +#+end_quote +We decided to follow all suggestions of the reviewers. Please, see the +answers to their comments below. + + +* Reviewer 1 + +#+begin_quote +The list of references is very short. Perhaps this is due to the +compressed format of the article. Only two historical references are +present. Ref. 3 is a paper in Russian, which is hardly accessible to the +average reader. + +Therefore, I would propose to reduce the abstract and give additional +links to modern papers. +#+end_quote +We reduced the abstract and added references to some papers proposed by one of +the reviewers. + + +* Reviewer 2 + +#+begin_quote +Fluid mechanics are two words - please, check the first line in +abstract. +#+end_quote +We fixed the typo. + + +#+begin_quote +“Wavy surface” is a direct translation from Russian “Взволнованная +поверхность”, this expression is not normally used in English maritime +literature. Usage of “Wave surface” is suggested instead. +#+end_quote +We replaced it everywhere in the text. + + +#+begin_quote +The authors state that “State of the art mathematical and +computational models do not simulate wave groups that are integral parts +of ocean wavy surface”. In the opinion of the reviewer this is not +entirely correct. There is a line of work that does model a seaway as +sequence of  wave groups, see e.g. Anastopoulos et al (2015), but the +main focus is on stochastic properties rather than hydrodynamics. + +Anastopoulos, P.A., Spyrou, K.J., Bassler, C.C. and V. Belenky (2015) +“Towards an Improved Critical Wave Groups Method for the Probabilistic +Assessment of Large Ship Motions in Irregular Sea” Probabilistic +Engineering Mechanics Vol. 44, pp 18-27 +#+end_quote +Thank you for suggesting this line of work. We included the suggested paper as a +reference. + + +#+begin_quote +Usage of a superscript in front of a symbol is confusing. +#+end_quote +The superscript in front of a symbol means frame of reference: either body-fixed +or Earth-fixed. However, in some equations it is impossible to distinguish +between a superscript in front of a symbol and a superscript after the +preceding symbol, therefore we changed it everywhere in the text to resolve the +confusion. + +