commit 9cc985990107240f6245a59dfccf5806b1666db7
parent a00226a781de3cb6752e9d67287ddeb11f6a6996
Author: Ivan Gankevich <i.gankevich@spbu.ru>
Date: Mon, 18 Nov 2019 11:39:49 +0300
Final edits.
Diffstat:
4 files changed, 16 insertions(+), 16 deletions(-)
diff --git a/Makefile b/Makefile
@@ -11,8 +11,8 @@ FLAGS = \
NAME = mmcp-19-gerstner
all: build/$(NAME).pdf
-all: build/$(NAME)-grayscale.pdf
all: build/$(NAME).zip
+all: build/$(NAME)-grayscale.pdf
build/$(NAME).pdf: build
build/$(NAME).pdf: main.tex
diff --git a/main.tex b/main.tex
@@ -21,7 +21,7 @@
\institute{%
Saint Petersburg State University, Universitetskaya
-Emb. 7-9 , 199034 St.~Petersburg, Russia%
+Emb. 7-9, 199034 St.~Petersburg, Russia%
\and%
Alexey Krylov All-Russian Scientific Shipbuilder Society, %with headquarters in
Saint Petersburg, % Scientific Society of Shipbuilders named after Alexey Krylov,
@@ -80,12 +80,12 @@ speed of the wave propagation depends on their length and period. As a result
\centering
\includegraphics[width=0.5\textwidth]{graphics/01-gerstner.png}
\includegraphics[width=0.5\textwidth]{graphics/02-gerstner.png}
- \caption{Analytic solutions: progressive Gerstner wave (top),
+ \caption{(Color online) Analytic solutions: progressive Gerstner wave (top),
a wave of critical height, as a standing wave (bottom).\label{fig-gerstner}}
\end{wrapfigure}
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
+$r_W=1.134\lambda_Wh_W/4\pi$ of the particle trajectory being fixed relative to
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
@@ -102,7 +102,7 @@ with a shift by one fourth of the phase:
\begin{equation*}
\zeta_X = -r_W \sin x_W \exp\left(-2\pi z_W / \lambda_W\right).
\end{equation*}
-The critical wave height of the Gerstner waves (fig.~\ref{fig-gerstner}) gives
+The critical wave height of the Gerstner waves (Fig.~\ref{fig-gerstner}) gives
the correct ratio of the wave height to the wave length, but 60 degree slope
limit for standing wave with steepness \(\approx{}1/4\) as well as 30 degree
slope limit for progressive (traveling) wave with steepness \(\approx{}1/7\)
@@ -112,7 +112,7 @@ are not correctly captured by the model.
\centering
\includegraphics[width=0.5\textwidth]{graphics/03-wind-wave.png}
\includegraphics[width=0.5\textwidth]{graphics/05-wind-wave.png}
- \caption{Simulation result: regular trochoidal waves with vertical
+ \caption{(Color online) Simulation result: regular trochoidal waves with vertical
displacement of sea level and wind stress on the wave sea
surface. Propagating wind waves (top), extremely high wind waves
(bottom).\label{fig-trochoidal}}
@@ -171,7 +171,7 @@ waves.
\begin{wrapfigure}{l}{0.5\textwidth}
\centering
\includegraphics[width=0.5\textwidth]{graphics/06-group-wave.png}
- \caption{Trochoidal wave groups.
+ \caption{(Color online) Trochoidal wave groups.
\label{fig-group}}
\end{wrapfigure}
@@ -182,21 +182,21 @@ length, that propagate under the same laws but with half speed
groups.
On the first entry the profile of the long wave is given by a specific
-smoothing function the form of which is close to phase the wave profile. This
+smoothing function the form of which is close to the phase wave profile. This
function defines continuous changes of the wave front phase which is needed to
simulate waves produced by the ship.
\begin{wrapfigure}{r}{0.6\textwidth}
\centering
\includegraphics[width=0.6\textwidth]{graphics/waves-01.png}
- \caption{Large-amplitude trochoidal waves.
+ \caption{(Color online) Large-amplitude trochoidal waves.
\label{fig-waves-1}}
\end{wrapfigure}
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
+which the ninth wave has double height and is standing wave. This approach
generally gives satisfactory wave surfaces, but does not work for waves
produced by the ship, because these have intricate wave fronts.
@@ -233,7 +233,7 @@ systems, that are used in the scheme.
\begin{wrapfigure}{l}{0.55\textwidth}
\centering
\includegraphics[width=0.55\textwidth]{graphics/07-exp-1.png}
- \caption{In the course of the simulation we visualise all three
+ \caption{(Color online) In the course of the simulation we visualise all three
wave systems and create a view of ship hull dynamics
and sea wave profiles in a different convenient scale.
\label{fig-waves-2}}
@@ -241,10 +241,10 @@ systems, that are used in the scheme.
These waves may add up in unfavourable way to a wave with the height of 13--15
metres, however, in real world mean wave height will be 8--10 metres. Wave
-groups have ninth wave with double height, breaking crest and wave slope larger
+groups have the ninth wave with double height, breaking crest and wave slope larger
than 45 degrees.
-Oceanographers use well-established solutions~\cite{poplavskii1997} for regular
+Oceanographers use well-estab\-lished solutions~\cite{poplavskii1997} for regular
progressive waves of arbitrary shape. Using trochoidal waves as a source, we
fix wave periods and speeds in time to satisfy continuity equation and
energy conservation law. We simulate all three wave systems (described above)
diff --git a/refs.bib b/refs.bib
@@ -7,7 +7,6 @@
number = {8},
pages = {412--445},
doi = {10.1002/andp.18090320808},
- url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.18090320808},
year = {1809},
note = {Republished from an 1802 paper.}
}
@@ -27,7 +26,7 @@
year = {1968}
}
-@Article{ poplavskii1997,
+@Book{ poplavskii1997,
title = {Operational forecast of the tsunami on the sea shores of the
Far East of Russia},
author = {Poplavskii, A. and Khramushin, V. and Nepop, K. and Korolev,
@@ -38,7 +37,7 @@
note = {in Russian}
}
-@Article{ anastopoulos2016,
+@article{ anastopoulos2016,
title = {Towards an improved critical wave groups method for the
probabilistic assessment of large ship motions in irregular
seas},
diff --git a/woc.bst b/woc.bst
@@ -1820,6 +1820,7 @@ FUNCTION {article}
{ output.bibitem
format.authors "author" output.check
author format.key output
+ format.title "title" output.check
crossref missing$
{
""
