commit 043c7e17fe45b0306c2e08053ee7334910ac9030
parent 449235f476c155c0e1b3dd3962b4aca0372c5fec
Author: Ivan Gankevich <igankevich@ya.ru>
Date: Sun, 14 Jul 2019 15:00:51 +0300
Graphics and original text.
Diffstat:
9 files changed, 46 insertions(+), 1 deletion(-)
diff --git a/doc/gerstner.odt b/doc/gerstner.odt
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diff --git a/graphics/01-gerstner.png b/graphics/01-gerstner.png
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diff --git a/graphics/02-gerstner.png b/graphics/02-gerstner.png
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diff --git a/graphics/03-wind-wave.png b/graphics/03-wind-wave.png
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diff --git a/graphics/05-wind-wave.png b/graphics/05-wind-wave.png
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diff --git a/graphics/06-group-wave.png b/graphics/06-group-wave.png
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diff --git a/graphics/07-exp-1.png b/graphics/07-exp-1.png
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diff --git a/graphics/waves-01.png b/graphics/waves-01.png
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diff --git a/main.tex b/main.tex
@@ -56,8 +56,17 @@ that uses added masses.
\maketitle
\section{Introduction}
+
\section{Computational model of intense sea waves}
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/01-gerstner.png}
+ \includegraphics[width=\textwidth]{graphics/02-gerstner.png}
+ \caption{Analytic solutions: progressive Gerstner wave (top),
+ extremely high or standing wave (bottom).\label{fig-gerstner}}
+\end{figure}
+
\(r_W=1.134\lambda_Wh_W/4\pi\text{ }\left[\text{m}\right]\)
\begin{equation*}
@@ -70,6 +79,16 @@ that uses added masses.
\qquad \left[\text{m}\right]
\end{equation*}
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/03-wind-wave.png}
+ \includegraphics[width=\textwidth]{graphics/05-wind-wave.png}
+ \caption{Simulation result: regular trochoidal waves with vertical
+ displacement of sea level and wind tension on the wave sea
+ surface. Propagating wind waves (top), extremely high wind waves
+ (bottom).\label{fig-trochoidal}}
+\end{figure}
+
\(^{A}R_W=^{A}Kr_W\left(\cos{}x_W-1\right)\), where \(^{A}K=[1,0..\sqrt{2}]\)
\(^{W}R_W=^{W}Kr_W\left(\sin{}x_W-1\right)\), where \(^{W}K=[0..1]\)
@@ -80,7 +99,7 @@ that uses added masses.
-z_W + r_W ^{A} K \left( \cos x_W - 1\right) + r_W ^{W} K\sin x_W
\right] / \lambda_W
\right) \\
- \zeta_X &= -r_W \sin x_W
+ \zeta_X &= -r_W \sin x_W \exp\left(
2\pi \left[
-z_W + r_W ^{A} K \left( \cos x_W - 1\right) + r_W ^{W} K\sin x_W
\right] / \lambda_W
@@ -94,7 +113,33 @@ that uses added masses.
\end{equation*}
\section{Group structures of trochoidal waves}
+
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/06-group-wave.png}
+ \caption{Phase wave product with packet groups contours of wave
+ field.\label{fig-group}}
+\end{figure}
+
\section{Direct numerical simulation for the simulation of sea waves}
+
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/waves-01.png}
+ \caption{Contours of high-amplitude trochoidal wave profiles.\label{fig-waves-1}}
+\end{figure}
+
+\begin{figure}
+ \centering
+ \includegraphics[width=\textwidth]{graphics/07-exp-1.png}
+ \caption{In the course of the simulation we visualise all three
+ monochromatic fields and their overall representatation in
+ interaction with ship hull and create a view of ship hull dynamics
+ and sea wave profiles in a different convenient scale.\label{fig-waves-2}}
+\end{figure}
+
+
+
\section{Conclusion}
\begin{acknowledgement}
