mmcp-19-gerstner

git clone https://git.igankevich.com/mmcp-19-gerstner.git
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commit 043c7e17fe45b0306c2e08053ee7334910ac9030
parent 449235f476c155c0e1b3dd3962b4aca0372c5fec
Author: Ivan Gankevich <igankevich@ya.ru>
Date:   Sun, 14 Jul 2019 15:00:51 +0300

Graphics and original text.

Diffstat:
doc/gerstner.odt | 0
graphics/01-gerstner.png | 0
graphics/02-gerstner.png | 0
graphics/03-wind-wave.png | 0
graphics/05-wind-wave.png | 0
graphics/06-group-wave.png | 0
graphics/07-exp-1.png | 0
graphics/waves-01.png | 0
main.tex | 47++++++++++++++++++++++++++++++++++++++++++++++-
9 files changed, 46 insertions(+), 1 deletion(-)

diff --git a/doc/gerstner.odt b/doc/gerstner.odt Binary files differ. diff --git a/graphics/01-gerstner.png b/graphics/01-gerstner.png Binary files differ. diff --git a/graphics/02-gerstner.png b/graphics/02-gerstner.png Binary files differ. diff --git a/graphics/03-wind-wave.png b/graphics/03-wind-wave.png Binary files differ. diff --git a/graphics/05-wind-wave.png b/graphics/05-wind-wave.png Binary files differ. diff --git a/graphics/06-group-wave.png b/graphics/06-group-wave.png Binary files differ. diff --git a/graphics/07-exp-1.png b/graphics/07-exp-1.png Binary files differ. diff --git a/graphics/waves-01.png b/graphics/waves-01.png Binary files differ. 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}