2D wave simulation

Basic Waves

simeple waves difined as following equaiton.

\begin{equation} y(x) = A\sin(kx-\omega t) \label{wave} \end{equation}

where, \(k\) is wave number, \( \omega\) is angular frequency

Amplitude: \(A\)
Wave number: \(k\)
Angular frequency: \( \omega \)

Evaluatiing panel number:

Simple hull form expression

Lewis form which is a simple hull form expression is applied. Lewis forms represent the hull shape as a linear mapping to a circle. \begin{equation} x+i y = M { \zeta + a_1/ \zeta + a_3/ \zeta ^{3}} \end{equation} \begin{equation} \zeta = \sin{ \theta} + i \cos{ \theta} \end{equation}

Breadth:
Draft:
Sectional Area:

Reference:

"Kashiwagi, M., Iwashita, H., 2012, “Ship Motion (Performance in Waves Edition) Naval Architecture and Ocean Engineering Series 4", (in Japanese) 船体運動(耐航性能編) 船舶海洋工学シリーズ4

Author

Dr. Yasuo Ichinose © 2022-2024 NMRI All Rights Reserved.