No.  C0  C1  C2  C3  C4  C5 

Speed [m/s]  \(2.017\)  
Froude number (\(F_r\))  0.261  
Reynolds number (\(R_e\))  \( 1.074 \times 10^7\)  
Wave length: \(\lambda\) [m]  0.0  3.949  5.164  6.979  8.321  11.840 
Wave height: \(H_s\) [m]  0.0  0.062  0.078  0.123  0.149  0.196 
\(\zeta_s\) : wave amplitude, \(\zeta_s = \displaystyle{\frac{H_s}{2}}\)
\(k\) : wave number, \(\displaystyle{k=\frac{2 \pi}{\lambda}}\)
Note: The heave and pitch motions are given at the center of gravity and the wave crest is at FP when \(t=0\).
Not yet available.
Table/Figure#  Items  EFD Data  Submission Instruction  

Data file  Image  Image files  Sample + Tecplot layout file  
2.101  Comparison of:

Refer to sample file for details  Filename: 
[Identifier]_6conditions_210_20150914.xlsx (updated on September, 14, 2015) 

2.102C1  Time histories of total resistance coefficient (\(C_T\)), heave motion (\(z / \zeta_s\)) and pitch angle (\(\theta / k \zeta_s \)), which are reconstructed from the Fourier Series (not the raw signals) (test condition 1) 
Refer to sample file for details  Filename: [Identifier]_CT_This_C1_210.png ( for \(C_T\) ) [Identifier]_heave_This_C1_210.png ( for \(z / \zeta_s \) ) [Identifier]_pitch_This_C1_210.png ( for \(\theta / k \zeta_s \) ) Xaxis range: \( 0.0 \le \displaystyle{\frac{t}{T_e}} \le 1.0 \) Yaxis range: \( 0.003 \le C_T \le \color{blue}0.012 \) \( \color{blue}1.0 \color{red} \le \displaystyle{\frac{z}{\zeta_s}} \le 0.5 \) \( \color{blue}0.15 \color{red} \le \displaystyle{\frac{\theta}{k \zeta_s}} \le 0.05 \) Style: CFD solid line EFD open circles 
Case2.102.zip (updated on September, 14, 2015) 

2.102C2  Time histories of total resistance coefficient (\(C_T\)), heave motion (\(z / \zeta_s\)) and pitch angle (\(\theta / k \zeta_s \)), which are reconstructed from the Fourier Series (not the raw signals) (test condition 2) 
Refer to sample file for details  Filename: [Identifier]_CT_This_C2_210.png ( for \(C_T\) ) [Identifier]_heave_This_C2_210.png ( for \(z / \zeta_s \) ) [Identifier]_pitch_This_C2_210.png ( for \(\theta / k \zeta_s \) ) Xaxis range: \( 0.0 \le \displaystyle{\frac{t}{T_e}} \le 1.0 \) Yaxis range: \( 0.008 \le C_T \le \color{blue}0.016 \) \( \color{blue} 1.0 \color{red} \le \displaystyle{\frac{z}{\zeta_s}} \le 0.5 \) \( 0.5 \le \displaystyle{\frac{\theta}{k \zeta_s}} \le 0.5 \) Style: CFD solid line EFD open circles 

2.102C3  Time histories of total resistance coefficient (\(C_T\)), heave motion (\(z / \zeta_s\)) and pitch angle (\(\theta / k \zeta_s \)), which are reconstructed from the Fourier Series (not the raw signals) (test condition 3) 
Refer to sample file for details  Filename: [Identifier]_CT_This_C3_210.png ( for \(C_T\) ) [Identifier]_heave_This_C3_210.png ( for \(z / \zeta_s \) ) [Identifier]_pitch_This_C3_210.png ( for \(\theta / k \zeta_s \) ) Xaxis range: \( 0.0 \le \displaystyle{\frac{t}{T_e}} \le 1.0 \) Yaxis range: \( 0.010 \le C_T \le 0.020 \) \( 2.0 \le \displaystyle{\frac{z}{\zeta_s}} \le 2.0 \) \( 2.0 \le \displaystyle{\frac{\theta}{k \zeta_s}} \le 2.0 \) Style: CFD solid line EFD open circles 

2.102C4  Time histories of total resistance coefficient (\(C_T\)), heave motion (\(z / \zeta_s\)) and pitch angle (\(\theta / k \zeta_s \)), which are reconstructed from the Fourier Series (not the raw signals) (test condition 4) 
Refer to sample file for details  Filename: [Identifier]_CT_This_C4_210.png ( for \(C_T\) ) [Identifier]_heave_This_C4_210.png ( for \(z / \zeta_s \) ) [Identifier]_pitch_This_C4_210.png ( for \(\theta / k \zeta_s \) ) Xaxis range: \( 0.0 \le \displaystyle{\frac{t}{T_e}} \le 1.0 \) Yaxis range: \( 0.020 \le C_T \le 0.040 \) \( 2.0 \le \displaystyle{\frac{z}{\zeta_s}} \le 2.0 \) \( 2.0 \le \displaystyle{\frac{\theta}{k \zeta_s}} \le 2.0 \) Style: CFD solid line EFD open circles 

2.102C5  Time histories of total resistance coefficient (\(C_T\)), heave motion (\(z / \zeta_s\)) and pitch angle (\(\theta / k \zeta_s \)), which are reconstructed from the Fourier Series (not the raw signals) (test condition 5) 
Refer to sample file for details  Filename: [Identifier]_CT_This_C5_210.png ( for \(C_T\) ) [Identifier]_heave_This_C5_210.png ( for \(z / \zeta_s \) ) [Identifier]_pitch_This_C5_210.png ( for \(\theta / k \zeta_s \) ) Xaxis range: \( 0.0 \le \displaystyle{\frac{t}{T_e}} \le 1.0 \) Yaxis range: \( 0.040 \le C_T \le 0.050 \) \( 2.0 \le \displaystyle{\frac{z}{\zeta_s}} \le 2.0 \) \( 2.0 \le \displaystyle{\frac{\theta}{k \zeta_s}} \le 2.0 \) Style: CFD solid line EFD open circles 
Note: a positive (+) sinkage value is defined upwards and a positive (+) trim value is defined bow up.
Submission Instructions:
All quantities are nondimensionalized by denstiy of water (\(\rho\)), ship speed (\(U\)), and length between parpendiculars (\(L_{PP}\)): \begin{align*} F_r = \frac{U}{\sqrt{g \cdot L_{PP}}}, \quad R_e = \frac{U \cdot L_{PP}}{\nu} \tag{1} \end{align*} where \(g\) is the gravitational acceleration and \(\nu\) is the kinematic viscosity.
As a time reference, incident wave height at FP of the ship is defined as
\begin{align*}
\zeta_T (t) = \frac{\zeta_s}{L_{PP}} \cos ( 2 \pi f_e t + \gamma_I ) \tag{3}
\end{align*}
\(\gamma_I\) is the initial phase and is equal to be zero from the present definition of \(t=0\) below.
Fourier series for time history \(X\) (\(X=C_T\), \(z\), \(\theta\), and \(\zeta_T\)) are determined as follows:
\begin{align*}
X_F (t) &= \frac{X_0}{2} + \sum_{n=1}^N X_n \cos ( 2 n \pi f_e t + \Delta \gamma_n ) \tag{4}\\
\Delta \gamma_n &= \gamma_n  \gamma_I \tag{5}\\
a_n &= \frac{2}{T_e} \int_0^{T_e} X(t) \cos ( 2 n \pi f_e t ) dt \quad ( n = 0, 1, 2, \cdots ) \tag{6}\\
b_n &= \frac{2}{T_e} \int_0^{T_e} X(t) \sin ( 2 n \pi f_e t ) dt \quad ( n = 1, 2, \cdots ) \tag{7}\\
X_n &= \sqrt{ {a_n}^2 + {b_n}^2 } \tag{8}\\
\gamma_n &= tan^{1} \left(  \frac{b_n}{a_n} \right) \tag{9}
\end{align*}
\(X_n\) is nth harmonic amplitude and \(\gamma_I\) is the corresponding phase.