Case 2.4

Conditions:

· With rudder

· Towing condition in head waves

· FR_zθ

·Four combined test conditions:

Condition No.	C1	C2	C3	C4
Speed (m/s)	1.701	1.701	1.701	2.151
Froude number (Fr)	0.26	0.26	0.26	0.33
Reynolds number (Re)	6.52×10^6	6.52×10^6	6.52×10^6	8.27×10^6
wave length λ/LPP	0.50	1.15	2.00	1.33
wave height Hs (mm)	36	84	146	97

Note: The wave heights given are the nominal ones. The achieved wave heights might differ slightly. New tests will be carried out shortly and the achieved heights will be presented thereafter. The heave and pitch motions are given at mid-ship position (Lpp/2) and the wave crest is at mid-ship at t=0.

References:

Not yet available.

Table/ Figure #	Items	EFD Data		Submission Instructions
		Data File	Image	Table/Image File	Sample + Tecplot layout file
2.4-1	Comparison of: total resistance coefficient (CT)- 0th, 1st, 2nd, 3rd harmonic amplitudes and 1st, 2nd, 3rd harmonic phases; heave motion (z) and pitch angle (θ)- 0th and 1st harmonic amplitudes and 1st harmonic phase wave amplitude (ζ)- 1st harmonic amplitudes	Refer to sample file for details		Filename: [Identifier]_4conditions_2-4.xls  (Excel file)	[Identifier]_4conditions_2-4.xls
2.4-2-C1	Time histories of total resistance coefficient (CT), heave motion (z) and pitch angle (θ) (test condition 1)	Not yet available	Not yet available	Filename: [Identifier]_CT_T-his_C1_2-4.jpg ( for CT ) [Identifier]_heave_T-his_C1_2-4.jpg ( for z ) [Identifier]_pitch_T-his_C1_2-4.jpg ( for θ ) X-axis range:  0.0 ≤ t(s) ≤ 10.0 Y-axis range: to be added Style:    CFD solid line EFD open circles	Not yet available
2.4-2-C2	Time histories of total resistance coefficient (CT), heave motion (z) and pitch angle (θ) (test condition 2)	CT_time_history_EFD_C2.dat heave_time_history_EFD_C2.dat pitch_time_history_EFD_C2.dat	Refer to sample file for details	Filename: [Identifier]_CT_T-his_C2_2-4.jpg ( for CT ) [Identifier]_heave_T-his_C2_2-4.jpg ( for z ) [Identifier]_pitch_T-his_C2_2-4.jpg ( for θ ) X-axis range:  0.0 ≤ t(s) ≤ 10.0 Y-axis range:  -0.050 ≤ CT ≤ 0.050; -0.10 ≤ z ≤ 0.10; -5.0 ≤ θ ≤ 5.0 Style:    CFD solid line EFD open circles	[Identifier]_CT_T-his_C2_2-4.jpg [Identifier]_heave_T-his_C2_2-4.jpg [Identifier]_pitch_T-his_C2_2-4.jpg CT_T-his_C2_2-4.lpk heave_T-his_C2_2-4.lpk pitch_T-his_C2_2-4.lpk
2.4-2-C3	Time histories of total resistance coefficient (CT), heave motion (z) and pitch angle (θ) (test condition 3)	CT_time_history_EFD_C3.dat heave_time_history_EFD_C3.dat pitch_time_history_EFD_C3.dat	Refer to sample file for details	Filename: [Identifier]_CT_T-his_C3_2-4.jpg ( for CT ) [Identifier]_heave_T-his_C3_2-4.jpg ( for z ) [Identifier]_pitch_T-his_C3_2-4.jpg ( for θ ) X-axis range:  0.0 ≤ t(s) ≤ 10.0 Y-axis range:  -0.15 ≤ CT ≤ 0.15; -0.16 ≤ z ≤ 0.16; -8.0 ≤ θ ≤ 8.0 Style:    CFD solid line EFD open circles	[Identifier]_CT_T-his_C3_2-4.jpg [Identifier]_heave_T-his_C3_2-4.jpg [Identifier]_pitch_T-his_C3_2-4.jpg CT_T-his_C3_2-4.lpk heave_T-his_C3_2-4.lpk pitch_T-his_C3_2-4.lpk
2.4-2-C4	Time histories of total resistance coefficient (CT), heave motion (z) and pitch angle (θ) (test condition 4)	CT_time_history_EFD_C4.dat heave_time_history_EFD_C4.dat pitch_time_history_EFD_C4.dat	Refer to sample file for details	Filename: [Identifier]_CT_T-his_C4_2-4.jpg ( for CT ) [Identifier]_heave_T-his_C4_2-4.jpg ( for z ) [Identifier]_pitch_T-his_C4_2-4.jpg ( for θ ) X-axis range:  0.0 ≤ t(s) ≤ 10.0 Y-axis range:  -0.08 ≤ CT ≤ 0.08; -0.15 ≤ z ≤ 0.15; -6.0 ≤ θ ≤ 6.0 Style:    CFD solid line EFD open circles	[Identifier]_CT_T-his_C4_2-4.jpg [Identifier]_heave_T-his_C4_2-4.jpg [Identifier]_pitch_T-his_C4_2-4.jpg CT_T-his_C4_2-4.lpk heave_T-his_C4_2-4.lpk pitch_T-his_C4_2-4.lpk

Note: A positive (+) heave value is defined upwards and a positive (+) pitch value is defined bow up.

Submission Instructions: 

· Filename: [Identifier]_4conditions_2-4.xls   (Excel file)

· [Identifier] should be [Institute Name]-[Solver Name]. For example, if your institute is Chalmers and solver is SHIPFLOW4.2, identifier should be Chalmers-SHIPFLOW4.2

Identifier in the Figure should be [Institute Name]/[Solver Name]. For example, if your institute is Chalmers and solver is SHIPFLOW4.2, identifier should be Chalmers/SHIPFLOW4.2

· Sample files:         Chalmers-SHIPFLOW4.2_4conditions_2-4.xls

· All figures should have aspect ratio of 1:1

Remarks:

· Coordinate system for comparisons is fixed to x=0.0 (FP) on the undisturbed water plane.

· The center of the pitching moment is same as the center of gravity.

· All CFD predicted force coefficients should be reported using the wetted surface area at rest ( S₀/L² ). Force coefficients are defined as follows:

where is the total resistance.

· Symbols:

- Incident wave amplitude

- Wave steepness,

- Frequency of the incident wave,

- Encounter frequency,

- Encounter period,

- Time, at t=0 a crest of the incident wave is coincident at mid-ship

- Ship speed

- Velocity components in directions, respectively

- Incident wave length

- Free surface elevation,

· Instructions:

As a time reference, incident wave height at FP of the ship is defined as

where is the initial phase and is equal to be zero from the present definition of above.
Fourier Series for time history are determined as follows:

is n-th harmonic amplitude and is the corresponding phase.