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OrcaFlex Manual - Orcina

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161<br />

Theory, Vessel Theory<br />

Notes: In these tables, the translational amplitudes are non-dimensionalised against wave amplitude and<br />

the rotational amplitudes are non-dimensionalised against maximum wave slope.<br />

The phases given are lags relative to the wave crest so that +90° means that the maximum positive<br />

motion occurs 90° after the wave crest passes the vessel. In these tables we use the conventions of<br />

positive surge is forward, positive sway is to port, positive heave is up, positive roll is starboard<br />

down, positive pitch is bow down and positive yaw is bow to port.<br />

When the amplitude is zero the phase value is irrelevant; this is indicated in the tables by '~' .<br />

You can check RAOs in two ways. First, <strong>OrcaFlex</strong> provides RAO graphs that help spot errors, see Checking RAOs.<br />

Second, you can run quick simulations with only the vessel in the model and then check that the motions you see are<br />

sensible.<br />

Consider a ship in waves coming from ahead. Set up a simple <strong>OrcaFlex</strong> model with the vessel only – nothing else –<br />

set the vessel's primary motion to None, secondary motion to RAOs + Harmonic, and run a short simulation (say 10<br />

seconds build up plus 2 wave periods). Use a large wave height (20m) and long time step – say 0.05 seconds for both<br />

inner and outer time steps. When the run is finished (a few seconds only for such a trivial case) replay the last wave<br />

period and watch to see whether the motion of the ship is realistic. The best view direction is horizontal, normal to<br />

the direction of travel of the waves. With the waves coming from the right on screen, then in the wave crest the ship<br />

should be at maximum heave up and moving to the left, and vice versa in the trough. At the point of maximum wave<br />

slope as the crest approaches, the ship should be at maximum surge forwards into the wave and maximum pitch<br />

angle with the bow up. If the phase convention has been misunderstood (e.g. leads have been read as lags) then the<br />

motion is obviously wrong and you should go back and re-examine the data, or confirm your interpretation with the<br />

data source.<br />

This is an excellent check for phases, which are usually the most troublesome to get right. It is not quite so good for<br />

amplitudes, but it is nevertheless worth pursuing. If the wave is very long compared to the ship, then the ship should<br />

move like a small particle in the water surface. Heave amplitude should be equal to wave amplitude and pitch<br />

motion should keep the deck of the ship parallel to the water surface. Surge amplitude should also be equal to wave<br />

amplitude in deep water, but will be greater in shallow water in which the wave particle orbits are elliptical.<br />

The check can be extended to other wave directions. Broadly speaking, we may expect the motion to be<br />

predominantly in the wave direction, with the phasing of surge and sway such that the components in the wave<br />

direction reinforce each other. Similarly, roll and pitch phasing should be such that the components of rotation<br />

about an axis normal to the wave direction reinforce each other. Yaw phasing for a ship in seas off the bow should<br />

be such that the ship yaws towards the broadside on position as the wave crest passes: this is easiest to see in a<br />

near-plan view. Generally speaking, if it looks right in long waves, it probably is right. If not, then think again!<br />

Wave Load RAOs<br />

Since we can relate wave load RAOs to displacement RAOs, we can similarly determine the long-wave limit for wave<br />

load RAOs. <strong>OrcaFlex</strong> does this for the RAO graphs to facilitate checking wave load RAOs.<br />

The simple model-building exercise described above also works well for wave load RAOS: just set primary motion to<br />

Calculated (6 DOF), superimposed motion to None.<br />

Note: You may need to run a longer simulation, with smaller time steps, for calculated vessel motion than<br />

for displacement RAOs, to allow the model to 'settle down'.<br />

5.11.4 Current and Wind Loads<br />

These loads are an important source of damping when modelling vessel slow drift. For a discussion of the various<br />

damping sources see Damping Effects on Vessel Slow Drift.<br />

The current and wind drag loads on a vessel are calculated using the data specified on the Current and Wind Load<br />

pages on the vessel type data form. The loads are split into those due to translational relative velocity and yaw rate.<br />

Drag Loads due to Translational Relative Velocity<br />

The drag loads due to translational velocity of the sea and air past the vessel are calculated using the standard<br />

OCIMF method, which is outlined below. For further details see Oil Companies International Marine Forum, 1994.<br />

The OCIMF method calculates the surge, sway and yaw drag loads on a stationary vessel. <strong>OrcaFlex</strong> extends this to a<br />

moving vessel by replacing the current (or wind) velocity used in the OCIMF method with the relative translational<br />

velocity of the current (or wind) past the vessel.

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