3.3 Mathematical model
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Statutory Documents - IMO Publications and Documents - Circulars - Maritime Safety Committee - MSC/Circular.1053 – Explanatory Notes to the Standards for Ship Manoeuvrability – (Adopted on 16 December 2002) - Annex - Explanatory Notes to the Standards for Ship Manoeuvrability - Chapter 3 - Prediction Guidance - 3.3 Mathematical model

3.3 Mathematical model

 A "mathematical model" is a set of equations which can be used to describe the dynamics of a manoeuvring ship. But it may be possible to predict the manoeuvrability for the conventional ship’s form with certain accuracy from the practical point of view using some mathematical models which have already been published. In this section, the method used to predict the manoeuvring performance of a ship at full load for comparison with the Standards is explained. The following details of the mathematical model are to be indicated:

  • .1 when and where to use;

  • .2 how to use;

  • .3 accuracy level of predicted results; and

  • .4 description of mathematical model

Parent topic: Chapter 3 - Prediction Guidance

3.3.1 Application of the mathematical model

  3.3.1.1 In general, the manoeuvring performance of the ship must be checked by a sea trial to determine whether it satisfies the manoeuvring standards or not. The Standards are regulated in full load condition from the viewpoints of marine safety. Consequently, it is desired that the sea trial for any ship be carried out in full load condition. This may be a difficult proposition for ships like a dry cargo ship, for which the sea trial is usually carried out in ballast or heavy ballast conditions from the practical point of view.

  3.3.1.2 In such cases, it will be required to predict the manoeuvring performance in full load condition by means of some method that uses the results of the sea trial. As an alternative to scale model tests, usually conducted during the ship design phase, a numerical simulation using a mathematical model is a useful method for predicting ship manoeuvring performance in full load condition.

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