Verification of ship collision frequency model

Ship collisions are one of the most common types of maritime accidents. Assessing the frequency and probability of ship collisions is of great importance as it provides a cost-effective and practical way to mitigate risk. In this paper, we present a review of quantitative ship collision frequency estimation models for waterway risk assessment, accompanied by a classification of the models and a description of their main modelling characteristics. Models addressing the macroscopic perspective in the estimation of ship collision frequency on waterways are reviewed in this paper with a total of 29 models. We extend the existing classification methodology and group the collected models accordingly. Special attention is given to the criteria used to detect potential ship collision candidates, as well as to causation probability and the correlation of models with real ship collision statistics. Limitations of the existing models and future improvement possibilities are discussed. The paper can be used as a guide to understanding current achievements in this field.

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The Effects of Human Factors on Ship Collision Frequency

10.3940/rina.hf.2011.09 ◽

2011 ◽

Author(s):

M Hanninen ◽

◽

M Ladan ◽

P Kujala ◽

J Storgard ◽

...

Keyword(s):

Human Factors ◽

Collision Frequency ◽

Ship Collision

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Kramers' problem for a variable collision frequency model

European Journal of Applied Mathematics ◽

10.1017/s0956792501004491 ◽

2001 ◽

Vol 12 (2) ◽

pp. 179-191 ◽

Cited By ~ 14

Author(s):

C. E. SIEWERT

Keyword(s):

Gas Dynamics ◽

Rarefied Gas ◽

Collision Frequency ◽

Discrete Ordinates ◽

Rigid Sphere ◽

Sphere Model ◽

Bgk Model ◽

Frequency Model ◽

Change Of Variables ◽

Kramers Problem

The often-studied problem known as Kramers' problem, in the general area of rarefied-gas dynamics, is investigated in terms of a linearized, variable collision frequency model of the Boltzmann equation. A convenient change of variables is used to reduce the general case considered to a canonical form that is well suited for analysis by analytical and/or numerical methods. While the general formulation developed is valid for an unspecified collision frequency, a recently developed version of the discrete-ordinates method is used to compute the viscous-slip coefficient and the velocity defect in the Knudsen layer for three specific cases: the classical BGK model, the Williams model (the collision frequency is proportional to the magnitude of the velocity) and the rigid-sphere model.

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