# Fluid Dynamics and Ship Motion

• Antonio Romano
Chapter
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

## Abstract

This chapter is a brief introduction to the very difficult problem of ship motion. The difficulties of this problem are due to the many factors determining the behavior of a ship during the navigation: the form of the ship, the sea waves, the wind action, etc. After introducing the roll, pitch, and yaw angles, many fundamental kinematic relations are determined. Then, the dynamical equations are proposed starting from dynamics of rigid bodies. A section is dedicated to the analysis of the forces acting on the ship. Since the nonlinear problem posed by these equations is very difficult to solve, small motions are considered which lead to linear differential equations. All the forces and momenta, describing the actions of weight, buoyant force, the interaction between ship and sea, are taken into account. In order to evaluate all the terms appearing in the motion equations, it is necessary to consider the effects produced by waves propagating on the free surface of the sea. To the analysis of the wave propagation on the free surface are dedicated the last sections of the chapter.

## Keywords

Buoyant Force Free Boundary Problem Body Frame Pitch Motion Simple Wave
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Authors and Affiliations

• Antonio Romano
• 1
• 1
1. 1.Department of Mathematics and Applications “R. Caccioppoli”University of Naples Federico IINaplesItaly