The University of Southampton
University of Southampton Institutional Repository

Time domain simulation of symmetric ship motions in waves

Ballard, E.J., Hudson, D.A., Price, W.G. and Temarel, P. (2003) Time domain simulation of symmetric ship motions in waves Transactions of the Royal Institution of Naval Architects. Part A: International Journal of Maritime Engineering, 145, (A2), pp. 89-108.

Record type: Article


A time domain mathematical model is presented for the prediction of heave and pitch motions in regular waves. In the linear model, the fluid forces and moments acting on a vessel are expressed in terms of convolution integrals, thus accounting for fluid memory effects. The required impulse response functions are obtained from transforms of frequency domain data evaluated using a three-dimensional potential flow analysis. These are referenced to both equilibrium and body fixed axis systems. Time domain simulations are performed using equations of motion referenced to both axis systems. Comparisons with frequency domain predictions show that the numerical implementation of the model referenced to a body fixed axis system is more accurate.
Subsequently, non-linear incident wave and restoring force/moment contributions are included in the mathematical model referenced to a body fixed axis system. These contributions are accounted for by considering the instantaneous underwater portion of the hull at each time step of the simulation. Predictions obtained from this partly non-linear model, for a range of wave amplitudes, are compared to both linear predictions and experimental results for two merchant ship hull forms.

Text 22505.pdf - Version of Record
Restricted to Repository staff only
Download (2MB)

More information

Published date: 2003


Local EPrints ID: 22505
ISSN: 1479-8751
PURE UUID: 07bcf9e4-5478-427f-809f-ec795ced2e94
ORCID for D.A. Hudson: ORCID iD
ORCID for P. Temarel: ORCID iD

Catalogue record

Date deposited: 24 Mar 2006
Last modified: 20 Oct 2017 16:32

Export record


Author: E.J. Ballard
Author: D.A. Hudson ORCID iD
Author: W.G. Price
Author: P. Temarel ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.