# Analytical models of hydrodynamic pressure field causing by a moving ship in restricted waterways

Analytical models of hydrodynamic pressure field causing by a moving ship in restricted waterways Based on the potential flow theory, a linear shallow-water wave equation which satisfies Laplace equation, free surface and seabed boundary conditions is established. For the slender ship assumption, boundary conditions of different restricted waterways and continuous matched condition across the step depth change between inner and outer regions, these mathematical problems of sub-subcritical, sub-supercritical, and super-supercritical mixed flows are solved analytically by using Fourier integral transform method, meanwhile, analytical models for ship hydrodynamic pressure field in different restricted waterways such as open water, rectangular canal, dredged channel and stepped canal are established. The characteristics of ship hydrodynamic pressure field in different restricted waterways and mixed flows are obtained by numerical calculation, the influences of sidewall or step on SHPF are analyzed. The analytical models are verified by the comparison between the calculated results with the experimental ones as well as the successful degeneration from complex models to simple ones. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Ocean Engineering Elsevier

# Analytical models of hydrodynamic pressure field causing by a moving ship in restricted waterways

Ocean Engineering, Volume 108 – Nov 1, 2015
8 pages

/lp/elsevier/analytical-models-of-hydrodynamic-pressure-field-causing-by-a-moving-t4jUku2vZ4
Publisher
Elsevier
ISSN
0029-8018
eISSN
1873-5258
D.O.I.
10.1016/j.oceaneng.2015.08.046
Publisher site
See Article on Publisher Site

### Abstract

Based on the potential flow theory, a linear shallow-water wave equation which satisfies Laplace equation, free surface and seabed boundary conditions is established. For the slender ship assumption, boundary conditions of different restricted waterways and continuous matched condition across the step depth change between inner and outer regions, these mathematical problems of sub-subcritical, sub-supercritical, and super-supercritical mixed flows are solved analytically by using Fourier integral transform method, meanwhile, analytical models for ship hydrodynamic pressure field in different restricted waterways such as open water, rectangular canal, dredged channel and stepped canal are established. The characteristics of ship hydrodynamic pressure field in different restricted waterways and mixed flows are obtained by numerical calculation, the influences of sidewall or step on SHPF are analyzed. The analytical models are verified by the comparison between the calculated results with the experimental ones as well as the successful degeneration from complex models to simple ones.

### Journal

Ocean EngineeringElsevier

Published: Nov 1, 2015

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just \$49/month

### Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

### Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

### Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

### Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

DeepDyve

DeepDyve

### Pro

Price

FREE

\$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations