# Numerical Simulation of Wave Motions in a Channel of Constant Depth

Numerical Simulation of Wave Motions in a Channel of Constant Depth In the present work, we study the accuracy of description of wave motions with the help of a numerical model for a basin of simple geometry (a channel of constant depth). To specify initial and boundary conditions and perform the comparison with the results of numerical simulations, we use analytic solutions of the differential and finite-difference problems. We consider two types of water: homogeneous and stratified. The procedure of numerical integration is carried out for a period equal to several dozens of wave periods. In the case of application of the analytic solution of the discrete problem, the accuracy of the numerical solution is very high for the entire period of computations. It is shown that the proposed numerical model satisfactorily describes wave motions and can be used for the description of geophysical processes in the regions of the World Ocean where the role played by the wave motions is significant. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Oceanography Springer Journals

# Numerical Simulation of Wave Motions in a Channel of Constant Depth

10 pages

/lp/springer-journals/numerical-simulation-of-wave-motions-in-a-channel-of-constant-depth-oyyuuwWIBI
Publisher site
See Article on Publisher Site

### Abstract

In the present work, we study the accuracy of description of wave motions with the help of a numerical model for a basin of simple geometry (a channel of constant depth). To specify initial and boundary conditions and perform the comparison with the results of numerical simulations, we use analytic solutions of the differential and finite-difference problems. We consider two types of water: homogeneous and stratified. The procedure of numerical integration is carried out for a period equal to several dozens of wave periods. In the case of application of the analytic solution of the discrete problem, the accuracy of the numerical solution is very high for the entire period of computations. It is shown that the proposed numerical model satisfactorily describes wave motions and can be used for the description of geophysical processes in the regions of the World Ocean where the role played by the wave motions is significant.

### Journal

Physical OceanographySpringer Journals

Published: Dec 20, 2004

## 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
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 folders to

Export folders, citations