TECHNICAL NOTES
May 1, 1986

Open Boundary Condition in Parabolic Equation Method

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 3

Abstract

Transmitting lateral boundary conditions are derived for application to unidirectional wave trains in the parabolic equation method. A form of the condition is derived which is numerically exact for situations where Snell's law holds, and solutions for shoaling and refraction preserve the exact solution of the governing equation.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Austin, D. I., and Bettess, P., “Longshore Boundary Conditions for Numerical Wave Models,” International Journal for Numerical Methods in Fluids, Vol. 2, 1982, pp. 263–276.
2.
Kirby, J. T., “Propagation of Weakly‐Nonlinear Surface Water Waves in Regions with Varying Depth and Currents,” Research Report CE‐83‐37, Department of Civil Engineering, Univ. of Delaware, 1983.
3.
Kirby, J. T., “Higher‐Order Approximations in the Parabolic Equation Method for Water Waves,” Journal of Geophysical Research, Vol. 91, 1986, pp. 933–952.
4.
Kirby, J. T., and Dalrymple, R. A., “A Parabolic Equation for the Combined Refraction‐Diffraction of Stokes Waves by Mildly Varying Topography,” Journal of Fluid Mechanics, Vol. 136, 1983, pp. 453–466.
5.
Kirby, J. T., and Dalrymple, R. A., “Verification of a Parabolic Equation for Propagation of Weakly‐Nonlinear Waves,” Coastal Engineering, Vol. 8, 1984, pp. 219–232.
6.
Smith, W. D., “A Nonreflecting Plane Boundary for Wave Propagation Problems,” Journal of Computational Physics, Vol. 15, 1974, pp. 492–503.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112Issue 3May 1986
Pages: 460 - 465

History

Published online: May 1, 1986
Published in print: May 1986

Permissions

Request permissions for this article.

Authors

Affiliations

James T. Kirby, A. M. ASCE
Asst. Prof., Coastal and Oceanographic Engrg. Dept., Univ. of Florida, Gainesville, FL 32611

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share