TECHNICAL NOTES
Jan 1, 1993

Stream Function Wave Theory with Profile Constraints

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119, Issue 1

Abstract

Numerical stream function wave theory with inclusion of inequality profile constraints is presented in this paper. This theory is applicable to waves in shallow to intermediate to deep waters with a coflowing Eulerian current or Stokes mass flux. Numerical algorithm is modified and expanded from previous code with two equality profile constraints, while the changes are kept to a minimum; i.e., the system unknowns are still solved in a least‐squares approximation to a transformed penalty function. This modified numerical stream function wave theory avoids the invalid triple‐crested wave predictions in shallow waters, while its solution characteristics in intermediate to deep waters remain the same as the previous least‐squares algorithms.

Get full access to this article

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

References

1.
Dalrymple, R. A. (1974). “A finite amplitude wave on a linear shear current.” J. Geophys. Res., 79, 4498–4504.
2.
Dalrymple, R. A., and Solana, P. (1986). “Nonuniqueness in stream function wave theory.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 112(2), 333–337.
3.
Dean, R. G. (1965). “Stream function representation of nonlinear ocean waves.” J. Geophys. Res., 70, 4561–4572.
4.
Huang, M.‐C., and Hudspeth, R. T. (1984). “Stream function solutions for steady water waves.” Continental Shelf Res., 3(2), 175–190.
5.
Huang, M.‐C. (1990). “Kinematic predictions by Stokes and Fourier wave theories.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 116(1), 137–148.
6.
Reklaitis, G. V., Ravindran, A., and Ragsdell, K. M. (1983). Engineering optimization. John Wiley & Sons, Inc., New York, N.Y., 238–242.
7.
Rienecker, M. M., and Fenton, J. D. (1981). “A Fourier approximation method for steady water waves.” J. Fluid Mech., 104, 119–137.
8.
Sobey, R. J., Goodwin, P., Thieke, R. J., and Westberg, R. J., Jr. (1987). “Application of Stokes, Cnoidal, and Fourier wave theories.” J. Wtrway., Port, Coast., and Oc. Engrg., ASCE, 113(6), 565–587.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119Issue 1January 1993
Pages: 106 - 111

History

Received: Mar 17, 1992
Published online: Jan 1, 1993
Published in print: Jan 1993

Permissions

Request permissions for this article.

Authors

Affiliations

Min‐Chih Huang, Member, ASCE
Prof., Dept. of Naval Arch. and Marine Engrg., Nat. Cheng Kung Univ., Tainan, Taiwan 70101, R.O.C.
Jia‐Yuan Chen
Assoc. Res., Energy and Resour. Lab., Indust. Tech. Res. Inst., Chutung, Taiwan 31015, R.O.C.

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.

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