Modified Extended Hyperbolic Mild-Slope Equations

Article Preview

Abstract:

A form of hyperbolic mild-slope equations extended to account for rapidly varying topography, nonlinear dispersion relation, wind input and energy dissipation during the process of wave propagation, has been derived from the mild-slope equation modified first in this paper. With the inclusion of the input of wind energy, the resultant model can be applied in some areas where the effect of wind could not be neglected. The wave-breaking mechanism which will cause energy dissipation remarkably, as well as the bottom friction, is introduced and discussed during this derivation. Since the modifying factors have taken plenty of aspects into consideration, the extended equations hold enlarged application and increased accuracy.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

995-999

Citation:

Online since:

February 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Berkhoff J C W. Computation of combined refraction-diffraction[C]/Proc. 13th Int. Conf. on Coastal Eng., ASCE. 1972: 471-490.

DOI: 10.9753/icce.v13.23

Google Scholar

[2] Copeland G J M. A practical alternative to the mild-slope wave equation[J]. Coastal Engineering, 1985, 9: 125-149.

DOI: 10.1016/0378-3839(85)90002-x

Google Scholar

[3] Lee C, Park WS, Cho Y S, et al. Hyperbolic mild-slope equations extended to account for rapidly varying topography[J]. Coastal Eng-ineering, 1998, 34: 243-257.

DOI: 10.1016/s0378-3839(98)00028-3

Google Scholar

[4] Jin H, Zhou Z L. Hyperbolic mild slope equations with inclusion of amplitude dispersion effect: regular waves[J]. China Ocean Eng-ineering, 2008, 22(3): 431-444.

Google Scholar

[5] Jun-ning PAN, Guang-wen HONG, Qi-hua ZUO. An extended mild-slope equation[J]. OCEAN ENGINEERING, 2001, 19(1): 24-31.

Google Scholar

[6] Suh K D, Lee C, Park W S. Time-dependent equations for wave propagation on rapidly varying topography[J]. Coastal Engineering, 1997, 32: 91-117.

DOI: 10.1016/s0378-3839(97)81745-0

Google Scholar

[7] Kirby J T, Dalrymple R A. An approximate model for nonlinear dispersion in monochromatic wave propagation models[J]. Coastal Eng., 1986, (9): 545-561.

DOI: 10.1016/0378-3839(86)90003-7

Google Scholar

[8] Kirby J T, Dolrymple R A. A parabolic equation for the combined refraction-diffraction of stokes waves by mildly varying topography[J]. Fluid Mech., 1983, 163: 453-466.

DOI: 10.1017/s0022112083002232

Google Scholar