SPECTRAL WAVE ATTENUATION BY BOTTOM FRICTION: THEORY

Ole Secher Madsen; Ying-Keung Poon; Hans C. Graber

doi:10.9753/icce.v21.34

No. 21 (1988), Conference Proceedings

No. 21 (1988)

SPECTRAL WAVE ATTENUATION BY BOTTOM FRICTION: THEORY

Conference Proceedings

Published 1988-01-29

Ole Secher Madsen⁺⁻
Ying-Keung Poon⁺⁻
Hans C. Graber⁺⁻

Ole Secher Madsen

Civil Engineering, R. M. Parsons Laboratory, MIT

Ying-Keung Poon

Civil Engineering, R. M. Parsons Laboratory, MIT

Hans C. Graber

Woods Hole Oceanographic Institution

PDF

Keywords

bottom friction
friction theory
wave attenuation
spectral wave

How to Cite

SPECTRAL WAVE ATTENUATION BY BOTTOM FRICTION: THEORY. (1988). Coastal Engineering Proceedings, 1(21), 34. https://doi.org/10.9753/icce.v21.34

Abstract

Based on the linearized form of the boundary layer equations and a simple eddy viscosity formulation of shear stress, the turbulent bottom boundary layer flow is obtained for a wave motion specified by its directional spectrum. Closure is obtained by requiring the solution to reduce, in the limit, to that of a simple harmonic wave. The resulting dissipation is obtained in spectral form with a single friction factor determined from knowledge of the bottom roughness and an equivalent monochromatic wave having the same root-mean-square near-bottom orbital velocity and excursion amplitude as the specified wave spectrum. The total spectral dissipation rate is obtained by integration and compared with the average dissipation obtained from a model considering the statistics of individual waves defined by their maximum orbital velocity and zero-crossing period. The agreement between the two different evaluations of total spectral dissipation supports the validity of the spectral dissipation model.

PDF

Authors retain copyright and grant the Proceedings right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this Proceedings.

Most read articles by the same author(s)

Ole Secher Madsen, WAVES GENERATED BY A PISTON-TYPE WAVEMAKER , Coastal Engineering Proceedings: No. 12 (1970): Proceedings of 12th Conference on Coastal Engineering, Washington, D.C., 1970.
Ole Secher Madsen, SPECTRAL WAVE-CURRENT BOTTOM BOUNDARY LAYER FLOWS , Coastal Engineering Proceedings: No. 24 (1994): Proceedings of 24th Conference on Coastal Engineering, Kobe, Japan, 1994.
Ole Secher Madsen, William D. Grant, QUANTITATIVE DESCRIPTION OF SEDIMENT TRANSPORT BY WAVES , Coastal Engineering Proceedings: No. 15 (1976): Proceedings of 15th Conference on Coastal Engineering, Honolulu, Hawaii, 1976.
Peifeng Ma, Ole Secher Madsen, A 3D SEDIMENT TRANSPORT MODEL FOR COMBINED WAVE-CURRENT FLOWS , Coastal Engineering Proceedings: No. 33 (2012): Proceedings of 33rd Conference on Coastal Engineering, Santander, Spain, 2012
Peifeng Ma, Ole Secher Madsen, AN OPEN BOUNDARY CONDITION FOR APPLICATION IN NUMERICAL COASTAL MODELS , Coastal Engineering Proceedings: No. 32 (2010): Proceedings of 32nd Conference on Coastal Engineering, Shanghai, China, 2010.
Chelsea Joy Humbyrd, Ole Secher Madsen, PREDICTING MOVABLE BED ROUGHNESS IN COASTAL WATERS , Coastal Engineering Proceedings: No. 32 (2010): Proceedings of 32nd Conference on Coastal Engineering, Shanghai, China, 2010.
Ole Secher Madsen, STABILITY OF A SAND BED UNDER BREAKING WAVES , Coastal Engineering Proceedings: No. 14 (1974): Proceedings of 14th Conference on Coastal Engineering, Copenhagen, Denmark, 1974.
Kian Yew Lim, Ole Secher Madsen, Hin Fatt Cheong, CURRENT CHARACTERISTICS IN THE PRESENCE OF NEAR-ORTHOGONAL WAVES , Coastal Engineering Proceedings: No. 33 (2012): Proceedings of 33rd Conference on Coastal Engineering, Santander, Spain, 2012
David Gonzalez-Rodriguez, Ole Secher Madsen, PREDICTION OF NET BEDLOAD TRANSPORT RATES OBTAINED IN OSCILLATING WATER TUNNELS AND APPLICABILITY TO REAL SURF ZONE WAVES , Coastal Engineering Proceedings: No. 32 (2010): Proceedings of 32nd Conference on Coastal Engineering, Shanghai, China, 2010.
John R. Headland, Ying-Keung Poon, NUMERICAL MODELING OF LONG WAVE SHIP MOTIONS , Coastal Engineering Proceedings: No. 26 (1998): Proceedings of 26th Conference on Coastal Engineering, Copenhagen, Denmark, 1998.

1 2 > >>

SPECTRAL WAVE ATTENUATION BY BOTTOM FRICTION: THEORY

Keywords

How to Cite

Download Citation

Abstract

Most read articles by the same author(s)