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.
| Original language | English (US) |
|---|---|
| Title of host publication | Twenty First Coastal Eng Conf |
| Publisher | Publ by ASCE |
| Pages | 492-504 |
| Number of pages | 13 |
| ISBN (Print) | 0872626873 |
| State | Published - 1988 |
| Externally published | Yes |
| Event | Twenty-First Coastal Engineering Conference - Costa del Sol, Malaga, Spain Duration: Jun 20 1988 → Jun 25 1988 |
Other
| Other | Twenty-First Coastal Engineering Conference |
|---|---|
| City | Costa del Sol, Malaga, Spain |
| Period | 6/20/88 → 6/25/88 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
Spectral wave attenuation by bottom friction : theory. / Madsen, Ole Secher; Poon, Ying Keung; Graber, Hans C.
Twenty First Coastal Eng Conf. Publ by ASCE, 1988. p. 492-504.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Spectral wave attenuation by bottom friction
T2 - theory
AU - Madsen, Ole Secher
AU - Poon, Ying Keung
AU - Graber, Hans C
PY - 1988
Y1 - 1988
N2 - 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.
AB - 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.
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M3 - Conference contribution
SN - 0872626873
SP - 492
EP - 504
BT - Twenty First Coastal Eng Conf
PB - Publ by ASCE
ER -