Random wave-current interactions in water of varying depth

M. A. Tayfun; R. A. Dalrymple; C. Y. Yang

doi:10.1016/0029-8018(76)90014-7

Random wave-current interactions in water of varying depth

M. A. Tayfun, R. A. Dalrymple, C. Y. Yang^*

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

Refraction of incoherent random gravity waves with currents and bottom topography results in spatial variations in the spectral characteristics of the free surface. Prediction of such variations based on the radiation transfer equation is in a simple analytic form for the case of one dimensional inhomogeneities in currents and topography. This analytic form is examined in terms of two-dimensional wave number- and polar frequency-direction spectra along the associated dynamic and kinematic constraints relevant to wave breaking and reflection. Results are specialized to the simplest case of horizontal shear currents in deep and shallow water with explicit examples to illustrate the relative and combined effects of currents and topography on free surface spectra.

Original language	English (US)
Pages (from-to)	403-420
Number of pages	18
Journal	Ocean Engineering
Volume	3
Issue number	6
DOIs	https://doi.org/10.1016/0029-8018(76)90014-7
State	Published - Dec 1976

ASJC Scopus subject areas

Environmental Engineering
Ocean Engineering

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10.1016/0029-8018(76)90014-7

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title = "Random wave-current interactions in water of varying depth",

abstract = "Refraction of incoherent random gravity waves with currents and bottom topography results in spatial variations in the spectral characteristics of the free surface. Prediction of such variations based on the radiation transfer equation is in a simple analytic form for the case of one dimensional inhomogeneities in currents and topography. This analytic form is examined in terms of two-dimensional wave number- and polar frequency-direction spectra along the associated dynamic and kinematic constraints relevant to wave breaking and reflection. Results are specialized to the simplest case of horizontal shear currents in deep and shallow water with explicit examples to illustrate the relative and combined effects of currents and topography on free surface spectra.",

author = "Tayfun, {M. A.} and Dalrymple, {R. A.} and Yang, {C. Y.}",

note = "Funding Information: Acknowledgements--Financial support for this work was provided by the Geography Programs of the Office of Naval Research under contract No. N0014-76-C-0412 with the University of Delaware. The authors gratefully acknowledge the helpful comments by the referees and R. G. Dean.",

year = "1976",

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doi = "10.1016/0029-8018(76)90014-7",

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T1 - Random wave-current interactions in water of varying depth

AU - Tayfun, M. A.

AU - Dalrymple, R. A.

AU - Yang, C. Y.

N1 - Funding Information: Acknowledgements--Financial support for this work was provided by the Geography Programs of the Office of Naval Research under contract No. N0014-76-C-0412 with the University of Delaware. The authors gratefully acknowledge the helpful comments by the referees and R. G. Dean.

PY - 1976/12

Y1 - 1976/12

N2 - Refraction of incoherent random gravity waves with currents and bottom topography results in spatial variations in the spectral characteristics of the free surface. Prediction of such variations based on the radiation transfer equation is in a simple analytic form for the case of one dimensional inhomogeneities in currents and topography. This analytic form is examined in terms of two-dimensional wave number- and polar frequency-direction spectra along the associated dynamic and kinematic constraints relevant to wave breaking and reflection. Results are specialized to the simplest case of horizontal shear currents in deep and shallow water with explicit examples to illustrate the relative and combined effects of currents and topography on free surface spectra.

AB - Refraction of incoherent random gravity waves with currents and bottom topography results in spatial variations in the spectral characteristics of the free surface. Prediction of such variations based on the radiation transfer equation is in a simple analytic form for the case of one dimensional inhomogeneities in currents and topography. This analytic form is examined in terms of two-dimensional wave number- and polar frequency-direction spectra along the associated dynamic and kinematic constraints relevant to wave breaking and reflection. Results are specialized to the simplest case of horizontal shear currents in deep and shallow water with explicit examples to illustrate the relative and combined effects of currents and topography on free surface spectra.

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JO - Ocean Engineering

JF - Ocean Engineering

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Random wave-current interactions in water of varying depth

Abstract

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