New approaches for computing wave growth rate due to wind induced shear instabilities

S. Beji; K. Nadaoka

doi:10.1142/9789812703040_0038

New approaches for computing wave growth rate due to wind induced shear instabilities

S. Beji, K. Nadaoka

Department of Shipbuilding and Ocean Engineering

Tokyo Inst. Technol., 2-12-1 O.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

New approaches for computing the wave growth rate due to wind induced shear instabilities are presented. The first approach is based on an analytical solution of Rayleigh’s equation for arbitrary wind profiles in the vicinity of the critical point, followed by numerical integration. The wave growth rate is obtained from the dispersion relation of the air-sea interface. The results of the first approach agree perfectly well with the numerical solution of Conte and Miles (1959) for the special case of a logarithmic wind profile. The second approach assumes a definite vertical profile for the perturbed velocity field and then makes use of the air-sea dispersion relation for computing the wave growth rate. Despite the simplicity of the approximation the agreement of the second approach with the first one is quite acceptable. Comments on the future work are given in closing.

Original language	English
Title of host publication	Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference
Editors	Yoshimi Goda, Kazuo Nadaolta, Wataru Kiolta
Publisher	[publishername] World Scientific
ISBN (Print)	9789812703040
DOIs	https://doi.org/10.1142/9789812703040_0038
Publication status	Published - 2004
Event	2nd International Conference on Asian and Pacific Coasts, APAC (WITH CD-ROM) 2003 - Chiba, Japan Duration: 29 Feb 2004 → 4 Mar 2004

Publication series

Name	Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference

Conference

Conference	2nd International Conference on Asian and Pacific Coasts, APAC (WITH CD-ROM) 2003
Country/Territory	Japan
City	Chiba
Period	29/02/04 → 4/03/04

Bibliographical note

Publisher Copyright:
© 2004, World Scientific. All rights reserved.

Keywords

Rayleigh equation
Shear instabilities
Wave growth
Wind waves

Access to Document

10.1142/9789812703040_0038

Cite this

Beji, S., & Nadaoka, K. (2004). New approaches for computing wave growth rate due to wind induced shear instabilities. In Y. Goda, K. Nadaolta, & W. Kiolta (Eds.), Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference (Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference). [publishername] World Scientific. https://doi.org/10.1142/9789812703040_0038

Beji, S. ; Nadaoka, K. / New approaches for computing wave growth rate due to wind induced shear instabilities. Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference. editor / Yoshimi Goda ; Kazuo Nadaolta ; Wataru Kiolta. [publishername] World Scientific, 2004. (Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference).

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title = "New approaches for computing wave growth rate due to wind induced shear instabilities",

abstract = "New approaches for computing the wave growth rate due to wind induced shear instabilities are presented. The first approach is based on an analytical solution of Rayleigh{\textquoteright}s equation for arbitrary wind profiles in the vicinity of the critical point, followed by numerical integration. The wave growth rate is obtained from the dispersion relation of the air-sea interface. The results of the first approach agree perfectly well with the numerical solution of Conte and Miles (1959) for the special case of a logarithmic wind profile. The second approach assumes a definite vertical profile for the perturbed velocity field and then makes use of the air-sea dispersion relation for computing the wave growth rate. Despite the simplicity of the approximation the agreement of the second approach with the first one is quite acceptable. Comments on the future work are given in closing.",

keywords = "Rayleigh equation, Shear instabilities, Wave growth, Wind waves",

author = "S. Beji and K. Nadaoka",

note = "Publisher Copyright: {\textcopyright} 2004, World Scientific. All rights reserved.; 2nd International Conference on Asian and Pacific Coasts, APAC (WITH CD-ROM) 2003 ; Conference date: 29-02-2004 Through 04-03-2004",

year = "2004",

doi = "10.1142/9789812703040_0038",

language = "English",

isbn = "9789812703040",

series = "Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference",

publisher = "[publishername] World Scientific",

editor = "Yoshimi Goda and Kazuo Nadaolta and Wataru Kiolta",

booktitle = "Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference",

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Beji, S & Nadaoka, K 2004, New approaches for computing wave growth rate due to wind induced shear instabilities. in Y Goda, K Nadaolta & W Kiolta (eds), Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference. Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference, [publishername] World Scientific, 2nd International Conference on Asian and Pacific Coasts, APAC (WITH CD-ROM) 2003, Chiba, Japan, 29/02/04. https://doi.org/10.1142/9789812703040_0038

New approaches for computing wave growth rate due to wind induced shear instabilities. / Beji, S.; Nadaoka, K.
Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference. ed. / Yoshimi Goda; Kazuo Nadaolta; Wataru Kiolta. [publishername] World Scientific, 2004. (Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - New approaches for computing wave growth rate due to wind induced shear instabilities

AU - Beji, S.

AU - Nadaoka, K.

PY - 2004

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N2 - New approaches for computing the wave growth rate due to wind induced shear instabilities are presented. The first approach is based on an analytical solution of Rayleigh’s equation for arbitrary wind profiles in the vicinity of the critical point, followed by numerical integration. The wave growth rate is obtained from the dispersion relation of the air-sea interface. The results of the first approach agree perfectly well with the numerical solution of Conte and Miles (1959) for the special case of a logarithmic wind profile. The second approach assumes a definite vertical profile for the perturbed velocity field and then makes use of the air-sea dispersion relation for computing the wave growth rate. Despite the simplicity of the approximation the agreement of the second approach with the first one is quite acceptable. Comments on the future work are given in closing.

AB - New approaches for computing the wave growth rate due to wind induced shear instabilities are presented. The first approach is based on an analytical solution of Rayleigh’s equation for arbitrary wind profiles in the vicinity of the critical point, followed by numerical integration. The wave growth rate is obtained from the dispersion relation of the air-sea interface. The results of the first approach agree perfectly well with the numerical solution of Conte and Miles (1959) for the special case of a logarithmic wind profile. The second approach assumes a definite vertical profile for the perturbed velocity field and then makes use of the air-sea dispersion relation for computing the wave growth rate. Despite the simplicity of the approximation the agreement of the second approach with the first one is quite acceptable. Comments on the future work are given in closing.

KW - Rayleigh equation

KW - Shear instabilities

KW - Wave growth

KW - Wind waves

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M3 - Conference contribution

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SN - 9789812703040

T3 - Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference

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A2 - Goda, Yoshimi

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PB - [publishername] World Scientific

T2 - 2nd International Conference on Asian and Pacific Coasts, APAC (WITH CD-ROM) 2003

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Beji S, Nadaoka K. New approaches for computing wave growth rate due to wind induced shear instabilities. In Goda Y, Nadaolta K, Kiolta W, editors, Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference. [publishername] World Scientific. 2004. (Asian and Pacific Coasts, 2003 - Proceedings of the 2nd International Conference). doi: 10.1142/9789812703040_0038

New approaches for computing wave growth rate due to wind induced shear instabilities

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