Verification and extension of Goda formulas for computing representative wave heights transformation

Winyu Rattanapitikon; Tomoya Shibayama

doi:10.1142/S0578563413500095

Verification and extension of Goda formulas for computing representative wave heights transformation

Winyu Rattanapitikon, Tomoya Shibayama

School of Creative Science and Engineering

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

1 Citation (Scopus)

Abstract

The present study concentrates on the empirical formulas of Goda [1975, 2009]. The formulas were proposed for computing the transformation of three common representative wave heights (i.e. H_1/3, H_max and H_m0) on plane beaches. The objectives of the present study are to verify the Goda formulas for computing the transformation of H_1/3, H_max and H_m0 on unbarred beaches and to extend the formulas for computing the transformation of H_m, H_rms and H_1/10. Laboratory data from small-scale and large-scale wave flumes with unbarred beach conditions are used to verify the formulas. The verification shows that the formulas give very good predictions of H_1/3 and H_m0, but give fair prediction of H_max. The formulas are rewritten in the form of a general formula. The general form of Goda formulas is recalibrated and extended to compute other representative wave heights (i.e. H_m, H_rms and H_1/10). The general formula gives very good predictions of H_m, H_rms, H_1/3, H _1/10, H_max and H_m0.

Original language	English
Article number	1350009
Journal	Coastal Engineering Journal
Volume	55
Issue number	3
DOIs	https://doi.org/10.1142/S0578563413500095
Publication status	Published - 2013 Sept

Keywords

Mean wave height
empirical formula
highest one-ten wave height
maximum wave height
representative wave height
root mean square wave height
significant wave height

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
Ocean Engineering

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title = "Verification and extension of Goda formulas for computing representative wave heights transformation",

abstract = "The present study concentrates on the empirical formulas of Goda [1975, 2009]. The formulas were proposed for computing the transformation of three common representative wave heights (i.e. H1/3, Hmax and Hm0) on plane beaches. The objectives of the present study are to verify the Goda formulas for computing the transformation of H1/3, Hmax and Hm0 on unbarred beaches and to extend the formulas for computing the transformation of Hm, Hrms and H1/10. Laboratory data from small-scale and large-scale wave flumes with unbarred beach conditions are used to verify the formulas. The verification shows that the formulas give very good predictions of H1/3 and Hm0, but give fair prediction of Hmax. The formulas are rewritten in the form of a general formula. The general form of Goda formulas is recalibrated and extended to compute other representative wave heights (i.e. Hm, Hrms and H1/10). The general formula gives very good predictions of Hm, Hrms, H1/3, H 1/10, Hmax and Hm0.",

keywords = "Mean wave height, empirical formula, highest one-ten wave height, maximum wave height, representative wave height, root mean square wave height, significant wave height",

author = "Winyu Rattanapitikon and Tomoya Shibayama",

note = "Funding Information: This research was sponsored by the Thailand Research Fund.",

year = "2013",

month = sep,

doi = "10.1142/S0578563413500095",

language = "English",

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journal = "Coastal Engineering in Japan",

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PY - 2013/9

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N2 - The present study concentrates on the empirical formulas of Goda [1975, 2009]. The formulas were proposed for computing the transformation of three common representative wave heights (i.e. H1/3, Hmax and Hm0) on plane beaches. The objectives of the present study are to verify the Goda formulas for computing the transformation of H1/3, Hmax and Hm0 on unbarred beaches and to extend the formulas for computing the transformation of Hm, Hrms and H1/10. Laboratory data from small-scale and large-scale wave flumes with unbarred beach conditions are used to verify the formulas. The verification shows that the formulas give very good predictions of H1/3 and Hm0, but give fair prediction of Hmax. The formulas are rewritten in the form of a general formula. The general form of Goda formulas is recalibrated and extended to compute other representative wave heights (i.e. Hm, Hrms and H1/10). The general formula gives very good predictions of Hm, Hrms, H1/3, H 1/10, Hmax and Hm0.

AB - The present study concentrates on the empirical formulas of Goda [1975, 2009]. The formulas were proposed for computing the transformation of three common representative wave heights (i.e. H1/3, Hmax and Hm0) on plane beaches. The objectives of the present study are to verify the Goda formulas for computing the transformation of H1/3, Hmax and Hm0 on unbarred beaches and to extend the formulas for computing the transformation of Hm, Hrms and H1/10. Laboratory data from small-scale and large-scale wave flumes with unbarred beach conditions are used to verify the formulas. The verification shows that the formulas give very good predictions of H1/3 and Hm0, but give fair prediction of Hmax. The formulas are rewritten in the form of a general formula. The general form of Goda formulas is recalibrated and extended to compute other representative wave heights (i.e. Hm, Hrms and H1/10). The general formula gives very good predictions of Hm, Hrms, H1/3, H 1/10, Hmax and Hm0.

KW - Mean wave height

KW - empirical formula

KW - highest one-ten wave height

KW - maximum wave height

KW - representative wave height

KW - root mean square wave height

KW - significant wave height

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Verification and extension of Goda formulas for computing representative wave heights transformation

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Keywords

ASJC Scopus subject areas

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