TY - JOUR

T1 - Verification and extension of Goda formulas for computing representative wave heights transformation

AU - Rattanapitikon, Winyu

AU - Shibayama, Tomoya

N1 - Funding Information:
This research was sponsored by the Thailand Research Fund.

PY - 2013/9

Y1 - 2013/9

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

UR - http://www.scopus.com/inward/record.url?scp=84884522591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884522591&partnerID=8YFLogxK

U2 - 10.1142/S0578563413500095

DO - 10.1142/S0578563413500095

M3 - Article

AN - SCOPUS:84884522591

VL - 55

JO - Coastal Engineering in Japan

JF - Coastal Engineering in Japan

SN - 0578-5634

IS - 3

M1 - 1350009

ER -