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

Winyu Rattanapitikon, Tomoya Shibayama

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    1 Citation (Scopus)


    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.

    Original languageEnglish
    Article number1350009
    JournalCoastal Engineering Journal
    Issue number3
    Publication statusPublished - 2013 Sep



    • empirical formula
    • highest one-ten wave height
    • maximum wave height
    • Mean 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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