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.
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