### 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 |
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Article number | 1350009 |

Journal | Coastal Engineering Journal |

Volume | 55 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2013 Sep |

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### Keywords

- 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

### Cite this

*Coastal Engineering Journal*,

*55*(3), [1350009]. https://doi.org/10.1142/S0578563413500095