Abstract
The article presents an analytical method that can be applied to provide first estimates of wave runup (RU) and wave rundown (RD) on shorelines and coastal structures based on observed long-term wave statistics and is supplementary to [12] who based their results on long-term wind statistics. Some recently published wave RU and wave RD formulae are used, together with joint statistics of significant wave height and spectral peak period from the Northern North Sea. Results are exemplified for the average statistical properties of wave RU and wave RD in terms of the expected values and the standard deviations, as well as values estimated from 1-, 10- and 100-years return period contour lines.
Highlights
When waves approach a coastline, they usually break and run up on the coast, be it a structure or a beach
The article presents an analytical method that can be applied to provide first estimates of wave runup (RU) and wave rundown (RD) on shorelines and coastal structures based on observed long-term wave statistics and is supplementary to [12] who based their results on longterm wind statistics
Results are exemplified for the average statistical properties of wave RU and wave RD in terms of the expected values and the standard deviations, as well as values estimated from 1, 10- and 100-years return period contour lines
Summary
When waves approach a coastline, they usually break and run up on the coast, be it a structure or a beach. Results from some recent studies will be advocated here and described briefly in Section 2; from [9], [1], [2], [3] and [4] The latter reference gives a review and summary of wave RU formulae. The present article is supplementary to [12] who based their results on long-term wind statistics, applying eight wave RU formulae and one wave RD formula. The main purpose here is to demonstrate how similar and some additional results of wave RU and wave RD can be derived by using long-term wave statistics In this article it is demonstrated how long-term wave statistics in deep water can be applied to provide estimates of the wave RU and wave RD on shorelines or coastal structures. The present analytical method should provide a useful tool that can be used for initial estimation of wave RU and wave RD in for instance early feasibility studies and risk analysis, or for estimations in the field
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