Overview on the applications of random wave concept in coastal engineering

Abstract

When ''coastal engineering'' was recognized as a new discipline in 1950, the significant wave concept was the basic tool in dealing with wave actions on beach and structures. Description of sea waves as the random process with spectral and statistical analysis was gradually introduced in various engineering problems in coastal engineering through the 1970s and 1980s. Nowadays the random wave concept plays the central role in engineering manuals for maritime structure designs. The present paper overviews the historical development of random wave concept and its applications in coastal engineering.

Incorporating Ocean Wave Spectrum Information in Short-Term Free-Surface Elevation Forecasting

“…In the numerical applications of this paper, the Mitsuyasu formula is retained since it is widely used for engineering applications and is more realistic than the cosine-square formulation [14]. Note, however, that the use of the Mitsuyasu formula and, more generally, the assumption of a directional spectrum in the form of (8) are not necessary for the application of (7), and hence for the derivation of the theoretical results presented in this paper.…”

“…1, is used as an example. For different orders M , the optimal predictor is derived as in (15), and the associated error e 2 (h) = E[(η(n + h) − η(n + h)) 2 ] is calculated for each time horizon between 0 and 60 s, without requiring any simulation since the sequence e 2 (h) is readily provided by the diagonal terms of Σ y|x in (14). The 3 Or eigenvalues larger than some small threshold.…”

Evolution of basic equations for nearshore wave field

“…Goda (2008) 18) reviewed fundamental concepts for analyzing random waves, i.e. , spectral analysis and individual wave analysis, and their applications to engineering practices.…”

“…18) A component of random waves has a certain wave period, T , wavelength, L , and wave direction, θ. By changing the variables into the wave number vector, k =( k cosθ, k sinθ) ( k =2π/ L :wavenumber), and the angular frequency, ω=2π/ T , the amplitude of the component waves representing the energy in the interval between k and k + d k , and ω and ω+ d ω is expressed as Z ( d k , d ω).…”

Wave spectral modeling of multidirectional random waves in a harbor through combination of boundary integral of Helmholtz equation with Chebyshev point discretization

“…The comparison studies of the several wave spectra for the random wave diffraction by semi-infinite breakwater is done by Lee and Kim [29]. Overall, the concept of random wave diffraction in coastal engineering is reviewed by Goda [30].…”