Abstract
The paper demonstrates that the sea spectra recommended by ITTC, based on the Bretschneider formulation, can be reduced to a nondimensional spectrum, the same for all the spectra, with unit area. In other words – these well-known spectra have geometrical affinity. This fact has been unknown in literature. Any ITTC sea spectrum, described by two parameters A and B, can be generated using the nondimensional spectrum. The same also applies to JONSWAP spectra. The latter requires in addition a third parameter, termed as the peak-shape parameter. The paper explores this possibility. The fact that all the sea spectra used by naval architects can be reduced to a common dimensionless spectrum of unit area opens up the possibility of approximating them by probability density functions of certain types. Such spectra, contrary to ITTC ones, are narrow-banded, with the bandwidth parameter less than 1, and have moments of any order.
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References
Seria OMK Ochi, M., K., (1998) Ocean waves, Cambridge University Press, ISBN 052156378 X, pp. 46–47
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Pawlowski, M. (2011). Sea Spectra Revisited. In: Almeida Santos Neves, M., Belenky, V., de Kat, J., Spyrou, K., Umeda, N. (eds) Contemporary Ideas on Ship Stability and Capsizing in Waves. Fluid Mechanics and Its Applications, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1482-3_32
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DOI: https://doi.org/10.1007/978-94-007-1482-3_32
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