This paper deals with the long-term statistics for extreme nonlinear crest heights. First, a new analytical solution for the return period R(h), of a sea storm in which the maximum nonlinear crest height exceeds a fixed threshold h, is obtained by applying the ‘Equivalent Triangular Storm’ model and a second-order crest height distribution. The probability P(hc max > hj[0, L]) that maximum nonlinear crest height in the time span L exceeds a fixed threshold is then derived from R(h) solution, assuming that the occurrence of storms with highest crest larger than h is given by a Poisson process. In the applications, both R(h) and P(hc max > hj[0, L]) are calculated for some locations. It is shown that narrowband second-order approach is slightly conservative, with respect to the more general condition of crest distribution for second-order three-dimensional waves. Finally, a comparison with Boccotti, Jasper and Krogstad models is presented.

THE RETURN PERIOD OF NONLINEAR HIGH WAVE CRESTS / Arena, F.; Pavone, D; Arena, Felice. - In: JOURNAL OF GEOPHYSICAL RESEARCH. - ISSN 0148-0227. - 111, No. C8:(2006), pp. 1-10. [10.1029/2005JC003407]

THE RETURN PERIOD OF NONLINEAR HIGH WAVE CRESTS

ARENA, Felice
2006-01-01

Abstract

This paper deals with the long-term statistics for extreme nonlinear crest heights. First, a new analytical solution for the return period R(h), of a sea storm in which the maximum nonlinear crest height exceeds a fixed threshold h, is obtained by applying the ‘Equivalent Triangular Storm’ model and a second-order crest height distribution. The probability P(hc max > hj[0, L]) that maximum nonlinear crest height in the time span L exceeds a fixed threshold is then derived from R(h) solution, assuming that the occurrence of storms with highest crest larger than h is given by a Poisson process. In the applications, both R(h) and P(hc max > hj[0, L]) are calculated for some locations. It is shown that narrowband second-order approach is slightly conservative, with respect to the more general condition of crest distribution for second-order three-dimensional waves. Finally, a comparison with Boccotti, Jasper and Krogstad models is presented.
2006
return period; long-term statistics; storm
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/7167
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