By David A. Leenknecht, Andre Szuwalski and Ann R. Sherlock
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Extra info for ACES - AUTOMATED COASTAL ENGINEERING SYSTEM - TECHNICAL REFERENCE
The probability of wave occurrence, expressed as a percent chance of occurrence, is calculated as (Headquarters, Department of the Army, 1989) ‘=100[’-(’-+)’1 (11) where: P, = percent chance of occurrence L = time period of concern SELECTION OF A DISTRIBUTION (years) FUNCTION The five distribution functions considered in this analysis are sufficiently different that only one or two can be expected to provide a good fit to any particular data set. Two statistics are provided to assist in selecting the best fit distribution function.
The equations of Oth order determine P o and Q o once b ~. is determined. The equations of Ist order determine b 00 such that a nontrivial solution of N, and Y, exists. In similar fashion, the 2“d order equations determine N, and Y, if a nontrivial solution of N ~ and Y z exists. The process continues upward to the desired order of solution. This particular ACES application will provide results for 1st and 2XIdorder solutions. The solution for the cnoidal theory contains elliptic integrals and Jacobian elliptic functions which arise from the choice of K as the auxiliary parameter and from the solution of certain nonlinear differential equations.
Extreme heights from Alternatively, the higher of the two the two distribution functions could be averaged together. could be used if a conservative estimate is desired. REFERENCES AND BIBLIOGRAPHY Goda, Y. 1988. “On the Methodology of Selecting Design Wave Height,” Proceedings, Twenty-first Coastal Engineering Conference, American Society of Civil Engineers, Costa del Sol-Malaga, Spain, pp. 899-913. Gringorten, I. I. 1963. “A Plotting Rule for Extreme Research, Vol. 68, No. 3, pp. 813-814. Gumbel, 1-3-6 E.