Simulation of stochastic ocean state by random function methods
LIU Zhang-jun，LIU Ling
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College of Civil Engineering & Architecture, China Three Gorges University, Yichang 443002, China
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History+
Received
Revised
Published
2014-02-14
2014-05-29
2014-10-25
Issue Date
2014-10-25
Abstract
Based on two classical simulation methods for stationary stochastic processes, including the spectral representation methodology and the orthogonal expansion method, through defining these standard orthogonal random variables in the two classical simulation methods as the orthogonal function form of a given basic random variable, so the original stochastic process can be represented by one basic random variable. In order to research a stochastic process from the set of its sample functions, discrete representative points of the basic random variable need be selected, and sample functions with assigned probability can be generated directly by the spectral representation methodology and the orthogonal expansion method, respectively. The two innovated methods are used to simulate random ocean state, and the simulated results are in excellent agreement with the prescribed probabilistic characteristics. Finally, some features of these two kinds of innovated simulation methods in applications are stated and compared.
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