Distribution of wave crests in a non-Gaussian sea |
| |
Authors: | Ronald W Butler Ulla B Machado Igor Rychlik |
| |
Institution: | aDepartment of Statistics, Colorado State University, Fort Collins, USA;bDepartment of Mathematical Statistics, Chalmers University of Technology, Gothenburg, Sweden;cFraunhofer-Chalmers Research Centre for Industrial Mathematics, Gothenburg, Sweden;dCentre for Mathematical Sciences, Lund University, Lund, Sweden |
| |
Abstract: | The sea elevation at a fixed point is modelled as a quadratic form of a vector valued Gaussian process with arbitrary mean. With this model, saddlepoint methods are used to approximate the mean upcrossing intensity with which the sea level crosses upwards at a certain height. This estimated intensity is further used to determine the probability distribution of wave crests. The use of saddlepoint technique is particularly important here because it can approximate the crest distribution without the need to perform simulations or use fitted distributions. Several numerical examples are given, including two with measured data. In the cases of real data, the results obtained with the saddlepoint technique are also compared with the results obtained with well known methods commonly used in the industry. |
| |
Keywords: | Crest distribution Non-Gaussian sea Rice’ s formula Saddlepoint method |
本文献已被 ScienceDirect 等数据库收录! |
|