| Title | Stochastic asymmetry properties of 3D Gauss-Lagrange ocean waves with directional spreading |
| Authors | Georg Lindgren, Finn Lindgren |
| Alternative Location | http://dx.doi.org/10.1080/1..., Restricted Access |
| Publication | Stochastic Models |
| Year | 2011 |
| Volume | 27 |
| Issue | 3 |
| Pages | 490 - 520 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Taylor & Francis |
| Abstract English | In the stochastic Lagrange model for ocean waves the vertical and horizontal location of<br> surface water particles are modeled as correlated Gaussian processes. In this article we investigate<br> the statistical properties of wave characteristics related to wave asymmetry in the 3D Lagrange<br> model. We present a modification of the original Lagrange model that can produce front-back<br> asymmetry both of the space waves, i.e. observation of the sea surface at a fixed time, and<br> of the time waves, observed at a fixed measuring station. The results, which are based on a<br> multivariate form of Rice’s formula for the expected number of level crossings, are given in<br> the form of the cumulative distribution functions for the slopes observed either by asynchronous<br> sampling in space, or at synchronous sampling at upcrossings and down-crossings, respectively,<br> of a specified fixed level. The theory is illustrated in a numerical section, showing how the<br> degree of wave asymmetry depends on the directional spectral spreading and on the mean wave<br> direction. It is seen that the asymmetry is more accentuated for high waves, a fact that may be<br> of importance in safety analysis of capsizing risk. |
| Keywords | Crossing theory, Directional spreading, Front-back asymmetry, Gaussian process, Palm distribution, Rice formula, Slope asymmetry, Wave steepness., |
| ISBN/ISSN/Other | ISSN: 1532-4214 (online) |
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