| Title | Slope distribution in front-back asymmetric stochastic Lagrange time waves |
| Authors | Georg Lindgren |
| Alternative Location | http://dx.doi.org/http://dx... |
| Publication | Advances in Applied Probability |
| Year | 2010 |
| Volume | 42 |
| Issue | 2 |
| Pages | 489 - 508 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Applied Probability Trust |
| Abstract English | The stochastic Lagrange wave model is a realistic alternative to the Gaussian linear wave model, which has been successfully used in ocean engineering for more than half a century. This paper presents the slope distributions and other characteristic distributions at level crossings <br> for asymmetric Lagrange time waves, i.e. what can be observed at a fixed measuring station, thereby extending results previously given for space waves. The distributions are given as expectations in a multivariate normal distribution, and they have to be evaluated by simulation or numerical integration. Interesting characteristic variables are: slope in time, slope in space, and vertical particle velocity when the waves are observed close to instances when the water level crosses a predetermined level. <br> The theory has been made possible by recent generalizations of <br> Rice's formula for the expected number of marked crossings in random <br> fields. |
| Keywords | Palm distribution, Crossing theory, Rice formula, Slepian model, wave steepness, Gaussian process, |
| ISBN/ISSN/Other | ISSN: 00018678 |
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