### Abstract

Shoreline evolution due to longshore sediment transport is one of the most important problems in coastal engineering and management. This paper describes a method to predict the probability distributions of long-term shoreline positions in which the evolution process is based on the standard one-line model recast into a stochastic differential equation. The time-dependent and spatially varying probability density function of the shoreline position leads to a Fokker–Planck equation model. The behaviour of the model is evaluated by applying it to two simple shoreline configurations: a single long jetty perpendicular to a straight shoreline and a rectangular beach nourishment case. The sensitivity of the model predictions to variations in the wave climate parameters is shown. The results indicate that the proposed model is robust and computationally efficient compared with the conventional Monte Carlo simulations.

Original language | English |
---|---|

Pages (from-to) | 1799-1814 |

Number of pages | 15 |

Journal | Stochastic Environmental Research and Risk Assessment |

Volume | 27 |

Issue number | 8 |

DOIs | |

Publication status | Published - Dec 2013 |

### Keywords

- probability density distribution
- shoreline erosion
- longshore transport
- wave distribution
- Fokker–Planck equation

## Fingerprint Dive into the research topics of 'Application of a stochastic differential equation to the prediction of shoreline evolution'. Together they form a unique fingerprint.

## Cite this

Dong, P., & Wu, X. Z. (2013). Application of a stochastic differential equation to the prediction of shoreline evolution.

*Stochastic Environmental Research and Risk Assessment*,*27*(8), 1799-1814. https://doi.org/10.1007/s00477-013-0715-0