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A Stochastic Differential Equation Model for the Shoreline Evolution

Author(s): Xingzheng Wu; Ping Dong

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Keywords: Probability density function; Shoreline erosion; Long-shore transport; Wave distribution; Fokker-Planck equation

Abstract: The long-term shoreline evolution due to longshore sediment transport gradients is one of the most important problems in coastal engineering design and management. It is well known that the primary physical factors controlling the shoreline evolution are the wave climate, existing shoreline position, sediment supplies and properties, and the influences of coastal protection structures. Since most of these factors cannot be determined precisely, the dynamical response of the shoreline over time has to be treated as a time-dependent stochastic system. This paper presents a stochastic differential equation model based on the standard one-line model description of the processes for predicting the probability distributions of long-term shoreline positions. The model is applied to a simple coastal configuration involving a single long jetty perpendicular to a straight shoreline in order to evaluate the usefulness of the model.

DOI:

Year: 2007

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