Application of a stochastic differential equation to the prediction of shoreline evolution

Ping Dong, Xing Zheng Wu

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)1799-1814
    Number of pages15
    JournalStochastic Environmental Research and Risk Assessment
    Volume27
    Issue number8
    DOIs
    Publication statusPublished - Dec 2013

    Fingerprint

    coastal evolution
    Differential equations
    shoreline
    prediction
    Coastal engineering
    coastal engineering
    beach nourishment
    wave climate
    Sediment transport
    coastal zone management
    probability density function
    Beaches
    Probability distributions
    Probability density function
    sediment transport
    simulation

    Keywords

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

    Cite this

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    title = "Application of a stochastic differential equation to the prediction of shoreline evolution",
    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.",
    keywords = "probability density distribution, shoreline erosion, longshore transport, wave distribution, Fokker–Planck equation",
    author = "Ping Dong and Wu, {Xing Zheng}",
    year = "2013",
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    language = "English",
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    Application of a stochastic differential equation to the prediction of shoreline evolution. / Dong, Ping; Wu, Xing Zheng.

    In: Stochastic Environmental Research and Risk Assessment, Vol. 27, No. 8, 12.2013, p. 1799-1814.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Application of a stochastic differential equation to the prediction of shoreline evolution

    AU - Dong, Ping

    AU - Wu, Xing Zheng

    PY - 2013/12

    Y1 - 2013/12

    N2 - 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.

    AB - 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.

    KW - probability density distribution

    KW - shoreline erosion

    KW - longshore transport

    KW - wave distribution

    KW - Fokker–Planck equation

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