A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion

PS Addison*, B Qu, A Nisbet, G Pender

*Corresponding author for this work

    Research output: Contribution to journalArticle

    28 Citations (Scopus)


    The work is motivated by the recent discovery that ocean surface drifter trajectories contain fractal properties. This suggests that the dispersion of pollutants in coastal waters may also be described using fractal statistics. The paper describes the development of a fractional Brownian motion model for simulating pollutant dispersion using particle tracking. Numerical test cases are used to compare this new model with the results obtained from a traditional Gaussian particle-tracking model. The results seems to be significantly different, which may have implications for pollution modelling in the coastal zone. (C) 1997 John Wiley & Sons, Ltd.

    Original languageEnglish
    Pages (from-to)1373-1384
    Number of pages12
    JournalInternational Journal for Numerical Methods in Fluids
    Issue number12
    Publication statusPublished - 30 Dec 1997


    • particle tracking
    • non-Fickian distribution
    • fractional Brownian motion
    • fractal


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