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

PS Addison; B Qu; A Nisbet; G Pender

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 journal › Article

28 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1373-1384
Number of pages	12
Journal	International Journal for Numerical Methods in Fluids
Volume	25
Issue number	12
Publication status	Published - 30 Dec 1997

Keywords

particle tracking
non-Fickian distribution
fractional Brownian motion
fractal
FRACTAL DIMENSION
DISPERSION
GENERATOR

Cite this

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

abstract = "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.",

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author = "PS Addison and B Qu and A Nisbet and G Pender",

year = "1997",

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language = "English",

volume = "25",

pages = "1373--1384",

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T1 - A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion

AU - Addison, PS

AU - Qu, B

AU - Nisbet, A

AU - Pender, G

PY - 1997/12/30

Y1 - 1997/12/30

N2 - 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.

AB - 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.

KW - particle tracking

KW - non-Fickian distribution

KW - fractional Brownian motion

KW - fractal

KW - FRACTAL DIMENSION

KW - DISPERSION

KW - GENERATOR

M3 - Article

SN - 0271-2091

VL - 25

SP - 1373

EP - 1384

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 12

ER -

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

Abstract

Keywords

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