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A non‐Fickian, particle‐tracking diffusion model based on fractional Brownian motion
Author(s) -
Addison Paul S.,
Qu Bo,
Nisbet Alistair,
Pender Gareth
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971230)25:12<1373::aid-fld620>3.0.co;2-6
Subject(s) - fractional brownian motion , drifter , statistical physics , brownian motion , fractal , particle (ecology) , dispersion (optics) , tracking (education) , fick's laws of diffusion , diffusion , meteorology , mechanics , physics , mathematics , classical mechanics , mathematical analysis , geology , statistics , lagrangian , oceanography , optics , psychology , pedagogy , thermodynamics
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. © 1997 John Wiley & Sons, Ltd.