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

1997; Wiley; Volume: 25; Issue: 12 Linguagem: Inglês

10.1002/(sici)1097-0363(19971230)25

1097-0363

Paul S. Addison, Bo Qu, Alistair Nisbet, Gareth Pender,

Mathematical Biology Tumor Growth

International Journal for Numerical Methods in FluidsVolume 25, Issue 12 p. 1373-1384 Research Article A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion Paul S. Addison, Corresponding Author Paul S. Addison Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.===Search for more papers by this authorBo Qu, Bo Qu Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.Search for more papers by this authorAlistair Nisbet, Alistair Nisbet Department of Civil Engineering, Glasgow University, The Rankine Building, Oakfield Avenue, Glasgow G12 8LT, U.K.Search for more papers by this authorGareth Pender, Gareth Pender Department of Civil Engineering, Glasgow University, The Rankine Building, Oakfield Avenue, Glasgow G12 8LT, U.K.Search for more papers by this author Paul S. Addison, Corresponding Author Paul S. Addison Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.===Search for more papers by this authorBo Qu, Bo Qu Department of Civil and Transportation Engineering, Napier University, Merchiston Campus, 10 Colinton Road, Edinburgh EH10 5DT, U.K.Search for more papers by this authorAlistair Nisbet, Alistair Nisbet Department of Civil Engineering, Glasgow University, The Rankine Building, Oakfield Avenue, Glasgow G12 8LT, U.K.Search for more papers by this authorGareth Pender, Gareth Pender Department of Civil Engineering, Glasgow University, The Rankine Building, Oakfield Avenue, Glasgow G12 8LT, U.K.Search for more papers by this author First published: 21 December 1998 https://doi.org/10.1002/(SICI)1097-0363(19971230)25:12 3.0.CO;2-6Citations: 21AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat 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. © 1997 John Wiley & Sons, Ltd. References 1 B. P. Leonard, ‘The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection’, Comput. Mech. Appl. Mech. Engng., 88, 17–74 (1991). 10.1016/0045-7825(91)90232-U Web of Science®Google Scholar 2 C. M. 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