Forum Article: Towards a Non-Fickian Diffusion Model Using Fractal Geometric Techniques
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 9
0733-9429(1998)124:9(877)/asset/7ff863d7-c97d-460c-89d4-f87325aad4c0/assets/(asce)0733-9429(1998)124:9(877).fp.png)
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Addison, P. S.(1996). “A method for modelling dispersion dynamics in coastal waters using fractional Brownian motion.”IAHR J. Hydr. Res., 34, 549–561.
2.
Addison, P. S. (1997). Fractals and chaos: An illustrated course. Institute of Physics Publishing, Bristol, U.K.
3.
Addison, P. S., and Qu, B. (1997). “Non-Fickian random walk diffusion models.”Envir. and Coast. Hydr.: Protecting the Aquatic Habitat, Proc. of Theme B, Vol. 1, 27th IAHR Congr., ASCE, Reston, Va., 45–50.
4.
Addison, P. S., Qu, B., Nisbet, A., and Pender, G. (1997). “A non-Fickian particle-tracking diffusion model based on fractional Brownian motion.”Int. J. Numer. Methods in Fluids, in press.
5.
Addison, P. S., Qu, B., Ndumu, A. S., and Pyrah, I. (1998). “A particle tracking model for non-Fickian subsurface diffusion.”Math. Geology, in press.
6.
Hurst, H. E.(1951). “Long term storage capacity of reservoirs.”Trans. ASCE, 116, 770–808.
7.
Hunter, J. R., Craig, P. D., and Philips, H. E.(1993). “On the use of random walk models with spatially variable diffusivity.”J. Comp. Phys., 106, 366–376.
8.
List, E. J., Gartrell, G., and Winant, C. D.(1990). “Diffusion and dispersion in coastal waters.”J. Hydr. Engrg., ASCE, 116, 1158–1179.
9.
Ukobo, A.(1971). “Oceanic diffusion diagrams.”Deep Sea Res., 18, 789–802.
10.
Osborne, A. R., Kirwan, A. D., Provenzale, A., and Bergamasco, L. (1989). “Fractal drifter trajectories in the Kuroshio extension.”Tellus, 41A, 416–435.
11.
Sanderson, B. G., and Booth, D. A. (1991). “The fractal dimension of drifter trajectories and estimates of horizontal eddy-diffusivity.”Tellus, 43A, 334–349.
12.
Yin, Z.-M.(1996). “New methods for simulation of fractional Brownian motion.”J. Computational Phys., 127, 66–72.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 9 • September 1998
Pages: 877 - 879
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Sep 1, 1998
Published in print: Sep 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.