Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
In this paper, the numerical simulation of the 3D seepage flow with fractional derivatives in porous media is considered under two special cases: non-continued seepage flow in uniform media (NCSFUM) and continued seepage flow in non-uniform media (CSF-NUM). A fractional alternating direction implicit scheme (FADIS) for the NCSF-UM and a modified Douglas scheme (MDS) for the CSF-NUM are proposed. The stability, consistency and convergence of both FADIS and MDS in a bounded domain are discussed. A method for improving the speed of convergence by Richardson extrapolation for the MDS is also presented. Finally, numerical results are presented to support our theoretical analysis.
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|Item Type:||Journal Article|
|Keywords:||seepage flow, fractional derivative, fractional alternating direction implicit scheme, modified Douglas scheme, stability and convergence, Richardson extrapolation.|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
Past > Schools > Mathematical Sciences
|Copyright Owner:||Copyright 2008 Oxford University Press|
|Deposited On:||19 Jan 2010 12:28|
|Last Modified:||01 Mar 2012 00:04|
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