Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/75883
Title: A block-centered finite difference method for reduced fracture model in Karst aquifer system
Authors: Liu, W 
Sun, ZJ
Keywords: Karst aquifers
Block-centered finite difference method
Reduced coupled model
Issue Date: 2017
Publisher: Pergamon Press
Source: Computers and mathematics with applications, 2017, v. 74, no. 6, p. 1455-1470 How to cite?
Journal: Computers and mathematics with applications 
Abstract: A block-centered finite difference scheme is given for the approximation of reduced coupled model in the fractured media aquifer system. The fluid flow of aquifer system is governed by Darcy's law in both fracture and surrounding porous media. The degrees of freedom are given separately on both sides of fracture to capture the discontinuity of pressure and velocity. Optimal error estimates in discrete L-2 norms are obtained. Numerical experiments are provided to verify the second-order accuracy of presented method. It is demonstrated whether the fracture acts as a fast pathway or geological barrier is totally determined by the value of its permeability tensor.
URI: http://hdl.handle.net/10397/75883
ISSN: 0898-1221
EISSN: 1873-7668
DOI: 10.1016/j.camwa.2017.06.028
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