We consider the continuum Darcy/pipe flow model for flows in a porous matrix containing embedded conduits; such coupled flows are present in, e.g., karst aquifers. the mathematical well-posedness of the coupled problem as well as convergence rates of finite element approximation are established in the two-dimensional case. Computational results are also provided. © 2010 Wiley Periodicals, Inc.
Y. Cao et al., "Analysis and Finite Element Approximation of a Coupled, Continuum Pipe-Flow/Darcy Model for Flow in Porous Media with Embedded Conduits," Numerical Methods for Partial Differential Equations, vol. 27, no. 5, pp. 1242 - 1252, Wiley, Sep 2011.
The definitive version is available at https://doi.org/10.1002/num.20579
Mathematics and Statistics
Keywords and Phrases
Finite Element; Pipe Flow; Porous Media Flow
International Standard Serial Number (ISSN)
Article - Journal
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01 Sep 2011