We consider the coupling of the Stokes and Darcy systems with different choices for the interface conditions. We show that, comparing results with those for the Stokes-Brinkman equations, the solutions of Stokes-Darcy equations with the Beavers-Joseph interface condition in the one-dimensional and quasi-two-dimensional (periodic) cases are more accurate than are those obtained using the Beavers-Joseph-Saffman-Jones interface condition and that both of these are more accurate than solutions obtained using a zero tangential velocity interface condition. the zero tangential velocity interface condition is in turn more accurate than the free-slip interface boundary condition. We also prove that the summation of the quasi-two-dimensional solutions converge so that the conclusions are also valid for the two-dimensional case. © 2010 Elsevier Inc.
N. Chen et al., "Asymptotic Analysis of the Differences between the Stokes-Darcy System with Different Interface Conditions and the Stokes-Brinkman System," Journal of Mathematical Analysis and Applications, vol. 368, no. 2, pp. 658 - 676, Elsevier, Aug 2010.
The definitive version is available at https://doi.org/10.1016/j.jmaa.2010.02.022
Mathematics and Statistics
Keywords and Phrases
Beavers-Joseph Condition; Beavers-Joseph-Saffman-Jones Condition; Stokes-Brinkman Equations; Stokes-Darcy Equations
International Standard Serial Number (ISSN)
Article - Journal
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01 Aug 2010