Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface

In this article the Stokes equations are considered in a domain simulating a capillary bed system. The capillaries are supposed to be thin, parallel and periodic. An asymptotic approximation is constructed. The macroscopic pressure satisfies a Robin interface condition whose coefficients are calculated numerically through a finite element approximation of a boundary layer problem, which is inspired to a domain decomposition technique.


Published in:
Applicable Analysis, 92, 1, 158-171
Year:
2013
Publisher:
Abingdon, Taylor & Francis Ltd
ISSN:
0003-6811
Keywords:
Laboratories:




 Record created 2013-03-28, last modified 2018-01-28


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