In this paper we provide a general framework for model reduction methods applied to fluid flow in porous media. Using reduced basis and numerical homogenization techniques we show that the complexity of the numerical approximation of Stokes flow in heterogeneous media can be drastically reduced. The use of such a computational framework is illustrated at several model problems such as two and three scale porous media.
Title
Multiscale model reduction methods for flow in heterogeneous porous media
Published in
Numerical Mathematics and Advanced Applications ENUMATH 2015
Series
Lecture Notes in Computational Science and Engineering, 112
Pages
333-349
Conference
Numerical Mathematics and Advanced Applications ENUMATH 2015, Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, September 14 to 18, 2015
Date
2016
Publisher
Cham, Springer
ISBN
978-3-319-39927-0
Record creation date
2016-08-08