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Numerical Mathematics and Advanced Applications ENUMATH 2015 pp 333–349Cite as

Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 112))

Abstract

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.

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Author information

Authors and Affiliations

  1. École Polytechnique Fédérale de Lausanne, ANMC, CH-1015, Lausanne, Switzerland

    Assyr Abdulle & Ondrej Budáč

Authors
  1. Assyr Abdulle
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  2. Ondrej Budáč
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Corresponding author

Correspondence to Assyr Abdulle .

Editor information

Editors and Affiliations

  1. Mathematics & Applied Mathematics, Middle East Technical University Mathematics & Applied Mathematics, Ankara, Turkey

    Bülent Karasözen

  2. Dept of Computer Engg, Middle East Technical Univ Dept of Computer Engg, Cankaya, Ankara, Turkey

    Murat Manguoğlu

  3. Middle East Technical University Mathematics & Institute of Applied Mathe, Ankara, Turkey

    Münevver Tezer-Sezgin

  4. Civil Engineering & Applied Mathematics, Middle East Technical University, Ankara, Turkey

    Serdar Göktepe

  5. Institute of Applied Mathematics, Middle East Technical University Institute of Applied Mathematics, Ankara, Turkey

    Ömür Uğur

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© 2016 Springer International Publishing Switzerland

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Abdulle, A., Budáč, O. (2016). Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_32

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