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International Conference on High Performance Computing in Science and Engineering

HPCSE 2015: High Performance Computing in Science and Engineering pp 152–160Cite as

Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9611)

Abstract

The Darcy flow problem in fractured porous media is considered. The fractures are treated as lower dimensional objects coupled with the surrounding continuum. Error estimates for the weak solution to such continuum-fracture model in comparison to the weak solution of the full model are derived. Validity of the estimates is inspected on one simple and one quasi-realistic case numerically.

Keywords

  • Darcy flow
  • Fractured media
  • Reduced model
  • Error estimate

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References

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Acknowledgement

This work was supported by the Ministry of Education, Youth and Sports under the project LO1201 in the framework of the targeted support of the “National Programme for Sustainability I” and the OPR & DI project Centre for Nanomaterials, Advanced Technologies and Innovation CZ.1.05/2.1.00/01.0005. Computational resources were provided by the MetaCentrum under the program LM2010005 and the CERIT-SC under the program Centre CERIT Scientific Cloud, part of the Operational Program Research and Development for Innovations, Reg. no. CZ.1.05/3.2.00/08.0144.

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Authors and Affiliations

  1. Technical University of Liberec, Studentská 1402/2, 46117, Liberec, Czech Republic

    Jan Březina & Jan Stebel

Authors
  1. Jan Březina
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  2. Jan Stebel
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Corresponding author

Correspondence to Jan Březina .

Editor information

Editors and Affiliations

  1. VSB - Technical University of Ostrava, Ostrava, Czech Republic

    Tomáš Kozubek

  2. Institute of Geonics of the CAS, Ostrava, Czech Republic

    Radim Blaheta

  3. Institute of Mathematics of the CAS, Prague, Czech Republic

    Jakub Šístek

  4. Institute of Computer Science of the CAS, Prague, Czech Republic

    Miroslav Rozložník

  5. VSB - Technical University of Ostrava, Ostrava, Czech Republic

    Martin Čermák

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Březina, J., Stebel, J. (2016). Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow. In: Kozubek, T., Blaheta, R., Šístek, J., Rozložník, M., Čermák, M. (eds) High Performance Computing in Science and Engineering. HPCSE 2015. Lecture Notes in Computer Science(), vol 9611. Springer, Cham. https://doi.org/10.1007/978-3-319-40361-8_11

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  • DOI: https://doi.org/10.1007/978-3-319-40361-8_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40360-1

  • Online ISBN: 978-3-319-40361-8

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