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

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High Performance Computing in Science and Engineering (HPCSE 2015)

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


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.

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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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Correspondence to Jan Březina .

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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.

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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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