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Two-Phase Porous Media Flow Simulation on a Hybrid Cluster

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Large-Scale Scientific Computing (LSSC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7116))

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Abstract

A kinetically-based model is developed to describe flow of slightly compressible two-phase fluid in a porous medium. The continuity equations for phases are modified taking into account the minimal scales of averaging on space and on time, as a result regularizing terms and the second order time derivative with small parameters are present in the equations. They are approximated by the three-level explicit difference scheme with a mild enough stability condition. The proposed algorithm is easily adapted to modern hybrid supercomputers. The problem of contaminant infiltration into the soil is solved on a cluster with graphics accelerators. High speed-up of GPU computations in comparison with CPU is demonstrated.

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References

  1. Chetverushkin, B.N.: Kinetic Schemes and Quasi-Gas Dynamic System of Equations. CIMNE, Barcelona (2008)

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Muisskaya Square, Moscow, 125047, Russia

    Marina Trapeznikova, Boris Chetverushkin & Natalia Churbanova

  2. Moscow Institute of Physics and Technology, State University, 9 Institutskij per., Dolgoprudny, Moscow Region, 141700, Russia

    Dmitrii Morozov

Authors
  1. Marina Trapeznikova
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  2. Boris Chetverushkin
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  3. Natalia Churbanova
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  4. Dmitrii Morozov
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Block 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov  & Svetozar Margenov  & 

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads, Building 321,, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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© 2012 Springer-Verlag Berlin Heidelberg

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Trapeznikova, M., Chetverushkin, B., Churbanova, N., Morozov, D. (2012). Two-Phase Porous Media Flow Simulation on a Hybrid Cluster. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_74

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  • DOI: https://doi.org/10.1007/978-3-642-29843-1_74

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29842-4

  • Online ISBN: 978-3-642-29843-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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