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Quasi-Characteristics Scheme with Parallel Facilities for Computations of Two-Phase Flows in Heterogeneous Porous Media

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

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Abstract

A pure second-order scheme of quasi-characteristics based on a pyramidal stencil is applied to the numerical modelling of non-stationary two-phase flows through porous media with the essentially heterogeneous properties. In contrast with other high-resolution well-known schemes with monotone properties, this scheme preserves a second-order approximation in regions, where discontinuities of solutions arise, as well as monotone properties of numerical solutions in those regions. It’s possible since the considering scheme is defined on a non-fixed stencil and is a combination of two solutions of high-order approximation with different dispersion properties. A special criterion of local type according to which, one or another admissible solution is chosen, suitable for parallel computations is proposed. Numerical results showing the efficiency of present approach in computations of two-phase flows through porous media with strongly discontinuous penetration coefficients are presented.

Supported by BK21 project.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology, Taejon, 305-701, South Korea

    Mikhail P. Levin

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  1. Mikhail P. Levin
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2002 Springer-Verlag Berlin Heidelberg

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Levin, M.P. (2002). Quasi-Characteristics Scheme with Parallel Facilities for Computations of Two-Phase Flows in Heterogeneous Porous Media. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_58

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  • DOI: https://doi.org/10.1007/3-540-48086-2_58

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

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