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Poisson Solver for Upscaling the Physical Properties of Porous Materials

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Computational Science and Its Applications – ICCSA 2021 (ICCSA 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12949))

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Abstract

In this paper, we present an iterative solver for Poisson equation. The approach is essentially oriented on upscaling the physical parameters of porous materials, such as electrical resistivity, thermal conductivity, pressure field computation. The algorithm allows solving Poisson equation for strongly heterogeneous media with small-scale high-contrast heterogeneities. The solver is based on the Krylov-type iterative method with a pseudo-spectral preconditionner, thus the convergence rate is independent on the sample size, but sensitive to the contrast of physical properties in the model. GPU-based implementation of the algorithm allows performing simulations for the samples of the size \(400^3\) using a single GPU.

The research was supported by the Russian Science foundation grant no. 21-71-20003.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4 Koptug ave, Novosibirsk, 630090, Russia

    Tatyana Khachkova & Vadim Lisitsa

Authors
  1. Tatyana Khachkova
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  2. Vadim Lisitsa
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Corresponding author

Correspondence to Vadim Lisitsa .

Editor information

Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Covenant University, Ota, Nigeria

    Sanjay Misra

  4. University of Cagliari, Cagliari, Italy

    Chiara Garau

  5. University of Cagliari, Cagliari, Italy

    Ivan Blečić

  6. Monash University, Clayton, VIC, Australia

    David Taniar

  7. Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  8. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  9. Polytechnic University of Bari, Bari, Italy

    Eufemia Tarantino

  10. Polytechnic University of Bari, Bari, Italy

    Carmelo Maria Torre

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Khachkova, T., Lisitsa, V. (2021). Poisson Solver for Upscaling the Physical Properties of Porous Materials. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science(), vol 12949. Springer, Cham. https://doi.org/10.1007/978-3-030-86653-2_39

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  • DOI: https://doi.org/10.1007/978-3-030-86653-2_39

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-86652-5

  • Online ISBN: 978-3-030-86653-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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