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Completely Conservative Difference Schemes for Fluid Dynamics in a Piezoconductive Medium with Gas Hydrate Inclusions

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Abstract

The dynamics equations for a two-component fluid in a porous medium with gas hydrate inclusions are approximated on a structurally irregular difference grid. The case of a thermodynamically equilibrium model is considered. The support operator method is used to construct a family of completely conservative two-level difference schemes. The time approximation is based on expressions “weighted” according to grid time levels with weighting factors that generally vary in space. For a difference fluid dynamics problem, an algorithm based on splitting into physical processes is proposed.

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Funding

This work was supported by the Russian Science Foundation, project no. 16-11-00100.

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Authors and Affiliations

  1. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    V. A. Gasilov, Yu. A. Poveshchenko, V. O. Podryga & P. I. Rahimly

  2. National Research Nuclear University “MEPhI”, 115409, Moscow, Russia

    V. A. Gasilov & Yu. A. Poveshchenko

  3. Moscow Automobile and Road Construction State Technical University (MADI), 125319, Moscow, Russia

    V. O. Podryga

Authors
  1. V. A. Gasilov
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  2. Yu. A. Poveshchenko
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  3. V. O. Podryga
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  4. P. I. Rahimly
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Corresponding author

Correspondence to V. O. Podryga.

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Translated by I. Ruzanova

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Gasilov, V.A., Poveshchenko, Y.A., Podryga, V.O. et al. Completely Conservative Difference Schemes for Fluid Dynamics in a Piezoconductive Medium with Gas Hydrate Inclusions. Comput. Math. and Math. Phys. 60, 134–143 (2020). https://doi.org/10.1134/S0965542519100087

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  • DOI: https://doi.org/10.1134/S0965542519100087

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