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Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 1, Pages 122–131 (Mi zvmmf11023)  

Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions

V. A. Gasilovab, Yu. A. Poveschenkoba, V. O. Podrygaac, P. I. Rahimlia

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
b National Research Nuclear University "MEPhI", Moscow, 115409 Russia
c Moscow Automobile and Road Construction State Technical University (MADI), Moscow 125319 Russia

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.

Key words: support operator method, finite difference schemes, conservativeness, mathematical modeling, gas hydrates.

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


DOI: https://doi.org/10.31857/S0044466919100089


English version:
Computational Mathematics and Mathematical Physics, 2020, 60:1, 134–143

Bibliographic databases:

UDC: 519.635
Received: 21.03.2019
Revised: 21.03.2019
Accepted:18.09.2019

Citation: V. A. Gasilov, Yu. A. Poveschenko, V. O. Podryga, P. I. Rahimli, “Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 122–131; Comput. Math. Math. Phys., 60:1 (2020), 134–143

Citation in format AMSBIB
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\paper Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2020
\vol 60
\issue 1
\pages 122--131
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\crossref{https://doi.org/10.31857/S0044466919100089}
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\jour Comput. Math. Math. Phys.
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\pages 134--143
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