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Avtomatika i Telemekhanika, 2004, Issue 8, Pages 3–13 (Mi at1612)  
This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

Nontraditional mathematical models of fluid filtration in porous media

A. V. Akhmetzyanov, V. N. Kulibanov

Institute of Control Sciences, Russian Academy of Sciences
Full-text PDF (229 kB) Citations (3)
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Abstract: Consideration was given to the multilevel variants of parallelization of computations in mathematical modeling of the hydrodynamical processes of fluid filtration in porous media. The proposed approach to the design of numerical models is based on the most important advances of numerical mathematics such as different versions of the methods of finite elements, finite volumes, finite super-elements, multiple grids, and domain decomposition for elliptic, parabolic, and hyperbolic quasilinear equations of mathematical physics. The structure of hierarchical decomposition of the model for organization of parallel computations was chosen with regard for the characteristics of the subject of modeling, that is, for layered and spatial nonuniformity of the porous medium and filtration characteristics of the fluids.
Presented by the member of Editorial Board: V. A. Lototskii

Received: 14.12.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 8, Pages 1177–1186
DOI: https://doi.org/10.1023/B:AURC.0000038722.90816.a9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Akhmetzyanov, V. N. Kulibanov, “Nontraditional mathematical models of fluid filtration in porous media”, Avtomat. i Telemekh., 2004, no. 8, 3–13; Autom. Remote Control, 65:8 (2004), 1177–1186
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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