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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 282–287 (Mi zvmmf183)  
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of an unsteady moving-boundary flow in a porous medium by the generalized method of integral relations

R. A. Mustafaev

Institute of Cybernetics, National Academy of Sciences of Azerbaijan, ul. F. Agaeva 9, Baku, Az1141, Azerbaijan
Full-text PDF (751 kB) Citations (2)
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Abstract: Dorodnicyn's generalized method of integral relations is used to compute a Verigin-type single-phase unsteady flow in a porous medium. This problem describes the pumping of a gas through a gallery in a bounded horizontal aquifer and is associated with underground gas storage in aquifers. The case of an isothermal process and an ideal gas are considered. The viscosity of the gas is neglected. Sines are used as smoothing functions. The results obtained in the first and third approximations are presented and analyzed. The solution is compared with a finite-difference solution and that produced by the method of integral relations. The results are given in a table.
Key words: unsteady moving-boundary flow in a porous medium, generalized method of integral relations, numerical experiment.
Received: 27.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 269–274
DOI: https://doi.org/10.1007/s11470-008-2009-z
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: R. A. Mustafaev, “Calculation of an unsteady moving-boundary flow in a porous medium by the generalized method of integral relations”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 282–287; Comput. Math. Math. Phys., 48:2 (2008), 269–274
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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