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
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.
unsteady moving-boundary flow in a porous medium, generalized method of integral relations, numerical experiment.
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Computational Mathematics and Mathematical Physics, 2008, 48:2, 269–274
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
\paper Calculation of an unsteady moving-boundary flow in a~porous medium by the generalized method of integral relations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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R. A. Mustafaev, “Approximate computation of unsteady moving-boundary flows in a porous medium”, Comput. Math. Math. Phys., 51:9 (2011), 1633–1643
A. G. Podgaev, K. V. Lisenkov, “Razreshimost kvazilineinogo parabolicheskogo uravneniya v oblasti s kusochno-monotonnoi granitsei”, Dalnevost. matem. zhurn., 13:2 (2013), 250–272
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