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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 5, Pages 75–89
(Mi pmtf1794)
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Subgrid modeling of flow processes in an anisotropic fractal medium
O. N. Sobolevaa, E. P. Kurochkinab a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences, 630090 Новосибирск
Abstract:
Equations are derived for the effective coefficients of random conductivity fields in the stationary problem of flow in an anisotropic medium. For the fields, lognormal statistics is assumed. The problem is solved using the subgrid modeling method. The results of theoretical calculations are compared with the results of direct three-dimensional numerical modeling. The results of numerical and theoretical calculations are shown to be in good agreement with each other.
Keywords:
anisotropy, fractality, lognormal conductivity distribution, effective coefficients, subgrid modeling.
Received: 11.01.2008 Accepted: 04.09.2008
Citation:
O. N. Soboleva, E. P. Kurochkina, “Subgrid modeling of flow processes in an anisotropic fractal medium”, Prikl. Mekh. Tekh. Fiz., 50:5 (2009), 75–89; J. Appl. Mech. Tech. Phys., 50:5 (2009), 792–804
Linking options:
https://www.mathnet.ru/eng/pmtf1794 https://www.mathnet.ru/eng/pmtf/v50/i5/p75
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Abstract page: | 18 | Full-text PDF : | 19 |
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