| Инд. авторы: | Itkina N.B., Markov S.I. |
| Заглавие: | Determining an effective permeability tensor in anisotropic media |
| Библ. ссылка: | Itkina N.B., Markov S.I. Determining an effective permeability tensor in anisotropic media // ТРУДЫ XIII МЕЖДУНАРОДНОЙ НАУЧНО-ТЕХНИЧЕСКОЙ КОНФЕРЕНЦИИ АКТУАЛЬНЫЕ ПРОБЛЕМЫ ЭЛЕКТРОННОГО ПРИБОРОСТРОЕНИЯ: Proceedings: in 12 volumes. - 2016. - Vol.1, Part 2. - Новосибирск: Новосибирский государственный технический университет. - P.538-543. - ISBN: 978-5-7782-2992-5 (т. 1). |
| Внешние системы: | РИНЦ: 27322512; |
| Реферат: | eng: In this paper, we propose a modern mathemati-cal method for solving filtration problems in anisotropic media. We present a discrete variational formulation for a Multi-scale Discon-tinuous Galerkin Method (DG-method) with special stabilizing pa-rameters. DG-method is used for solving the Darcy problem with full permeability tensor of the second rank. Recommendations on selecting computational scheme stabilizing parameters are pro-posed. A problem of homogenizing the heterogeneous medium with nonperiodic inclusions is considered. An algorithm for solving an inversion data problem using the Fletcher-Reeves gradient method is given. Mathematical modeling results of solving the Darcy prob-lem in the anisotropic heterogeneous and efficient media are given. A comparative analysis of the obtained mathematical modeling re-sults is carried out. |
| Ключевые слова: | filtration; absolute permeability tensor; homogeniza-tion; discontinuous Galerkin method; |
| Издано: | 2016 |
| Физ. характеристика: | с.538-543 |
| Конференция: | Название: XIII Международная научно-техническая конференция «Актуальные проблемы электронного приборостроения» Аббревиатура: АПЭП–2016 Город: Новосибирск Страна: Россия Даты проведения: 2016-10-03 - 2016-10-06 Ссылка: http://apeie.conf.nstu.ru/apeie2016/ |
| Цитирование: | 1. A. Bourgeat, A. Piatnitski. Approximations of effective coefficients in sto-chastic homogenization // Elsevier SAS 2004. Ann. I. H. Poincaré - PR 40 (2004) pp. 153-165. 2. E. A. Borges da Silva, D. P. Souza, A. A. Ulson de Souza. Prediction of effective diffusivity tensors for bulk diffusion with chemical reactions in po-rous media // Brazilian Journal of Chemical Engineering / Vol. 24, No. 01, pp. 47 - 60, January - March, 2007. 3. B. Amaziane, A. Bourgeat, M. El Ossmani, M. Jurak and J. Koebbe. Ho-mogenizer++: a platform for upscaling multiphase ows in heterogeneous po-rous media // Monografías del Seminario Matemático García de Galdeano 33, pp. 395-402 (2006). 4. Varvara G. Kouznetsova. Computational homogenization for the multi-scale analysis of multi-phase materials / by Dale Morgan. - Eindhoven : Tech-nische Universiteit Eindhoven, 2002. Proefschrift. - ISBN 90-386-2734-3 NUR 971 5. D.N.Arnold, F.Brezzi, B.Cocburn, D.Marini. Unified analysis of discontinu-ous Galerkin methods for elliptic problems //SIAM J. Numer. Anal. 2002. V.39. 6. B.Cocburn. Discontinuous Galerkin methods for convection-dominated problems //In High -Order Methods for Computational Physics, v.9, 2005, Springer, pp.69-224. 7. N. Zabciras. Inverse problems in heat transfer [Text]: P. / Stanford Universi-ty. - 2004. |
