Solving of three-phase flow equations with hydrodynamically imperfect wells on heterogeneous computing systems
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 71-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The work is aimed to solve the important problems of underground fluid mechanics, i.e. the multiphase fluid filtration problems. To solve these problems, new numerical algorithms based on domain decomposition methods have been developed. These algorithms have been realized on new generation heterogeneous computing systems, built using modern central processing units and graphics accelerators.
Keywords: decomposition methods, multiphase flows, heterogeneous computing systems.
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A. V. Tsepaev. Solving of three-phase flow equations with hydrodynamically imperfect wells on heterogeneous computing systems. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 71-79. http://geodesic.mathdoc.fr/item/UZKU_2013_155_3_a7/

[1] Chen Z., Huan G., Ma Y., Computational methods for multiphase flows in porous media, SIAM, 2006, 557 pp. | MR

[2] Basniev K. S., Vlasov A. M., Kochina I. M., Maksimov V. M., Podzemnaya gidravlika, Nedra, M., 1986, 303 pp.

[3] Azis Kh., Settari E., Matematicheskoe modelirovanie plastovykh sistem, Nedra, M., 1982, 407 pp.

[4] Mazurov P. A., Tsepaev A. V., “Algoritmy dlya rasparallelivaniya resheniya zadach dvukhfaznoi filtratsii zhidkosti na setkakh so sguschayuschimisya uchastkami”, Vychisl. metody i programmirovanie, 7:2 (2006), 115–123

[5] Mazurov P. A., Tsepaev A. V., “Metod resheniya nelineinykh zadach filtratsii zhidkosti v trekhmernykh plastakh s gidrodinamicheski nesovershennymi skvazhinami”, Matem. modelirovanie, 16:3 (2004), 33–42 | Zbl

[6] Gubaidullin D. A., Mazurov P. A., Tsepaev A. V., “Algoritm resheniya trekhmernykh zadach naporno-beznapornoi statsionarnoi filtratsii zhidkosti so sguschayuschimisya uchastkami setki”, Vychisl. metody i programmirovanie, 6:2 (2005), 217–225

[7] Gubaidullin D. A., Nikiforov A. I., Tsepaev A. V., “Algoritmy rasparallelivaniya na sguschayuschikhsya setkakh v zadachakh trekhfaznoi filtratsii zhidkosti”, Vychisl. metody i programmirovanie, 8:2 (2007), 360–366

[8] Tsepaev A. V., “Ispolzovanie geterogennykh vychislitelnykh sistem dlya resheniya zadach filtratsii zhidkosti metodami dekompozitsii oblasti”, Vychisl. metody i programmirovanie, 13:1 (2012), 39–44