Abstract:
In the work multiphase fluid flows in a layered porous medium are investigated numerically taking into account capillary and gravity forces. Developed computational algorithms are approved by a number of test problems of two- and three-phase flows. The proposed approach can be employed to solve applied ecological problems connected with contamination of the soil and the ground water by petroleum products and other agents.
Citation:
N. V. Isupov, M. A. Trapeznikova, N. G. Churbanova, E. V. Shilnikov, “Simulation of multiphase fluid infiltration processes in a layered porous medium”, Mat. Model., 22:6 (2010), 84–98; Math. Models Comput. Simul., 3:1 (2011), 35–45
This publication is cited in the following 4 articles:
E. V. Shilnikov, O. N. Bozorov, “Chislennoe issledovanie tochnosti i ustoichivosti metoda relaksatsii potokov”, Preprinty IPM im. M. V. Keldysha, 2019, 139, 12 pp.
E. E. Myshetskaya, V. F. Tishkin, “Otsenki vliyaniya giperbolizatsii dlya uravneniya teploprovodnosti”, Preprinty IPM im. M. V. Keldysha, 2015, 016, 12 pp.
E. E. Myshetskaya, V. F. Tishkin, “Estimates of the hyperbolization effect on the heat equation”, Comput. Math. Math. Phys., 55:8 (2015), 1270–1275
A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Three phase filtration modeling by explicit methods on hybrid computer systems”, Math. Models Comput. Simul., 6:6 (2014), 551–559