Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method
- Authors: Vasil’ev V.I.1, Vasil’eva M.V.1, Gladkikh V.S.2, Ilin V.P.2,3, Nikiforov D.Y.1, Perevozkin D.V.2, Prokop’ev G.A.1
-
Affiliations:
- Ammosov North-Eastern Federal University
- Institute of Computational Mathematics and Mathematical Geophysics
- Novosibirsk State University
- Issue: Vol 12, No 4 (2018)
- Pages: 785-796
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213136
- DOI: https://doi.org/10.1134/S199047891804018X
- ID: 213136
Cite item
Abstract
Under consideration are the numerical methods for simulation of a fluid flow in fractured porous media. The fractures are taken into account explicitly by using a discrete fracture model. The formulated single-phase filtering problem is approximated by an implicit finite element method on unstructured grids that resolve fractures at the grid level. The systems of linear algebraic equations (SLAE) are solved by the iterative methods of domain decomposition in the Krylov subspaces using the KRYLOVlibrary of parallel algorithms. The results of solving some model problem are presented. A study is conducted of the efficiency of the computational implementation for various values of contrast coefficients which significantly affect the condition number and the number of iterations required for convergence of the method.
About the authors
V. I. Vasil’ev
Ammosov North-Eastern Federal University
Author for correspondence.
Email: vasvasil@mail.ru
Russian Federation, ul. Belinskogo 58, Yakutsk, 677000
M. V. Vasil’eva
Ammosov North-Eastern Federal University
Email: vasvasil@mail.ru
Russian Federation, ul. Belinskogo 58, Yakutsk, 677000
V. S. Gladkikh
Institute of Computational Mathematics and Mathematical Geophysics
Email: vasvasil@mail.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090
V. P. Ilin
Institute of Computational Mathematics and Mathematical Geophysics; Novosibirsk State University
Email: vasvasil@mail.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
D. Ya. Nikiforov
Ammosov North-Eastern Federal University
Email: vasvasil@mail.ru
Russian Federation, ul. Belinskogo 58, Yakutsk, 677000
D. V. Perevozkin
Institute of Computational Mathematics and Mathematical Geophysics
Email: vasvasil@mail.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090
G. A. Prokop’ev
Ammosov North-Eastern Federal University
Email: vasvasil@mail.ru
Russian Federation, ul. Belinskogo 58, Yakutsk, 677000