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Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method. / Vasil’ev, V. I.; Vasil’eva, M. V.; Gladkikh, V. S. et al.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 4, 01.10.2018, p. 785-796.

Research output: Contribution to journal › Article › peer-review

Harvard

Vasil’ev, VI, Vasil’eva, MV, Gladkikh, VS, Ilin, VP, Nikiforov, DY, Perevozkin, DV & Prokop’ev, GA 2018, 'Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method', Journal of Applied and Industrial Mathematics, vol. 12, no. 4, pp. 785-796. https://doi.org/10.1134/S199047891804018X

APA

Vasil’ev, V. I., Vasil’eva, M. V., Gladkikh, V. S., Ilin, V. P., Nikiforov, D. Y., Perevozkin, D. V., & Prokop’ev, G. A. (2018). Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method. Journal of Applied and Industrial Mathematics, 12(4), 785-796. https://doi.org/10.1134/S199047891804018X

Vancouver

Vasil’ev VI, Vasil’eva MV, Gladkikh VS, Ilin VP, Nikiforov DY, Perevozkin DV et al. Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method. Journal of Applied and Industrial Mathematics. 2018 Oct 1;12(4):785-796. doi: 10.1134/S199047891804018X

Author

Vasil’ev, V. I. ; Vasil’eva, M. V. ; Gladkikh, V. S. et al. / Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method. In: Journal of Applied and Industrial Mathematics. 2018 ; Vol. 12, No. 4. pp. 785-796.

BibTeX

@article{67c5d5a059a0412d8d028f5a19ace228,
title = "Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method",
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.",
keywords = "approximation, discrete fracture model, filtering, finite element method, flow rate, fracturedmedium, iterative method, unstructured grid",
author = "Vasil{\textquoteright}ev, {V. I.} and Vasil{\textquoteright}eva, {M. V.} and Gladkikh, {V. S.} and Ilin, {V. P.} and Nikiforov, {D. Ya} and Perevozkin, {D. V.} and Prokop{\textquoteright}ev, {G. A.}",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = oct,
day = "1",
doi = "10.1134/S199047891804018X",
language = "English",
volume = "12",
pages = "785--796",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Numerical Solution of a Fluid Filtration Problem in a Fractured Medium by Using the Domain Decomposition Method

AU - Vasil’ev, V. I.

AU - Vasil’eva, M. V.

AU - Gladkikh, V. S.

AU - Ilin, V. P.

AU - Nikiforov, D. Ya

AU - Perevozkin, D. V.

AU - Prokop’ev, G. A.

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - 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.

AB - 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.

KW - approximation

KW - discrete fracture model

KW - filtering

KW - finite element method

KW - flow rate

KW - fracturedmedium

KW - iterative method

KW - unstructured grid

UR - http://www.scopus.com/inward/record.url?scp=85058085185&partnerID=8YFLogxK

U2 - 10.1134/S199047891804018X

DO - 10.1134/S199047891804018X

M3 - Article

AN - SCOPUS:85058085185

VL - 12

SP - 785

EP - 796

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 17831519