Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media-Reference-Cited by-同舟云学术

Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media

Published:2020-12-11 Issue:1 Volume:86 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Antonietti Paola F.,De Ponti Jacopo,Formaggia Luca^ORCID,Scotti Anna

Abstract

AbstractThis work deals with the efficient iterative solution of the system of equations stemming from mimetic finite difference discretization of a hybrid-dimensional mixed Darcy problem modeling flow in fractured porous media. We investigate the spectral properties of a mixed discrete formulation based on mimetic finite differences for flow in the bulk matrix and finite volumes for the fractures, and present an approximation of the factors in a set of approximate block factorization preconditioners that accelerates convergence of iterative solvers applied to the resulting discrete system. Numerical tests on significant three-dimensional cases have assessed the properties of the proposed preconditioners.

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-020-01372-0.pdf

Reference59 articles.

1. Aavatsmark, I.: An introduction to multipoint flux approximation for quadrilateral grids. Comput. Geosci. 6(3/4), 405–432 (2002). https://doi.org/10.1023/A:1021291114475

2. Aghili, J., Brenner, K., Hennicker, J., Masson, R., Trenty, L.: Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions. GEM Int. J. Geomath. 10(1), 1 (2019)

3. Al-Hinai, O., Srinivasan, S., Wheeler, M.F.: Mimetic finite differences for flow in fractures from microseismic data. In: SPE Reservoir Simulation Symposium, 23–25 February, Houston, Texas, USA. Society of Petroleum Engineers (2015)

4. Alboin, C., Jaffré, J., Roberts, J.E., Wang, X., Serres, C.: Domain decomposition for some transmission problems in flow in porous media. In: Chen, Z., Ewing, R.E., Shi, Z.C. (eds.) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol. 552, pp. 22–34. Springer, Berlin (2000)

5. Ali Beik, F.P., Benzi, M.: Iterative methods for double saddle point systems. SIAM J. Matrix Anal. Appl. 39(2), 902–921 (2018)

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