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- Title
Accelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods.
- Authors
Diaz Cortés, Gabriela Berenice; Vuik, Cornelis; Jansen, Jan-Dirk
- Abstract
We explore and develop a Proper Orthogonal Decomposition (POD)-based deflation method for the solution of ill-conditioned linear systems, appearing in simulations of two-phase flow through highly heterogeneous porous media. We accelerate the convergence of a Preconditioned Conjugate Gradient (PCG) method achieving speed-ups of factors up to five. The up-front extra computational cost of the proposed method depends on the number of deflation vectors. The POD-based deflation method is tested for a particular problem and linear solver; nevertheless, it can be applied to various transient problems, and combined with multiple solvers, e.g., Krylov subspace and multigrid methods.
- Subjects
MULTIGRID methods (Numerical analysis); KRYLOV subspace; LINEAR systems; PROPER orthogonal decomposition; PRICE deflation; POROUS materials; FLOW simulations; RESERVOIRS; TWO-phase flow
- Publication
Computational Geosciences, 2021, Vol 25, Issue 5, p1621
- ISSN
1420-0597
- Publication type
Article
- DOI
10.1007/s10596-021-10041-6