Adaptive linear solution process for single-phase Darcy flow
IFP Energies nouvelles, 1 et 4 avenue de Bois-Préau, 92852 Rueil-Malmaison Cedex, France
2 INRIA Paris, Alpines, and Sorbonne Université, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France
* Corresponding author: email@example.com
Accepted: 23 June 2020
This article presents an adaptive approach for solving linear systems arising from self-adjoint Partial Differential Equations (PDE) problems discretized by cell-centered finite volume method and stemming from single-phase flow simulations. This approach aims at reducing the algebraic error in targeted parts of the domain using a posteriori error estimates. Numerical results of a reservoir simulation example for heterogeneous porous media in two dimensions are discussed. Using the adaptive solve procedure, we obtain a significant gain in terms of the number of time steps and iterations compared to a standard solve.
© A. Anciaux-Sedrakian et al., published by IFP Energies nouvelles, 2020
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