Adaptive linear solution process for single-phase Darcy flow

Adaptive linear solution process for single-phase Darcy flow

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 targe...

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Main Authors: Anciaux-Sedrakian Ani, Grigori Laura, Jorti Zakariae, Yousef Soleiman
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:Oil & Gas Science and Technology
Online Access:https://ogst.ifpenergiesnouvelles.fr/articles/ogst/full_html/2020/01/ogst190367/ogst190367.html
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spelling doaj-6c02b68fc0f846e5885a47108f45bc972021-04-02T14:40:08ZengEDP SciencesOil & Gas Science and Technology1294-44751953-81892020-01-01755410.2516/ogst/2020050ogst190367Adaptive linear solution process for single-phase Darcy flowAnciaux-Sedrakian Ani0Grigori Laura1Jorti Zakariaehttps://orcid.org/0000-0003-4471-6548Yousef Soleiman2https://orcid.org/0000-0003-2458-6264IFP Energies nouvellesINRIA Paris, Alpines, and Sorbonne Université, CNRS UMR 7598, Laboratoire Jacques-Louis LionsIFP Energies nouvellesThis 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.https://ogst.ifpenergiesnouvelles.fr/articles/ogst/full_html/2020/01/ogst190367/ogst190367.html
collection DOAJ
language English
format Article
sources DOAJ
author Anciaux-Sedrakian Ani
Grigori Laura
Jorti Zakariae
Yousef Soleiman
spellingShingle Anciaux-Sedrakian Ani
Grigori Laura
Jorti Zakariae
Yousef Soleiman
Adaptive linear solution process for single-phase Darcy flow
Oil & Gas Science and Technology
author_facet Anciaux-Sedrakian Ani
Grigori Laura
Jorti Zakariae
Yousef Soleiman
author_sort Anciaux-Sedrakian Ani
title Adaptive linear solution process for single-phase Darcy flow
title_short Adaptive linear solution process for single-phase Darcy flow
title_full Adaptive linear solution process for single-phase Darcy flow
title_fullStr Adaptive linear solution process for single-phase Darcy flow
title_full_unstemmed Adaptive linear solution process for single-phase Darcy flow
title_sort adaptive linear solution process for single-phase darcy flow
publisher EDP Sciences
series Oil & Gas Science and Technology
issn 1294-4475
1953-8189
publishDate 2020-01-01
description 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.
url https://ogst.ifpenergiesnouvelles.fr/articles/ogst/full_html/2020/01/ogst190367/ogst190367.html
work_keys_str_mv AT anciauxsedrakianani adaptivelinearsolutionprocessforsinglephasedarcyflow
AT grigorilaura adaptivelinearsolutionprocessforsinglephasedarcyflow
AT jortizakariae adaptivelinearsolutionprocessforsinglephasedarcyflow
AT yousefsoleiman adaptivelinearsolutionprocessforsinglephasedarcyflow
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