MIT Libraries homeMIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

A space-time adaptive method for reservoir flows: formulation and one-dimensional application

Author(s)
Burgess, Nicholas K.; Jayasinghe, Yashod Savithru; Darmofal, David L; Galbraith, Marshall C.; Allmaras, Steven R.
Thumbnail
Download10596_2017_9673_ReferencePDF.pdf (2.857Mb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
This paper presents a space-time adaptive framework for solving porous media flow problems, with specific application to reservoir simulation. A fully unstructured mesh discretization of space and time is used instead of a conventional time-marching approach. A space-time discontinuous Galerkin finite element method is employed to achieve a high-order discretization on the anisotropic, unstructured meshes. Anisotropic mesh adaptation is performed to reduce the error of a specified output of interest, by using a posteriori error estimates from the dual-weighted residual method to drive a metric-based mesh optimization algorithm. The space-time adaptive method is tested on a one-dimensional two-phase flow problem, and is found to be more efficient in terms of computational cost (degrees-of-freedom and total runtime) required to achieve a specified output error level, when compared to a conventional first-order time-marching finite volume method and the space-time discontinuous Galerkin method on structured meshes. Keywords: Unstructured space-time methods, Anisotropic mesh adaptation, Discontinuous Galerkin, High-order, Two-phase flow
Date issued
2017-06
URI
http://hdl.handle.net/1721.1/114425
Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Journal
Computational Geosciences
Publisher
Springer International Publishing
Citation
Jayasinghe, Savithru, et al. “A Space-Time Adaptive Method for Reservoir Flows: Formulation and One-Dimensional Application.” Computational Geosciences, vol. 22, no. 1, Feb. 2018, pp. 107–23.
Version: Author's final manuscript
ISSN
1420-0597
1573-1499

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries homeMIT Libraries logo

Find us on

Twitter Facebook Instagram YouTube RSS

MIT Libraries navigation

SearchHours & locationsBorrow & requestResearch supportAbout us
PrivacyPermissionsAccessibility
MIT
Massachusetts Institute of Technology
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.