A space-time adaptive method for reservoir flows: formulation and one-dimensional application
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10596_2017_9673_ReferencePDF.pdf
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Author(s)
Burgess, Nicholas K.
Jayasinghe, Yashod Savithru
Darmofal, David L
Galbraith, Marshall C.
Allmaras, Steven R.
Date Issued
June 2017
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
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
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10596-017-9673-9
