Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids
Klöfkorn, Robert LU
; Kvashchuk, Anna
and Nolte, Martin
(2017)
In Computational Geosciences
21(5-6).
p.909-919
- Abstract
Improved and enhanced oil recovery methods require sophisticated simulation tools to predict the injected flow pass together with the chemical reactions inside it. One approach is application of higher-order numerical schemes to avoid excessive numerical diffusion that is very typical for transport processes. In this work, we provide a first step towards higher-order schemes applicable on general polyhedral and corner-point grids typically used in reservoir simulation. We compare three possible approaches of linear reconstruction and slope limiting techniques on a variety of different meshes in two and three spatial dimensions and discuss advantages and disadvantages.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/41002668-3a23-4ca1-8fe5-ddfa29849f66
- author
- Klöfkorn, Robert
LU
; Kvashchuk, Anna
and Nolte, Martin
- publishing date
- 2017-12-01
- type
- Contribution to journal
- publication status
- published
- keywords
- DUNE, Linear reconstruction, OPM, Polyhedral grids, Second-order finite volume
- in
- Computational Geosciences
- volume
- 21
- issue
- 5-6
- pages
- 11 pages
- publisher
- Springer
- external identifiers
-
- scopus:85019760208
- ISSN
- 1420-0597
- DOI
- 10.1007/s10596-017-9658-8
- language
- English
- LU publication?
- no
- id
- 41002668-3a23-4ca1-8fe5-ddfa29849f66
- date added to LUP
- 2021-02-10 14:01:58
- date last changed
- 2022-04-19 04:40:38
@article{41002668-3a23-4ca1-8fe5-ddfa29849f66,
abstract = {{<p>Improved and enhanced oil recovery methods require sophisticated simulation tools to predict the injected flow pass together with the chemical reactions inside it. One approach is application of higher-order numerical schemes to avoid excessive numerical diffusion that is very typical for transport processes. In this work, we provide a first step towards higher-order schemes applicable on general polyhedral and corner-point grids typically used in reservoir simulation. We compare three possible approaches of linear reconstruction and slope limiting techniques on a variety of different meshes in two and three spatial dimensions and discuss advantages and disadvantages.</p>}},
author = {{Klöfkorn, Robert and Kvashchuk, Anna and Nolte, Martin}},
issn = {{1420-0597}},
keywords = {{DUNE; Linear reconstruction; OPM; Polyhedral grids; Second-order finite volume}},
language = {{eng}},
month = {{12}},
number = {{5-6}},
pages = {{909--919}},
publisher = {{Springer}},
series = {{Computational Geosciences}},
title = {{Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids}},
url = {{http://dx.doi.org/10.1007/s10596-017-9658-8}},
doi = {{10.1007/s10596-017-9658-8}},
volume = {{21}},
year = {{2017}},
}