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http://hdl.handle.net/1942/39621
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DC Field | Value | Language |
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dc.contributor.author | Illiano, Davide | - |
dc.contributor.author | BOTH, Jakub | - |
dc.contributor.author | POP, Sorin | - |
dc.contributor.author | Radu, Florin Adrian | - |
dc.date.accessioned | 2023-03-01T14:40:18Z | - |
dc.date.available | 2023-03-01T14:40:18Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2023-02-22T11:22:19Z | - |
dc.identifier.citation | ROMAI Journal, 18 (1) , p. 31 -73 | - |
dc.identifier.uri | http://hdl.handle.net/1942/39621 | - |
dc.description.abstract | We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flow model component builds on the Richards equation, modified to incorporate nonstandard effects like dynamic capillarity and hysteresis, and a reactive transport equation for the solute. The two model components are strongly coupled. On one hand, the flow affects the concentration of the solute; on the other hand, the surface tension is a function of the solute, which impacts the capillary pressure and, consequently, the flow. After applying an Euler implicit scheme, we consider a set of iterative linearization schemes to solve the resulting nonlinear equations, including both monolithic and two-splitting strategies. The latter include a canonical nonlinear splitting and an alternate linearized splitting, which appears to be overall faster in terms of number of iterations, based on our numerical studies. The (time discrete) system being nonlinear, we investigate different linearization methods. We consider the linearly convergent L-scheme, which converges unconditionally, and the Newton method, converging quadratically but subject to restrictions on the initial guess. Whenever hysteresis effects are included, the Newton method fails to converge. The L-scheme converges; nevertheless, it may require many iterations. This aspect is improved by using the Anderson acceleration. A thorough comparison of the different solving strategies is presented in five numerical examples, implemented in MRST, a toolbox based on MATLAB. | - |
dc.description.sponsorship | The research of D. Illiano was funded by VISTA, a collaboration between the NorwegianAcademy of Science and Letters and Equinor, project number 6367, project name: adaptive model and solver simulation of enhanced oil recovery. The research of J.W. Both was supported by the Research Council of Norway Project 250223, as well as the FracFlow project funded by Equinor through Akademiaavtalen. The research of I.S. Pop was supported by the Research Foundation-Flanders (FWO), Belgium through the Odysseus programme (project G0G1316N) and Equinor through the Akademia grant. | - |
dc.language.iso | en | - |
dc.publisher | The Romanian Society of Applied and Industrial Mathematics | - |
dc.subject.other | flow and reactive transport in porous media | - |
dc.subject.other | dynamic capillarity | - |
dc.subject.other | hysteresis | - |
dc.subject.other | Richards equation | - |
dc.subject.other | Euler implicit scheme | - |
dc.subject.other | L-scheme | - |
dc.subject.other | Anderson acceleration 2010 MSC: 65N22 | - |
dc.title | Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 73 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 31 | - |
dc.identifier.volume | 18 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | Bucharest, Romania | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.status | Early view | - |
dc.identifier.doi | 10.48550/arXiv.2012.14773 | - |
dc.identifier.url | https://arxiv.org/abs/2012.14773 | - |
local.provider.type | - | |
local.uhasselt.international | yes | - |
local.contributor.datacreator | Illiano, Davide | - |
local.contributor.datacreator | Both, Jakub Wiktor | - |
local.contributor.datacreator | Pop, Iuliu Sorin | - |
local.contributor.datacreator | Radu, Florin Adrian | - |
dc.rights.access | Creative Commons Attribution 4.0 International | - |
item.fullcitation | Illiano, Davide; BOTH, Jakub; POP, Sorin & Radu, Florin AdrianIlliano, Davide; Both, Jakub Wiktor; Pop, Iuliu Sorin & Radu, Florin Adrian (2022) Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media. ROMAI Journal, 18 (1) , p. 31 -73. | - |
item.validation | vabb 2024 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted Access | - |
item.contributor | Illiano, Davide | - |
item.contributor | BOTH, Jakub | - |
item.contributor | POP, Sorin | - |
item.contributor | Radu, Florin Adrian | - |
item.contributor | Both, Jakub Wiktor | - |
item.contributor | Pop, Iuliu Sorin | - |
crisitem.journal.issn | 1841-5512 | - |
crisitem.journal.eissn | 2065-7714 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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illiano-rj-18-1.pdf Restricted Access | Early view | 3.83 MB | Adobe PDF | View/Open Request a copy |
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