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http://hdl.handle.net/1942/25619
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DC Field | Value | Language |
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dc.contributor.author | Seus, David | - |
dc.contributor.author | MITRA, Koondanibha | - |
dc.contributor.author | POP, Sorin | - |
dc.contributor.author | Radu, Florin Adrian | - |
dc.contributor.author | Rohde, Christian | - |
dc.date.accessioned | 2018-03-02T09:23:39Z | - |
dc.date.available | 2018-03-02T09:23:39Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 333, p. 331-355 | - |
dc.identifier.issn | 0045-7825 | - |
dc.identifier.uri | http://hdl.handle.net/1942/25619 | - |
dc.description.abstract | The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains separated by a fixed interface . This leads to two problems defined on the subdomains which are coupled through conditions expressing flux and pressure continuity at . After an Euler implicit discretisation of the resulting nonlinear subproblems, a linear iterative (-type) domain decomposition scheme is proposed. The convergence of the scheme is proved rigorously. In the last part we present numerical results that are in line with the theoretical finding, in particular the convergence of the scheme under mild restrictions on the time step size. We further compare the scheme to other approaches not making use of a domain decomposition. Namely, we compare to a Newton and a Picard scheme. We show that the proposed scheme is more stable than the Newton scheme while remaining comparable in computational time, even if no parallelisation is being adopted. After presenting a parametric study that can be used to optimise the proposed scheme, we briefly discuss the effect of parallelisation and give an example of a four-domain implementation. | - |
dc.description.sponsorship | The Netherlands Organisation for Scientific Research NWO Visitors Grant 040.11.499, the Odysseus programme of the Research Foundation - Flanders FWO (G0G1316N), UHasselt Special Research Fund project BOF17BL04, the Norwegian Research Council projects NRC 255510 (CHI) and NRC255426 (IMMENS), Shell-NWO/FOM CSER programme (project 14CSER016), the German Research Foundation through IRTG 1398 NUPUS (project B17). | - |
dc.language.iso | en | - |
dc.rights | (C) 2018 Elsevier B.V. All rights reserved | - |
dc.subject.other | domain decomposition; L-scheme linearisation; Richards equation; unsaturated porous media flow | - |
dc.title | A linear domain decomposition method for partially saturated flow in porous media | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 355 | - |
dc.identifier.spage | 331 | - |
dc.identifier.volume | 333 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Seus, D (reprint author), Inst Appl Anal & Numer Simulat, Chair Appl Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany, david.seus@ians.uni-stuttgart.de | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.cma.2018.01.029 | - |
dc.identifier.isi | 000427785000015 | - |
dc.identifier.url | http://www.uhasselt.be/Documents/CMAT/Preprints/2017/UP1708.pdf | - |
dc.identifier.url | https://arxiv.org/abs/1708.03224 | - |
item.fullcitation | Seus, David; MITRA, Koondanibha; POP, Sorin; Radu, Florin Adrian & Rohde, Christian (2018) A linear domain decomposition method for partially saturated flow in porous media. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 333, p. 331-355. | - |
item.validation | ecoom 2019 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.contributor | Seus, David | - |
item.contributor | MITRA, Koondanibha | - |
item.contributor | POP, Sorin | - |
item.contributor | Radu, Florin Adrian | - |
item.contributor | Rohde, Christian | - |
crisitem.journal.issn | 0045-7825 | - |
crisitem.journal.eissn | 1879-2138 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S0045782518300318-main.pdf Restricted Access | Published version | 1.55 MB | Adobe PDF | View/Open Request a copy |
1708.03224.pdf | Peer-reviewed author version | 1.59 MB | Adobe PDF | View/Open |
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