dc.contributor |
Háskóli Íslands |
dc.contributor |
University of Iceland |
dc.contributor.author |
Helgadottir, Asdis |
dc.contributor.author |
Ng, Yen Ting |
dc.contributor.author |
Min, Chohong |
dc.contributor.author |
Gibou, Frédéric |
dc.date.accessioned |
2019-05-07T13:31:44Z |
dc.date.available |
2019-05-07T13:31:44Z |
dc.date.issued |
2015-10 |
dc.identifier.citation |
Ásdís Helgadóttir, Yen Ting Ng, Chohong Min, Frédéric Gibou, Imposing mixed Dirichlet–Neumann–Robin boundary conditions in a level-set framework, Computers & Fluids, Volume 121, 2015, Pages 68-80, ISSN 0045-7930, https://doi.org/10.1016/j.compfluid.2015.08.007 |
dc.identifier.issn |
0045-7930 |
dc.identifier.uri |
https://hdl.handle.net/20.500.11815/1153 |
dc.description |
Pre-print (óritrýnt handrit) |
dc.description.abstract |
We consider the Poisson equation with mixed Dirichlet, Neumann and Robin boundary conditions on irregular domains. We describe a straightforward and efficient approach for imposing the mixed boundary conditions using a hybrid finite-volume/finite-difference approach, leveraging on the work of Gibou et al. (2002) [14], Ng et al. (2009) [30] and Papac et al. (2010) [33]. We utilize three different level set functions to represent the irregular boundary at which each of the three different boundary conditions must be imposed; as a consequence, this approach can be applied to moving boundaries. The method is straightforward to implement, produces a symmetric positive definite linear system and second-order accurate solutions in the L-infinity-norm in two and three spatial dimensions. Numerical examples illustrate the second-order accuracy and the robustness of the method. (C) 2015 Elsevier Ltd. All rights reserved. |
dc.description.sponsorship |
The research of Á. Helgadóttir, Y.T. Ng and F. Gibou were supported in part by ONR under grant agreement N00014-11-1-0027, by the National Science Foundation under grant agreement CHE 1027817 and by the W.M. Keck Foundation. The research of C. Min was supported in part by the Kyung Hee University Research Fund (KHU-20070608) in 2007 and by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2008-331-C00045). |
dc.format.extent |
68-80 |
dc.language.iso |
en |
dc.publisher |
Elsevier BV |
dc.relation.ispartofseries |
Computers & Fluids;121 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Finite difference |
dc.subject |
Level set |
dc.subject |
Mixed boundary conditions |
dc.subject |
Töluleg greining |
dc.subject |
Líkindafræði |
dc.title |
Imposing mixed Dirichlet–Neumann–Robin boundary conditions in a level-set framework |
dc.type |
info:eu-repo/semantics/article |
dc.identifier.journal |
Computers & Fluids |
dc.identifier.doi |
10.1016/j.compfluid.2015.08.007 |
dc.contributor.department |
Iðnaðarverkfræði-, vélaverkfræði- og tölvunarfræðideild (HÍ) |
dc.contributor.department |
Faculty of Industrial Eng., Mechanical Eng. and Computer Science (UI) |
dc.contributor.school |
Verkfræði- og náttúruvísindasvið (HÍ) |
dc.contributor.school |
School of Engineering and Natural Sciences (UI) |