Opin vísindi

Imposing mixed Dirichlet–Neumann–Robin boundary conditions in a level-set framework

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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)

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