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

Title
Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework
Authors
Helgadottir, AsdisNg, Yen TingMin, ChohongGibou, Frederic
Ewha Authors
민조홍
SCOPUS Author ID
민조홍scopus
Issue Date
2015
Journal Title
COMPUTERS & FLUIDS
ISSN
0045-7930JCR Link

1879-0747JCR Link
Citation
COMPUTERS & FLUIDS vol. 121, pp. 68 - 80
Keywords
Finite differenceLevel setMixed boundary conditions
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Indexed
SCI; SCIE; SCOPUS WOS
Document Type
Article
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.
DOI
10.1016/j.compfluid.2015.08.007
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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