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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, Asdis; Ng, Yen Ting; Min, Chohong; Gibou, Frederic
- Ewha Authors
- 민조홍
- SCOPUS Author ID
- 민조홍
- Issue Date
- 2015
- Journal Title
- COMPUTERS & FLUIDS
- ISSN
- 0045-7930
1879-0747
- Citation
- COMPUTERS & FLUIDS vol. 121, pp. 68 - 80
- Keywords
- Finite difference; Level set; Mixed boundary conditions
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Indexed
- SCIE; SCOPUS
- 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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