Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework
- 주제(키워드) Finite difference , Level set , Mixed boundary conditions
- 주제(기타) Computer Science, Interdisciplinary Applications
- 주제(기타) Mechanics
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 PERGAMON-ELSEVIER SCIENCE LTD
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000161964
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.compfluid.2015.08.007
초록/요약
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.
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