期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 299, 期 -, 页码 487-525出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.06.029
关键词
Conservative level-set method; Consistent re-initialization; Localized signed distance function; Interface capture; Multiphase flows
资金
- German Research Foundation (DFG) [WA: 3098/3-1, AOBJ: 595642]
In this paper, a new re-initialization method for the conservative level-set function is put forward. First, it has been shown that the re-initialization and advection equations of the conservative level-set function are mathematically equivalent to the re-initialization and advection equations of the localized signed distance function. Next, a new discretization for the spatial derivatives of the conservative level-set function has been proposed. This new discretization is consistent with the re-initialization procedure and it guarantees a second-order convergence rate of the interface curvature on gradually refined grids. The new re-initialization method does not introduce artificial deformations to stationary and non-stationary interfaces, even when the number of re-initialization steps is large. (C) 2015 Elsevier Inc. All rights reserved.
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