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Assessment and modification of sub-cell-fix method for re-initialization of level-set distance function

Sun, M. B.; Wang, Z. G. and Bai, Xue-Song LU (2010) In International Journal for Numerical Methods in Fluids 62(2). p.211-236
Abstract
Sub-cell-fix re-initialization method was proposed by Russo and Smereka (J. Comput. Phys. 2000; 163: 51-67) as a modification to the re-distancing, algorithm Of Sussman et al. (J. Comput. Phys. 1994; 114: 146-159) that determines the distance function from an interface known as the zero level-set. The principal goal of sub-cell-fix method is to compute the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. Following the original work of Russo and Smereka, several improved sub-cell-fix schemes were reported in the literature. In this paper, we show that in certain situations almost all the previous sub-cell-fix schemes can disturb the zero level-set, and the accuracy would not... (More)
Sub-cell-fix re-initialization method was proposed by Russo and Smereka (J. Comput. Phys. 2000; 163: 51-67) as a modification to the re-distancing, algorithm Of Sussman et al. (J. Comput. Phys. 1994; 114: 146-159) that determines the distance function from an interface known as the zero level-set. The principal goal of sub-cell-fix method is to compute the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. Following the original work of Russo and Smereka, several improved sub-cell-fix schemes were reported in the literature. In this paper, we show that in certain situations almost all the previous sub-cell-fix schemes can disturb the zero level-set, and the accuracy would not improve when the CFL numbers are decreased. Based on the scheme of Hartmann et al. (J Comput. Phys. 2008; 227:6821-6845), we propose all improved sub-cell-fix scheme that can significantly increase the accuracy of sub-cell-fix method on problems that are challenging. The scheme makes use of a combination of the points adjacent to zero level-set surfaces and preserves the interface in a second-order accuracy. The new sub-cell-fix scheme is capable of handling large local Curvature, and as a result it demonstrates satisfactory performance on several challenging test cases. Limitations of the schemes on highly stretched grids are illustrated. Copyright (C) 2009 John Wiley & Sons, Ltd. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
method, sub-cell-fix, level-set equation, re-initialization, distance function
in
International Journal for Numerical Methods in Fluids
volume
62
issue
2
pages
211 - 236
publisher
John Wiley & Sons
external identifiers
  • wos:000273169500005
  • scopus:77950333162
ISSN
1097-0363
DOI
10.1002/fld.2204
language
English
LU publication?
yes
id
f8709abe-6b02-40a2-8c74-36447e4389b0 (old id 1533667)
date added to LUP
2010-01-27 15:36:59
date last changed
2018-05-29 12:31:26
@article{f8709abe-6b02-40a2-8c74-36447e4389b0,
  abstract     = {Sub-cell-fix re-initialization method was proposed by Russo and Smereka (J. Comput. Phys. 2000; 163: 51-67) as a modification to the re-distancing, algorithm Of Sussman et al. (J. Comput. Phys. 1994; 114: 146-159) that determines the distance function from an interface known as the zero level-set. The principal goal of sub-cell-fix method is to compute the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. Following the original work of Russo and Smereka, several improved sub-cell-fix schemes were reported in the literature. In this paper, we show that in certain situations almost all the previous sub-cell-fix schemes can disturb the zero level-set, and the accuracy would not improve when the CFL numbers are decreased. Based on the scheme of Hartmann et al. (J Comput. Phys. 2008; 227:6821-6845), we propose all improved sub-cell-fix scheme that can significantly increase the accuracy of sub-cell-fix method on problems that are challenging. The scheme makes use of a combination of the points adjacent to zero level-set surfaces and preserves the interface in a second-order accuracy. The new sub-cell-fix scheme is capable of handling large local Curvature, and as a result it demonstrates satisfactory performance on several challenging test cases. Limitations of the schemes on highly stretched grids are illustrated. Copyright (C) 2009 John Wiley & Sons, Ltd.},
  author       = {Sun, M. B. and Wang, Z. G. and Bai, Xue-Song},
  issn         = {1097-0363},
  keyword      = {method,sub-cell-fix,level-set equation,re-initialization,distance function},
  language     = {eng},
  number       = {2},
  pages        = {211--236},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Fluids},
  title        = {Assessment and modification of sub-cell-fix method for re-initialization of level-set distance function},
  url          = {http://dx.doi.org/10.1002/fld.2204},
  volume       = {62},
  year         = {2010},
}