Assessment and modification of sub-cell-fix method for re-initialization of level-set distance function
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1533667
- author
- Sun, M. B. ; Wang, Z. G. and Bai, Xue-Song LU
- organization
- publishing date
- 2010
- 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 Inc.
- 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
- 2016-04-01 10:18:09
- date last changed
- 2022-01-25 21:56:07
@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}},
keywords = {{method; sub-cell-fix; level-set equation; re-initialization; distance function}},
language = {{eng}},
number = {{2}},
pages = {{211--236}},
publisher = {{John Wiley & Sons Inc.}},
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}},
doi = {{10.1002/fld.2204}},
volume = {{62}},
year = {{2010}},
}