Advanced

A Modified Sub-Cell-Fix Method for Re-Initialization of Level-Set Distance Function and Its Dependence Tests on Grid Stretching

Mingbo, Sun LU ; Bai, Xue-Song LU ; Liu, Wei Dong; Liang, Jian Han and Wang, Zhen Guo (2010) In Modern Physics Letters B 24(15). p.1615-1629
Abstract
The sub-cell-fix (SCF) method proposed by Russo and Smereka(3) computes the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. A modified sub-cell-fix scheme independent of local curvature is developed in this paper, which 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. The limitations of the modified scheme on stretched grids are tested and it is found that the highly stretched grid causes large numerical errors, and needs further... (More)
The sub-cell-fix (SCF) method proposed by Russo and Smereka(3) computes the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. A modified sub-cell-fix scheme independent of local curvature is developed in this paper, which 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. The limitations of the modified scheme on stretched grids are tested and it is found that the highly stretched grid causes large numerical errors, and needs further assessment and modification. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
sub-cell-fix, level-set equation, Re-initialization, distance function, grid stretching, method
in
Modern Physics Letters B
volume
24
issue
15
pages
1615 - 1629
publisher
World Scientific
external identifiers
  • wos:000279037700001
  • scopus:77953940656
ISSN
0217-9849
DOI
10.1142/S0217984910024018
language
English
LU publication?
yes
id
52fc7641-347b-4022-835b-d87495915d7b (old id 1630003)
date added to LUP
2010-07-23 12:20:04
date last changed
2018-05-29 10:37:41
@article{52fc7641-347b-4022-835b-d87495915d7b,
  abstract     = {The sub-cell-fix (SCF) method proposed by Russo and Smereka(3) computes the distance function of the cells adjacent to the zero level-set without disturbing the original zero level-set. A modified sub-cell-fix scheme independent of local curvature is developed in this paper, which 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. The limitations of the modified scheme on stretched grids are tested and it is found that the highly stretched grid causes large numerical errors, and needs further assessment and modification.},
  author       = {Mingbo, Sun and Bai, Xue-Song and Liu, Wei Dong and Liang, Jian Han and Wang, Zhen Guo},
  issn         = {0217-9849},
  keyword      = {sub-cell-fix,level-set equation,Re-initialization,distance function,grid stretching,method},
  language     = {eng},
  number       = {15},
  pages        = {1615--1629},
  publisher    = {World Scientific},
  series       = {Modern Physics Letters B},
  title        = {A Modified Sub-Cell-Fix Method for Re-Initialization of Level-Set Distance Function and Its Dependence Tests on Grid Stretching},
  url          = {http://dx.doi.org/10.1142/S0217984910024018},
  volume       = {24},
  year         = {2010},
}