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

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Author

  • Sun Mingbo
  • Xue-Song Bai
  • Wei Dong Liu
  • Jian Han Liang
  • Zhen Guo Wang

Summary, in English

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.

Publishing year

2010

Language

English

Pages

1615-1629

Publication/Series

Modern Physics Letters B

Volume

24

Issue

15

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Fluid Mechanics and Acoustics

Keywords

  • sub-cell-fix
  • level-set equation
  • Re-initialization
  • distance function
  • grid stretching
  • method

Status

Published

ISBN/ISSN/Other

  • ISSN: 0217-9849