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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

MING BO SUN

College of Aerospace and Materials Engineering, National University of Defense Technology, 410073, Changsha, China

Division of Fluid Mechanics, Lund University, P.O. Box 118, S-221 00 Lund, Sweden

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XUE SONG BAI

Division of Fluid Mechanics, Lund University, P.O. Box 118, S-221 00 Lund, Sweden

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WEI DONG LIU

College of Aerospace and Materials Engineering, National University of Defense Technology, 410073, Changsha, China

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JIAN HAN LIANG

College of Aerospace and Materials Engineering, National University of Defense Technology, 410073, Changsha, China

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, and

ZHEN GUO WANG

College of Aerospace and Materials Engineering, National University of Defense Technology, 410073, Changsha, China

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https://doi.org/10.1142/S0217984910024018Cited by:1 (Source: Crossref)

Abstract

The sub-cell-fix (SCF) method proposed by Russo and Smereka³ 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.

Keywords:

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