Year: 2007
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 291–305
Abstract
We apply the Piecewise Constant Level Set Method (PCLSM) to a multiphase motion problem, especially the pure mean curvature motion. We use one level set function to represent multiple regions, and by associating an energy functional which consists of surface tension (proportional to length), we formulate a variational approach for the mean curvature motion problem. Some operator-splitting schemes are used to solve the problem efficiently. Numerical experiments are supplied to show the efficiency for motion by mean curvature for multiphase problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-IJNAM-863
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 291–305
Published online: 2007-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: multiphase motion level set method piecewise constant operator splitting.