Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 229, Issue 5, Pages 1514-1535Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.10.042
Keywords
Level set method; Reinitialization; Distance function; Eikonal equation
Funding
- German Research Association (Deutsche Forschungsgemeinschaft (DFG)) [SFB 686]
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Based on the constrained reinitialization scheme [D. Hartmann, M. Meinke, W. Schroder, Differential equation based constrained reinitialization for level set methods, J. Comput. Phys. 227 (2008) 6821-6845] a new constrained reinitialization equation incorporating a forcing term is introduced. Two formulations for high-order constrained reinitialization (HCR) are presented combining the simplicity and generality of the original reinitialization equation [M. Sussman, P. Smereka, S. Osher, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys. 114 (1994) 146-159] in terms of high-order standard discretization and the accuracy of the constrained reinitialization scheme in terms of interface displacement. The novel HCR schemes represent simple extensions of standard implementations of the original reinitialization equation. The results evidence the significantly increased accuracy and robustness of the novel schemes. (C) 2009 Elsevier Inc. All rights reserved.
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