Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 353, Issue -, Pages 82-109Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.10.006
Keywords
Level-set method; Ghost-fluid method; Voronoi interface method; Jump condition; Robin boundary condition; Dirichlet boundary condition; Octrees; Adaptive mesh refinement; Parallel computing
Funding
- ONR MURI [N00014-17-1-2676 A006141804]
- ARO [W911NF-16-1-0136]
- NSF [DMS-1620471, DMS-1412695, CNS1409847]
- DMREF [DMR 1534264]
- ONR [N00014-13-1-0346, N00014-17-1-2174, N000141410683, N000141210838, N000141712162]
- ARL AHPCRC [W911NF-07-0027]
- DOE [DE-SC00183838]
- Direct For Mathematical & Physical Scien [1440415] Funding Source: National Science Foundation
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We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to imposeboundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures. Illustrative applications are taken from the physical and life sciences. Fast sweeping methods are briefly discussed. (C) 2017 Elsevier Inc. All rights reserved.
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