A review of level-set methods and some recent applications

We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to impose boundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures. Illustrative...

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Veröffentlicht in:Journal of computational physics 2018-01, Vol.353 (C), p.82-109
Hauptverfasser: Gibou, Frederic, Fedkiw, Ronald, Osher, Stanley
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container_title Journal of computational physics
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creator Gibou, Frederic
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description We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to impose boundary 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.
doi_str_mv 10.1016/j.jcp.2017.10.006
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source Elsevier ScienceDirect Journals Complete
subjects Adaptive mesh refinement
Boundary conditions
Computational physics
Computer simulation
Dirichlet boundary condition
Dirichlet problem
Free boundaries
Ghost-fluid method
Jump condition
Level-set method
Octrees
Parallel computing
Robin boundary condition
Voronoi interface method
title A review of level-set methods and some recent applications
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