Level Set Methods
We present a gradient-augmented level set method that is based on a semi-Lagrangian approach, combined with Hermite p-cubic interpolation.
Images and Videos
2D Zalesak circle on a regular 64 x 64 grid.
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| Inital conditions and velocity field | Zalesak circle after 1 revolution | Zalesak circle after 4 revolutions |
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| Zalesak circle video (19 MB) |
2D deformation field on a regular 64 x 64 grid.
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| Initial conditions and velocity field | At maximum deformation | At final time |
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| 2D deformation field video (17MB) |
3D Zalesak sphere and 3D deformation field on a regular 50 x 50 x 50 grid.
| Zalesak sphere | 3D deformation field |
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| initial state | initial state |
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| quarter rotation | quarter time |
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| half rotation | half time |
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| three quarter rotation | three quarter time |
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| one full rotation | final time |
Related Publications
| J. Nave, R. R. Rosales, B. Seibold, A gradient-augmented level set method with an optimally local, coherent advection scheme, submitted to J. Comput. Phys., 2009. |