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
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Zalesak circle after 1 revolution
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Zalesak circle after 4 revolutions
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2D deformation field on a regular 64 x 64 grid.
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Initial conditions and velocity field
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At maximum deformation
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At final time
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3D Zalesak sphere and 3D deformation field on a regular 50 x 50 x 50 grid.
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Zalesak sphere
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3D deformation field
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initial state
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initial state
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quarter rotation
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quarter time
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half rotation
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half time
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three quarter rotation
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three quarter time
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one full rotation
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final time
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Related Publications
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B. Seibold, R. R. Rosales, J.-C. Nave
Jet schemes for advection
problems, submitted.
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J.-C. Nave, R. R. Rosales, B. Seibold,
A gradient-augmented level set method with
an optimally local, coherent advection scheme,
J. Comput. Phys., Vol. 229, 2010, pp. 3802-3827.
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Research Support
NSF
grant DMS-0813648,
Capturing subgrid structures with level set methods,
with R. R. Rosales and J.-C. Nave.
