An improved geometry-aware curvature discretization for level set methods: Application to tumor growth

@article{Macklin2006AnIG,
  title={An improved geometry-aware curvature discretization for level set methods: Application to tumor growth},
  author={Paul Macklin and John S. Lowengrub},
  journal={J. Comput. Physics},
  year={2006},
  volume={215},
  pages={392-401}
}
An advantage of using level set methods for moving boundary problems is that geometric quantities such as curvature can be readily calculated from the level set function. However, in topologically challenging cases (e.g., when two interfaces are in close contact), level set functions develop singularities that yield inaccurate curvatures when using traditional discretizations. In this note, we give an improved discretization of curvature for use near level set singularities. Where level set… CONTINUE READING