Abstract
A narrow-band-based adaptive level set method is proposed for mesh evolution in this paper. In the preprocessing step, the portions of the mesh with high curvature are detected and clustered as fine geometric details. Then the fine grids with optimal orientations are defined for each detected portions, while the coarse grid is chosen for global evolution. The solutions on different scale grids are synthesized as the final results. Compared with the level set solution on the uniform grid, our approach can achieve a good compromise between computational costs and mesh evolution quality. The implementation results also show that it is an efficient and robust method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adalsteinsson, D., Sethian, J.A.: A fast level set method for propagating interfaces. J. Comp. Phys. 118(2), 269–277 (1995)
Berger, M.J.: Adaptive mesh refinement for hyperbolic partial differential equations. J. Comp. Phys. 53, 484–512 (1984)
Berger, M.J., Colella, P.: Local adaptive mesh refinement for shock hydrodynamics. J. Comp. Phys. 82(1), 64–84 (1989)
Ham, F., Young, Y.N.: A Cartesian adaptive level set method for two-phase flows (2003), http://ctr.stanford.edu/ResBriefs03/ham1.pdf
Level Set and PDE Methods for Computer Graphics. Siggraph course notes 27 (2004)
Milne, B.: Adaptive level set methods interface, PHD. Thesis, Dept of mathematic, university of California, Berkeley, CA (1995)
Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comp. Phys. 79, 12–49 (1988)
Sethian, J.A.: A fast marching level set method for monotonically advancing fronts. Proc. Nat. Acad. Sci. 93(4), 1591–1595 (1996)
Sethian, J.A.: Level set methods: evolving interfaces in geometry, fluid mechanics. computer vision, and materials science. Cambridge Univ. Press, Cambridge (1996)
Sussman, M., Almgren, A.S., Bell, J.B., Colella, P., Howell, L., Welcome, M.: An adaptive level set approach to incompressible two-phase flow. J. Comp. Phys. 148, 81–124 (1999)
Wang, Z., Wang, Z.J.: The level set method on adaptive cartesian grid for interface capturing. AIAA Paper No. 2004-0082
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zheng, G., Feng, J., Jin, X., Peng, Q. (2006). Adaptive Level Set Method for Mesh Evolution. In: Pan, Z., Aylett, R., Diener, H., Jin, X., Göbel, S., Li, L. (eds) Technologies for E-Learning and Digital Entertainment. Edutainment 2006. Lecture Notes in Computer Science, vol 3942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11736639_137
Download citation
DOI: https://doi.org/10.1007/11736639_137
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33423-1
Online ISBN: 978-3-540-33424-8
eBook Packages: Computer ScienceComputer Science (R0)