Diffusion generated motion using signed distance functions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Esedoglu, Selim¹  Ruuth, Steven²  Tsai, Richard³ 

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

关键词: Diffusion generated motion;    Grain growth;    Multiphase flow;    Level set;    Mean curvature motion;   

DOI  :  10.1016/j.jcp.2009.10.002

来源: Elsevier

【 摘 要 】

We describe a new class of algorithms for generating a variety of geometric interfacial motions by alternating two steps: Construction of the signed distance function (i.e. redistancing) to the interface, and convolution with a suitable kernel. These algorithms can be seen as variants of Merriman, Bence, and Osher's threshold dynamics [25]. The new algorithms proposed here preserve the computational efficiency of the original threshold dynamics algorithm. However, unlike threshold dynamics, the new algorithms also allow attaining high accuracy on uniform grids, without adaptive refinement. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free