Adaptive Level Set Method for Solidification Problems
Date Issued
2006
Date
2006
Author(s)
Chuang, Ming-Hsuan
DOI
zh-TW
Abstract
The level set method has been widely used in numerics of propagating interfaces. Level set function is close to a signed distance function, and it can be used to exactly locate the interface in order to apply discretizations. Topological changes in the evolving front are handled naturally. The position of the front at time t is given by the zero-level set of a smooth, continuous function. This set needs not be connected and can break and merge as t advances. Furthermore, it can be easily extended to higher dimensions.
Over the last five years, the adaptive phase field model was widely adopted to study solidification problems in our group, while many fruitful results have been reported. However, because the concept of diffusive interface is adopted, the drawback for performing phase field modeling lies on its very awful computational load. Recently, the development of level set method has become mature and was used to simulate cases with complex distortion of interface, such as dendritic growth of an alloy [1]. Since the formulation of sharp-interface model is embedded locally, in principle, the level set method can simulate these problems accurately by using relatively thicker mesh structure. In this report, we have developed an adaptive level set method based on the finite volume method (FVM) to simulate solidification problems. To check its feasibility, we have derived numerical and physical algorithms carefully and discussed the convergence of our present model. Moreover, comparisons with analytical solutions were given by testing several Stefan problems. Finally, we tried to challenge the case dendritic growth under high supercooling.
Subjects
適應性等位函數法
固化問題
adaptive Level set method
solidification problems
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-95-R93524046-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):37b3a278949801b36f369797339cd472