A multi-mesh adaptive finite element approximation to phase field models
- Creators
- Hu, Xianliang
- Li, Ruo
- Tang, Tao
Abstract
In this work, we propose an efficient multi-mesh adaptive finite element method for simulating the dendritic growth in two- and three-dimensions. The governing equations used are the phase field model, where the regularity behaviors of the relevant dependent variables, namely the thermal field function and the phase field function, can be very different. To enhance the computational efficiency, we approximate these variables on different h-adaptive meshes. The coupled terms in the system are calculated based on the implementation of the multi-mesh h-adaptive algorithm proposed by Li (J. Sci. Comput., pp. 321-341, 24 (2005)). It is illustrated numerically that the multi-mesh technique is useful in solving phase field models and can save storage and the CPU time significantly.
Additional Information
© 2009 Global-Science Press. Received 2 April 2008; Accepted (in revised version) 3 August 2008. Communicated by Jie Shen. Available online 20 October 2008. Part of Hu's research was carried out while visiting Hong Kong Baptist University. His research was also supported by an National Basic Research Program of China under the grant 2005CB32170. Li's research was partially supported by the National Basic Research Program of China under the grant 2005CB321701, Foundation for National Excellent Doctoral Dissertation Award of China and the Joint Applied Mathematics Research Institute between Peking University and Hong Kong Baptist University. Tang's research was supported by CERG Grants of Hong Kong Research Grant Council and FRG grants of Hong Kong Baptist University.Attached Files
Published - Hu2009p2236Commun_Comput_Phys.pdf
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Additional details
- Eprint ID
- 14383
- Resolver ID
- CaltechAUTHORS:20090610-075549673
- 2005CB32170
- National Basic Research Program of China
- 2005CB321701
- National Basic Research Program of China
- Foundation for National Excellent Doctoral Dissertation Award of China
- Joint Applied Mathematics Research Institute
- Research Grants Council of Hong Kong
- Hong Kong Baptist University
- Created
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2009-08-17Created from EPrint's datestamp field
- Updated
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2019-10-07Created from EPrint's last_modified field