標題: | An integral equation method for epitaxial step-flow growth simulations |
作者: | Huang, JF Lai, MC Xiang, Y 應用數學系 Department of Applied Mathematics |
關鍵字: | integral equation;potential theory;diffusion equation;jump conditions;epitaxial step-flow;spectral deferred correction;fast algorithms |
公開日期: | 10-八月-2006 |
摘要: | In this paper, we describe an integral equation approach for simulating diffusion problems with moving interfaces. The solutions are represented as moving layer potentials where the unknowns are only defined on the interfaces. The resulting integro-differential equation (IDE) system is solved using spectral deferred correction (SDC) techniques developed for general differential algebraic equations (DAEs), and the time dependent potentials are evaluated efficiently using fast convolution algorithms. The numerical solver is applied to the BCF model for the epitaxial step-flow growth of crystals, for which the solutions are calculated accurately instead of using quasi-static approximations. Numerical results in 1 + 1 dimensions are compared with available results in the literature. (c) 2006 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.jcp.2006.01.006 http://hdl.handle.net/11536/11924 |
ISSN: | 0021-9991 |
DOI: | 10.1016/j.jcp.2006.01.006 |
期刊: | JOURNAL OF COMPUTATIONAL PHYSICS |
Volume: | 216 |
Issue: | 2 |
起始頁: | 724 |
結束頁: | 743 |
顯示於類別: | 期刊論文 |