標題: | Development of a parallel Poisson's equation solver with adaptive mesh refinement and its application in field emission prediction |
作者: | Hsu, KH Chen, PY Hung, CT Chen, LH Wu, JS 機械工程學系 Department of Mechanical Engineering |
關鍵字: | parallel Poisson's equation;Galerkin finite element method;parallel adaptive mesh refinement;field emission |
公開日期: | 15-Jun-2006 |
摘要: | A parallel electrostatic Poisson's equation solver coupled with parallel adaptive mesh refinement (PAMR) is developed in this paper. The three-dimensional Poisson's equation is discretized using the Galerkin finite element method using a tetrahedral mesh. The resulting matrix equation is then solved through the parallel conjugate gradient method using the non-overlapping subdomain-by-subdomain scheme. A PAMR module is coupled with this parallel Poisson's equation solver to adaptively refine the mesh where the variation of potentials is large. The parallel performance of the parallel Poisson's equation is studied by simulating the potential distribution of a CNT-based triode-type field emitter. Results with similar to 100 000 nodes show that a parallel efficiency of 84.2% is achieved in 32 processors of a PC-cluster system. The field emission properties of a single CNT triode- and tetrode-type field emitter in a periodic cell are computed to demonstrate their potential application in field emission prediction. (c) 2006 Elsevier B.V. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.cpc.2006.01.006 http://hdl.handle.net/11536/12150 |
ISSN: | 0010-4655 |
DOI: | 10.1016/j.cpc.2006.01.006 |
期刊: | COMPUTER PHYSICS COMMUNICATIONS |
Volume: | 174 |
Issue: | 12 |
起始頁: | 948 |
結束頁: | 960 |
Appears in Collections: | Articles |
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