Probing the Numerical Convergence of a Commercial Finite Element Software in Electrochemical Simulations
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- CARNEIRO-NETO Evaldo Batista
- Universidade Estadual do Centro-Oeste. Depto de Química
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- SIKORA Mariana Souza
- Universidade Tecnológica do Paraná. Depto de Química
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- PEREIRA Ernesto Chaves
- Universidade Federal de São Carlos. Laboratório Interdisciplinar de Eletroquímica e Cerâmica
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- LOPES Mauro Chierici
- Universidade Estadual do Centro-Oeste. Depto de Química
説明
We studied the efficiency and accuracy of a general purpose finite element software in the numerical solution of electrochemical models. Typical numerical complications like boundary singularities, stiffness and multiscale problems were addressed. The convergence order was determined for various mesh refinement strategies. As a general rule, the numerical efficiency of the software proved adequate to the problems dealt, but the default generated meshes and the adaptive mesh adjustment do not work properly, if high levels of accuracy are required. Therefore, a manual adjustment of the mesh control parameters is indispensable. A thorough discussion of the problem of adjusting the mesh was presented to serve as a general introduction to the subject for beginners in the field. Additionally, it was suggested a general approach for mesh optimization through which the convergence rate can be considerably increased.
収録刊行物
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- Electrochemistry
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Electrochemistry 82 (11), 966-973, 2014
公益社団法人 電気化学会
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詳細情報 詳細情報について
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- CRID
- 1390282681476333824
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- NII論文ID
- 130004707696
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- ISSN
- 21862451
- 13443542
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可