|
JAIST Repository >
b. 情報科学研究科・情報科学系 >
b10. 学術雑誌論文等 >
b10-1. 雑誌掲載論文 >
このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/14219
|
| タイトル: | Generalized Finite Difference Time Domain Method and Its Application to Acoustics |
| 著者: | Wei, Jianguo
Wang, Song
Hou, Qingzhi
Dang, Jianwu |
| キーワード: | GFDTD method
Modeling
Acoustics |
| 発行日: | 2015 |
| 出版者: | Hindawi Publishing Corporation |
| 誌名: | Mathematical Problems in Engineering |
| 巻: | 2015 |
| 開始ページ: | Article ID 640305 |
| DOI: | 10.1155/2015/640305 |
| 抄録: | A meshless generalized finite difference time domain (GFDTD) method is proposed and applied to transient acoustics to overcome difficulties due to use of grids or mesh. Inspired by the derivation of meshless particle methods, the generalized finite difference method (GFDM) is reformulated utilizing Taylor series expansion. It is in a way different from the conventional derivation of GFDM in which a weighted energy norm was minimized. The similarity and difference between GFDM and particle methods are hence conveniently examined. It is shown that GFDM has better performance than the modified smoothed particle method in approximating the first- and second-order derivatives of 1D and 2D functions. To solve acoustic wave propagation problems, GFDM is used to approximate the spatial derivatives and the leap-frog scheme is used for time integration. By analog with FDTD, the whole algorithm is referred to as GFDTD. Examples in one- and two-dimensional domain with reflection and absorbing boundary conditions are solved and good agreements with the FDTD reference solutions are observed, even with irregular point distribution. The developed GFDTD method has advantages in solving wave propagation in domain with irregular and moving boundaries. |
| Rights: | Jianguo Wei, Song Wang, Qingzhi Hou, and Jianwu Dang, Mathematical Problems in Engineering, Volume 2015, Article ID 640305. Copyright © 2015 JianguoWei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| URI: | http://hdl.handle.net/10119/14219 |
| 資料タイプ: | publisher |
| 出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
|
このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
|---|
| 21960.pdf | | 4762Kb | Adobe PDF | 見る/開く |
|
当システムに保管されているアイテムはすべて著作権により保護されています。
|
