このアイテムのアクセス数: 58

このアイテムのファイル:
ファイル 記述 サイズフォーマット 
rspa.2012.0558.pdf393.14 kBAdobe PDF見る/開く
タイトル: Word representation of streamline topologies for structurally stable vortex flows in multiply connected domains
著者: Yokoyama, Tomoo
Sakajo, Takashi
著者名の別形: 坂上, 貴之
キーワード: streamline topology
vortex flows
multiply connected domains
Hamiltonian vector field
発行日: 21-Nov-2012
出版者: The Royal Society
誌名: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
巻: 469
号: 2150
論文番号: 20120558
抄録: Let us consider incompressible and inviscid flows in two-dimensional domains with multiple obstacles. The instantaneous velocity field becomes a Hamiltonian vector field defined from the stream function, and it is topologically characterized by the streamline pattern that corresponds to the contour plot of the stream function. The present paper provides us with a procedure to construct structurally stable streamline patterns generated by finitely many point vortices in the presence of the uniform flow. Starting from some basic structurally stable streamline patterns in a disc of low genus, i.e. a disc with a small number of holes, we repeat some fundamental operations that append a streamline pattern by increasing one genus to them. Owing to the inductive procedure, one can assign a sequence of operations as a representing word to each structurally stable streamline pattern. We also give the canonical expression for the word representation, which allows us to make a catalogue of all possible structurally stable streamline patterns in a combinatorial manner. As an example, we show all streamline patterns in the discs of genus 1 and 2.
記述: 「ながれ」を言葉に -流体画像情報を数学的処理で文字列化する手法の開発-. 京都大学プレスリリース. 2016-01-08.
著作権等: This is the accepted manuscrip of the article is available at http://dx.doi.org/10.1098/rspa.2012.0558.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/203013
DOI(出版社版): 10.1098/rspa.2012.0558
関連リンク: http://www.kyoto-u.ac.jp/ja/research/research_results/2015/151224_2.html / http://dx.doi.org/10.1016/j.physd.2015.05.013
出現コレクション:学術雑誌掲載論文等

アイテムの詳細レコードを表示する

Export to RefWorks


出力フォーマット 


このリポジトリ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。