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j.physd.2015.05.013.pdf1.43 MBAdobe PDF見る/開く
タイトル: Transitions between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains
著者: Sakajo, Takashi  kyouindb  KAKEN_id
Yokoyama, Tomoo
著者名の別形: 坂上, 貴之
キーワード: Hamiltonian flows
Streamline topology
Transition
Structural stability
Vortex dynamics
発行日: 1-Jul-2015
出版者: Elsevier B.V.
誌名: Physica D: Nonlinear Phenomena
巻: 307
開始ページ: 22
終了ページ: 41
抄録: We consider Hamiltonian vector fields with a dipole singularity satisfying the slip boundary condition in two-dimensional multiply connected domains. One example of such Hamiltonian vector fields is an incompressible and inviscid flow in exterior multiply connected domains with a uniform flow, whose Hamiltonian is called the stream function. Here, we are concerned with topological structures of the level sets of the Hamiltonian, which we call streamlines by analogy from incompressible fluid flows. Classification of structurally stable streamline patterns has been considered in Yokoyama and Sakajo (2013), where a procedure to assign a unique sequence of words, called the maximal word, to these patterns is proposed. Thanks to this procedure, we can identify every streamline pattern with its representing sequence of words up to topological equivalence. In the present paper, based on the theory of word representations, we propose a combinatorial method to provide a list of possible transient structurally unstable streamline patterns between two different structurally stable patterns by simply comparing their maximal word representations without specifying any Hamiltonian. Although this method cannot deal with topological streamline changes induced by bifurcations, it reveals the existence of many non-trivial global transitions in a generic sense. We also demonstrate how the present theory is applied to fluid flow problems with vortex structures.
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: © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
The full-text file will be made open to the public on 1 July 2017 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
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/2433/201596
DOI(出版社版): 10.1016/j.physd.2015.05.013
関連リンク: http://www.kyoto-u.ac.jp/ja/research/research_results/2015/151224_2.html / http://dx.doi.org/10.1098/rspa.2012.0558
出現コレクション:学術雑誌掲載論文等

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