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  1. B200 工学部/工学研究科
  2. B200b 紀要
  3. Memoirs of the Faculty of Engineering, Nagoya University
  4. 40(1)

Numerical method for distribution of eigenvalues in laminar pipe flows

https://doi.org/10.18999/memfenu.40.1.121
https://doi.org/10.18999/memfenu.40.1.121
778f28ce-b9fa-4a6f-be1d-c3cab53a1ff5
名前 / ファイル ライセンス アクション
40-1-03.pdf 40-1-03.pdf (863.3 kB)
Item type 紀要論文 / Departmental Bulletin Paper(1)
公開日 2020-10-29
タイトル
タイトル Numerical method for distribution of eigenvalues in laminar pipe flows
言語 en
著者 Ito, Tadaya

× Ito, Tadaya

WEKO 101986

en Ito, Tadaya

Search repository
Hase, Kenji

× Hase, Kenji

WEKO 101987

en Hase, Kenji

Search repository
Suematsu, Yoshikazu

× Suematsu, Yoshikazu

WEKO 101988

en Suematsu, Yoshikazu

Search repository
Hayase, Toshiyuki

× Hayase, Toshiyuki

WEKO 101989

en Hayase, Toshiyuki

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
抄録
内容記述 In order to understand in more detail the dynamic structure of the linearized Navier-Stokes equation, a distribution of eigenvalues and classification of modes have been investigated especially for Poiseuille pipe flow. Generally, in numerical analysis of the eigenvalue problem, the accuracy of the eigenvalue gradually diminishes as its order increases. It is therefore difficult to obtain a correct eigenvalue distribution including higher order ones. This report aims to develop an improved numerical method for determining a distribution of eigenvalues with sufficient accuracy in general pipe flows. The method of expansion in orthogonal functions due to Salwen is reformulated in a Hilbert space. Then a finite dimensional approximate system is derived by the Galerkin method. In the Galerkin approximation, it is difficult do determine the dimension of approximate subspace a priori. A criterion for this truncation problem is presented based on a property of operator invariance of the subspace. The present numerical method is applied to Poiseuille pipe flow, and the result is compared with asymptotic method and other numerical methods.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Faculty of Engineering, Nagoya University
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ departmental bulletin paper
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
ID登録
ID登録 10.18999/memfenu.40.1.121
ID登録タイプ JaLC
ISSN(print)
収録物識別子タイプ PISSN
収録物識別子 0027-7657
書誌情報 en : Memoirs of the Faculty of Engineering, Nagoya University

巻 40, 号 1, p. 121-134, 発行日 1988-10-31
著者版フラグ
値 publisher
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