Comparison Analysis of Lorenz Model and Five Components Model

Takashi Aoyagi, Masatoshi Yagi, Sanae Itoh

研究成果: ジャーナルへの寄稿評論記事

3 引用 (Scopus)

抄録

The Lorenz model for Rayleigh-Bénard convection is extended to the five components model taking an autonomous shear flow effect into account. The five components model is numerically solved and analyzed in detail. Based on the Lyapunov exponent analysis , how the introduction of the new degrees of the freedom (the shear flow) changes the chaotic behavior of the solution is examined. The attractors, the time evolutions, the power spectra, the Nusselt number of the five components model are compared with those of the Lorenz model. It is found that the solutions of both models converge to the same one when the Rayleigh number is small. When the Rayleigh number exceeds a critical value, the difference between the Lorenz model and the five components model is observed, i.e., the former has only the periodic solutions, while the latter contains the chaotic solutions. Some examples are shown. The limitation to a model with a few degrees of freedom is also discussed.

元の言語英語
ページ(範囲)2689-2701
ページ数13
ジャーナルJournal of the Physical Society of Japan
66
発行部数9
DOI
出版物ステータス出版済み - 1 1 1997

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Rayleigh number
shear flow
Nusselt number
power spectra
convection
degrees of freedom
exponents

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

これを引用

Comparison Analysis of Lorenz Model and Five Components Model. / Aoyagi, Takashi; Yagi, Masatoshi; Itoh, Sanae.

:: Journal of the Physical Society of Japan, 巻 66, 番号 9, 01.01.1997, p. 2689-2701.

研究成果: ジャーナルへの寄稿評論記事

Aoyagi, Takashi ; Yagi, Masatoshi ; Itoh, Sanae. / Comparison Analysis of Lorenz Model and Five Components Model. :: Journal of the Physical Society of Japan. 1997 ; 巻 66, 番号 9. pp. 2689-2701.
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