On the homoclinic orbit for convection in a fluid layer heated from below

P. Vadasz

doi:10.1016/S0017-9310(99)00042-3

On the homoclinic orbit for convection in a fluid layer heated from below

P. Vadasz

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

Original language	English (US)
Pages (from-to)	3557-3561
Number of pages	5
Journal	International Journal of Heat and Mass Transfer
Volume	42
Issue number	19
DOIs	https://doi.org/10.1016/S0017-9310(99)00042-3
State	Published - Oct 1 1999
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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abstract = "The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.",

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AB - The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

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On the homoclinic orbit for convection in a fluid layer heated from below

Abstract

ASJC Scopus subject areas

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