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 | |
| State | Published - Oct 1999 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Energy(all)
- Mechanical Engineering
Cite this
On the homoclinic orbit for convection in a fluid layer heated from below. / Vadasz, Peter.
In: International Journal of Heat and Mass Transfer, Vol. 42, No. 19, 10.1999, p. 3557-3561.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the homoclinic orbit for convection in a fluid layer heated from below
AU - Vadasz, Peter
PY - 1999/10
Y1 - 1999/10
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0345466312&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0345466312&partnerID=8YFLogxK
U2 - 10.1016/S0017-9310(99)00042-3
DO - 10.1016/S0017-9310(99)00042-3
M3 - Article
VL - 42
SP - 3557
EP - 3561
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
SN - 0017-9310
IS - 19
ER -