Amplitude equations for Rayleigh-Benard convective rolls far from threshold

[en] An extension of the amplitude method is proposed. An iterative algorithm is developed to build an amplitude equation model that is shown to provide precise quantitative results even far from the linear instability threshold. The method is applied to the study of stationary Rayleigh-Benard thermoconvective rolls in the nonlinear regime. In particular, the generation of second and third spatial harmonics is analyzed. Comparison with experimental results and direct numerical calculations is also made and a very good agreement is found.

Disciplines :

Physics

Author, co-author :

Dauby, Pierre ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles

Desaive, Thomas ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles

Bragard, J.

Cerisier, P.

Language :

English

Title :

Amplitude equations for Rayleigh-Benard convective rolls far from threshold

Publication date :

December 2001

Journal title :

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

ISSN :

1539-3755

eISSN :

1550-2376

Publisher :

American Physical Soc, College Pk, United States - Maryland

Volume :

Issue :

Pages :

66301

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://link.aps.org/doi/10.1103/PhysRevE.64.066301

Available on ORBi :

since 11 March 2009

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Bibliography

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