On the use of Galerkin-Eckhaus method to study the nonlinear regime of Marangoni-Bénard instabilities in an evaporating liquid layer

被引：0
作者：
J. Margerit
M. Dondlinger
P. C. Dauby
机构：
[1] Université de Liège,
[2] Institut de Physique B5a,undefined
来源：
The European Physical Journal B - Condensed Matter and Complex Systems | 2006年 / 54卷
关键词：
47.20.Ky Nonlinearity, bifurcation, and symmetry breaking; 47.20.Hw Morphological instability; phase changes; 47.20.Dr Surface-tension-driven instability; 47.55.pf Marangoni convection;
D O I：
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学科分类号：
摘要：
We investigate theoretically Marangoni-Bénard instability in an evaporating liquid layer surmounted by its vapor and an inert gas. A Galerkin-Eckhaus method, based on a slaving principle and an iterative algorithm, and a direct finite element method are used to determine the evaporation rate above the convective threshold. Both methods provide precise quantitative results, even far from the linear stability threshold.
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页码：485 / 492
页数：7
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