Stress singularities in confined thermocapillary convection

Kasperski, Guillaume; Che´nier, Eric; Delcarte, Claudine; Labrosse, Ge´rard
January 2000
AIP Conference Proceedings;2000, Vol. 504 Issue 1, p896
Academic Journal
Axisymmetric thermocapillary convection is studied in a laterally heated liquid bridge. In this configuration, as in other wall-confined thermocapillary convection problems, a viscous singularity appears at the junction of the free and solid surfaces which any numerical approach of the problem must filter, either explicitly by smoothing the boundary conditions, or implicitly by using finite-precision discretization methods. Our approach is to filter the singularity explicitly, and to study the convergence properties of the solutions with the filter’s characteristics, which cannot easily be done when using finite-precision methods. Results show both quantitative (on scales) and qualitative (on symmetry properties) effects of the filter. Based on observations of the problems encountered when treating the laterally heated case, we propose to compare the results supplied by different numerical approaches on a simple half-zone model. This is an important step to pass before running oscillatory and/or 3D computations. © 2000 American Institute of Physics.


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