Statistics – Applications
Scientific paper
Jan 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aipc..504..896k&link_type=abstract
SPACE TECHNOLOGY AND APPLICATIONS INTERNATIONAL FORUM - 2000. AIP Conference Proceedings, Volume 504, pp. 896-901 (2000).
Statistics
Applications
Forced Convection, Numerical Simulation, Solution Of Equations
Scientific paper
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. .
Chénier Eric
Delcarte Claudine
Kasperski Guillaume
Labrosse Gérard
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