Computer simulation of Rayleigh-Bénard instability in a square box

The process is considered in 2D and 3D approaches. The main goal of the work is to analyse the stability of two dimensional rolls with respect to 3D disturbances and the flow pattern evolution for different Rayleigh number Ra and wave number k0. Skewed varicose, oscillatory and spiral chaos defect instabilities have been observed. Results are in good agreement with Busse theoretical data on the satbility of horizontal layer of fluid and experimental data

Computer simulation for subcritical convection in multi‐component alloys

Subcritical convection with hexagonal flow pattern is registered in 3D computer simulation of convective mass transfer in ternary solution under phase transition conditions. The calculations are evaluated by the classical theory of hydrodynamic stability and display a good agreement with linear and finite amplitude stability analysis. Key words: convective instability, subcritical convection, computer simulation. First Published Online: 14 Oct 201

Computer simulation for subcritical convection in multi‐component alloys

Subcritical convection with hexagonal flow pattern is registered in 3D computer simulation of convective mass transfer in ternary solution under phase transition conditions. The calculations are evaluated by the classical theory of hydrodynamic stability and display a good agreement with linear and finite amplitude stability analysis. Key words: convective instability, subcritical convection, computer simulation. First Published Online: 14 Oct 201

Investigation of convective structures near the stability threshold in non-Boussinesq fluid. Part one – analysis of simple models

Abstract: The paper investigates stable convective structures in vertically asymmetric horizontal fluid layer. The asymmetry is caused by internal heat generation, variable thermal diffusion and variable kinematic viscosity (temperature and vertical coordinate dependence is considered). The first part of the paper provides analysis of Prandtl number effect on the planform selection in scope of amplitude equations and perturbation method. The second part of the paper deals with a comparison of theoretical data to results of 3D numerical simulation of convective instability in finite layer of non-Boussinesq fluid.Note: Research direction:Mathematical modelling in actual problems of science and technic