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We present a review of the evolutionary advancement of the lattice Boltzmann methods
(LBM) and current status of their applications in dealing with diverse flow problems such as …

Accurate solutions to the equations governing the natural convection of air in a cubic cavity,
thermally driven on two vertically opposite faces, are given for Rayleigh number values up to …

A set of complete two-and three-dimensional direct numerical simulations (DNS) in a
differentially heated air-filled cavity of aspect ratio 4 with adiabatic horizontal walls is …

By applying the singularity subtraction technique to the unsteady driven cavity problem, the
stability of the impulsively started flow is investigated, without smoothing the corner …

The principle of lattice-Boltzmann techniques is recalled and some of the difficulties to
simulate convective flows are discussed. It is then proposed to use a hybrid scheme with …

Vertical convection (VC) under the action of vertical vibration in a square cavity has been
investigated using direct numerical simulation. The simulations are conducted with Prandtl …

This paper summarizes the results from a special session dedicated to understanding the
fluid dynamics of the 8: 1 thermally driven cavity which was held at the First MIT Conference …

A set of direct numerical simulations of a differentially heated cavity of aspect ratio 4 with
adiabatic horizontal walls is presented. The five configurations selected here (Rayleigh …

Chaotic natural convection in a differentially heated air-filled cavity of aspect ratio 4 with
adiabatic horizontal walls is investigated by direct numerical integration of the unsteady two …