Time-Dependent Vortex Breakdown in a Cylinder With a Rotating Lid

Cascaded lattice Boltzmann method based on central moments for axisymmetric thermal flows including swirling effects

“…Here, ω 3 , ω 4 . · · · ω 8 are relaxation parameters, where ω 3 , ω 4 and ω 5 are related to the bulk and shear viscosities and the other ω i influence the numerical stability of the method. In particular, the bulk viscosity is given by ξ = c 2 s ( 1 ω3 − 1 2 )∆t and the shear viscosity by ν = c 2 s ( 1 ωj − 1 2 )/∆t, where j = 4, 5, and c 2 s = c 2 /3, where c = ∆x/∆t.…”

“…Fluid motion in cylindrical coordinates with axial symmetry that is driven by rotational effects and/or thermal buoyancy effects arise widely in a number of engineering applications and geophysical contexts (e.g., [1,2,3,4,5]). Some examples of technological applications encountering heat and mass transfer effects in axisymmetric flows include pipeline systems, heat exchangers, solar energy conversion devices, crystal growth and material processing systems, electronic cooling equipment and turbomachinery.…”

Lattice Boltzmann simulation of lid-driven swirling flow in confined cylindrical cavity

“…Hourigan et al [10] argued that the asymmetry seen in the experimental results is just an artefact of errors in the observation techniques. However, more recent and accurate visualization photographs [11][12][13] too have revealed such asymmetric folds. Hence, it has been claimed that the breakdown could be physically an asymmetric phenomenon and argued that previous 2D, axisymmetric simulations are unable to capture the 3D, asymmetric flow features.…”

“…This is an important generic problem investigated both experimentally [6][7][8][9][10][11][12][13][14] and computationally [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] by a number of researchers. Significance of this problem arises owing to the interesting flow-phenomena associated with the formation and subsequent breakdown of one or more recirculation bubbles centered on the cylindrical axis.…”

Improved axisymmetric lattice Boltzmann scheme

“…In the Wheeler problem, if we set c c Re 0 = Ω = and c x R R = , the flow will become the lid-driven rotational flow in cylindrical cavities, which is an important generic problem investigated both experimentally [52][53][54] and numerically [55][56][57][58]. The cylindrical cavity rotational flow is known to depend on two parameters, the aspect ratio A H R = and the Reynolds number 2 Re R ν = Ω .…”