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

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

“…On the other hand, one vortex break down bubble is seen at (1.5, 1290) and two break down bubbles occur in the vicinity of the cylinder axis. These distinct regimes in swirling flows and the complex flow structure for different (R A , Re) cases are strikingly consistent with prior numerical solution (e.g., [56,19,21,57]). Quantitative comparison of the computed structure of the axial velocities along the axis of symmetry obtained using the axisymmetric cascaded LB schemes for the above four sets of the aspect ratios R A and Reynolds number…”

“…For example, Refs. [52,56] show that for cases (R A , Re) equal to (1.5, 990) and (2.5,1010), no vortex breakdown bubbles occur whereas for (1.5, 1290), they do occur.…”

Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh

“…On the other hand, straightforward integration of the LBE on a non-uniform and/or unstructured mesh is not possible. This leads to difficulty in adapting the mesh to complex flow-structures such as separation, vortices, shear/ boundary layers etc., and to satisfy boundary conditions on irregular geometries [6]. Such difficulty may be overcome by decoupling the numerical mesh from the lattice structure, and taking recourse to, one of finite difference (FD) [7][8][9], finite element (FE) [10][11][12][13][14][15], or finite volume (FV) [16][17][18][19] approaches.…”

Kinetic theory based lattice Boltzmann equation with viscous dissipation and pressure work for axisymmetric thermal flows

“…In the last two decades, LBE has been rapidly developed as an effective and promising numerical algorithm for computational fluid dynamics [4][5][6], which has also been applied to axisymmetric flows [7][8][9][10][11][12][13][14][15][16][17][18][19]. The straightforward way for LBE to simulate such flows is using a 3D LBE model with suitable curved boundary treatments [22][23][24]. Nevertheless, such approach implies the expensive computational costs for this 3D simulation which does not consider any symmetrical properties of the axisymmetric flows.…”