Macroscopic axisymmetric lattice Boltzmann method (MacAxLAB)

The author has recently proposed a macroscopic lattice Boltzmann method (MacLAB) for the Navier–Stokes equations. is formulated first time to retain streaming step by removing collision in two integral steps of standard method. It relies on one fundamental parameter size ?x model. This leads revolutionary and precise minimal “Lattice” method, which directly uses physical variables as boundary conditions with less required storage more accurate efficient simulations. In this paper, MacLAB further developed solving incompressible axisymmetric flow equations (MacAxLAB). model validated through simulations 3D unsteady Womersley steady cylindrical cavity flows. numerical results have compared other ones available analytical solutions; it shows that MacAxLAB applicable modelling flow.