Simulation of flows around an impulsively started circular cylinder by Taylor series expansion- and least squares-based lattice Boltzmann method

The two-dimensional incompressible viscous flow past an impulsively started circular cylinder for a wide range of Reynolds numbers (Re=20–9500) is studied computationally by using an explicit Taylor series expansion- and least squares-based lattice Boltzmann method. The final equation for distribution function in our method is in an explicit form and essentially has no limitation on choice of mesh structure and lattice model. It can be easily applied to simulation of flows with curved boundaries such as the problem considered in this work. For the flow past an impulsively started circular cylinder, numerical results obtained by present method agree very well with experimental data and computational results of Navier–Stokes equations available in the literature.