Boundless Fluids Using the Lattice-Boltzmann Method

We simulate scalar mixing and chemical reactions using the lattice Boltzmann method. Simulations of initially non-premixed binary mixtures yield scalar probability distribution functions that are in good agreement with direct numerical simulation (of NavierStokes equation) data. One-dimensional chemically-reacting ow simulation of a premixed mixture yields a ame speed that is consistent with ex...

A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds number. This method combines the good features of the conventional LBM and the fractional step technique. Through the fractional step, the flow at an extreme case of infinite Reynolds number (inviscid flow) can be effec...

Lattice Boltzmann method is a mesoscopic used for solving hydrodynamics problems of both incompressible and compressible fluids. Although the widely used, reliability results unclear. Therefore, we use to solve fundamental problem with known analytical solution, Couette flow. We estimate accuracy simulation obtained by setting different types spatial grids, boundary conditions, equilibrium dist...