A new artificial boundary condition for 2D subsonic flows governed by the compressible Navier–Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various ...

A lattice Boltzmann method for a three dimensional lid driven cavity of cubic and parallelipedic geometries is developed on a desktop computer; No-slip boundary conditions are implemented by the so called Bounce back boundry conditions and the Dirichlet boundary condition for the upper moving wall is treated by the Zou/He boundary condition. The lattice Boltzmann simulation is carried out using...