title: Involving the Navier-Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method.
abstract: By means of the continuity equation of the incompressible Navier-Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.
authors.affiliation: Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway. joris.verschaeve@ntnu.no
authors.forename: Joris C G
authors.initials: JC
authors.lastname: Verschaeve