Boundary flow condition analysis for the three-dimensional lattice Boltzmann model

摘要: In the continuum limit, velocity of a Newtonian fluid should vanish at solid wall. This condition is studied for FCHC lattice Boltzmann model with rest particles. goal achieved by expanding mean populations up to second order in terms ratio e between unit and characteristic overall size medium. expansion applied two extreme flow situations. Poiseuille flow, eigenvalue collision matrix can be chosen so that vanishes walls errors smaller than e2 ; however choice depends on angle channel axes lattice. plane stagnation tangential normal velocities do not same point, except particular choices parameters this point does coincide It concluded boundary conditions are as matter fact imposed order.