in this study, we proposed a novel scheme for the implementation of the no-slip boundary condition in thelattice boltzmann method (lbm) . in detail , we have substituted the classical bounce-back idea by the direct immersed boundary specification . in this way we construct the equilibrium density functions in such a way that it feels the no-slip boundaries . therefore , in fact a kind of equili...

In this paper we analyze the boundary treatment of the Lattice Boltzmann method for simulating 3D flows with free surfaces. The widely used free surface boundary condition of Körner is shown to be first order accurate. The article presents new free surface boundary schemes that are suitable for the lattice Boltzmann method and that have second order spatial accuracy. The new method takes the fr...

The motivation of this study is twofold. First, a recursive mathematical formulation the discrete-velocity Boltzmann equation (DVBE) under Bhatnagar-Gross-Krook (BGK) approximation introduced. This allows us to formally express solution DVBE as an infinite sum over successive particle derivatives distributions associated with local equilibrium. A Chapman-Enskog multiple-scales expansion shows t...

A modified boundary condition for the distribution function in the Lattice Boltzmann method at the interface between solid and fluid that takes into account a finite mass ratio between two phases and an inelastic reflection is proposed. The new boundary condition is built into the immersed boundary method to compute the interaction between graphene and laminar flow. Numerical simulations are ca...

In this paper, the interpolated bounce-back scheme and the immersed boundary method are compared in order to handle solid boundary conditions in the lattice Boltzmann method. These two approaches are numerically investigated in two test cases: a rigid fixed cylinder invested by an incoming viscous fluid and an oscillating cylinder in a calm viscous fluid. Findings in terms of velocity profiles ...

The Interpolated Bounce-Back (IBB) method and Immersed-Boundary (IB) method are compared for fluid-solid boundary conditions in the Lattice Boltzmann Equation (LBE) in terms of their numerical accuracy and computational efficiency. We carry out simulations for the flow past a circular cylinder asymmetrically placed in the channel in two dimensions with the Reynolds number Re = 20 and 100, corre...