A Multiple Nested Lattice Boltzmann Method and Its Application

Introduction In recent years,the lattice Boltzmann method(LBM)has developed into an alternative andpromising numerical scheme for simulating hydro-dynamic and aerodynamic flow1].The success ofthe LBM can be partly attributed to the particle-based approach which is directly inherited from itspredecessor,the lattice gas automata(LGA)1,2],unlike LGA,the LBM simulates a flow system bytracking the evolution of particle distributions in-stead of tracking single particles.For this reason,it o…

A Multiple Nested Lattice Boltzmann Method and Its Application

The standard lattice Boltzmann method utilizes uniform grids to maintain a compact computational procedure. However, it is often less efficient to perform hydrodynamic and aerodynamic flow simulations when there is a need for high resolution. To resolve these difficulties, a multiple nested lattice Boltzmann method(MNLBM) was developed, which contains several overlapped layers with different resolutions in the computational domain. The data transference of flow field on two layers is accomplished by a Filippova procedure which is proved to satisfy the continuity of mass, momentum, and stresses across the interface. The proposed method is based on the standard lattice Boltzmann method, so it is easily performed.By numerical investigation, the result of present method has been agreed with that of literature, but the computation efficiency is higher than the standard lattice Boltzmann method.