Development of Lattice Boltzmann Flux Solver for Simulation of Incompressible Flows

作     者：C.Shu Y.Wang C.J.Teo J.Wu 

作者机构：Department of Mechanical EngineeringNational University of Singapore10 Kent Ridge CrescentSingapore 119260 Department of AerodynamicsCollege of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2014年第6卷第4期

页      面：436-460页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Chapman-Enskog analysis flux solver incompressible flow Navier-Stokes equation lattice Boltzmann equation 

摘      要：A lattice Boltzmann flux solver(LBFS)is presented in this work for simulation of incompressible viscous and inviscid *** new solver is based on Chapman-Enskog expansion analysis,which is the bridge to link Navier-Stokes(N-S)equations and lattice Boltzmann equation(LBE).The macroscopic differential equations are discretized by the finite volume method,where the flux at the cell interface is evaluated by local reconstruction of lattice Boltzmann solution from macroscopic flow variables at cell *** new solver removes the drawbacks of conventional lattice Boltzmann method such as limitation to uniform mesh,tie-up of mesh spacing and time interval,limitation to viscous *** is validated by its application to simulate the viscous decaying vortex flow,the driven cavity flow,the viscous flow past a circular cylinder,and the inviscid flow past a circular *** obtained numerical results compare very well with available data in the literature,which show that LBFS has the second order of accuracy in space,and can be well applied to viscous and inviscid flow problems with non-uniform mesh and curved boundary.