Lattice Boltzmann model for the volume-averaged Navier-Stokes equations

被引：15
作者：
Zhang, Jinfeng [1 ,2 ]
Wang, Limin [1 ]
Ouyang, Jie [2 ]
机构：
[1] Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, EMMS Grp, Beijing 100190, Peoples R China
[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China
来源：
EPL | 2014年 / 107卷 / 02期
基金：
中国国家自然科学基金;
关键词：
BGK MODELS; BOUNDARY-CONDITIONS; CONVECTIVE FLOW; FLUID-FLOW; SIMULATION; SCHEME;
D O I：
10.1209/0295-5075/107/20001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A numerical method, based on the discrete lattice Boltzmann equation, is presented for solving the volume-averaged Navier-Stokes equations. With a modified equilibrium distribution and an additional forcing term, the volume-averaged Navier-Stokes equations can be recovered from the lattice Boltzmann equation in the limit of small Mach number by the Chapman-Enskog analysis and Taylor expansion. Due to its advantages such as explicit solver and inherent parallelism, the method appears to be more competitive with traditional numerical techniques. Numerical simulations show that the proposed model can accurately reproduce both the linear and nonlinear drag effects of porosity in the fluid flow through porous media. Copyright (C) EPLA, 2014
引用
收藏
页数：5
相关论文
共 33 条
  • [1] Lattice-Boltzmann Method for Complex Flows[J]. Aidun, Cyrus K.;Clausen, Jonathan R. ANNUAL REVIEW OF FLUID MECHANICS, 2010
  • [2] Lattice Boltzmann method for fluid flows[J]. Chen, S;Doolen, GD. ANNUAL REVIEW OF FLUID MECHANICS, 1998
  • [3] DHUMIERES D, 1986, EUROPHYS LETT, V2, P291, DOI 10.1209/0295-5075/2/4/006
  • [4] NUMERICAL-SIMULATION OF FREE CONVECTIVE FLOW USING THE LATTICE-BOLTZMANN SCHEME[J]. EGGELS, JGM;SOMERS, JA. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 1995(05)
  • [5] ERGUN S, 1952, CHEM ENG PROG, V48, P89
  • [6] LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION[J]. FRISCH, U;HASSLACHER, B;POMEAU, Y. PHYSICAL REVIEW LETTERS, 1986(14)
  • [7] Gidaspow D., 1994, Multiphase Flow and Fluidization, P1
  • [8] Lattice Boltzmann model for incompressible flows through porous media[J]. Guo, ZL;Zhao, TS. PHYSICAL REVIEW E, 2002(03)
  • [9] Discrete lattice effects on the forcing term in the lattice Boltzmann method[J]. Guo, Zhaoli;Zheng, Chuguang;Shi, Baochang. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002(04)
  • [10] An extrapolation method for boundary conditions in lattice Boltzmann method[J]. Guo, ZL;Zheng, CG;Shi, BC. PHYSICS OF FLUIDS, 2002(06)
1234