LATTICE BOLTZMANN MODEL OF IMMISCIBLE FLUIDS

被引:1357
作者
GUNSTENSEN, AK
ROTHMAN, DH
ZALESKI, S
ZANETTI, G
机构
[1] ECOLE NORM SUPER, PHYS STAT LAB, F-75231 PARIS 05, FRANCE
[2] PRINCETON UNIV, PROGRAM COMP & APPL MATH, PRINCETON, NJ 08544 USA
来源
PHYSICAL REVIEW A | 1991年 / 43卷 / 08期
关键词
D O I
10.1103/PhysRevA.43.4320
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce a lattice Boltzmann model for simulating immiscible binary fluids in two dimensions. The model, based on the Boltzmann equation of lattice-gas hydrodynamics, incorporates features of a previously introduced discrete immiscible lattice-gas model. A theoretical value of the surface-tension coefficient is derived and found to be in excellent agreement with values obtained from simulations. The model serves as a numerical method for the simulation of immiscible two-phase flow; a preliminary application illustrates a simulation of flow in a two-dimensional microscopic model of a porous medium. Extension of the model to three dimensions appears straightforward.
引用
收藏
页码:4320 / 4327
页数:8
相关论文
共 23 条
[1]  
[Anonymous], 1982, MOL THEORY CAPILLARI
[2]   LATTICE GAS WITH A LIQUID-GAS TRANSITION [J].
APPERT, C ;
ZALESKI, S .
PHYSICAL REVIEW LETTERS, 1990, 64 (01) :1-4
[3]  
Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA
[4]   A KNUDSEN LAYER THEORY FOR LATTICE GASES [J].
CORNUBERT, R ;
DHUMIERES, D ;
LEVERMORE, D .
PHYSICA D, 1991, 47 (1-2) :241-259
[5]  
Davis PJ, 1979, CIRCULANT MATRICES
[6]   LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION [J].
FRISCH, U ;
HASSLACHER, B ;
POMEAU, Y .
PHYSICAL REVIEW LETTERS, 1986, 56 (14) :1505-1508
[7]  
FRISCH U, 1987, COMPLEX SYSTEMS, V1, P648
[8]   A LATTICE-GAS MODEL FOR 3 IMMISCIBLE FLUIDS [J].
GUNSTENSEN, AK ;
ROTHMAN, DH .
PHYSICA D, 1991, 47 (1-2) :47-52
[9]   A GALILEAN-INVARIANT IMMISCIBLE LATTICE GAS [J].
GUNSTENSEN, AK ;
ROTHMAN, DH .
PHYSICA D, 1991, 47 (1-2) :53-63
[10]  
HENON M, 1989, DISCRETE KINETIC THE, P146