Lattice Boltzmann simulation of electrochemical systems

被引:125
作者
He, XY [1 ]
Li, N [1 ]
机构
[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA
关键词
electrochemistry; lattice Boltzmann method; boundary condition;
D O I
10.1016/S0010-4655(00)00103-X
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We propose a lattice Boltzmann model for studying electrochemical processes. A new lattice Boltzmann equation is introduced to simulate ion transports, including migration in an electric field, diffusion in a concentration gradient, and convection with fluid flow. The electrode reaction is incorporated via special boundary conditions for electric potential and ion flux. Benchmark studies on a variety of electrochemical problems, including the convective diffusion, the primary and secondary current distributions, and a general case, yield satisfactory results. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:158 / 166
页数:9
相关论文
共 24 条
[1]   DIFFUSION AND HYDRODYNAMIC DISPERSION WITH THE LATTICE BOLTZMANN METHOD [J].
CALI, A ;
SUCCI, S ;
CANCELLIERE, A ;
BENZI, R ;
GRAMIGNANI, M .
PHYSICAL REVIEW A, 1992, 45 (08) :5771-5774
[2]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342
[3]   Lattice Boltzmann method for fluid flows [J].
Chen, S ;
Doolen, GD .
ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364
[4]   LATTICE METHODS AND THEIR APPLICATIONS TO REACTING SYSTEMS [J].
CHEN, S ;
DAWSON, SP ;
DOOLEN, GD ;
JANECKY, DR ;
LAWNICZAK, A .
COMPUTERS & CHEMICAL ENGINEERING, 1995, 19 (6-7) :617-646
[5]   LATTICE BOLTZMANN COMPUTATIONS FOR REACTION-DIFFUSION EQUATIONS [J].
DAWSON, SP ;
CHEN, S ;
DOOLEN, GD .
JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (02) :1514-1523
[6]  
*FIDAP, 1993, FIDAP MAN
[7]   ON THE KINETIC THEORY OF RAREFIED GASES [J].
GRAD, H .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :331-407
[8]   LATTICE BOLTZMANN MODEL OF IMMISCIBLE FLUIDS [J].
GUNSTENSEN, AK ;
ROTHMAN, DH ;
ZALESKI, S ;
ZANETTI, G .
PHYSICAL REVIEW A, 1991, 43 (08) :4320-4327
[9]   A novel thermal model for the lattice Boltzmann method in incompressible limit [J].
He, X ;
Chen, S ;
Doolen, GD .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 146 (01) :282-300
[10]  
HE X, 1999, IN PRESS MOL SIMUL