怎样修改多组分（溶液）单相流LBE才能满足电中性的要求

matrixmess

怎样修改多组分（溶液）单相流LBE才能满足电中性的要求

luo@odu.edu

Isn't the charge conservation equivalent to the mass conservation?

matrixmess

谢谢罗老师的回复！根据Nernst-Einstein方程计算静电势梯度，然后就可以加一项到质量守恒方程中使其满足电中性的要求。但是这个修改怎样体现在LBE中呢？是不是需要修改平衡根部函数呢？

luo@odu.edu

You don't start with the macroscopic equation (Nernst-Einstein eq. in this case). What you have to do is to construct the collision process which leads to NE equation. This is how LBE work. For example, you don't start with Navier-Stokes equations, but you construct the collision process which respects conservations of mass, momentum, and energy and naturally leads to the N-S equations. Thus, you should have a collision operator which respect charge conservation to begin with, among other things, which will lead to N-E equation.

[ 本帖最后由 luo@odu.edu 于 2012-2-16 21:07 编辑 ]

matrixmess

Thanks Mr. Luo. I get it. A electric force term should be added to incorporate further ions migration induced by electric field, which is similar to the intermolecular force in
multiphase flow. The electric potential is involved in the electric force term and it must be determined by additional physical laws,such as Nernst-Einstein equ. or Poisson equ..