Hi Friends,

I am trying to simulate mixed convection problem using Lattice Boltzmann method, and trying to make it grid independent.

I have assigned the values in the following way:

grid size: nx=200, ny=200

alpha=0.0141

visco=0.01

Prandtl number=0.71

tauf=(3*visco+0.5).........for momentum distribution function

taug=(3*alpha+0.5)........for thermal distribution function

u_top=(Re*visco)/(sqrt(3)*nx)

Ma=u_top*(sqrt(3))

Now, this top lid velocity(u_top) is used in the iterations to calculate the macroscopic variables. Since, u_top is depending on grid size, so every time this input parameter gets changed with changing grid size.Hence, I am facing problem with this grid independence test. It would be a great help if anyone can suggest me any solution.

Shikha