a discussion about heat transfer problem using LBM

Lattice Boltzmann Method LBM: Theory
#1

Dear all
I am trying to use the HE model to solve the natural convection problem using LBM.
We can only get the internal energy. So then how can I get the temperature?
Best wishes!
Li Zheng

#2

Hi,

If you have the specific internal energy e in units of J/kg, then

e = DRT/2,
and
T = 2e/(DR),

where D is the number of dimensions (normally 3), R is the gas constant, and T the temperature.

Hope that helps,
Erlend