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?
If you have the specific internal energy e in units of J/kg, then
e = DRT/2,
T = 2e/(DR),
where D is the number of dimensions (normally 3), R is the gas constant, and T the temperature.
Hope that helps,