Dear friends
I want to expand the LB equation by Chapman-enskog to derive extended Bousinnesq equations.
This system of equations contain two nonlinear equation with two main unknowns. In the one of these two equatios, we have a third order differential term that is first order temporal and second order spatial.
Now I do not know that how can I expand the LB equation to cover this term.
I will be so grateful if you help me.
Regards