Hello
In many papers it is said that for incompressible flows the best choice is when Ma << 1.
But when we take simple example:
dt_lb = dx_lb = 1 (as it is established in many papers)
u_lb = dx_lb / dt_lb = 1
c_s = u_lb/sqrt(3) = 1/sqrt(3)
so
Ma = u_lb / c_s > 1

So this is correct, where do I make a mistake in my thinking?
Thanks for help and advices.

Hi, as I know the u_lb is found by another formula: u_lb= u_ph dt_ph / dx_ph.
It is necessary to provide that Ma=|u_lb |/c_s should be small where c_s=1/sqrt(3).
Details will be explained by more skilled experts…

There are three categories velocity in LBM: the first one is molecular velocity (v_molecular) which is as the same order with Sound speed, in the LBM v_molecular=u_lb ; the second is the fluid velocity (v_fluid); the third is the peculiar velocity: v_perculiar=v_molecular-v_fluid.