adaptive mesh in LBM

Hello everybody
I use LBM to simulate flow in very small and big tubes in one moment.
Therefore, in big tubes the number of nodes/points can be too big, on
the other side, in small can be not big enough.
Maybe, has somebody heard about LBM with adaptive mesh?
For example, with different deltaX but without boundary condition
between tubes with different deltaX (small and big tubes).

Thanks for any help

You should have a look at the work by Manfred Krafczyk. He is also dealing with grid refinement. This might just help you.