  It has been demonstrated that Lattice Boltzmann schemes (LBSs) are very
efficient for Computational AeroAcoustics (CAA). In order to handle the issue
of absorbing acoustic boundary conditions for LBS, three kinds of damping terms
are proposed and added into the right hand sides of the governing equations of
LBS. From the classical theory, these terms play an important role to absorb
and minimize the acoustic wave reflections from computational boundaries.
Meanwhile, the corresponding macroscopic equations with the damping terms are
recovered for analyzing the macroscopic behaviors of the these damping terms
and determining the critical absorbing strength. Further, in order to detect
the dissipation and dispersion behaviors, the linearized LBS with the damping
terms is derived and analyzed. The dispersive and dissipative properties are
explored in the wave-number spaces via the Von Neumann analysis. The related
damping strength critical values and the optimal absorbing term are addressed.
Finally, some benchmark problems are implemented to assess the theoretical
results.
