  We employ a lattice Boltzmann method to compute the acoustic radiation force
produced by standing waves on a compressible object. Instead of simulating the
fluid mechanics equations directly, the proposed method uses a lattice
Boltzmann model that reproduces the wave equation, together with a kernel
interpolation scheme, to compute the first order perturbations of the pressure
and velocity fields on the object's surface and, from them, the acoustic
radiation force. The procedure reproduces with excellent accuracy the
theoretical expressions by Gor'kov and Wei for the sphere and the disk,
respectively, even with a modest number of lattice Boltzmann cells. The
proposed method shows to be a promising tool for simulating phenomena where the
acoustic radiation force plays a relevant role, like acoustic tweezers or the
acoustic manipulation of microswimmers, with applications in medicine and
engineering.
