  We explore the hydrodynamic analogues of quantum wave-particle duality in the
context of a bouncing droplet system which we model in such a way as to promote
comparisons to the de Broglie-Bohm interpretation of quantum mechanics. Through
numerical means we obtain single-slit diffraction and double-slit interference
patterns that strongly resemble those reported in experiment and that reflect a
striking resemblance to quantum diffraction and interference on a
phenomenological level. We, however, identify evident differences from quantum
mechanics which arise from the governing equations at the fundamental level.
