Examples of speaker assemblies are described. A speaker assembly according to some embodiments may include a speaker enclosure with a first opening (e.g., a speaker opening) and a second opening (e.g. a bass reflex port), a speaker unit mounted to the enclosure at the first opening, and an acoustic damping mechanism mounted to the enclosure at the second opening. The acoustic damping mechanism may be a dual-layer mesh screen including a first mesh with a first acoustic resistance (AR) for providing acoustic damping, and a second mesh with a second AR lower than the first AR. The second mesh may be nearly acoustically transparent and may serve to increase the stiffness of the first mesh. The first mesh may be bonded to the second mesh, and the dual-layer mesh screen may be coupled to the bass reflex port for reducing noise associated with turbulence at the port.