LINTON, C.M. and CADBY, J.R., 2003. Trapped modes in a two-layer fluid. Journal of Fluid Mechanics, 481, pp. 215–234.
Trapped-mode frequencies are computed for submerged horizontal circular cylinders
in a two-layer fluid consisting of a finite layer bounded above by a free surface and
below by an infinite layer of greater density. Two separate cases are examined. First
we consider waves which propagate along the top of a single cylinder at frequencies
below the cut-off for wave propagation away from the cylinder, and find modes
where the motion is concentrated around the interface, modes which are concentrated
around the free surface, and modes which involve significant motion of both the
interface and the free surface. Secondly, we compute modes above the cut-off for a
pair of submerged cylinders in the lower fluid.