The second-order diffraction potential around a bottom-seated compound cylinder is
considered. The solution method is based on a semi-analytical formulation for the double-
frequency diffraction potentials, which are properly decomposed into a rational number of
components in order to satisfy all boundary conditions involved in the problem. The solution
process results in two different Sturm–Liouville problems which are treated separately in the
ring-shaped fluid regions defined by the geometry of the structure. The matching of the …