(Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1993-08)
Womeldorf, Carole A.
We begin with the linearized irrotational theory describing the diffraction of an incoming plane wave by a vertical cylinder. From the free-surface
motion, we describe the boundary-layer flow field U0i near that
cylinder. The flow field is then used to calculate the modified convective velocities Ui and symmetric dispersivities Dij.
Through our calculations we have demonstrated convective flow
reversal for both large and very small cylinders. In addition we have
characterized four regions of waves and transport about the large cylinder
relating to the different characteristics of each region: reflected region,
scattered region, plane wave region, and sharp-edged shadow region. Our
understanding of the transport velocities and dispersivities allows us to
speculate qualitatively on the transport of fine particles near a round island in
a diffracted wave field.