Cloaking a vertical cylinder via homogenization in the mild-slope equation. (6th May 2016)

• Record Type: Journal Article
• Authors: Dupont, G.; Guenneau, S.; Kimmoun, O.; Molin, B.; Enoch, S.
• Is Part Of: Journal of fluid mechanics. Volume 796(2016:Jun.)
• Publication Date: 2016-05-06
• Subjects: surface gravity waves, -- wave scattering, -- wave–structure interactions; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2016.249
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract : We describe a method to construct devices which allows a vertical rigid cylinder to be cloaked for any far-field observer in the case of linear water waves. An adaptation of parameters given by a geometric transform performed in the mild-slope equation is achieved via homogenization. The final device, which respects the physical constraints of the problem, is obtained with a conformal mapping. The result of this algorithm is a structure surrounding the vertical cylinder, composed of an annular region with varying bathymetry and with rigid vertical objects piercing the free surface. An approximate cloaking is achieved, which implies a reduction of the mean drift force acting on the cylinder.