Rankine-type cylinders having zero wave resistance in infinitely deep flows. (15th April 2020)

• Record Type: Journal Article
• Authors: Dambrine, Julien; Noviani, Evi; Pierre, Morgan
• Is Part Of: IMA journal of applied mathematics. Volume 85:Number 3(2020)
• Page Start: 343
• Page End: 364
• Publication Date: 2020-04-15
• Subjects: Rankine oval -- Neumann–Kelvin problem -- wave resistance -- potential flow -- linear water waves; Mathematics -- Periodicals; Mathematics; Periodicals; 519
• DOI: 10.1093/imamat/hxaa008
• Languages: English
• ISSNs: 0272-4960

Abstract

Abstract: We prove the existence of a family of immersed obstacles that have zero wave resistance in the context of the 2D Neumann–Kelvin problem. We first build a waveless potential by superposing a source and a sink in a uniform flow for an appropriate choice of parameters. The obstacle is obtained by a combination of streamlines of the waveless potential. Numerical simulations show that the construction is valid for a large set of parameters.