Interaction of mode-one internal solitary waves of opposite polarity in double-pycnocline stratifications. (10th May 2023)

• Record Type: Journal Article
• Authors: Lamb, Kevin G.
• Is Part Of: Journal of fluid mechanics. Volume 962(2023)
• Publication Date: 2023-05-10
• Subjects: solitary waves -- internal waves; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2023.284
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: Abstract : Numerical simulations of the interaction of internal solitary waves (ISWs) of opposite polarity are conducted by solving the incompressible Euler equations under the Boussinesq approximation. A double-pycnocline stratification is used. A method to determine when ISWs of both polarities exist is also presented. The simulations confirm previous work that the interaction of waves of the same polarity are soliton-like; however, here it is shown that when a fast ISW with the same polarity as a Korteweg–de Vries (KdV) solitary wave catches up and interacts with a slower ISW of opposite polarity, the interaction can be far from soliton-like. The energy in the fast KdV-polarity wave can increase by more than a factor of 5 while the energy in the slower negative-KdV-polarity wave can decrease by 50 %. Large trailing wave trains may be generated and in some cases multiple ISWs with KdV polarity may be formed by the interaction.