Abstract
Following the experiments of Chabchoub et al. (2012b), super rogue waves up to the fifth order are simulated in a numerical wave tank under the framework of Navier-Stokes equations for the first time. The numerical wave tank solves 2D Navier-Stokes equations by using the Finite Difference Method and simulates free-surface flows by the Volume-of-Fluid method. The simulation results are verified against the theory of high-order rational solutions of the cubic Schrödinger equation. The features of localized velocity and pressure field are investigated by making comparison against those of standard 5-order Stokes waves. It is found that the flow field patterns of super rogue waves resemble those of equivalent Stokes waves while notable quantitative difference can be observed.
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