Time-reversal of surface gravity waves via nonlinear acoustic–gravity triad resonance

Description

Time reversal of water waves is usually studied through external forcing such as sudden changes in effective gravity. In Kadri (2016, 2019), an alternative nonlinear mechanism is demonstrated: time reversal arising from resonant triad interactions between surface gravity waves and an acoustic–gravity mode. This project will reproduce and extend the amplitude-level model developed in the paper, with attention focused on the evolution equations governing the original gravity wave, the time-reversed wave, and the acoustic mode. The student will explore how interaction duration, detuning, and mode number affect the quality of time reversal. The project is theoretical and computational-driven. References: U. Kadri, T.R. Akylas, 2016. On resonant triad interactions of acoustic gravity waves. J. Fluid Mech., 788, R1(12 pages) U. Kadri, 2019. Time-Reversal Analogy by Nonlinear Acoustic-Gravity Wave Triad Resonance. Fluids 4 (2), 91.