Controlling near shore nonlinear surging waves through bottom boundary conditions

TL;DR

This paper explores a novel method to control hazardous near shore nonlinear waves, including tsunamis, by manipulating bottom boundary conditions to regulate wave amplitude and mitigate risks.

Contribution

It introduces a theoretical approach for controlling surface waves via bottom boundary feedback, offering a potential method for tsunami hazard mitigation.

Findings

Controlled leakage at the bottom can regulate wave amplitude.

The approach is applicable to real coastal bathymetry in India.

The method opposes the effects of variable depth on wave surging.

Abstract

Instead of taking the usual passive view for warning of near shore surging waves including extreme waves like tsunamis, we aim to study the possibility of intervening and controlling nonlinear surface waves through the feedback boundary effect at the bottom. It has been shown through analytic result that the controlled leakage at the bottom may regulate the surface solitary wave amplitude opposing the hazardous variable depth effect. The theoretical results are applied to a real coastal bathymetry in India.