Abstract

A moving atmospheric pressure disturbance can induce a system of forced water waves. As predicted by the linear theory, an infinite wave height will be induced when the Froude number Fr=1, which is known as the Proudman resonance. Fr is defined as the ratio between the moving speed of an atmospheric pressure disturbance and the phase velocity of shallow water wave. The Proudman resonance is thought to be one of main mechanisms for the destructive meteotsunami (Monserrat et al., 2006). In this study, the nonlinear shallow water equations are used to describe the waves induced by a moving pressure disturbance, and the impact factors to the maximum water elevation in the case of Fr=1 are discussed.

Highlights

  • A moving atmospheric pressure disturbance can induce a system of forced water waves

  • THE RESONANCE PHENOMENON The forced wave induced by a low pressure of centrosymmetric distribution, which is travelling with a constant velocity in an unbounded sea of constant depth, has been numerically investigated (Niu and Zhou, 2015)

  • When Fr

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Summary

Introduction

A moving atmospheric pressure disturbance can induce a system of forced water waves. As predicted by the linear theory, an infinite wave height will be induced when the Froude number Fr=1, which is known as the Proudman resonance. THE RESONANCE PHENOMENON The forced wave induced by a low pressure of centrosymmetric distribution, which is travelling with a constant velocity in an unbounded sea of constant depth, has been numerically investigated (Niu and Zhou, 2015). When Fr

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