Can I read Gravity-capillary flows over obstacles for the fifth-order forced Korteweg-de Vries equation on EtoBox?

Gravity-capillary flows over obstacles for the fifth-order forced Korteweg-de Vries equation by Flamarion, Marcelo V.; Ribeiro-Jr, Roberto is a scholarly article available to read on EtoBox.

What is Gravity-capillary flows over obstacles for the fifth-order forced Korteweg-de Vries equation about?

The aim of this work is to investigate gravity-capillary waves resonantly excited by two topographic obstacles in a shallow water channel. By considering the weakly nonlinear regime the forced fifth-order Korteweg-de Vries equation arises as a model for the free surface displacement. The water surface is initially taken at rest and the initial value problem for this equation is computed numerically using a pseudospectral method. We study near-resonant flows with intermediate capillary effects. Details of the wave interactions are analysed for obstacles with different sizes. Our numerical results indicate that the flow is not necessarily governed by the larger obstacle.

Author

Flamarion, Marcelo V.; Ribeiro-Jr, Roberto

Published

2021

Language

EN