21 citations · 21 across the 13 of their papers we have counts for
14 papers · 1 filter
Particle Trajectories Beneath Fully Nonlinear Waves Generated by Horizontal Seabed Motion
João Vitor P. Poletto, David Andrade, Marcelo V. Flamarion +1
We investigate fully nonlinear water waves and fluid-particle dynamics generated by the horizontal motion of a seabed obstacle with prescribed time-dependent velocity. The governin…
The effect of normal electric fields on the Stokes drift
Luiz P. Palacio, Marcelo V. Flamarion, Tao Gao +1
In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been cond…
Full Euler equations for waves generated by vertical seabed displacements
Joao Vitor Parada Poletto, David Andrade, Marcelo V. Flamarion +1
We present a novel numerical method for simulating the generation and propagation of surface gravity waves by vertical seabed displacements. The cornerstone of our method is the co…
Flow structure beneath periodic waves with constant vorticity under normal electric fields
Marcelo V. Flamarion, Tao Gao, Roberto Ribeiro-Jr +1
Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge…
Pressure anomalies beneath solitary waves with constant vorticity
Eduardo M. Castro, Marcelo V. Flamarion, Roberto Ribeiro-Jr
While some works have investigated the particle trajectories and stagnation points beneath solitary waves with constant vorticity, little is known about the pressure beneath such w…
Numerical stability of solitary waves in flows with constant vorticity for the Euler equations
Eduardo M. Castro, Marcelo V. Flamarion, Roberto Ribeiro-Jr
The study of the Euler equations in flows with constant vorticity has piqued the curiosity of a considerable number of researchers over the years. Much research has been conducted…
Solitary waves on flows with an exponentially sheared current and stagnation points
Marcelo V. Flamarion, Roberto Ribeiro-Jr
While several articles have been written on water waves on flows with constant vorticity, little is known about the extent to which a nonconstant vorticity affects the flow structu…
The wave stability of solitary waves over a bump for the full Euler equations
Marcelo V. Flamarion, Roberto Ribeiro-Jr
In this work, we present a numerical study of the wave stability of steady solitary waves over a localised topographic obstacle through the full Euler equations. There are two bran…
Trapped solitary waves and collisions for the forced Korteweg-de Vries equation
M. V. Flamarion, P. A. Milewski, R. Ribeiro-Jr
The aim of this work is to study trapped waves and their collisions between two topographic obstacles for the forced Korteweg-de Vries equation. Numerical simulations show that sol…
Gravity-capillary wave interactions generated by moving disturbances: Euler equations framework
M. V. Flamarion, R. Ribeiro-Jr
The aim of this work is to investigate the interaction of gravity-capillary waves resonantly excited by two moving disturbances along the free surface. The problem is formulated us…
Gravity-capillary flows over obstacles for the fifth-order forced Korteweg-de Vries equation
Marcelo V. Flamarion, Roberto Ribeiro-Jr
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 regim…
An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies
Marcelo V. Flamarion, Roberto Ribeiro-Jr
An iterative numerical method to compute the conformal mapping in the context of propagating water waves over uneven topographies is investigated. The map flattens the fluid domain…
Solitary water wave interactions for the Forced Korteweg-de Vries equation
M. V. Flamarion, R. Ribeiro-Jr
The aim of this work is to study solitary water wave interactions between two topographic obstacles for the forced Korteweg-de Vries equation (fKdV). Focusing on the details of the…
Trapped solitary-wave interaction for Euler equations with low pressure region
Marcelo V. Flamarion, Roberto Ribeiro-Jr
Trapped solitary-wave interaction is studied under the full Euler equations in the presence of a variable pressure distribution along the free surace. The physical domain is flatte…