22 citations · 81 across the 34 of their papers we have counts for
28 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…
Flow Structures Beneath Stationary Waves with Constant Vorticity Over Variable Topography
L. G. Martins, M. V. Flamarion, R. Ribeiro-Jr
The flow structures beneath waves have received significant attention from both theoretical and numerical perspectives. Most studies on this topic assume a flat bottom, leading to…
Dynamics of irregular wave fields in the Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
The present article is devoted to the study of the dynamics of narrowband wave fields within the non-integrable Schamel equation, which plays an important role in plasma physics, w…
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…
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric Fields
M. V. Flamarion, E. Kochurin, R. Ribeiro-Jr +1
While several articles have been written on Electrohydrodynamics (EHD) flows or flows with constant vorticity separately, little is known about the extent to which the combined eff…
Bipolar solitary wave interactions within the Schamel equation
Ekaterina Didenkulova, Efim Pelinovsky, Marcelo V. Flamarion
Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the contex…
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…
Non-integrable soliton gas: The Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually,…
Flow patterns induced by a moving disturbance in rotational flows within the forced Korteweg-de Vries equation
Marcelo V. Flamarion
Flow structures beneath a moving disturbance along a water free surface in the weakly nonlinear weakly dispersive regime in a sheared channel with finite depth and constant vortici…
Evolution and statistical analysis of random wave fields within the Benjamin-Ono equation
Marcelo V. Flamarion, Efim Pelinovsky
This study investigates the numerical evolution of an initially internal random wave field characterized by a Gaussian spectrum shape using the Benjamin-Ono (BO) equation. The rese…
Interaction of interfacial waves with an external force: The Benjamin-Ono equation framework
Marcelo V. Flamarion, Efim Pelinovsky
This study aims to explore the complex interactions between an internal solitary wave and an external force using the Benjamin-Ono equation as the theoretical framework. The invest…
Interactions of solitons with an external force field: Exploring the Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky
This study aims to investigate the interactions of solitons with an external force within the framework of the Schamel equation, both asymptotically and numerically. By utilizing a…
An investigation of the flow structure beneath solitary waves with constant vorticity on a conducting fluid under normal electric fields
Marcelo V. Flamarion, Tao Gao, Roberto Ribeiro-Jr
The motion of an interface separating two fluids under the effect of electric fields is a subject that has picked the attention of researchers from different areas. While there is…
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…
Soliton interactions with an external forcing: the modified Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study asymptotically and numerically the interaction of solitons with an external forcing with variable speed using the forced modified Korteweg-de Vries…
Solitary wave collisions for Whitham-Boussinesq systems
Marcelo V. Flamarion, Rosa M. Vargas-Magaña
This work concerns soliton-type numerical solutions for two Whitham-Boussinesq-type models. Solitary waves are computed using an iterative Newton-type and continuation methods with…
Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study numerically the interaction of large amplitude solitary waves with an external periodic forcing using the forced extended Korteweg-de Vries equatio…
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…