Numerical analysis of a weighted-residual integral boundary-layer model for nonlinear dynamics of falling liquid films
type: Item
instance of: scholarly article
title: Numerical analysis of a weighted-residual integral boundary-layer model for nonlinear dynamics of falling liquid films
zbMATH Open document ID: 1153.76321
author: A. Oron
author: Elena Novbari
author: O. Gottlieb
published in: European Journal of Mechanics. B. Fluids
publication date: 2009-02-10T00:00:00Z
Mathematics Subject Classification ID: 76A20
Mathematics Subject Classification ID: 76E17
zbMATH DE Number: 5505580
zbMATH Keywords: falling liquid films
zbMATH Keywords: longwave theory
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: bifurcations
MaRDI profile type: Publication
full work available at URL: j.euromechflu.2007.12.002
OpenAlex ID: W2032614910
cites work: Long Waves on Liquid Films
cites work: Occurrence of Finite-Amplitude Surface Waves on Falling Liquid Films
cites work: Waves on a viscous fluid film down a vertical wall
cites work: Traveling waves on vertical films: Numerical analysis using the finite element method
cites work: Solitary waves on inclined films: Flow structure and binary interactions
cites work: Numerical simulation of wavy falling film flow using VOF method.
cites work: The evolution and subsequent dynamics of waves on a vertically falling liquid film
cites work: Instabilities of three-dimensional viscous falling films
cites work: A full-scale numerical study of interfacial instabilities in thin-film flows
cites work: Nonlinear dynamics of temporally excited falling liquid films
cites work: STABILITY AND BIFURCATIONS OF PARAMETRICALLY EXCITED THIN LIQUID FILMS
cites work: On solitary waves running down an inclined plane
cites work: Validity domain of the Benney equation including the Marangoni effect for closed and open flows
cites work: Finite amplitude side-band stability of a viscous film
cites work: Subcritical and supercritical bifurcations of the first- and second-order Benney equations
cites work: Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number
cites work: Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations
cites work: Wave formation in laminar flow down an inclined plane
cites work: Stability of Liquid Flow down an Inclined Plane
cites work: A two-parameter manifold of wave solutions to a equation for a falling film of a viscous fluid.
cites work: Waves induced by instability in falling films of finite thickness
cites work: Wave formation on vertical falling liquid films
cites work: Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films
cites work: Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
cites work: Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
cites work: Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
cites work: Wave patterns in film flows: modelling and three-dimensional waves
DOI: 10.1016/J.EUROMECHFLU.2007.12.002
description: scientific article; zbMATH DE number 5505580