TY - JOUR
T1 - Numerical study of a non-local weakly nonlinear model for a liquid film sheared by a turbulent gas
AU - Lin, Te-Sheng
AU - Tseluiko, Dmitri
AU - Kalliadasis, Serafim
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We investigate a weakly nonlinear equation that arises in the modelling of wave dynamics on a liquid film flowing down an inclined plane when a turbulent gas flows above it. The model is the Kuramoto-Sivashinsky equation with an additional non-local term multiplied by a parameter representing the relative importance of the turbulent gas. The non-local term has a dispersive effect, destabilising effect on long waves and stabilising or destabilising effect on short waves depending on whether the gas flows downwards or upwards. We investigate the influence of this term on the dynamics of the Kuramoto-Sivashinsky equation by extensive numerical experiments. When the gas parameter is sufficiently large, the solution evolves into a row of weakly interacting pulses.
AB - We investigate a weakly nonlinear equation that arises in the modelling of wave dynamics on a liquid film flowing down an inclined plane when a turbulent gas flows above it. The model is the Kuramoto-Sivashinsky equation with an additional non-local term multiplied by a parameter representing the relative importance of the turbulent gas. The non-local term has a dispersive effect, destabilising effect on long waves and stabilising or destabilising effect on short waves depending on whether the gas flows downwards or upwards. We investigate the influence of this term on the dynamics of the Kuramoto-Sivashinsky equation by extensive numerical experiments. When the gas parameter is sufficiently large, the solution evolves into a row of weakly interacting pulses.
UR - http://www.scopus.com/inward/record.url?scp=84894141880&partnerID=8YFLogxK
U2 - 10.1016/j.piutam.2014.01.052
DO - 10.1016/j.piutam.2014.01.052
M3 - Conference article
AN - SCOPUS:84894141880
SN - 2210-9838
VL - 11
SP - 98
EP - 109
JO - Procedia IUTAM
JF - Procedia IUTAM
T2 - IUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale
Y2 - 14 April 2013 through 17 April 2013
ER -