Numerical study of a non-local weakly nonlinear model for a liquid film sheared by a turbulent gas

Te-Sheng Lin, Dmitri Tseluiko, Serafim Kalliadasis

研究成果: Conference article同行評審

5 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)98-109
頁數12
期刊Procedia IUTAM
11
DOIs
出版狀態Published - 1 一月 2014
事件IUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale - Limassol, Cyprus
持續時間: 14 四月 201317 四月 2013

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