2D versus 1D models for thin film flows (INVITED)

Abstract eng:
The present paper first develop by using Prandtl shift system of coordinate an efficient tool for computing simple asymptotic expansion of 3D flow of thin films over a general non flat topography. 2D related two equations models are thus presented and generalize those classicaly obtained on plane surface. An asymptotic framework is also presented in order to elaborate simplified 1D two (or 3) equations models when the topography of the 2D models presents characteristics of 1 dimensionnal channel with general shape of cross sections. In the special case of Shallow water equations of hydraulic the new models are compared to the classical one used in standart hydraulic

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket