Weakly Nonlinear Analysis of Shallow Mixing Layers with Variable Friction

Materials of the 11th World Congress on Computational Mechanics, 6th European Conference on Computational Fluid Dynamics 2014
Irīna Eglīte, Andrejs Koliškins, Mohamed S. Ghidaoui

Methods of linear and weakly nonlinear stability theory are widely used for the analysis of shallow mixing layers. It is known that bottom friction in shallow water, where the horizontal length scale is significantly larger the flow depth, plays an important role for the development of instability.In the present paper we perform linear and weakly nonlinear stability analysis of shallow mixing layers with variable friction coefficient. One important case of a situation where friction force varies in the transverse direction is related to shallow flows during floods where water flows through partially vegetated area or in compound and composite channels.

Keywords
Weakly Nonlinear Theory, Shallow Water, Ginzburg-Landau Equation
Hyperlink
http://www.wccm-eccm-ecfd2014.org/admin/files/fileabstract/a1028.pdf

Eglīte, I., Koliškins, A., Ghidaoui, M. Weakly Nonlinear Analysis of Shallow Mixing Layers with Variable Friction. In: Materials of the 11th World Congress on Computational Mechanics, 6th European Conference on Computational Fluid Dynamics, Spain, Barselona, 20-25 July, 2014. Barselona: 2014, pp.1-2.

Publication language
English (en)