Linear Stability Analysis of Mixing Layers in Two-Phase Shallow Flows

Abstracts of the 14th International Conference "Mathematical Modelling and Analysis" 2009
Inta Volodko, Valentīna Koliškina

Linear stability analysis of mixing layers in two-phase shallow flows is performed in the present paper. Hyperbolic tangent base flow velocity profile is used to model shallow mixing layer of two merging streams. the nonlinear system of shallow water equations under the rigid-lid assumption is linearized in the neighborhood of the base flow and is reduced to one linear partial differential equation. The use of the method of normal modes transforms the obtained partial differencial equation to eigenvalue problem for a linear ordinary differential equation.

Keywords
Linear stability analysis, two-phase shallow flows

Volodko, I., Koliškina, V. Linear Stability Analysis of Mixing Layers in Two-Phase Shallow Flows. In: Abstracts of the 14th International Conference "Mathematical Modelling and Analysis", Latvia, Daugavpils, 27-30 May, 2009. Daugavpils: Daugavpils University Academic Press "Saule", 2009, pp.87-87. ISBN 9789984144399.

Publication language
English (en)