Spatial Instability of Asymmetric Base Flow Profiles in Shallow Water

15th International Conference Mathematical Modelling and Analysis: Abstracts 2010
Andrejs Koliškins, Irīna Eglīte

In the present paper a spatial linear stability problem for an asymmetric base flow with the two-layer structure described above is analyzed. Linear stability characteristics (marginal stability curves and growth rates for the most unstable mode) are calculated using collocation method based on Chebyshev polynomials. Growth rates and critical values of the bed-friction number are compared with linear stability characteristics for the corresponding symmetric base flow profile.

Keywords
shallow mixing layer, linear stability, asymmetric base flow profile

Koliškins, A., Eglīte, I. Spatial Instability of Asymmetric Base Flow Profiles in Shallow Water. In: 15th International Conference Mathematical Modelling and Analysis: Abstracts, Lithuania, Druskininkai, 26-29 May, 2010. Vilnius: Technika, 2010, pp.48-48. ISBN 978-9955-28-595-3.

Publication language
English (en)