Asymptotic Analysis of Non-Parallel Instability of Shallow Mixing Layers with Variable Friction

14th Conference on Applied Mathematics (APLIMAT 2015) 2015
Ilmārs Iltiņš, Marija Iltiņa, Andrejs Koliškins

Methods of weakly nonlinear theory are used in the present paper to derive an amplitude evolution equation for the development of instability in a shallow mixing layer. It is assumed that the flow is governed by shallow water equations. Friction term is modeled by means of the Chezy formula where the friction coefficient depends on the transverse coordinate.

Keywords
Weakly nonlinear theory, shallow flow, instability

Iltiņš, I., Iltiņa, M., Koliškins, A. Asymptotic Analysis of Non-Parallel Instability of Shallow Mixing Layers with Variable Friction. In: 14th Conference on Applied Mathematics (APLIMAT 2015), Slovakia, Bratislava, 3-5 February, 2015. Bratislava: Slovak University of Technology, 2015, pp.400-405.

Publication language
English (en)