Spatial Stability Analysis of Curved Shallow Mixing Layers

Mathematical Models and Methods in Modern Science 2013
Irīna Eglīte, Andrejs Koliškins

Spatial stability analysis of slightly curved shallow mixing layers is presented in the paper. Linear stability problem is solved by means of the collocation method based on Chebyshev polynomials. Since spatial stability problem is nonlinear, a computational scheme based on the combination of bisection method and the solution of linear generalized eigenvalue problem is used to calculate growth rates for the most unstable mode. Results of numerical calculations show that both bottom friction and curvature have a stabilizing influence on the flow.

Keywords
Spatial stability, mixing layer, shallow water, collocation method
Hyperlink
http://www.wseas.us/e-library/conferences/2013/Lemesos/MIM/MIM-12.pdf

Eglīte, I., Koliškins, A. Spatial Stability Analysis of Curved Shallow Mixing Layers. In: Mathematical Models and Methods in Modern Science: 15th International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems, Cyprus, Limassol, 21-23 March, 2013. Athens: WSEAS Press, 2013, pp.104-108.

Publication language
English (en)