Ginzburg-Landau Model for Curved Two-Phase Shallow Mixing Layers

World Academy of Science, Engineering and Technology 2012
Irina Eglīte, Andrejs Koliškins

Method of multiple scales is used in the paper in order to derive an amplitude evolution equation for the most unstable mode from two-dimensional shallow water equations under the rigid-lid assumption. It is assumed that shallow mixing layer is slightly curved in the longitudinal direction and contains small particles. Dynamic interaction between carrier fluid and particles is neglected. It is shown that the evolution equation is the complex Ginzburg-Landau equation. Explicit formulas for the computation of the coefficients of the equation are obtained.

Keywords
Shallow water equations, mixing layer, weakly nonlinear analysis, Ginzburg-Landau equation
Hyperlink
https://estudijas.rtu.lv/file.php/52172/2012._gada_aprilis/11.-13.04.-International_Conference_on_Computational_and_Applied_Mathematics-Italy/Paper_I.Eglite.pdf

Eglīte, I., Koliškins, A. Ginzburg-Landau Model for Curved Two-Phase Shallow Mixing Layers. World Academy of Science, Engineering and Technology, 2012, Vol.6, No.4, pp.146-150. ISSN 2010-376X. e-ISSN 2010-3778.

Publication language
English (en)