Linear and weakly nonlinear analysis of shallow mixing layers with free surface is performed in the present paper. It is assumed that the resistance force is not constant in the transverse direction of the flow. Linear stability problem is solved numerically for different values of the parameters of the problem. Assuming that the bed friction number is slightly smaller than the critical value we derive an amplitude evolution equation for the most unstable mode. It is shown that the amplitude equation is the complex Schrödinger equation.


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    Titel :

    Stability of shallow flows: A weakly nonlinear approach


    Beteiligte:

    Kongress:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Erschienen in:

    Erscheinungsdatum :

    27.01.2017


    Format / Umfang :

    7 pages





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



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