Now showing items 1-3 of 3

  • From travelling waves to mild chaos: a supercritical bifurcation cascade in pipe flow 

    Mellibovsky Elstein, Fernando; Eckhardt, Bruno (2012-10-25)
    Article
    Restricted access - publisher's policy
    We study numerically a succession of transitions in pipe Poiseuille flow that leads from simple travelling waves to waves with chaotic time-dependence. The waves at the origin of the bifurcation cascade possess a shift-reflect ...
  • Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation 

    Dijkstra, Hendrik; Wubs, Fred W.; Cliffe, Andrew K.; Doedel, Eusebius J.; Dragomirescu, Ioana Florica; Eckhardt, Bruno; Gelfgat, Alexander Yu; Hazel, Andrew L.; Lucarini, Valerio; Salinger, Andrew G.; Phipps, Erik T.; Sánchez Umbría, Juan; Schuttelaars, Henk M.; Tuckerman, Laurette S.; Thiele, Uwe (2014-01)
    Article
    Restricted access - publisher's policy
    We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical problems. Many of these problems are characterized by high-dimensional dynamical systems which ...
  • Takens–Bogdanov bifurcation of travelling-wave solutions in pipe flow 

    Mellibovsky Elstein, Fernando; Eckhardt, Bruno (2011-02)
    Article
    Open Access
    The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail. We focus on solutions in the twofold azimuthally-periodic ...