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 ...