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

    Mellibovsky Elstein, Fernando; Eckhardt, Bruno (2012-10-25)
    Article
    Accés restringit per política de l'editorial
    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
    Accés restringit per política de l'editorial
    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
    Accés obert
    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 ...