http://www.channelflow.org/dokuwiki/ 2010-03-11T14:54:28-08:00 http://www.channelflow.org/dokuwiki/ http://www.channelflow.org/dokuwiki/lib/images/favicon.ico text/html 2010-03-11T06:41:41-08:00 John F. Gibson http://www.channelflow.org/dokuwiki/doku.php/chaosbook:smale?rev=1268318501&do=diff <- chaosbook (ChaosBook.org blog, chapter Qualitative dynamics, for cyclists) --- Predrag Cvitanovic 2009-02-11 12:55 Section: Going global: stable/unstable manifolds Predrag 2009-03-05 added new text on construction of unstable manifolds, arclength parametrization, return maps - still in progress text/html 2010-03-08T08:41:22-08:00 John F. Gibson http://www.channelflow.org/dokuwiki/doku.php/gibson:publications?rev=1268066482&do=diff [Snakes and ladders: localized solutions of plane Couette flow] Tobias M. Schneider, John F. Gibson, and John Burke Phys. Rev. Lett. (2010) 104 104501 (awarded Editor's Suggestion) [Equilibrium and traveling-wave solutions of plane Couette flow] John F. Gibson, Jonathan Halcrow, and Predrag Cvitanović J. Fluid Mech. (2009) 638 pp. 243-266 text/html 2010-03-04T17:37:53-08:00 John F. Gibson http://www.channelflow.org/dokuwiki/doku.php/docs:utils:findsoln?rev=1267753073&do=diff find an equilibrium, traveling wave, periodic orbit, or relative periodic orbit of plane Couette or channel flow, using a Newton-Krylov-hookstep search algorithm. -eqb --equilibrium search for equilibrium or relative equilibrium (trav wave) -orb --periodicorbit search for periodic orbit or relative periodic orbit -xrel --xrelative search over x phase s… text/html 2010-03-04T17:35:58-08:00 John F. Gibson http://www.channelflow.org/dokuwiki/doku.php/docs:utils:continuefields?rev=1267752958&do=diff Quadratic extrapolation of FlowField u(mu) as function of parameter mu, where mu is one of Reynolds number, dP/dx, Lx, Lz, Lx/Lz, sqrt(Lx^2 + Lz^2), or the length between the starting (Lx,Lz) and a target value of (Lx,Lz). continuesoln : (ALPHA VERSION!) continue invariant solution of plane Couette flow in Reynolds number options : -r --restart …