Reduced modeling of transitional exact coherent states in shear flow etc15 Tracking Number 141Presentation: Session: Instability and Transition 2 Room: Room A Session start: 15:00 Tue 25 Aug 2015 Cedric Beaume ced.beaume@gmail.com Affifliation: Imperial College London Greg Chini greg.chini@unh.edu Affifliation: University of New Hampshire, Durham Keith Julien keith.julien@colorado.edu Affifliation: University of Colorado, Boulder Edgar Knobloch knobloch@berkeley.edu Affifliation: University of California, Berkeley Topics: - Instability and transition, - Vortex dynamics and structure formation, - Wall bounded flows Abstract: In parallel shear flows, the lower branch solution follows simple streamwise dynamics. A decomposition of this solution into Fourier modes in this direction yields modes whose amplitudes scale with inverse powers of the Reynolds number. We use this scaling to derive a reduced model for exact coherent structures in general parallel shear flows. The reduced model is regularized by retaining higher order viscous terms. Both lower branch and upper branch solutions are captured and studied. |