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references [2009/07/08 07:18]
references [2010/02/02 07:55]
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-====== References ====== 
-===== Numerical algorithms ===== 
-  ​ 
-   - L. Kleiser and U. Schuman, //Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows,// in  Proc. 3rd GAMM Conf. Numerical Methods in Fluid Mechanics, ed. E. Hirsch (1980) ​ 
-   - C. Canuto, M.Y. Hussaini, A. Quarteroni, and T.A. Zang,  //Spectral Methods in Fluid Dynamics//, Springer-Verlag (1998) ​ 
-   - R. Peyret, //Spectral Methods for Incompressible Flows,// Springer-Verlag (2002) ​ 
-   - D. Viswanath, //Recurrent motions within plane Couette turbulence,//​ J. Fluid Mech. 580 (2007), arXiv:/​physics/​0604062 ​ 
-   - M. Frigo and S.G. Johnson, //The Design and Implementation of FFTW3,// ​ Proceedings of the IEEE 93 (2) (2005) ​ 
-   - P.R. Spalart, R.D. Moser, M.M. Rogers. //Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions,//​ J. Comp. Phys. 96, 297--324 (1990) 
-===== Dynamics of turbulence ===== 
-   * M. Nagata, //​Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity,// J. Fluid Mech. 217 (1990). Calculation of a lower/upper branch pair of equilibrium solutions to plane Couette flow.  
-   * J. M. Hamilton, J. Kim and F. Waleffe, //​Regeneration mechanisms of near-wall turbulence structures,// ​ J. Fluid Mech. 287 (1995). ​ Identification and numerical study of organized dynamics in low-Reynolds plane Couette flow in small aspect ratio cells. ​ 
-   * F. Waleffe, //Homotopy of exact coherent structures in plane shear flows,// Phys. Fluids 15 (2003). Exact numerical solutions to plane Couette flow with a variety of boundary conditions. Nagata-Waleffe lower branch and upper branch solutions served as the starting point of our investigation. ​ 
-   ​* ​ G. Kawahara and S. Kida, //Periodic motion embedded in Plane Couette turbulence: regeneration cycle and burst,// J. Fluid Mech. 449, 291 (2001). ​ The first determination of unstable time-periodic solutions in a fully-resolved Navier-Stokes flow.  
-   * D. Viswanath, //Recurrent motions within plane Couette turbulence// ​ J. Fluid Mech. 580 (2007) [arXiv:/​physics/​0604062]. A novel combination of the Newton-hookstep trust-region minimization algorithm with the GMRES algorithm for iterative solution of high-dimensional linear algebra problems. First computation of relative periodic orbits of plane Couette flow, using a CFD algorithm to evaluate Navier-Stokes dynamics and close recurrences for initial guesses. ​ 
-   * J. F. Gibson, J. Halcrow and P. Cvitanović,​ //​Visualizing the geometry of state space in plane Couette flow,// ​ J. Fluid Mech. 611 (2008), [arXiv:​0705.3957]. A technical exposition of the material presented in this tutorial. [[http://​​~gibson/​publications/​GibsonJFM08.pdf|PDF]] 
-   * J. Halcow, J.F. Gibson, P. Cvitanović,​ and D. Viswanath, //​Heteroclinic connections in plane Couette flow,// ​ J. Fluid Mech. (2009) to appear. Calculation of four heteroclinic connections between unstable equilibria of plane Couette flow. [[http://​​~gibson/​publications/​HalcrowARX08a.pdf|PDF]] 
-   * J. Halcrow, J.F. Gibson and P. Cvitanović,​ //​Equilibrium and traveling waves solutions of low-Reynolds plane Couette flow,// Submitted to JFM [[http://​​~gibson/​publications/​HalcrowARX08b.pdf|PDF]] 
-   * T. M. Schneider, J.F. Gibson, M. Lagha, F. De Lillo, B. Eckhardt ​ //​Laminar-turbulent boundary in plane Couette flow// Phys. Rev. E (2008) ​ 78, 037301 [[http://​​~gibson/​publications/​SchneiderPRE08.pdf|PDF]] 
-   * J. Wang, J.F. Gibson, and F. Waleffe //Lower branch coherent states: transition and control// Phys. Rev. Lett. (2007) 98, 20 [[http://​​~gibson/​publications/​WangPRL07.pdf|PDF]] 
references.txt · Last modified: 2010/02/02 07:55 (external edit)