references
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| ====== References ====== | ====== References ====== | ||
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| ===== Numerical algorithms ===== | ===== Numerical algorithms ===== | ||
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| - | - 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) | + | * 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) |
| - | - Canuto, Hussaini, Quarteroni, and Zang, //Spectral Methods in Fluid Dynamics//, Springer-Verlag (1998) | + | |
| - | - R. Peyret, //Spectral Methods for Incompressible Flows,"// Springer-Verlag (2002) | + | * C. Canuto, M.Y. Hussaini, A. Quarteroni, and T.A. Zang, //Spectral Methods in Fluid Dynamics//, Springer-Verlag (1998) |
| - | - 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) | + | * R. Peyret, //Spectral Methods for Incompressible Flows,// Springer-Verlag (2002) |
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| + | * D. Viswanath, //Recurrent motions within plane Couette turbulence,// J. Fluid Mech. 580 (2007), arXiv:/physics/0604062 | ||
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| + | * M. Frigo and S.G. Johnson, //The Design and Implementation of FFTW3,// Proceedings of the IEEE 93 (2) (2005) | ||
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| + | * 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 ===== | ===== Dynamics of turbulence ===== | ||
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| * 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. | * 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. | + | * 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://www.cns.gatech.edu/~gibson/publications/GibsonJFM08.pdf|PDF]] | * 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://www.cns.gatech.edu/~gibson/publications/GibsonJFM08.pdf|PDF]] | ||
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