HOMOCLINIC ORBITS IN TRANSITIONAL PLANE COUETTE FLOW |
Lustro, Julius Rhoan T.
(College of Engineering and Agro-Industrial Technology, University of the Philippines Los Banos)
Kawahara, Genta (Graduate School of Engineering Science, Osaka University) van Veen, Lennaert (Faculty of Science, University of Ontario Institute of Technology) Shimizu, Masaki (Graduate School of Engineering Science, Osaka University) |
1 | 2008, Eckhardt, B., Faisst, H., Schmiegel, A. and Schneider, T.M., "Dynamical systems and the transition to turbulence in linearly stable shear flows," Phil. Trans. R. Soc. A, 366:1297-1315. DOI |
2 | 1995, Hamilton, J.M., Kim, J. and Waleffe, F., "Regeneration mechanisms of near-wall turbulence structures," J. Fluid Mech., 287:317-348. DOI |
3 | 2001, Kawahara, G. and Kida, S., "Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst," J. Fluid Mech., 449:291-300. DOI |
4 | 2012, Kawahara, G., Uhlmann, M. and van Veen, L., "The significance of simple invariant solutions in turbulent flows," Annu. Rev. Fluid Mech., 44:203-25. DOI |
5 | 2005, Kawahara, G., "Laminarization of minimal plane Couette flow: going beyond the basin of attraction of turbulence," Phys. Fluids, 17:041702. DOI |
6 | 1987, Kim, J., Moin, P. and Moser, R., "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech., 177:133-166. DOI |
7 | 2005, Jimenez, J, Kawahara, G., Simens, M.P. et. al., "Characterization of near-wall turbulence in terms of equilibrium and 'bursting' solutions," Phys. Fluids, 17:01510. |
8 | 2013, Lustro, J.R.T., van Veen, L. and Kawahara, G., "Long-term rigorous numerical integration of Navier-Stokes equation by Newton-GMRES iteration," TNUAA, Vol.30, No.3:248-251. |
9 | 1990, Nagata, M., "Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity," J. Fluid Mech., 217:519-527. DOI |
10 | 2006, Skufca, J., Yorke, J. and Eckhardt, B., "The edge of chaos in a parallel shear flow," Phys Rev. Lett., 96:174101. DOI |
11 | 2011, van Veen, L., Kawahara, G. and Matsumura, A., "On matrix-free computation of 2d unstable manifolds," SIAM J. Sci. Comput., 33:25-44. DOI |
12 | 2011, van Veen, L. and Kawahara, G., "Homoclinic tangle on the edge of shear turbulence," Phys Rev. Lett., 107:114501. DOI |