Abstract
Laminar-turbulent transition in plane Poiseuille flow is simulated using the FourierChebyshev spectral method to integrate the three-dimensional time-dependent NavierStokes equations. For pressure computation, a new algorithm has been developed which enforces incompressibility and boundary conditions exactly even in the discretised equations. Detailed comparisons of the numerical results have been made with the vibrating-ribbon experiments of Nishioka et al. It is established that the numerical simulations reproduce the experimentally observed transition process up to the “spike” stage.
Preview
Unable to display preview. Download preview PDF.
References
M. Nishioka, S. Iida, Y. Ichikawa: An experimental investigation of the stability of plane Poiseuille flow. J.Fluid Mech. 72 (1975) 731–751
M. Nishioka, S. Iida, S. Kanbayashi: An experimental investigation of the subcritical instability in plane Poiseuille flow (in Japanese). Proc. 10th Turbulence Symposium, Inst. Space Aeron. Sci., Tokyo Univ., 1978, p. 55-62
M. Nishioka, M. Asai, S. Iida: An experimental investigation of the secondary instability. Proc. IUTAM Symposium, Stuttgart, 1979 (ed. R. Eppler, H. Fasel) Springer, Berlin 1980, 37–46
Th. Herbert: Stability of plane Poiseuille flow-theory and experiment. Report VPI-E-81-35, to be published in Fluid Dynamics Transactions
S.A. Orszag, L.C. Kells: Transition to turbulence in plane Poiseuille and plane Couette flow. J.Fluid Mech. 96 (1980) 159–205
S.A. Orszag, A.T. Patera: Subcritical transition to turbulence in plane channel flows. Phys.Rev.Lett. 45 (1980) 989–993
L. Kleiser: Numerische Simulationen zum laminar-turbulenten Umschlagsproze\ der ebenen Poiseuille-Str6mung. Dissertation, Karlsruhe 1982 (report KfK3271)
L. Kleiser, U. Schumann: Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows. Proc. 3rd GAMM-Conference on Numerical Methods in Fluid Mechanics (ed. E.H. Hirschel), Vieweg Verlag, Braunschweig 1980, 165–173
D. Gottlieb, S.A. Orszag: Numerical analysis of spectral methods: Theory and applications. NSF-CBMS Monograph 26, SIAM, Philadelphia 1977
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Kleiser, L. (1982). Spectral simulations of laminar-turbulent transition in plane Poiseuille flow and comparison with experiments. In: Krause, E. (eds) Eighth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11948-5_32
Download citation
DOI: https://doi.org/10.1007/3-540-11948-5_32
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11948-7
Online ISBN: 978-3-540-39532-4
eBook Packages: Springer Book Archive