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.
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References
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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
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DOI: https://doi.org/10.1007/3-540-11948-5_32
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