Abstract
Fully developed incompressible turbulent flow in a smooth pipe is an important, but yet canonical problem in fluid mechanics. During recent years, large experimental (Talamelli et al. Fluid Dyn. Res. 41:021407, 2009 [1]) and numerical (El Khoury et al. Flow Turbul. Combust. 91:475–495, 2013 [2]) interest has shown a number of open questions, in particular related to the scaling of mean and fluctuating quantities, but also to explain similarities and differences to the other canonical wall flows (channels, boundary layers). Most previous numerical efforts towards simulating pipe flows were based on low-order discretisation schemes, motivated by the potential difficulties in the pipe centre, and the need to resolve the numerical singularity. Nevertheless, also a number of high-order methods, based on either radial Chebyshev discretisation, or spectral elements, have been proposed, and used successfully.
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References
Talamelli, A., Persiani, F., Fransson, J.H.M., Alfredsson, P.H., Johansson, A.V., Hagib, H.M., Rüedi, J.-D., Sreenivasan, K.R., Monkewitz, P.: CICLoPE - a response to the need for high Reynolds number experiments. Fluid Dyn. Res. 41, 021407 (2009)
El Khoury, G.K., Schlatter, P., Noorani, A., Fischer, P.F., Brethouwer, G., Johansson, A.V.: Direct numerical simulation of turbulent pipe flow at moderately high Reynolds numbers. Flow Turbul. Combust. 91, 475–495 (2013)
Kleiser, L., Schumann, U.: Treatment of incompressibility and boundary conditions on 3-D numerical spectral simulations of plane channel flow. Proc. 3rd GAMM Conf. Numer. Methods Fluid Mech. 59, 165–173 (1980)
Lenaers, P., Schlatter, P., Brethouwer, G., Johansson, A.V.: A new high-order method for the simulation of incompressible wall-bounded turbulent flows. J. Comput. Phys. 272, 108–126 (2014)
Lenaers, P.: A new high-order method for direct numerical simulations of turbulent wall-bounded flows, PhD Thesis, KTH Mechanics (2014)
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Lenaers, P., Schlatter, P., Brethouwer, G., Johansson, A.V. (2016). A New High-Order Method for Simulating Turbulent Pipe Flow. In: Peinke, J., Kampers, G., Oberlack, M., Wacławczyk, M., Talamelli, A. (eds) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-319-29130-7_37
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DOI: https://doi.org/10.1007/978-3-319-29130-7_37
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