Linearized pipe flow to Reynolds number 10 7

By A. Meseguer, Lloyd N. Trefethen. 2003

221 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/f738ef7cf76fbb835ca697c92d85589bfa64eb2b

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In Computational Mechanics

In Environmental Engineering

Citations in the corpus

The engine behind (wall) turbulence: perspectives on scale interactions (2017, background): “…resolution must be determined for the Reynolds number under consideration and the wall-normal footprint of uk and f k, 817 P1-24 such that the influence of high shear near the wall is fully captured in converged singular functions (see, for example, Meseguer & Trefethen 2003, for a related study).”
Theoretical perspective on the route to turbulence in a pipe (2016, methodology): “We know from numerical computations that laminar pipe flow is stable to infinitesimal disturbances (linear stability) to at least Re= 107 (Salwen, Cotton & Grosch 1980; Meseguer & Trefethen 2003).”
Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels (2013, background): “(2.5) McKeon & Sharma (2010) implicitly accounted for the continuity constraint by projecting the velocity field onto the divergence-free basis of Meseguer & Trefethen (2003).”
A critical-layer framework for turbulent pipe flow (2010, methodology): “For the particular problem under consideration here, the only modification to the linear operator used by Meseguer & Trefethen (2003) is the use of the turbulent mean velocity profile instead of the steady parabolic laminar base flow, as discussed above.”
Turbulence transition in pipe flow (2007, background): “Pipe flow differs from many other flow situations in that the laminar profile is linearly stable for all Reynolds numbers: All sufficiently small perturbations will decay [see, e.g., Salwen et al. (1980) and, in particular, Meseguer & Trefethen (2003), who analyzed the problem up to Re = 107].”
Sensitive dependence on initial conditions in transition to turbulence in pipe flow (2003, background): “On the theoretical side, no linear instability could be found (see Schmid & Henningson 1994; Meseguer & Trefethen 2003 and references therein) but analysis of the consequences of the non-normality of the linearized problem has led to the identification of efficient amplification mechanisms that can…”
On coherent structure in wall turbulence (2013, methodology): “As in McKeon & Sharma (2010), the computational analysis of LK was performed using a modified version of the spectral code of Meseguer & Trefethen (2003).”