The onset of shear flow turbulence

By S. Grossmann. 2000

316 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Networks and Communications, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/f1f26ef69bf00a5c462925c240ef185bf78ea489

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computer Networks and Communications

In Global and Planetary Change

Citations in the corpus

Front propagation into unstable states (2003, background): “34 indicates, although the subcritical behavior is common to all three cases, there is an important conceptual difference as well: planar Poiseuille is linearly unstable beyond Re = 5772 while planar Couette and pipe Poiseuille flow are stable for any finite Reynolds number — the critical amplitude ”
A universal transition to turbulence in channel flow (2015, background): “25(5), which is close to the universal exponent in DP, μDP ⊥ =1.”
Turbulence transition in pipe flow (2007, background): “Grossmann (2000) summarized the physics of non-normal amplification and its consequences for threshold behavior.”
High-Reynolds number Taylor-Couette turbulence. (2016, methodology): “This was done by Eckhardt, Grossmann & Lohse (2007b).”
Perspectives on viscoelastic flow instabilities and elastic turbulence (2021, background): “Instead, some of the modes become almost parallel to each other, especially for sufficiently large Reynolds numbers [166].”
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 ”
Fundamental Statistical Descriptions of Plasma Turbulence in Magnetic Fields (2001, background): “Notably, (i) the pedagogical article by Grossmann (2000) describes current understanding of the submarginal onset of shear-flow turbulence [see Sec.”
Instability of Taylor-Couette flow between concentric rotating cylinders (2005, background): “Esser and Grossmann have also given an analytical equation for the critical condition by an simple approximation, but a constant in the equation have to be fixed using the result of linear stability analysis [12].”