Energy amplification in channel flows with stochastic excitation

By Bassam Bamieh, M. Dahleh. 2001

221 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/b46f3c7476457afd54d0e4bdb73514f900d8e4ba

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 Environmental Engineering

Citations in the corpus

Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number (2010, methodology): “For further details, the interested reader is referred to the papers by Farrell & Ioannou (1993a,b), Zhou et al. (1996), Bamieh & Dahleh (2001) and Jovanović & Bamieh (2005) and Schmid (2007).”
Nonmodal Stability Theory (2007, unknown): “In the special case of streamwise independent perturbations, Bamieh & Dahleh (2001) exploited scaling laws and the block-triangular structure of the system matrix A to demonstrate that the H2-norm of the transfer function depends cubically on the Reynolds number.”
Dynamics and control of high-reynolds-number flow over open cavities (2006, methodology): “Cattafesta et al. (1997) used this approach to obtain a discrete-time model which was used to design control laws.”
Model Reduction for fluids, Using Balanced Proper Orthogonal Decomposition (2005, background): “For instance, the mechanisms by which a fluid flow transitions from laminar to turbulent are still not fully understood: at this point, it is not even clear whether the mechanisms are fundamentally nonlinear [Holmes et al., 1996] or linear [Farrell & Ioannou , 1993; Bamieh & Daleh, 2001].”
Comparison of systems with complex behavior (2004, background): “In addition, there has been a substantial interest recently in improving the Galerkin projection methods for obtaining low-dimensional models of formally infinite-dimensional systems by introducing stochastic terms to account for neglected modes [15,6,39,31, 3 ,23,7].”
A critical-layer framework for turbulent pipe flow (2010, background): “…flow in terms of optimal transient modes in the initial value problem (Butler & Farrell 1992b; del Álamo & Jiménez 2006; Cossu et al. 2009), response to stochastic forcing (Farrell & Ioannou 1998; Bamieh & Dahleh 2001) and system norm analysis (Meseguer & Trefethen 2003; Jovanovic & Bamieh 2005).”
Control: A perspective (2014, methodology): “Another attempt based on linear analysis was made by Dahleh and Bamieh [46].”
Componentwise energy amplification in channel flows (2005, methodology): “In Couette flow, the formula for gu(kz) can be obtained by comparing the expression for [‖H‖22](kz) of § 4 with its counterpart of Bamieh & Dahleh (2001).”
Linear non-normal energy amplification of harmonic and stochastic forcing in the turbulent channel flow (2010, background): “For further details, the reader is referred to Farrell & Ioannou (1993a ,b), Zhou et al. (1996), Bamieh & Dahleh (2001), Jovanović & Bamieh (2005) and Schmid (2007).”