Flow control: new challenges for a new Renaissance

By Thomas R. Bewley. 2001

456 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9b442e6d3a485e1daf736846860f7e286ccac067

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Citations in the corpus

State estimation in wall-bounded flow systems. Part 2. Turbulent flows (2006, unknown): “As illustrated in figure 1(b) and table 1 of Bewley & Liu 1998 (hereafter, BL98) and discussed further in Part 1, even in the laminar case, at kx = 1, kz = 0 a significant number of the leading eigenmodes of the system are ‘centre modes’ with little support near the walls, and are thus nearly unobse”
Closed-loop control of an open cavity flow using reduced-order models (2009, background): “Over the past years the control of fluid flow has come to prominence as a new and promising subject that combines our understanding of the dynamics of a fluid system with techniques to manipulate it (Bewley 2001; Kim 2003; Kim & Bewley 2007).”
Characterization of noise amplifiers with global singular modes: the case of the leading-edge flat-plate boundary layer (2013, background): “Usually, there are two approaches [25] to solve an optimization problem.”
Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition (2010, methodology): “This is known as ‘optimize then discretize’ (OTD) in Bewley (2001) and ‘finite difference of adjoint’ in Sirkes & Tziperman (1997). The second way is to discretize the direct governing equations, as in § B.”
Learning to Control PDEs with Differentiable Physics (2020, methodology): “The adjoint method (Lions, 1971; Pironneau, 1974; Jameson, 1988; Giles & Pierce, 2000; Bewley, 2001; McNamara et al., 2004) is used by most machine learning frameworks, where it is commonly known as reverse mode differentiation (Werbos, 2006; Chen et al.”
Balanced truncation model reduction for semidiscretized Stokes equation (2006, methodology): “Using a finite volume semidiscretization method on a uniform staggered grid [4, 41] with n1 + 1 points in the ξ1-direction and n2 + 1 points in ξ2-direction, we obtain system (1.”
Analysis and Numerical Solution of Generalized Lyapunov Equations (2002, methodology): “These equations arise in many different applications such as electrical circuits [21, 30, 31, 69, 70], multibody systems [45, 132, 138], chemical engineering [21, 97], (semi)discretization of partial differential equations [19, 21, 170], economic systems [110] and others.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “[21] for receptivity studies and by Bewley [92] and Corbett et al.”
Linear feedback control and estimation of transition in plane channel flow (2003, background): “For a thorough discussion about the implications of this property of the kernels and practical implementation issues the reader is deferred to Bewley (2001).”
Issues in active flow control: theory, control, simulation, and experiment (2004, methodology): “Others have used a similar methodology for drag reduction in planar turbulent channel flow [65,124,125] using DNS.”
DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms (2001, methodology): “As discussed in Bewley (2001) and Bewley et al. (2000), the approach used in the present paper may be extended readily to a variety of problems in fluid mechanics, including the optimization of open-loop time-periodic forcing profiles for turbulent jets and the forecasting of chaotic fluid systems…”