Turbulence over a compliant surface: numerical simulation and analysis

Xu, Sheng; Rempfer, Dietmar; Lumley, John L.

doi:10.1017/s0022112002003324

Cited by 62 publications

(50 citation statements)

References 29 publications

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“…This includes passive control involving two-or three-dimensional riblets and compliant surfaces (e.g. Bechert et al 1997;Xu, Rempfer & Lumley 2003;Fukagata et al 2008;Choi et al 2012), open-loop active control (transverse wall oscillations, upstream-travelling waves of blowing and suction, streamwise waves of spanwise velocity at the wall (see e.g. Quadrio & Ricco 2004;Min et al 2006;Quadrio, Ricco & Viotti 2009;Moarref & Jovanovic 2012)), as well as feedback flow control.…”

Section: Introductionmentioning

confidence: 99%

Opposition control within the resolvent analysis framework

2014

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as an example. Under this formulation, the velocity field for turbulent pipe flow is decomposed into a series of highly amplified (rank-1) response modes, identified from a gain analysis of the Fourier-transformed NavierStokes equations. These rank-1 velocity responses represent propagating structures of given streamwise/spanwise wavelength and temporal frequency, whose wall-normal footprint depends on the phase speed of the mode. Opposition control, introduced via the boundary condition on wall-normal velocity, affects the amplification characteristics (and wall-normal structure) of these response modes; a decrease in gain indicates mode suppression, which leads to a decrease in the drag contribution from that mode. With basic assumptions, this rank-1 model reproduces trends observed in previous direct numerical simulation and large eddy simulation, without requiring high-performance computing facilities. Further, a wavenumber-frequency breakdown of control explains the deterioration of opposition control performance with increasing sensor elevation and Reynolds number. It is shown that slower-moving modes localized near the wall (i.e. attached modes) are suppressed by opposition control. Faster-moving detached modes, which are more energetic at higher Reynolds number and more likely to be detected by sensors far from the wall, are further amplified. These faster-moving modes require a phase lag between sensor and actuator velocity for suppression. Thus, the effectiveness of opposition control is determined by a trade-off between the modes detected by the sensor. However, it may be possible to develop control strategies optimized for individual modes. A brief exploration of such mode-optimized control suggests the potential for significant performance improvement.

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Section: Introductionmentioning

confidence: 99%

Opposition control within the resolvent analysis framework

2014

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“…Their contravariant formulation has been written in a discrete form, from which the corresponding differential equation is not directly derivable. Carlson et al [21] derived a tensorial differential formulation of the contravariant Navier-Stokes equations in moving curvilinear coordinates, which is used by [22]. The contravariant differential formulation proposed by [21] does not include all the additional terms that arise when deriving the temporal derivative of a vector tensor in a time-dependent curvilinear coordinate system and, consequently, has no general validity.…”

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confidence: 99%

Numerical integration of the contravariant integral form of the Navier–Stokes equations in time-dependent curvilinear coordinate systems for three-dimensional free surface flows

Cannata

Petrelli

Barsi

et al. 2018

Continuum Mech. Thermodyn.

107

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We propose a three-dimensional non-hydrostatic shock-capturing numerical model for the simulation of wave propagation, transformation and breaking, which is based on an original integral formulation of the contravariant Navier-Stokes equations, devoid of Christoffel symbols, in general time-dependent curvilinear coordinates. A coordinate transformation maps the time-varying irregular physical domain that reproduces the complex geometries of coastal regions to a fixed uniform computational one. The advancing of the solution is performed by a second-order accurate strong stability preserving Runge-Kutta fractional-step method in which, at every stage of the method, a predictor velocity field is obtained by the shock-capturing scheme and a corrector velocity field is added to the previous one, to produce a non-hydrostatic divergence-free velocity field and update the water depth. The corrector velocity field is obtained by numerically solving a Poisson equation, expressed in integral contravariant form, by a multigrid technique which uses a four-colour Zebra Gauss-Seidel line-by-line method as smoother. Several test cases are used to verify the dispersion and shockcapturing properties of the proposed model in time-dependent curvilinear grids.

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“…They did not observe any DR in their simulation results. The differences in results obtained by Xu et al [107] and Endo and Himeno [106] were due to the different averaging times used in their simulations.…”

Section: Compliant Surfacesmentioning

confidence: 82%

“…Xu et al [107] used the incompressible Navier-Stokes equations to model the fluid motion and the compliant surfaces were modeled as homogeneous spring-supported plates. They did not observe any DR in their simulation results.…”

Section: Compliant Surfacesmentioning

confidence: 99%

Reviews on drag reducing polymers

Tiong

Perumal

2015

Korean J. Chem. Eng.

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Polymers are effective drag reducers owing to their ability to suppress the formation of turbulent eddies at low concentrations. Existing drag reduction methods can be generally classified into additive and non-additive techniques. The polymer additive based method is categorized under additive techniques. Other drag reducing additives are fibers and surfactants. Non-additive techniques are associated with the applications of different types of surfaces: riblets, dimples, oscillating walls, compliant surfaces and microbubbles. This review focuses on experimental and computational fluid dynamics (CFD) modeling studies on polymer-induced drag reduction in turbulent regimes. Other drag reduction methods are briefly addressed and compared to polymer-induced drag reduction. This paper also reports on the effects of polymer additives on the heat transfer performances in laminar regime. Knowledge gaps and potential research areas are identified. It is envisaged that polymer additives may be a promising solution in addressing the current limitations of nanofluid heat transfer applications.

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Turbulence over a compliant surface: numerical simulation and analysis

Cited by 62 publications

References 29 publications

Opposition control within the resolvent analysis framework

Opposition control within the resolvent analysis framework

Numerical integration of the contravariant integral form of the Navier–Stokes equations in time-dependent curvilinear coordinate systems for three-dimensional free surface flows

Reviews on drag reducing polymers

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