Multi-size-mesh Multi-time-step Dispersion-relation-preserving Scheme for Multiple-scales Aeroacoustics Problems

Tam, Christopher K. W.; Kurbatskii, Konstantin A.

doi:10.1080/1061856031000104860

Cited by 84 publications

(69 citation statements)

References 12 publications

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“…The RNG k -ε model has renormalized Navier -Stokes equations to take into account the effects of smaller scales of motion [5], [11], [12]. The RNG model includes analytical expression for turbulent Prandtl numbers, effective viscosity and the effect of swirl on turbulence.…”

Section: B Rng K -ε Turbulence Modelmentioning

confidence: 99%

“…The Realizable k -ε model dissipation rate equation is based on the dynamic equation of the mean-square velocity fluctuation at a large turbulent Reynolds number [5], [11], [12]. It contains a new formulation for turbulent viscosity and the dissipation rate equation is modified as follows:…”

Section: Realizable K -ε Turbulence Modelmentioning

confidence: 99%

“…The limited linear differencing scheme is a second order central differencing scheme with a value cropping condition which forbids the calculated value to differ from other points more than for the specified threshold [12].…”

Section: B Limited Linear Differencing Schemementioning

confidence: 99%

“…The upwind scheme is a first order differencing scheme, which is dependent on the direction of the wind and introduces artificial viscosity of the mesh [12]. The value of flux [6], [7] is evaluated as ,…”

Section: Upwind Schemementioning

confidence: 99%

“…This scheme uses linear upwind differencing and, in the case of divergent terms, it behaves like a first/second order, bounded scheme [12]. This scheme can switch between two other schemes, depending on convergence.…”

Section: Linear Upwind Schemementioning

confidence: 99%

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Parametric Studies for Vertical Axis Wind Turbine Simulations

Gulbe¹,

Jēkabsons²,

Traskovs³

2011

Scientific Journal of Riga Technical University. Environmental and Climate Technologies

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-Efficiency of the vertical axis wind turbine depends on turbine design. Wind tunnel experiments, usually performed for evaluation of turbine design, are expensive in comparison with CFD simulations. Although purely numeric, CFD models critically depend on a large set of parameters, which varies from mesh size to numerical schemes and models of turbulence. The aim of the presented research is to evaluate the critical ranges of these parameters for a practically applicable turbine design.Keywords -convergence of the model, mesh size, models of turbulence, numerical approximation schemes

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Section: B Rng K -ε Turbulence Modelmentioning

confidence: 99%

Section: Realizable K -ε Turbulence Modelmentioning

confidence: 99%

Section: B Limited Linear Differencing Schemementioning

confidence: 99%

Section: Upwind Schemementioning

confidence: 99%

Section: Linear Upwind Schemementioning

confidence: 99%

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Parametric Studies for Vertical Axis Wind Turbine Simulations

Gulbe¹,

Jēkabsons²,

Traskovs³

2011

Scientific Journal of Riga Technical University. Environmental and Climate Technologies

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On the signal degradation induced by the interpolation and the sampling rate reduction in aeroacoustics hybrid methods

Cunha

Redonnet

2012

Numerical Methods in Fluids

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SUMMARY Taking place within more extensive work that focuses on hybrid methods in aeroacoustics, the present study is devoted to the data transfer operations that are to be performed between two stages of a hybrid calculation. More precisely, the article focuses on two typical operations that usually accompany such data transfer, which are (i) the sampling rate reduction and (ii) the interpolation of the unsteady perturbations to be transmitted from one stage to the other. First part of the paper analyzes the two main issues of such operations, which are the spuriousing and the aliasing phenomena. For doing so, the usual notions of the interpolation theory are revisited before they are synthesized within an original approach. The here proposed formalism allows to understand better both the spuriousing and the aliasing phenomena, as well as to accurately predict the impact of the latter on the data to be transmitted in terms of signal degradation. Second part of the paper provides an illustration and a validation of these theoretical developments via a direct application to a typical aerodynamic noise problem (aeroacoustic emission by a 2D cylinder cross flow). There, it is further shown how the here proposed formalism can help in improving aeroacoustics hybrid calculations by predicting (and thus possibly minimizing) the bias to be induced on the acoustic extrapolation stage because of the aliasing and/or spuriousing effects inherited from the sampling rate reduction and/or interpolation of CFD data—which is likely to occur in any hybrid scenario. Copyright © 2012 John Wiley & Sons, Ltd.

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